The Comprehensive LaTeX Symbol List - Harvey Mudd College Mirror

The Comprehensive LATEX Symbol List

Scott Pakin ltscott+clslpakinorggtlowast

19 January 2017

Abstract

This document lists 14283 symbols and the corresponding LATEX commands that produce themSome of these symbols are guaranteed to be available in every LATEX 2120576 system others require fonts andpackages that may not accompany a given distribution and that therefore need to be installed All of thefonts and packages used to prepare this documentmdashas well as this document itselfmdashare freely availablefrom the Comprehensive TEX Archive Network (httpwwwctanorg)

Contents

Contents 1

1 Introduction 1211 Document Usage 1212 Frequently Requested Symbols 12

2 Body-text symbols 14Table 1 LATEX 2120576 Escapable ldquoSpecialrdquo Characters 14Table 2 Predefined LATEX 2120576 Text-mode Commands 14Table 3 LATEX 2120576 Commands Defined to Work in Both Math and Text Mode 15Table 4 119964ℳ119982 Commands Defined to Work in Both Math and Text Mode 15Table 5 Non-ASCII Letters (Excluding Accented Letters) 15Table 6 textgreek Upright Greek Letters 16Table 7 Letters Used to Typeset African Languages 16Table 8 Letters Used to Typeset Vietnamese 16Table 9 Punctuation Marks Not Found in OT1 17Table 10 pifont Decorative Punctuation Marks 17Table 11 tipa Phonetic Symbols 17Table 12 tipx Phonetic Symbols 18Table 13 wsuipa Phonetic Symbols 19Table 14 wasysym Phonetic Symbols 20Table 15 phonetic Phonetic Symbols 20Table 16 t4phonet Phonetic Symbols 20Table 17 semtrans Transliteration Symbols 20Table 18 Text-mode Accents 21Table 19 tipa Text-mode Accents 21Table 20 extraipa Text-mode Accents 23Table 21 wsuipa Text-mode Accents 23Table 22 phonetic Text-mode Accents 23Table 23 metre Text-mode Accents 24

lowastThe original version of this document was written by David Carlisle with several additional tables provided by AlexanderHolt See Section 108 on page 246 for more information about who did what

1

Table 24 t4phonet Text-mode Accents 24Table 25 arcs Text-mode Accents 24Table 26 semtrans Accents 24Table 27 ogonek Accents 24Table 28 combelow Accents 25Table 29 wsuipa Diacritics 25Table 30 textcomp Diacritics 25Table 31 marvosym Diacritics 25Table 32 textcomp Currency Symbols 26Table 33 marvosym Currency Symbols 26Table 34 fontawesome Currency Symbols 26Table 35 wasysym Currency Symbols 26Table 36 ChinA2e Currency Symbols 26Table 37 teubner Currency Symbols 27Table 38 tfrupee Currency Symbols 27Table 39 eurosym Euro Signs 27Table 40 fourier Euro Signs 27Table 41 textcomp Legal Symbols 27Table 42 fontawesome Legal Symbols 27Table 43 cclicenses Creative Commons License Icons 28Table 44 ccicons Creative Commons License Icons 28Table 45 textcomp Old-style Numerals 28Table 46 Miscellaneous textcomp Symbols 28Table 47 Miscellaneous wasysym Text-mode Symbols 28

3 Mathematical symbols 30Table 48 Math-Mode Versions of Text Symbols 30Table 49 cmll Unary Operators 30Table 50 Binary Operators 31Table 51 119964ℳ119982 Binary Operators 31Table 52 stmaryrd Binary Operators 32Table 53 wasysym Binary Operators 32Table 54 txfontspxfonts Binary Operators 32Table 55 mathabx Binary Operators 33Table 56 MnSymbol Binary Operators 33Table 57 fdsymbol Binary Operators 34Table 58 boisik Binary Operators 35Table 59 stix Binary Operators 36Table 60 mathdesign Binary Operators 37Table 61 cmll Binary Operators 37Table 62 shuffle Binary Operators 37Table 63 ulsy Geometric Binary Operators 37Table 64 mathabx Geometric Binary Operators 37Table 65 MnSymbol Geometric Binary Operators 38Table 66 fdsymbol Geometric Binary Operators 38Table 67 boisik Geometric Binary Operators 39Table 68 stix Geometric Binary Operators 40Table 69 halloweenmath Halloween-Themed Math Operators 40Table 70 stix Small Integrals 41Table 71 stix Small Integrals with Explicit Slant 41Table 72 Variable-sized Math Operators 42Table 73 119964ℳ119982 Variable-sized Math Operators 42Table 74 stmaryrd Variable-sized Math Operators 42Table 75 wasysym Variable-sized Math Operators 43

2

Table 76 mathabx Variable-sized Math Operators 43Table 77 txfontspxfonts Variable-sized Math Operators 44Table 78 esint Variable-sized Math Operators 45Table 79 bigints Variable-sized Math Operators 46Table 80 MnSymbol Variable-sized Math Operators 46Table 81 fdsymbol Variable-sized Math Operators 47Table 82 boisik Variable-sized Math Operators 48Table 83 stix Variable-sized Math Operators 48Table 84 stix Integrals with Explicit Slant 50Table 85 mathdesign Variable-sized Math Operators 51Table 86 prodint Variable-sized Math Operators 52Table 87 cmll Large Math Operators 52Table 88 Binary Relations 52Table 89 119964ℳ119982 Binary Relations 52Table 90 119964ℳ119982 Negated Binary Relations 53Table 91 stmaryrd Binary Relations 53Table 92 wasysym Binary Relations 53Table 93 txfontspxfonts Binary Relations 53Table 94 txfontspxfonts Negated Binary Relations 54Table 95 mathabx Binary Relations 54Table 96 mathabx Negated Binary Relations 54Table 97 MnSymbol Binary Relations 55Table 98 MnSymbol Negated Binary Relations 56Table 99 fdsymbol Binary Relations 57Table 100 fdsymbol Negated Binary Relations 59Table 101 boisik Binary Relations 60Table 102 boisik Negated Binary Relations 60Table 103 stix Binary Relations 61Table 104 stix Negated Binary Relations 62Table 105 mathtools Binary Relations 62Table 106 turnstile Binary Relations 63Table 107 trsym Binary Relations 64Table 108 trfsigns Binary Relations 64Table 109 cmll Binary Relations 64Table 110 colonequals Binary Relations 64Table 111 fourier Binary Relations 64Table 112 Subset and Superset Relations 64Table 113 119964ℳ119982 Subset and Superset Relations 65Table 114 stmaryrd Subset and Superset Relations 65Table 115 wasysym Subset and Superset Relations 65Table 116 txfontspxfonts Subset and Superset Relations 65Table 117 mathabx Subset and Superset Relations 65Table 118 MnSymbol Subset and Superset Relations 66Table 119 fdsymbol Subset and Superset Relations 66Table 120 boisik Subset and Superset Relations 66Table 121 stix Subset and Superset Relations 67Table 122 Inequalities 67Table 123 119964ℳ119982 Inequalities 67Table 124 wasysym Inequalities 68Table 125 txfontspxfonts Inequalities 68Table 126 mathabx Inequalities 68Table 127 MnSymbol Inequalities 69Table 128 fdsymbol Inequalities 70Table 129 boisik Inequalities 71

3

Table 130 stix Inequalities 71Table 131 119964ℳ119982 Triangle Relations 72Table 132 stmaryrd Triangle Relations 72Table 133 mathabx Triangle Relations 73Table 134 MnSymbol Triangle Relations 73Table 135 fdsymbol Triangle Relations 74Table 136 boisik Triangle Relations 74Table 137 stix Triangle Relations 74Table 138 Arrows 75Table 139 Harpoons 75Table 140 textcomp Text-mode Arrows 75Table 141 119964ℳ119982 Arrows 75Table 142 119964ℳ119982 Negated Arrows 75Table 143 119964ℳ119982 Harpoons 76Table 144 stmaryrd Arrows 76Table 145 txfontspxfonts Arrows 76Table 146 mathabx Arrows 76Table 147 mathabx Negated Arrows 76Table 148 mathabx Harpoons 77Table 149 MnSymbol Arrows 77Table 150 MnSymbol Negated Arrows 79Table 151 MnSymbol Harpoons 80Table 152 MnSymbol Negated Harpoons 81Table 153 fdsymbol Arrows 81Table 154 fdsymbol Negated Arrows 83Table 155 fdsymbol Harpoons 85Table 156 fdsymbol Negated Harpoons 85Table 157 boisik Arrows 86Table 158 boisik Negated Arrows 87Table 159 boisik Harpoons 87Table 160 stix Arrows 87Table 161 stix Negated Arrows 90Table 162 stix Harpoons 90Table 163 harpoon Extensible Harpoons 91Table 164 chemarrow Arrows 91Table 165 fge Arrows 91Table 166 old-arrows Arrows 92Table 167 old-arrows Harpoons 92Table 168 esrelation Restrictions 92Table 169 MnSymbol Spoons 93Table 170 MnSymbol Pitchforks 93Table 171 MnSymbol Smiles and Frowns 94Table 172 fdsymbol Spoons 94Table 173 fdsymbol Pitchforks 95Table 174 fdsymbol Smiles and Frowns 95Table 175 ulsy Contradiction Symbols 95Table 176 Extension Characters 95Table 177 stmaryrd Extension Characters 95Table 178 txfontspxfonts Extension Characters 95Table 179 mathabx Extension Characters 95Table 180 stix Extension Characters 96Table 181 Log-like Symbols 96Table 182 119964ℳ119982 Log-like Symbols 96Table 183 ChinA2e Number Sets 96

4

Table 184 Greek Letters 97Table 185 119964ℳ119982 Greek Letters 97Table 186 txfontspxfonts Upright Greek Letters 98Table 187 upgreek Upright Greek Letters 98Table 188 fourier Variant Greek Letters 98Table 189 txfontspxfonts Variant Latin Letters 99Table 190 boisik Variant Greek Letters 99Table 191 boisik Variant Latin Letters 99Table 192 stix Variant Greek Letters 99Table 193 stix Transformed Greek Letters 99Table 194 119964ℳ119982 Hebrew Letters 99Table 195 MnSymbol Hebrew Letters 99Table 196 fdsymbol Hebrew Letters 99Table 197 boisik Hebrew Letters 100Table 198 stix Hebrew Letters 100Table 199 Letter-like Symbols 100Table 200 119964ℳ119982 Letter-like Symbols 100Table 201 txfontspxfonts Letter-like Symbols 100Table 202 mathabx Letter-like Symbols 100Table 203 MnSymbol Letter-like Symbols 100Table 204 fdsymbol Letter-like Symbols 101Table 205 boisik Letter-like Symbols 101Table 206 stix Letter-like Symbols 101Table 207 trfsigns Letter-like Symbols 101Table 208 mathdesign Letter-like Symbols 101Table 209 fge Letter-like Symbols 102Table 210 fourier Letter-like Symbols 102Table 211 cmll Letter-like Symbols 102Table 212 119964ℳ119982 Delimiters 102Table 213 stmaryrd Delimiters 102Table 214 mathabx Delimiters 102Table 215 boisik Delimiters 102Table 216 stix Delimiters 103Table 217 nath Delimiters 103Table 218 Variable-sized Delimiters 103Table 219 Large Variable-sized Delimiters 104Table 220 119964ℳ119982 Variable-sized Delimiters 104Table 221 stmaryrd Variable-sized Delimiters 104Table 222 mathabx Variable-sized Delimiters 104Table 223 MnSymbol Variable-sized Delimiters 105Table 224 fdsymbol Variable-sized Delimiters 106Table 225 stix Variable-sized Delimiters 107Table 226 mathdesign Variable-sized Delimiters 108Table 227 nath Variable-sized Delimiters (Double) 109Table 228 nath Variable-sized Delimiters (Triple) 109Table 229 fourier Variable-sized Delimiters 109Table 230 textcomp Text-mode Delimiters 110Table 231 metre Text-mode Delimiters 110Table 232 Math-mode Accents 110Table 233 119964ℳ119982 Math-mode Accents 110Table 234 MnSymbol Math-mode Accents 111Table 235 fdsymbol Math-mode Accents 111Table 236 boisik Math-mode Accents 111Table 237 stix Math-mode Accents 111

5

Table 238 fge Math-mode Accents 111Table 239 yhmath Math-mode Accents 112Table 240 Extensible Accents 112Table 241 overrightarrow Extensible Accents 112Table 242 yhmath Extensible Accents 113Table 243 119964ℳ119982 Extensible Accents 113Table 244 MnSymbol Extensible Accents 113Table 245 fdsymbol Extensible Accents 113Table 246 stix Extensible Accents 114Table 247 mathtools Extensible Accents 114Table 248 mathabx Extensible Accents 114Table 249 fourier Extensible Accents 115Table 250 esvect Extensible Accents 115Table 251 abraces Extensible Accents 115Table 252 undertilde Extensible Accents 115Table 253 ushort Extensible Accents 116Table 254 mdwmath Extensible Accents 116Table 255 actuarialangle Extensible Accents 116Table 256 119964ℳ119982 Extensible Arrows 116Table 257 mathtools Extensible Arrows 116Table 258 chemarr Extensible Arrows 116Table 259 chemarrow Extensible Arrows 117Table 260 extarrows Extensible Arrows 117Table 261 extpfeil Extensible Arrows 117Table 262 DotArrow Extensible Arrows 117Table 263 halloweenmath Extensible Arrows 118Table 264 trfsigns Extensible Transform Symbols 118Table 265 esrelation Extensible Relations 118Table 266 halloweenmath Extensible Witches 118Table 267 halloweenmath Extensible Ghosts 118Table 268 holtpolt Non-commutative Division Symbols 119Table 269 Dots 119Table 270 119964ℳ119982 Dots 119Table 271 wasysym Dots 119Table 272 MnSymbol Dots 120Table 273 fdsymbol Dots 120Table 274 stix Dots 120Table 275 mathdots Dots 120Table 276 yhmath Dots 121Table 277 teubner Dots 121Table 278 begriff Begriffsschrift Symbols 121Table 279 frege Begriffsschrift Symbols 121Table 280 mathcomp Math Symbols 121Table 281 marvosym Math Symbols 122Table 282 marvosym Digits 122Table 283 fge Digits 122Table 284 dozenal Base-12 Digits 122Table 285 mathabx Mayan Digits 122Table 286 stix Infinities 122Table 287 stix Primes 122Table 288 stix Empty Sets 123Table 289 119964ℳ119982 Angles 123Table 290 MnSymbol Angles 123Table 291 fdsymbol Angles 123

6

Table 292 boisik Angles 123Table 293 stix Angles 123Table 294 Miscellaneous LATEX 2120576 Math Symbols 124Table 295 Miscellaneous 119964ℳ119982 Math Symbols 124Table 296 Miscellaneous wasysym Math Symbols 124Table 297 Miscellaneous txfontspxfonts Math Symbols 124Table 298 Miscellaneous mathabx Math Symbols 124Table 299 Miscellaneous MnSymbol Math Symbols 125Table 300 Miscellaneous Internal MnSymbol Math Symbols 125Table 301 Miscellaneous fdsymbol Math Symbols 125Table 302 Miscellaneous boisik Math Symbols 125Table 303 Miscellaneous stix Math Symbols 126Table 304 Miscellaneous textcomp Text-mode Math Symbols 126Table 305 Miscellaneous fge Math Symbols 126Table 306 Miscellaneous mathdesign Math Symbols 127Table 307 Math Alphabets 128

4 Science and technology symbols 130Table 308 gensymb Symbols Defined to Work in Both Math and Text Mode 130Table 309 wasysym Electrical and Physical Symbols 130Table 310 ifsym Pulse Diagram Symbols 130Table 311 ar Aspect Ratio Symbol 130Table 312 textcomp Text-mode Science and Engineering Symbols 130Table 313 steinmetz Extensible Phasor Symbol 131Table 314 emf Electromotive Force Symbols 131Table 315 wasysym Astronomical Symbols 131Table 316 marvosym Astronomical Symbols 132Table 317 fontawesome Astronomical Symbols 132Table 318 mathabx Astronomical Symbols 132Table 319 stix Astronomical Symbols 132Table 320 starfont Astronomical Symbols 133Table 321 wasysym APL Symbols 133Table 322 stix APL Symbols 134Table 323 apl APL Symbols 134Table 324 marvosym Computer Hardware Symbols 134Table 325 keystroke Computer Keys 134Table 326 ascii Control Characters (CP437) 135Table 327 logic Logic Gates 135Table 328 marvosym Communication Symbols 136Table 329 marvosym Engineering Symbols 136Table 330 wasysym Biological Symbols 136Table 331 stix Biological Symbols 136Table 332 marvosym Biological Symbols 136Table 333 fontawesome Biological Symbols 136Table 334 marvosym Safety-related Symbols 136Table 335 feyn Feynman Diagram Symbols 137Table 336 svrsymbols Physics Ideograms 137

5 Dingbats 139Table 337 bbding Arrows 139Table 338 pifont Arrows 139Table 339 adfsymbols Arrows 140Table 340 adforn Arrows 140Table 341 arev Arrows 140

7

Table 342 fontawesome Arrows 140Table 343 fontawesome Chevrons 141Table 344 marvosym Scissors 141Table 345 bbding Scissors 141Table 346 pifont Scissors 141Table 347 dingbat Pencils 141Table 348 arev Pencils 141Table 349 fontawesome Pencils 141Table 350 bbding Pencils and Nibs 141Table 351 pifont Pencils and Nibs 142Table 352 dingbat Fists 142Table 353 bbding Fists 142Table 354 pifont Fists 142Table 355 fourier Fists 142Table 356 arev Fists 142Table 357 fontawesome Fists 142Table 358 bbding Crosses and Plusses 143Table 359 pifont Crosses and Plusses 143Table 360 adfsymbols Crosses and Plusses 143Table 361 arev Crosses 143Table 362 bbding Xs and Check Marks 143Table 363 pifont Xs and Check Marks 143Table 364 wasysym Xs and Check Marks 143Table 365 marvosym Xs and Check Marks 143Table 366 arev Xs and Check Marks 144Table 367 fontawesome Xs and Check Marks 144Table 368 pifont Circled Numerals 144Table 369 wasysym Stars 144Table 370 bbding Stars Flowers and Similar Shapes 145Table 371 pifont Stars Flowers and Similar Shapes 145Table 372 adfsymbols Stars Flowers and Similar Shapes 145Table 373 adforn Stars 145Table 374 fontawesome Stars 146Table 375 fourier Fleurons and Flowers 146Table 376 adforn Fleurons and Flowers 146Table 377 wasysym Geometric Shapes 146Table 378 MnSymbol Geometric Shapes 147Table 379 fdsymbol Geometric Shapes 147Table 380 boisik Geometric Shapes 147Table 381 stix Geometric Shapes 148Table 382 ifsym Geometric Shapes 149Table 383 bbding Geometric Shapes 150Table 384 pifont Geometric Shapes 150Table 385 universa Geometric Shapes 150Table 386 adfsymbols Geometric Shapes 150Table 387 fontawesome Geometric Shapes 151Table 388 LATEX 2120576 Playing-Card Suits 151Table 389 txfontspxfonts Playing-Card Suits 151Table 390 MnSymbol Playing-Card Suits 151Table 391 fdsymbol Playing-Card Suits 151Table 392 boisik Playing-Card Suits 151Table 393 stix Playing-Card Suits 151Table 394 arev Playing-Card Suits 151Table 395 adforn Flourishes 152

8

Table 396 Miscellaneous dingbat Dingbats 152Table 397 Miscellaneous bbding Dingbats 152Table 398 Miscellaneous pifont Dingbats 152Table 399 Miscellaneous adforn Dingbats 152

6 Ancient languages 153Table 400 phaistos Symbols from the Phaistos Disk 153Table 401 protosem Proto-Semitic Characters 153Table 402 hieroglf Hieroglyphics 154Table 403 linearA Linear A Script 154Table 404 linearb Linear B Basic and Optional Letters 157Table 405 linearb Linear B Numerals 157Table 406 linearb Linear B Weights and Measures 157Table 407 linearb Linear B Ideograms 158Table 408 linearb Unidentified Linear B Symbols 158Table 409 cypriot Cypriot Letters 158Table 410 sarabian South Arabian Letters 159Table 411 teubner Archaic Greek Letters and Greek Numerals 159Table 412 boisik Archaic Greek Letters and Greek Numerals 159Table 413 epiolmec Epi-Olmec Script 160Table 414 epiolmec Epi-Olmec Numerals 161Table 415 allrunes Runes 162Table 416 allrunes Rune Separators 162

7 Musical symbols 163Table 417 LATEX 2120576 Musical Symbols 163Table 418 textcomp Musical Symbols 163Table 419 wasysym Musical Symbols 163Table 420 MnSymbol Musical Symbols 163Table 421 fdsymbol Musical Symbols 163Table 422 boisik Musical Symbols 163Table 423 stix Musical Symbols 163Table 424 arev Musical Symbols 163Table 425 MusiXTEX Musical Symbols 164Table 426 MusiXTEX Alternative Clefs 165Table 427 harmony Musical Symbols 165Table 428 harmony Musical Accents 165

Table 429 lilylyp s Single Notes 166

Table 430 lilylyp s Beamed Notes 167

Table 431 lilylyp s Clefs 167

Table 432 lilylyp s Time Signatures 167

Table 433 lilylyp s Accidentals 167

Table 434 lilylyp s Rests 168

Table 435 lilylyp s Dynamics Letters 168

Table 436 lilylyp s Dynamics Symbols 168

Table 437 lilylyp s Articulations 168

Table 438 lilylyp s Scripts 168

Table 439 lilylyp s Accordion Notation 168

Table 440 lilylyp s Named Time Signatures 169

Table 441 lilylyp s Named Scripts 169

9

Table 442 lilylyp s Named Rests 170

Table 443 lilylyp s Named Pedals 170

Table 444 lilylyp s Named Flags 171

Table 445 lilylyp s Named Custodes 171

Table 446 lilylyp s Named Clefs 172

Table 447 lilylyp s Named Noteheads 173

Table 448 lilylyp s Named Accordion Symbols 178

Table 449 lilylyp s Named Accidentals 178

Table 450 lilylyp s Named Arrowheads 179

Table 451 lilylyp s Named Alphanumerics and Punctuation 179

Table 452 Miscellaneous lilylyp s Named Musical Symbols 180

8 Other symbols 181Table 453 textcomp Genealogical Symbols 181Table 454 wasysym General Symbols 181Table 455 manfnt Dangerous Bend Symbols 181Table 456 Miscellaneous manfnt Symbols 181Table 457 marvosym Media Control Symbols 182Table 458 marvosym Laundry Symbols 182Table 459 marvosym Information Symbols 182Table 460 Other marvosym Symbols 182Table 461 Miscellaneous universa Symbols 182Table 462 Miscellaneous fourier Symbols 182Table 463 ifsym Weather Symbols 183Table 464 ifsym Alpine Symbols 183Table 465 ifsym Clocks 183Table 466 Other ifsym Symbols 183Table 467 clock Clocks 184Table 468 epsdice Dice 184Table 469 hhcount Dice 184Table 470 stix Dice 184Table 471 bullcntr Tally Markers 185Table 472 hhcount Tally Markers 185Table 473 dozenal Tally Markers 185Table 474 skull Symbols 186Table 475 Non-Mathematical mathabx Symbols 186Table 476 skak Chess Informator Symbols 186Table 477 skak Chess Pieces and Chessboard Squares 187Table 478 igo Go Symbols 187Table 479 go Go Symbols 188Table 480 metre Metrical Symbols 188Table 481 metre Small and Large Metrical Symbols 188Table 482 teubner Metrical Symbols 189Table 483 dictsym Dictionary Symbols 189Table 484 simpsons Characters from The Simpsons 189Table 485 pmboxdraw Box-Drawing Symbols 190Table 486 staves Magical Staves 190Table 487 pigpen Cipher Symbols 191Table 488 ChinA2e Phases of the Moon 191Table 489 ChinA2e Recycling Symbols 192Table 490 marvosym Recycling Symbols 192

10

Table 491 recycle Recycling Symbols 192Table 492 Other ChinA2e Symbols 192Table 493 soyombo Soyombo Symbols 193Table 494 knitting Knitting Symbols 193Table 495 CountriesOfEurope Country Maps 194Table 496 Miscellaneous arev Symbols 196Table 497 cookingsymbols Cooking Symbols 196Table 498 tikzsymbols Cooking Symbols 196Table 499 tikzsymbols Emoticons 196Table 500 tikzsymbols 3D Emoticons 197Table 501 tikzsymbols Trees 197Table 502 Miscellaneous tikzsymbols Symbols 197Table 503 Miscellaneous bclogo Symbols 197Table 504 fontawesome Web-Related Icons 199Table 505 rubikcube Rubikrsquos Cube Rotations 203

9 Fonts with minimal LATEX support 204Table 506 hands Fists 204Table 507 greenpoint Recycling Symbols 204Table 508 nkarta Map Symbols 204Table 509 moonphase Astronomical Symbols 206Table 510 astrosym Astronomical Symbols 206Table 511 webomints Decorative Borders 209Table 512 umranda Decorative Borders 210Table 513 umrandb Decorative Borders 211Table 514 dingbat Decorative Borders 213Table 515 knot Celtic Knots 213Table 516 dancers Dancing Men 217Table 517 semaphor Semaphore Alphabet 220Table 518 cryst Crystallography Symbols 222Table 519 dice Dice 223Table 520 magic Trading Card Symbols 224Table 521 bartel-chess-fonts Chess Pieces and Chessboard Squares 224

10 Additional Information 226101 Symbol Name Clashes 226102 Resizing symbols 226103 Where can I find the symbol for 229104 Math-mode spacing 239105 Bold mathematical symbols 240106 ASCII and Latin 1 quick reference 240107 Unicode characters 244108 About this document 246109 Copyright and license 248

References 249

Index 250

11

1 Introduction

Welcome to the Comprehensive LATEX Symbol List This document strives to be your primary source ofLATEX symbol information font samples LATEX commands packages usage details caveatsmdasheverythingneeded to put thousands of different symbols at your disposal All of the fonts covered herein meet thefollowing criteria

1 They are freely available from the Comprehensive TEX Archive Network (httpwwwctanorg)

2 All of their symbols have LATEX 2120576 bindings That is a user should be able to access a symbol by name(eg bigtriangleup)

As of version 12 of the Comprehensive LATEX Symbol List that second restriction has been relaxed with theinclusion of Section 9 which showcases fonts that provide at a minimum either TEX font-metric files (tfm)or the METAFONT sources (mf) that produce those font-metric files Some of the Section 9 fonts do includeLATEX font-definition files (fd) However what sets the fonts in Section 9 apart from the fonts in rest ofthe document is that they lack a LATEX style file (sty) that individually names each of the glyphs

The restrictions listed above are not particularly limiting criteria the Comprehensive LATEX Symbol Listcontains samples of 14283 symbolsmdashquite a large number Some of these symbols are guaranteed to beavailable in every LATEX 2120576 system others require fonts and packages that may not accompany a given distri-bution and that therefore need to be installed See httpwwwtexacukcgi-bintexfaq2htmllabel=instpackages+wherefiles for help with installing new fonts and packages

11 Document Usage

Each section of this document contains a number of font tables Each table shows a set of symbols with thecorresponding LATEX command to the right of each symbol A tablersquos caption indicates what package needs tobe loaded in order to access that tablersquos symbols For example the symbols in Table 45 ldquotextcomp Old-StyleNumeralsrdquo are made available by putting ldquousepackagetextcomprdquo in your documentrsquos preamble ldquo119964ℳ119982rdquomeans to use the 119964ℳ119982 packages viz amssymb andor amsmath Notes below a table provide additionalinformation about some or all the symbols in that table

One note that appears a few times in this document particularly in Section 2 indicates that certainsymbols do not exist in the OT1 font encoding (Donald Knuthrsquos original 7-bit font encoding which is thedefault font encoding for LATEX) and that you should use fontenc to select a different encoding such as T1(a common 8-bit font encoding) That means that you should put ldquousepackage[⟨encoding⟩]fontencrdquoin your documentrsquos preamble where ⟨encoding⟩ is eg T1 or LY1 To limit the change in font encoding tothe current group use ldquofontencoding⟨encoding⟩selectfontrdquo

Section 10 contains some additional information about the symbols in this document It discusses howcertain mathematical symbols can vary in height shows which symbol names are not unique across packagesgives examples of how to create new symbols out of existing symbols explains how symbols are spaced inmath mode compares various schemes for boldfacing symbols presents LATEX ASCII and Latin 1 tablesshows how to input and output Unicode characters and provides some information about this documentitself The Comprehensive LATEX Symbol List ends with an index of all the symbols in the document andvarious additional useful terms

12 Frequently Requested Symbols

There are a number of symbols that are requested over and over again on comptexttex If yoursquore lookingfor such a symbol the following list will help you find it quickly

as in ldquoSpaces are significantrdquo 14

ı ı ı ı ı etc (versus i i i i and i) 21

cent 26

e 26

copy reg and trade 27

permil 28 44

there4 52

12

B and F 53

and amp 67

120

deg as in ldquo180degrdquo or ldquo15rdquo 126

ℒ ℱ etc 128

N Z R etc 128

r 128

minusint

232

acutea è etc (ie several accents per character) 234

lt gt and | (instead of iexcl iquest and mdash) 242

^ and ˜ (or sim) 242

13

2 Body-text symbols

This section lists symbols that are intended for use in running text such as punctuation marks accentsligatures and currency symbols

Table 1 LATEX 2120576 Escapable ldquoSpecialrdquo Characters

$ $ _ amp amp

The underscore package redefines ldquo_rdquo to produce an underscore in text mode(ie it makes it unnecessary to escape the underscore character)

Table 2 Predefined LATEX 2120576 Text-mode Commands

^ textasciicircum lt textless

˜ textasciitilde a ordf textordfeminine

lowast textasteriskcentered o ordm textordmasculine

∖ textbackslash para para textparagraphdagger

| textbar middot middot textperiodcentered

textbardbl textpertenthousand

textbigcircle permil textperthousand

textbraceleftdagger iquest textquestiondown

textbracerightdagger ldquo textquotedblleft

∙ bull textbullet rdquo textquotedblright

c copy textcopyrightdagger lsquo textquoteleft

dagger dagger textdaggerdagger rsquo textquoteright

Dagger Dagger textdaggerdbldagger r reg textregistered

$ $ textdollardagger S sect textsectiondagger

textellipsisdagger $ $ textsterlingdagger

mdash textemdash TM trade texttrademark

ndash textendash textunderscoredagger

iexcl textexclamdown textvisiblespace

gt textgreater

The first symbol column represents themdashsometimes ldquofakedrdquomdashsymbol thatLATEX 2120576 provides by default The second symbol column represents the sym-bol as redefined by textcomp (if textcomp redefines it) The textcomp packageis generally required to typeset Table 2rsquos symbols in italic and some symbolsadditionally require the T1 font encoding for italic

^ and ~ can be used instead of textasciicircum and textasciitildeSee the discussion of ldquo˜rdquo on page 242

dagger Itrsquos generally preferable to use the corresponding symbol from Table 3 on thefollowing page because the symbols in that table work properly in both textmode and math mode

14

Table 3 LATEX 2120576 Commands Defined to Work in Both Math and Text Mode

_ Dagger Dagger ddag $ pounds

c copy copyright dots S sect S

$ $ $ dagger dagger dag para para P


Table 4 119964ℳ119982 Commands Defined to Work in Both Math and Text Mode

X checkmark r circledR z maltese

Table 5 Non-ASCII Letters (Excluding Accented Letters)

a aa ETH DH L L oslash o thorn th

A AA ETH DJ l l œ oe THORN TH

AElig AE đ dj Ŋ NG Œ OE

aelig ae IJ IJ ŋ ng szlig ss

eth dh ij ij Oslash O SS SS

Not available in the OT1 font encoding Use the fontenc package to select analternate font encoding such as T1

15

Table 6 textgreek Upright Greek Letters

α textalpha η texteta ν textnu τ texttau

β textbeta θ texttheta ξ textxi υ textupsilon

γ textgamma ι textiota ο textomikron φ textphi

δ textdelta κ textkappa π textpi χ textchi

ε textepsilon λ textlambda ρ textrho ψ textpsi

ζ textzeta μ textmu σ textsigma ω textomega

Α textAlpha Η textEta Ν textNu Τ textTau

Β textBeta Θ textTheta Ξ textXi Υ textUpsilon

Γ textGamma Ι textIota Ο textOmikron Φ textPhi

Δ textDelta Κ textKappa Π textPi Χ textChi

Ε textEpsilon Λ textLambda Ρ textRho Ψ textPsi

Ζ textZeta Μ textMu Σ textSigma Ω textOmega

Synonyms for textmu include textmicro and textmugreek

textgreek tries to use a Greek font that matches the body text As a result theglyphs may appear slightly different from the above

Unlike upgreek (Table 187 on page 98) textgreek works in text mode

The symbols in this table are intended to be used sporadically throughout adocument (eg in phrases such as ldquoβ-decayrdquo) In contrast Greek body text canbe typeset using the babel packagersquos greek (or polutonikogreek) optionmdashand ofcourse a font that provides the glyphs for the Greek alphabet

Table 7 Letters Used to Typeset African Languages

ETH BD deg mc curren mf uml mk raquo Mt mZ

Bd mD mF mN MT Acirc TE

BH eth Md mG shy mn ordm mt acirc Te

sect Bh ETH MD brvbar mg ordf mo mT Aring TO

middot Bt iexcl md Agrave mI mO reg mu aring To

BT mE agrave mi mP mU

mb cent me mJ plusmn mp mY

mB ME copy mj not ms macr my

mC pound Me mK mS para mz

These characters all need the T4 font encoding which is provided by the fcpackage

mv and mV are synonyms for mu and mU

Table 8 Letters Used to Typeset Vietnamese

Ơ OHORN ơ ohorn Ư UHORN ư uhorn

These characters all need the T5 font encoding which is provided by the vntexpackage

16

Table 9 Punctuation Marks Not Found in OT1

laquo guillemotleft lsaquo guilsinglleft bdquo quotedblbase textquotedbl

raquo guillemotright rsaquo guilsinglright sbquo quotesinglbase

To get these symbols use the fontenc package to select an alternate font encodingsuch as T1

Table 10 pifont Decorative Punctuation Marks

ding123 ding125 iexcl ding161 pound ding163

| ding124 ~ ding126 cent ding162

Table 11 tipa Phonetic Symbols

Egrave textbabygamma P textglotstop iuml textrtailn

b textbarb texthalflength oacute textrtailr

c textbarc ż texthardsign ugrave textrtails

d textbard texthooktop uacute textrtailt

eacute textbardotlessj aacute texthtb uuml textrtailz

g textbarg ecirc texthtbardotlessj $ textrthook

Uuml textbarglotstop Aacute texthtc Agrave textsca

1 textbari acirc texthtd agrave textscb

ł textbarl auml texthtg ď textsce

8 textbaro H texthth aring textscg

Yacute textbarrevglotstop Ecirc texththeng Euml textsch

0 textbaru Icirc texthtk textschwa

igrave textbeltl Ograve texthtp I textsci

β textbeta Oacute texthtq ĺ textscj

ograve textbullseye č texthtrtaild Iuml textscl

textceltpal Eacute texthtscg eth textscn

χ textchi Ouml texthtt Œ textscoelig

Aring textcloseepsilon szlig texthvlig ś textscomega

Ntilde textcloseomega Ucirc textinvglotstop ouml textscr

AElig textcloserevepsilon K textinvscr A textscripta

THORN textcommatailz ι textiota g textscriptg

^ textcorner λ textlambda V textscriptv

ă textcrb textlengthmark Uacute textscu

ą textcrd ş textlhookt Y textscy

g textcrg ę textlhtlongi shy textsecstress

egrave textcrh ű textlhtlongy ž textsoftsign

Ucirc textcrinvglotstop Ocirc textlonglegr Acirc textstretchc

ň textcrlambda iexcl textlptr tC texttctclig

2 textcrtwo M textltailm Ugrave textteshlig

C textctc ntilde textltailn θ texttheta

(continued on next page)

17

(continued from previous page)

ć textctd euml textltilde thorn textthorn

ćyacute textctdctzlig ETH textlyoghlig pound texttoneletterstem

š textctesh Iacute textObardotlessj ţ texttslig

J textctj ŋ textOlyoghlig 5 textturna

ő textctn ω textomega ŕ textturncelig

ť textctt _ textopencorner 4 textturnh

ťC textcttctclig O textopeno ľ textturnk

yuml textctyogh textpalhook Otilde textturnlonglegr

yacute textctz φ textphi W textturnm

dyacute textdctzlig | textpipe icirc textturnmrleg

S textdoublebaresh textprimstress ocirc textturnr

textdoublebarpipe ĳ textraiseglotstop otilde textturnrrtail

= textdoublebarslash ğ textraisevibyi 6 textturnscripta

textdoublepipe 7 textramshorns Oslash textturnt

Ş textdoublevertline textrevapostrophe 2 textturnv

Ť textdownstep 9 textreve ucirc textturnw

Atilde textdyoghlig 3 textrevepsilon L textturny

dz textdzlig Q textrevglotstop υ textupsilon

ε textepsilon ź textrevyogh Ţ textupstep

S textesh Ccedil textrhookrevepsilon Š textvertline

R textfishhookr Auml textrhookschwa ğ textvibyi

ě textg ~ textrhoticity ů textvibyy

γ textgamma iquest textrptr szlig textwynn

Ů textglobfall atilde textrtaild Z textyogh

Ű textglobrise iacute textrtaill

tipa defines shortcut characters for many of the above It also defines a commandtone for denoting tone letters (pitches) See the tipa documentation for moreinformation

Table 12 tipx Phonetic Symbols

textaolig 3 texthtbardotlessjvar acute textrthooklong

B textbenttailyogh textinvomega q textscaolig

textbktailgamma p textinvsca r textscdelta

D textctinvglotstop textinvscripta s textscf

2 textctjvar I textlfishhookrlig t textsck

textctstretchc textlhookfour w textscm

amp textctstretchcvar lt textlhookp x textscp

textctturnt 1 textlhti y textscq

) textdblig gt textlooptoprevesh ˝ textspleftarrow

H textdoublebarpipevar 6 textnrleg $ textstretchcvar

G textdoublepipevar 9 textObullseye ˙ textsubdoublearrow


18


ˇ textdownfullarrow ˆ textpalhooklong macr textsubrightarrow

7 textfemale ˜ textpalhookvar P textthornvari

5 textfrbarn F textpipevar Q textthornvarii

rsquo textfrhookd = textqplig R textthornvariii

( textfrhookdvar uml textrectangle S textthornvariv

textfrhookt ˚ textretractingvar E textturnglotstop

- textfrtailgamma v textrevscl u textturnsck

T textglotstopvari z textrevscr textturnscu

U textglotstopvarii textrhooka C textturnthree

V textglotstopvariii textrhooke A textturntwo

textgrgamma + textrhookepsilon 8 textuncrfemale

0 textheng textrhookopeno ˘ textupfullarrow

4 texthmlig textrtailhth

Table 13 wsuipa Phonetic Symbols

babygamma 8 eng 4 labdentalnas schwa

barb er latfric sci

bard M esh 6 legm scn

bari eth E legr J scr

barl D flapr 1 lz scripta

lt baro b glotstop nialpha scriptg

A barp hookb nibeta Y scriptv

+ barsci hookd [ nichi W scu

X barscu hookg niepsilon ] scy

T baru $ hookh nigamma slashb

clickb hookheng ) niiota slashc

clickc hookrevepsilon 2 nilambda slashd

R clickt hv gt niomega U slashu

closedniomega inva C niphi taild

closedrevepsilon invf O nisigma H tailinvr

crossb d invglotstop S nitheta 0 taill

13 crossd amp invh V niupsilon 9 tailn

crossh I invlegr 7 nj F tailr

3 crossnilambda 5 invm oo L tails

curlyc G invr = openo P tailt

N curlyesh K invscr reve _ tailz

a curlyyogh invscripta f reveject Q tesh

^ curlyz invv revepsilon B thorn

( dlbari Z invw c revglotstop - tildel

dz invy scd ` yogh

e ejective ipagamma scg

19

Table 14 wasysym Phonetic Symbols

D DH k dh l openo

THORN Thorn U inve thorn thorn

Table 15 phonetic Phonetic Symbols

j barj f flap i ibar A rotvara i vari

barlambda glottal c openo w rotw varomega

M emgma B hausaB h planck y roty C varopeno

n engma b hausab U pwedge e schwa v˚

vod

N enya D hausad revD p thorn h voicedh

epsi T hausaD riota u ubar x yogh

s esh k hausak m rotm u udesc

d eth K hausaK rotOmega a vara

F fj D hookd r rotr G varg

Table 16 t4phonet Phonetic Symbols

textcrd iexcl texthtd | textpipe

sect textcrh uml texthtk eth textrtaild

cent textepsilon plusmn texthtp raquo textrtailt

not textesh ordm texthtt iexcl textschwa

textfjlig agrave textiota not textscriptv

texthtb copy textltailn textteshlig

deg texthtc ordf textopeno para textyogh

The idea behind the t4phonet packagersquos phonetic symbols is to provide an interfaceto some of the characters in the T4 font encoding (Table 7 on page 16) but usingthe same names as the tipa characters presented in Table 11 on page 17

Table 17 semtrans Transliteration Symbols

˒ Alif ˓ Ayn

20

Table 18 Text-mode Accents

Aa Aa iquestAiquesta |A|aDagger Aa fAfapara A a tAta

Aa rsquoArsquoa Aa ~A~a Aa GAGaDagger Aa uAua

Aa Aa Amacr

amacr

bAba Ảả hAhaS frac14Afrac14a UAUaDagger

Aa =A=a Aa cAca Aa HAHa Aa UAUapara

Aa Ââ Aa CACapara Ąą kAkadagger Aa vAva

Aa lsquoAlsquoa A a dAda Aa rAra

Aa newtieAnewtiea A a textcircledAtextcircleda

Requires the textcomp package

dagger Not available in the OT1 font encoding Use the fontenc package to select analternate font encoding such as T1

Dagger Requires the T4 font encoding provided by the fc package

S Requires the T5 font encoding provided by the vntex package

para Requires one of the Cyrillic font encodings (T2A T2B T2C or X2) Use thefontenc package to select an encoding

Also note the existence of i and j which produce dotless versions of ldquoirdquo andldquojrdquo (viz ldquoırdquo and ldquoȷrdquo) These are useful when the accent is supposed to replace thedot in encodings that need to composite (ie combine) letters and accents Forexample ldquonaiverdquo always produces a correct ldquonaıverdquo while ldquonaiverdquoyields the rather odd-looking ldquonaiverdquo when using the OT1 font encoding and olderversions of LATEX Font encodings other than OT1 and newer versions of LATEXproperly typeset ldquonaiverdquo as ldquonaıverdquo

Table 19 tipa Text-mode Accents

acuteAacutea textacutemacronAtextacutemacronaacuteAacutea textacutewedgeAtextacutewedgea

Affi affi textadvancingAtextadvancinga

Altalt textbottomtiebarAtextbottomtiebara˘A˘a textbrevemacronAtextbrevemacrona

ŻAŻa textcircumacuteAtextcircumacuteaÂâ textcircumdotAtextcircumdota

sectAsecta textdotacuteAtextdotacutea˙A ˙a textdotbreveAtextdotbrevea

sbquoAsbquoa textdoublegraveAtextdoublegravea

İAİa textdoublevbaraccentAtextdoublevbaraccenta


21


ŻAŻa textfallriseAtextfallrisea

ŽAŽa textgravecircumAtextgravecircuma

đAđa textgravedotAtextgravedota

Àà textgravemacronAtextgravemacrona

ŹAŹa textgravemidAtextgravemida

ŸAŸa texthighriseAtexthighrisea

Abdquoabdquo textinvsubbridgeAtextinvsubbridgea

Afl afl textloweringAtextloweringa

ŹAŹa textlowriseAtextlowrisea

ŸAŸa textmidacuteAtextmidacutea

permilApermila textovercrossAtextovercrossamdashA

mdasha textoverwAtextoverwa

Aa textpolhookAtextpolhooka

Afi afi textraisingAtextraisinga

Affl affl textretractingAtextretractinga˚Aa textringmacronAtextringmacrona

ŽAŽa textrisefallAtextrisefalla

ldquoAldquoa textroundcapAtextroundcapa

Aa textseagullAtextseagulla

Arsaquo

arsaquo

textsubacuteAtextsubacutea

Aldquo

aldquo

textsubarchAtextsubarcha

Amacr

amacr

textsubbarAtextsubbara

Ardquoardquo textsubbridgeAtextsubbridgea

Aˆ

aˆ

textsubcircumAtextsubcircuma

A˙a˙

textsubdotAtextsubdota

Alsaquo

alsaquo

textsubgraveAtextsubgravea

Andash andash textsublhalfringAtextsublhalfringa

Aff aff textsubplusAtextsubplusa

Araquo araquo textsubrhalfringAtextsubrhalfringa

A˚

a˚

textsubringAtextsubringa

Alaquoalaquo textsubsquareAtextsubsquarea

A˜

a˜

textsubtildeAtextsubtildea

Auml

auml

textsubumlautAtextsubumlauta

Amdashamdash textsubwAtextsubwa

Aˇ

aˇ

textsubwedgeAtextsubwedgea

Aampaamp textsuperimposetildeAtextsuperimposetildea

Aa

textsyllabicAtextsyllabicaÃã texttildedotAtexttildedotagtAgta texttoptiebarAtexttoptiebara


22


ĲAĲa textvbaraccentAtextvbaraccenta

tipa defines shortcut sequences for many of the above See the tipa documentationfor more information

Table 20 extraipa Text-mode Accents

rdquoArdquo

rdquoardquo bibridgeAbibridgea Andash raquoandash raquo partvoicelessApartvoicelessa

ŔA

Ŕa crtildeAcrtildea Aa slidingAslidinga

Aa dottedtildeAdottedtildea Aa spreadlipsAspreadlipsaÃã doubletildeAdoubletildea A

â^

subcornerAsubcornera

Araquoaraquo finpartvoiceAfinpartvoicea Amacr

amacr

subdoublebarAsubdoublebara

Araquoaraquo finpartvoicelessAfinpartvoicelessa A

a

subdoublevertAsubdoubleverta

Andash andash inipartvoiceAinipartvoicea Aiexclaiexcl

sublptrAsublptra

Andash andash inipartvoicelessAinipartvoicelessa Aiquestaiquest

subrptrAsubrptrardquoA

rdquoa overbridgeAoverbridgea A

ŢaŢ

whistleAwhistlea

Andash raquoandash raquo partvoiceApartvoicea

Table 21 wsuipa Text-mode Accents

Ag ag dentalAdentala

Aa underarchAunderarcha

Table 22 phonetic Text-mode Accents

Aa

hillAhilla Aa rcArca A˜

a˜

utAuta

A˚

a˚

odAoda Aa sylAsylaA a ohillAohilla Aa tdAtda

The phonetic package provides a few additional macros for linguistic accents

acbar and acarc compose characters with multiple accents for example

acbarrsquoa produces ldquoacuteardquo and acarce produces ldquoerdquo labvel joins

two characters with an arc labvelmn rarr ldquomnrdquo upbar is intended to go

between characters as in ldquoxupbaryrsquorsquo rarr ldquox yrdquo Lastly uplett behaves like

textsuperscript but uses a smaller font Contrast ldquopupletthrsquorsquo rarr ldquophrdquo

with ldquoptextsuperscripthrsquorsquo rarr ldquophrdquo

23

Table 23 metre Text-mode Accents

Aa acutusAacutusa

Aa breveAbrevea

Aa circumflexusAcircumflexusa

Aa diaeresisAdiaeresisa

Aa gravisAgravisa

Aa macronAmacrona

Table 24 t4phonet Text-mode Accents

Aa textdoublegraveAtextdoublegravea

iquestAiquesta textvbaraccentAtextvbaraccenta

frac14Afrac14a textdoublevbaraccentAtextdoublevbaraccenta

The idea behind the t4phonet packagersquos text-mode accents is to provide an in-terface to some of the accents in the T4 font encoding (accents marked with ldquoDaggerrdquoin Table 18 on page 21) but using the same names as the tipa accents presentedin Table 19 on page 21

Table 25 arcs Text-mode Accents

A

a overarcAoverarca A

a

underarcAunderarca

The accents shown above scale only to a few characters wide An optional macroargument alters the effective width of the accented characters See the arcs doc-umentation for more information

At the time of this writing (20151112) there exists an incompatibility be-tween the arcs package and the relsize package upon which arcs depends Asa workaround one should apply the patch proposed by Michael Sharpe on theX ETEX mailing list (Subject ldquoThe arcs packagerdquo dated 20130825) to preventspurious text from being added to the document (as in ldquo50ptA

rdquo when ldquoA

rdquo is

expected)

Table 26 semtrans Accents

Auml

auml

DADa A˘

a˘

UAUa

Aa TATa

T is not actually an accent but a command that rotates its argument 180deg usingthe graphicx packagersquos rotatebox command

Table 27 ogonek Accents

A˓a˓ kAka

24

Table 28 combelow Accents

A a cbAcba

cb places a comma above letters with descenders Hence while ldquocbsrdquo pro-duces ldquosrdquo ldquocbgrdquo produces ldquoglsquordquo

Table 29 wsuipa Diacritics

s ain v leftp x overring h stress underwedge

k corner n leftt ~ polishhook j syllabic t upp

u downp q length w rightp r underdots l upt

m downt midtilde o rightt y underring

p halflength z open i secstress | undertilde

The wsuipa package defines all of the above as ordinary characters not as accentsHowever it does provide diatop and diaunder commands which are used tocompose diacritics with other characters For example diatop[overring|a]produces ldquoxardquo and diaunder[underdots|a] produces ldquorardquo See the wsuipadocumentation for more information

Table 30 textcomp Diacritics

˝ textacutedbl ˇ textasciicaron macr textasciimacron

acute textasciiacute uml textasciidieresis textgravedbl

˘ textasciibreve ` textasciigrave

The textcomp package defines all of the above as ordinary characters not asaccents You can use llap or rlap to combine them with other characters Seethe discussion of llap and rlap on page 233 for more information

Table 31 marvosym Diacritics

p arrowOver g barOver _ StrikingThrough

P ArrowOver G BarOver

The marvosym package defines all of the above as ordinary characters not asaccents You can use llap or rlap to combine them with other characters Seethe discussion of llap and rlap on page 233 for more information

25

Table 32 textcomp Currency Symbols

฿ textbaht $ textdollar textguarani ₩ textwon

cent textcent textdollaroldstyle ₤ textlira yen textyen

textcentoldstyle ₫ textdong ₦ textnaira

₡ textcolonmonetary euro texteuro textpeso

curren textcurrency ƒ textflorin $ textsterling

Itrsquos generally preferable to use the corresponding symbol from Table 3 on page 15because the symbols in that table work properly in both text mode and mathmode

Table 33 marvosym Currency Symbols

cent Denarius d EURcr e EURtm pound Pfund

Ecommerce D EURdig brvbar EyesDollar iexcl Shilling

e EUR c EURhv iacute Florin

The different euro signs are meant to be visually compatible with different fontsmdashCourier (EURcr) Helvetica (EURhv) Times Roman (EURtm) and the marvosymdigits listed in Table 282 (EURdig) The mathdesign package redefines texteuroto be visually compatible with one of three additional fonts Utopia (euro) Char-ter (euro) or Garamond (euro)

Table 34 fontawesome Currency Symbols

faBtc j faIls brvbar faKrw f faUsd

S faEur faInr ugrave faRub faViacoin

faGbp pound faJpy 13 faTry

fontawesome defines faBitcoin as a synonym for faBtc faCny faYen andfaRmb as synonyms for faJpy faDollar as a synonym for faUsd faEuroas a synonym for faEur faRouble and faRuble as synonyms for faRubfaRupee as a synonym for faInr faShekel and faSheqel as synonyms forfaIls faTurkishLira as a synonym for faTry and faWon as a synonymfor faKrw

Table 35 wasysym Currency Symbols

cent cent curren currency

Table 36 ChinA2e Currency Symbols

yuml Euro thorn Pound

26

Table 37 teubner Currency Symbols

Ε denarius Α hemiobelion Β tetartemorion

Δ dracma ῝ stater

Table 38 tfrupee Currency Symbols

| rupee

Table 39 eurosym Euro Signs

AC geneuro BC geneuronarrow CC geneurowide e officialeuro

euro is automatically mapped to one of the abovemdashby defaultofficialeuromdashbased on a eurosym package option See the eurosymdocumentation for more information The geneuro characters are generatedfrom the current body fontrsquos ldquoCrdquo character and therefore may not appear exactlyas shown

Table 40 fourier Euro Signs

( eurologo euro texteuro

Table 41 textcomp Legal Symbols

textcircledP c copy textcopyright textservicemark

laquo textcopyleft r reg textregistered TM trade texttrademark

The first symbol column represents themdashsometimes ldquofakedrdquomdashsymbol thatLATEX 2120576 provides by default The second symbol column represents the symbolas redefined by textcomp The textcomp package is generally required to typesetTable 41rsquos symbols in italic

See httpwwwtexacukcgi-bintexfaq2htmllabel=tradesyms for so-lutions to common problems that occur when using these symbols (eg gettinga ldquo rrdquo when you expected to get a ldquoregrdquo)

Table 42 fontawesome Legal Symbols

Z faCopyright sup2 faRegistered

sup3 faCreativeCommons plusmn faTrademark

27

Table 43 cclicenses Creative Commons License Icons

CC cc $∖ ccnc

C ccsa

BY ccby = ccnd

These symbols utilize the rotating package and therefore display improperly insome DVI viewers

Table 44 ccicons Creative Commons License Icons

b ccAttribution e ccNonCommercialEU s ccShare

copy ccCopy y ccNonCommercialJP a ccShareAlike

c ccLogo p ccPublicDomain z ccZero

d ccNoDerivatives r ccRemix

n ccNonCommercial m ccSampling

ccicons additionally defines a set of commands for typesetting many completeCreative Commons licenses (ie juxtapositions of two or more of the preced-ing icons) For example the ccbyncnd command typesets the ldquoAttributionndashNoncommercialndashNo Derivative Worksrdquo license (ldquocbndrdquo) See the ccicons doc-umentation for more information

Table 45 textcomp Old-style Numerals

textzerooldstyle textfouroldstyle texteightoldstyle

textoneoldstyle textfiveoldstyle textnineoldstyle

texttwooldstyle textsixoldstyle

textthreeoldstyle textsevenoldstyle

Rather than use the bulky textoneoldstyle texttwooldstyle etc com-mands shown above consider using oldstylenums to typeset an old-stylenumber

Table 46 Miscellaneous textcomp Symbols

textblank para textpilcrow

brvbar textbrokenbar textquotesingle

- textdblhyphen sbquo textquotestraightbase

textdblhyphenchar bdquo textquotestraightdblbase

textdiscount textrecipe

textestimated textreferencemark

textinterrobang textthreequartersemdash

textinterrobangdown ~ texttildelow

textnumero texttwelveudash

textopenbullet

Table 47 Miscellaneous wasysym Text-mode Symbols

h permil

28

29

3 Mathematical symbols

Most but not all of the symbols in this section are math-mode only That is they yield a ldquoMissing $

insertedrdquo error message if not used within $ $ [ ] or another math-mode environment Operatorsmarked as ldquovariable-sizedrdquo are taller in displayed formulas shorter in in-text formulas and possibly shorterstill when used in various levels of superscripts or subscripts

Alphanumeric symbols (eg ldquoℒ rdquo and ldquordquo) are usually produced using one of the math alphabets inTable 307 rather than with an explicit symbol command Look there first if you need a symbol for atransform number set or some other alphanumeric

Although there have been many requests on comptexttex for a contradiction symbol the en-suing discussion invariably reveals innumerable ways to represent contradiction in a proof includ-ing ldquordquo (blitza) ldquorArrlArrrdquo (RightarrowLeftarrow) ldquoperprdquo (bot) ldquo=rdquo (nleftrightarrow) andldquordquo (textreferencemark) Because of the lack of notational consensus it is probably better to spellout ldquoContradictionrdquo than to use a symbol for this purpose Similarly discussions on comptexttex haverevealed that there are a variety of ways to indicate the mathematical notion of ldquois defined asrdquo Common

candidates include ldquordquo (triangleq) ldquoequivrdquo (equiv) ldquoBrdquo (various1) and ldquodef=rdquo (stackreltexttiny

def=) See also the example of equalsfill on page 235 Depending upon the context disjoint unionmay be represented as ldquo

∐rdquo (coprod) ldquo⊔rdquo (sqcup) ldquo middotcuprdquo (dotcup) ldquooplusrdquo (oplus) or any of a number of

other symbols2 Finally the average value of a variable 119909 is written by some people as ldquo119909rdquo (overlinex)by some people as ldquo⟨119909⟩rdquo (langle x rangle) and by some people as ldquo119909rdquo or ldquoempty119909rdquo (diameter x orvarnothing x) The moral of the story is that you should be careful always to explain your notation toavoid confusing your readers

Table 48 Math-Mode Versions of Text Symbols

$ mathdollar para mathparagraph $ mathsterling

mathellipsis S mathsection mathunderscore


Table 49 cmll Unary Operators

oc ˆ shneg wn

˜ shift acute shpos

oc and wn differ from ldquordquo and ldquordquo in terms of their math-mode spacing $A=B$produces ldquo119860 =119861rdquo for example while $A=oc B$ produces ldquo119860 = 119861rdquo

1In txfonts pxfonts and mathtools the symbol is called coloneqq In mathabx and MnSymbol itrsquos called coloneq Incolonequals itrsquos called colonequals

2Bob Tennent listed these and other disjoint-union symbol possibilities in a November 2007 post to comptexttex

30

Table 50 Binary Operators

⨿ amalg cup cup oplus oplus times times

ast dagger dagger ⊘ oslash ▷ triangleleft

bigcirc Dagger ddagger otimes otimes ◁ triangleright

bigtriangledown diamond plusmn pm E unlhd

bigtriangleup divide div B rhd D unrhd

∙ bullet C lhd ∖ setminus ⊎ uplus

cap cap ∓ mp ⊓ sqcap or vee

middot cdot ⊙ odot ⊔ sqcup and wedge

∘ circ ⊖ ominus ⋆ star ≀ wr

Not predefined by the LATEX 2120576 core Use the latexsym package to expose thissymbol

Table 51 119964ℳ119982 Binary Operators

Z barwedge circledcirc ᵀ intercal

boxdot circleddash h leftthreetimes

boxminus d Cup n ltimes

boxplus g curlyvee i rightthreetimes

boxtimes f curlywedge o rtimes

e Cap gt divideontimes r smallsetminus

centerdot u dotplus Y veebar

~ circledast [ doublebarwedge

Some people use a superscripted intercal for matrix transposeldquoAîntercalrdquo ↦rarr ldquo119860ᵀrdquo (See the May 2009 comptexttex thread ldquoraisingmath symbolsrdquo for suggestions about altering the height of the superscript)top (Table 199 on page 100) T and mathsfT are other popular choicesldquo119860⊤rdquo ldquo119860119879 rdquo ldquo119860Trdquo

31

Table 52 stmaryrd Binary Operators

baro 9 interleave varoast

13 bbslash 2 leftslice varobar

N binampersand merge varobslash

O bindnasrepma minuso varocircle

i boxast moo varodot

k boxbar ` nplus 5 varogreaterthan

boxbox obar 4 varolessthan

j boxbslash oblong varominus

boxcircle obslash varoplus

boxdot = ogreaterthan varoslash

boxempty lt olessthan varotimes

l boxslash gt ovee 6 varovee

curlyveedownarrow owedge 7 varowedge

curlyveeuparrow 3 rightslice vartimes

curlywedgedownarrow sslash Ydown

amp curlywedgeuparrow 8 talloblong Yleft

) fatbslash varbigcirc Yright

fatsemi varcurlyvee Yup

( fatslash varcurlywedge

Table 53 wasysym Binary Operators

C lhd ocircle RHD D unrhd

LHD B rhd E unlhd

Table 54 txfontspxfonts Binary Operators

V circledbar T circledwedge medcirc

W circledbslash M invamp sqcapplus

U circledvee medbullet | sqcupplus

32

Table 55 mathabx Binary Operators

˚ ast N curlywedge [ sqcap

˚ Asterisk ˜ divdot sqcup

X barwedge cedil divideontimes ^ sqdoublecap

lsaquo bigstar acute dotdiv _ sqdoublecup

rsaquo bigvarstar ` dotplus ˝ square

˛ blackdiamond ˆ dottimes ] squplus

X cap Z doublebarwedge uml udot

˘ circplus doublecap Z uplus

ˇ coasterisk ] doublecup rsaquo varstar

ˇ coAsterisk ˙ ltimes _ vee

˙ convolution macr pluscirc Y veebar

Y cup cedil rtimes [ veedoublebar

O curlyvee sbquo sqbullet ^ wedge

Many of the preceding glyphs go by multiple names centerdot is equivalent tosqbullet and ast is equivalent to asterisk produces the same glyph asast but as an ordinary symbol not a binary operator Similarly bigast pro-duces a large-operator version of the Asterisk binary operator and bigcoast

produces a large-operator version of the coAsterisk binary operator

Table 56 MnSymbol Binary Operators

∐ amalg ⩏ doublesqcup righttherefore

lowast ast ⩔ doublevee ⋌ rightthreetimes

backslashdiv ⩕ doublewedge ( rightY

amp bowtie ∵ downtherefore ⋊ rtimes

bullet + downY slashdiv

cap cap dtimes prod smallprod

⩀ capdot fivedots ⊓ sqcap

capplus hbipropto E sqcapdot

sdot cdot hdotdot G sqcapplus

circ lefthalfcap ⊔ sqcup

frac34 closedcurlyvee lefthalfcup D sqcupdot

frac14 closedcurlywedge lefttherefore F sqcupplus

cup cup ⋋ leftthreetimes ∷ squaredots

⊍ cupdot leftY times times

⊎ cupplus ⋉ ltimes udotdot

⋎ curlyvee ∖ medbackslash there4 uptherefore

5 curlyveedot medcircle ) upY

⋏ curlywedge ∕ medslash $ utimes

4 curlywedgedot ∣ medvert vbipropto

ddotdot medvertdot ∶ vdotdot

13 diamonddots minus minus or vee

divide div minusdot veedot


33


dotmedvert ∓ mp ⧖ vertbowtie

dotminus neswbipropto vertdiv

⋒ doublecap nwsebipropto and wedge

⋓ doublecup + plus wedgedot

7 doublecurlyvee plusmn pm ≀ wreath

6 doublecurlywedge righthalfcap

⩎ doublesqcap righthalfcup

MnSymbol defines setminus and smallsetminus as synonyms formedbackslash Join as a synonym for bowtie wr as a synonym forwreath shortmid as a synonym for medvert Cap as a synonym fordoublecap Cup as a synonym for doublecup and uplus as a synonym forcupplus

Table 57 fdsymbol Binary Operators

⨿ amalg ⩖ doublevee ⋊ rtimes

lowast ast ⩕ doublewedge setminus

⊼ barwedge downY ⊓ sqcap

cap cap ⨲ dtimes I sqcapdot

⩀ capdot hdotdot K sqcapplus

C capplus ⊺ intercal ⊔ sqcup

sdot cdot ⨼ intprod H sqcupdot

centerdot ⨽ intprodr J sqcupplus

cup cup ⋋ leftthreetimes times times

⊍ cupdot leftY ⨱ timesbar


⋎ curlyvee ∖ medbackslash ⧖ upbowtie

⋏ curlywedge ∕ medslash - upY

ddotdot minus minus ( utimes

divide div ⨪ minusdot ⨿ varamalg

⋇ divideontimes ⨫ minusfdots ∶ vdotdot

divslash ⨬ minusrdots ⋮ vdots

∸ dotminus ∓ mp or vee

∔ dotplus + plus ⊻ veebar

⨰ dottimes ⨥ plusdot ⟇ veedot

⩞ doublebarwedge plusmn pm ⩣ veedoublebar

⋒ doublecap ⟓ pullback and wedge

⋓ doublecup ⟔ pushout ⟑ wedgedot

⩎ doublesqcap ⋌ rightthreetimes ≀ wreath

⩏ doublesqcup rightY

34

fdsymbol defines btimes as a synonym for dtimes Cap as a synonym fordoublecap Cup as a synonym for doublecup hookupminus as a synonymfor intprodr hourglass as a synonym for upbowtie land as a synonym forwedge lor as a synonym for vee minushookup as a synonym for intprodsmalldivslash as a synonym for medslash smallsetminus as a synonym formedbackslash Sqcap as a synonym for doublesqcap Sqcup as a synonymfor doublesqcup ttimes as a synonym for utimes lJoin as a synonym forltimes rJoin as a synonym for rtimes Join and lrtimes as synonymsfor bowtie uplus as a synonym for cupplus veeonvee as a synonym fordoublevee wedgeonwedge as a synonym for doublewedge and wr as a syn-onym for wreath)

Table 58 boisik Binary Operators

ast dottimes ecirc rtimesblack

ccedil baro Ograve doublebarwedge Uacute smallsetminus

Ntilde barwedge yacute fatsemi ouml smashtimes

= bbslash Aring gtrdot iquest squplus

icirc binampersand thorn intercal lt sslash

iuml bindnasrepma THORN lbag z times

euml blackbowtie igrave lblackbowtie uplus

egrave bowtie ETH leftslice plusmn varcap

cap Oacute leftthreetimes deg varcup

Euml Cap Auml lessdot oacute varintercal

y cdot Ocirc ltimes sup3 varsqcap

icirc centerdot eacute ltimesblack sup2 varsqcup

circplus merge vartimes

` coAsterisk eacute minuso vee

convolution aelig moo ucirc Vee

cup yuml mp ETH veebar

Ecirc Cup frac34 nplus veeonvee

macr cupleftarrow egrave pluscirc wedge

Iuml curlyvee otilde plustrif uuml Wedge

Icirc curlywedge ~ pm Ocirc Ydown

ntilde dagger szlig rbag Ouml Yleft

ograve ddagger iacute rblackbowtie times Yright

| div Ntilde rightslice Otilde Yup

Atilde divideontimes Ocirc rightthreetimes

THORN dotplus Otilde rtimes

35

Table 59 stix Binary Operators

⨿ amalg ⨾ fcmp ⊔ sqcup

lowast ast frasl fracslash ⩏ Sqcup

⩃ barcap ⊺ intercal ⫽ sslash

⩂ barcup ⫴ interleave ⫶ threedotcolon

⊽ barvee ⨼ intprod times times

⊼ barwedge ⨽ intprodr ⨱ timesbar

⩗ bigslopedvee ∾ invlazys ⧿ tminus

⩘ bigslopedwedge ⋋ leftthreetimes ⧾ tplus

⨲ btimes ⊲ lhd ⧻ tripleplus

cap cap ⋉ ltimes ⫻ trslash

⋒ Cap ⩝ midbarvee ⩋ twocaps

⩉ capbarcup ⩜ midbarwedge ⩊ twocups

⩀ capdot ⨪ minusdot ⦂ typecolon

⩇ capovercup ⨫ minusfdots ⩁ uminus

⩄ capwedge ⨬ minusrdots ⊴ unlhd

⩍ closedvarcap ∓ mp ⊵ unrhd

⩌ closedvarcup ⫵ nhVvert ⅋ upand

⩐ closedvarcupsmashprod ⨭ opluslhrim ⊎ uplus

⨩ commaminus ⨮ oplusrhrim varbarwedge

cup cup ⨴ otimeslhrim vardoublebarwedge

⋓ Cup ⨵ otimesrhrim ⩡ varveebar

⩈ cupbarcap ⨥ plusdot ⨯ vectimes

⊍ cupdot ⩲ pluseqq ⩔ Vee

⊌ cupleftarrow ⨣ plushat or vee

⩆ cupovercap ⨦ plussim ⊻ veebar

⩅ cupvee ⨧ plussubtwo ⟇ veedot

⋎ curlyvee ⨨ plustrif ⩣ veedoublebar

⋏ curlywedge plusmn pm ⩛ veemidvert

dagger dagger ⊳ rhd ⩒ veeodot

Dagger ddagger ⋌ rightthreetimes ⩖ veeonvee

divide div ⨢ ringplus ⩓ Wedge

⋇ divideontimes ⧷ rsolbar and wedge

∸ dotminus ⋊ rtimes ⩟ wedgebar

∔ dotplus ⧵ setminus ⟑ wedgedot

⨰ dottimes ⧢ shuffle ⩠ wedgedoublebar

⩢ doublebarvee ⨤ simplus ⩚ wedgemidvert

⩞ doublebarwedge ∖ smallsetminus ⩑ wedgeodot

⧺ doubleplus ⨳ smashtimes ⩕ wedgeonwedge

⧶ dsol ⊓ sqcap ≀ wr

⩱ eqqplus ⩎ Sqcap

stix defines land as a synonym for wedge lor as a synonym for veedoublecap as a synonym for Cap and doublecup as a synonym for Cup

36

Table 60 mathdesign Binary Operators

_ dtimes ] udtimes ^ utimes

The mathdesign package additionally provides versions of each of the binary op-erators shown in Table 51 on page 31

Table 61 cmll Binary Operators

` parr amp withdagger

cmll defines invamp as a synonym for parr

dagger with differs from amp in terms of its math-mode spacing $A amp B$ producesldquo119860amp119861rdquo for example while $A with B$ produces ldquo119860amp119861rdquo

Table 62 shuffle Binary Operators

cshuffle shuffle

Table 63 ulsy Geometric Binary Operators

odplus

Table 64 mathabx Geometric Binary Operators

İ blacktriangledown i boxright a ominus

đ blacktriangleleft m boxslash lsquo oplus

sect blacktriangleright b boxtimes i oright

Ĳ blacktriangleup j boxtop m oslash

f boxasterisk o boxtriangleup b otimes

n boxbackslash l boxvoid j otop

k boxbot f oasterisk o otriangleup

e boxcirc n obackslash l ovoid

g boxcoasterisk k obot Ź smalltriangledown

c boxdiv e ocirc Ž smalltriangleleft

d boxdot g ocoasterisk Ż smalltriangleright

h boxleft c odiv Ÿ smalltriangleup

a boxminus d odot

lsquo boxplus h oleft

37

Table 65 MnSymbol Geometric Binary Operators

⧅ boxbackslash filledmedtriangledown ⊚ ocirc

⧈ boxbox filledmedtriangleleft ⊙ odot

⊡ boxdot filledmedtriangleright ⊖ ominus

⊟ boxminus filledmedtriangleup oplus oplus

⊞ boxplus ◾ filledsquare ⊘ oslash

⧄ boxslash filledstar ostar

⊠ boxtimes filledtriangledown otimes otimes

q boxvert filledtriangleleft d otriangle

diamondbackslash filledtriangleright ⦶ overt

diamonddiamond filledtriangleup pentagram

⟐ diamonddot meddiamond smalldiamond

x diamondminus ◻ medsquare ◽ smallsquare

| diamondplus medstar smallstar

z diamondslash medtriangledown smalltriangledown

diamondtimes ◁ medtriangleleft smalltriangleleft

y diamondvert ▷ medtriangleright smalltriangleright

Acirc downslice medtriangleup smalltriangleup

filleddiamond ⊛ oast ⋆ thinstar

∎ filledmedsquare ⦸ obackslash Agrave upslice

MnSymbol defines blacksquare as a synonym for filledmedsquare squareand Box as synonyms for medsquare diamond as a synonym forsmalldiamond Diamond as a synonym for meddiamond star as a synonymfor thinstar circledast as a synonym for oast circledcirc as a syn-onym for ocirc and circleddash as a synonym for ominus

Table 66 fdsymbol Geometric Binary Operators

⧅ boxbackslash medblacktriangledown oplus oplus

⧈ boxbox medblacktriangleleft ⊘ oslash

⊡ boxdot medblacktriangleright otimes otimes

⊟ boxminus medblacktriangleup ⦶ overt

⊞ boxplus medcircle bull smallblackcircle

⧄ boxslash meddiamond smallblackdiamond

⊠ boxtimes ∕ medslash smallblacksquare

boxvert medsquare ⋆ smallblackstar

diamondbackslash medtriangledown smallblacktriangledown

diamonddiamond ◁ medtriangleleft smallblacktriangleleft

⟐ diamonddot ▷ medtriangleright smallblacktriangleright

diamondminus medtriangleup smallblacktriangleup

diamondplus medwhitestar smallcircle

diamondslash ⊛ oast ⋄ smalldiamond

diamondtimes ⦸ obackslash smallsquare

diamondvert ⊚ ocirc smalltriangledown


38


medblackcircle ⊝ odash smalltriangleleft

medblackdiamond ⊙ odot smalltriangleright

medblacksquare ⊜ oequal smalltriangleup

medblackstar ⊖ ominus smallwhitestar

fdsymbol defines synonyms for most of the preceding symbols

blackdiamond ⋄ diamond bull smblkcircle

blacktriangle Diamond smblkdiamond

blacktriangledown diamondbslash smblksquare

blacktriangleleft ⟐ diamondcdot smwhitestar

blacktriangleright mdblkdiamond smwhtcircle

Box mdblksquare ⋄ smwhtdiamond

boxbar mdlgblkcircle smwhtsquare

⧅ boxbslash mdlgblkdiamond square

⧄ boxdiag mdlgblksquare ⋆ star

bull bullet mdlgwhtcircle triangle

circ mdlgwhtdiamond triangledown

⊛ circledast mdlgwhtsquare ◁ triangleleft

⊚ circledcirc mdwhtdiamond ▷ triangleright

⊝ circleddash mdwhtsquare vartriangle

⊜ circledequal medstar

⦶ circledvert ⦸ obslash

Table 67 boisik Geometric Binary Operators

atilde blacklozenge boxright oblong

iuml blacksquare cent boxslash obot

euml blacktriangle ograve boxtimes obslash

egrave blacktriangledown boxtop ogreaterthan

ecirc blacktriangleleft pound boxtriangle oleft

eacute blacktriangleright ouml circledast olessthan

curren boxast otilde circledcirc ominus

iexcl boxbar divide circleddash oplus

boxbot diamond oright

sect boxbox ordf diamondbar oslash

boxbslash reg diamondcircle otimes

yen boxcircle copy diamondminus otop

brvbar boxdivision uml diamondop otriangle

ocirc boxdot not diamondplus ovee

boxleft laquo diamondtimes owedge

ntilde boxminus shy diamondtriangle oslash star

eth boxplus obar talloblong

39

Table 68 stix Geometric Binary Operators

⧗ blackhourglass ⟢ concavediamondtickleft oplus oplus

⧆ boxast ⟣ concavediamondtickright ⊘ oslash

boxbar ⋄ diamond otimes otimes

⧈ boxbox ⩤ dsub ⨷ Otimes

⧅ boxbslash ⧖ hourglass ⨶ otimeshat

⧇ boxcircle ⟠ lozengeminus ⩥ rsub

⧄ boxdiag ⧫ mdlgblklozenge bull smblkcircle

⊡ boxdot mdlgwhtcircle ⋆ star

⊟ boxminus obar ⫾ talloblong

⊞ boxplus ⦺ obot triangle

⊠ boxtimes ⦸ obslash ⨺ triangleminus

⊛ circledast ⨸ odiv ⨹ triangleplus

⊚ circledcirc ⊙ odot ⧍ triangleserifs

⊝ circleddash ⦼ odotslashdot ⨻ triangletimes

⊜ circledequal ⧁ ogreaterthan ∙ vysmblkcircledagger

⦷ circledparallel ⦻ olcross ∘ vysmwhtcircle

⦶ circledvert ⧀ olessthan ⟤ whitesquaretickleft

⦵ circlehbar ⊖ ominus ⟥ whitesquaretickright

⟡ concavediamond ⦹ operp

Defined as an ordinary character not as a binary relation However these symbolsmore closely resemble the other symbols in this table than they do the geometricshapes presented in Table 381 which is why they are included here

dagger stix defines bullet as a synonym for vysmblkcircle

Table 69 halloweenmath Halloween-Themed Math Operators

bigpumpkinDagger mathrightghost reversemathcloud

mathcloud mathwitchdagger reversemathwitchdagger

mathghost mathwitchdagger reversemathwitchdagger

mathleftghost pumpkin

dagger These symbols accept limits For example mathwitch_i=0înfty f(x)

produces ldquoinfin119894=0 119891(119909)rdquo in text mode and

infin

119894=0

119891(119909)

in display mode

Dagger greatpumpkin is a synonym for bigpumpkin

40

Table 70 stix Small Integrals

⨑ smallawint ⨙ smallintcap ∮ smalloint

⨐ smallcirfnint ∱ smallintclockwise ∳ smallointctrclockwise

⨏ smallfint ⨚ smallintcup ⨕ smallpointint

⨌ smalliiiint ⨗ smallintlarhk ⨒ smallrppolint

∭ smalliiint ⨘ smallintx ⨓ smallscpolint

∬ smalliint ⨜ smalllowint ⨖ smallsqint

int smallint ⨔ smallnpolint ⨋ smallsumint

⨍ smallintbar ∰ smalloiiint ⨛ smallupint

⨎ smallintBar ∯ smalloiint ∲ smallvarointclockwise

By default each of the preceding commands points to a slanted version of theglyph as shown The upint package option typesets each integral instead asan upright version Slanted and upright integrals can be mixed however byexplicitly using the commands shown in Table 71

Table 71 stix Small Integrals with Explicit Slant

⨑ smallawintsl ⨑ smallawintup

⨐ smallcirfnintsl ⨐ smallcirfnintup

⨏ smallfintsl ⨏ smallfintup

⨌ smalliiiintsl ⨌ smalliiiintup

∭ smalliiintsl ∭ smalliiintup

∬ smalliintsl ∬ smalliintup

⨍ smallintbarsl ⨎ smallintBarup

⨎ smallintBarsl ⨍ smallintbarup

⨙ smallintcapsl ⨙ smallintcapup

∱ smallintclockwisesl ∱ smallintclockwiseup

⨚ smallintcupsl ⨚ smallintcupup

⨗ smallintlarhksl ⨗ smallintlarhkup

int smallintsl int smallintup

⨘ smallintxsl ⨘ smallintxup

⨜ smalllowintsl ⨜ smalllowintup

⨔ smallnpolintsl ⨔ smallnpolintup

∰ smalloiiintsl ∰ smalloiiintup

∯ smalloiintsl ∯ smalloiintup

∳ smallointctrclockwisesl ∳ smallointctrclockwiseup

∮ smallointsl ∮ smallointup

⨕ smallpointintsl ⨕ smallpointintup

⨒ smallrppolintsl ⨒ smallrppolintup

⨓ smallscpolintsl ⨓ smallscpolintup

⨖ smallsqintsl ⨖ smallsqintup

⨋ smallsumintsl ⨋ smallsumintup

⨛ smallupintsl ⨛ smallupintup

∲ smallvarointclockwisesl ∲ smallvarointclockwiseup

41

Instead of using the preceding symbols directly it is generally preferable to usethe symbols listed in Table 70 either with or without the upint package optionSpecifying upint selects each integralrsquos upright (up) variant while omitting upintselects each integralrsquos slanted (sl) variant Use the symbols shown in Table 71only when you need to include both upright and slanted variations of a symbolin the same document

Table 72 Variable-sized Math Operators⋂ ⋂bigcap

⨂⨂bigotimes

⋀ ⋀bigwedge

prod prodprod⋃ ⋃

bigcup⨆ ⨆

bigsqcup∐∐

coprodsumsum

sum⨀⨀bigodot

⨄ ⨄biguplus

int intint⨁⨁

bigoplus⋁ ⋁

bigvee∮ ∮

oint

Table 73 119964ℳ119982 Variable-sized Math Operators

intint intintiint

intintint intintintiiint

intintintint intintintintiiiint

intmiddotmiddot middot

int intmiddot middot middot

intidotsint

Table 74 stmaryrd Variable-sized Math Operators

embigbox

g obiginterleave

bigsqcap

bjbigcurlyvee

bignplus

`hbigtriangledown

ckbigcurlywedge

f nbigparallel

aibigtriangleup

42

Table 75 wasysym Variable-sized Math Operators

r wint

sxiint

tyiiint

u zoint

voiint

If wasysym is loaded without package options then none of the preceding symbolsare defined However varint produces wasysymrsquos int glyph and varoint

produces wasysymrsquos oint glyph

If wasysym is loaded with the integrals option then all of the preceding symbolsare defined but varint and varoint are left undefined

If wasysym is loaded with the nointegrals option then none of the preceding sym-bols varint or varoint are defined

Table 76 mathabx Variable-sized Math Operators

Ĳ

ň

bigcurlyveeYacute

yacute

bigboxslashEacute

eacute

bigoright

Ű

ę

bigsqcapOgrave

ograve

bigboxtimesIacute

iacute

bigoslash

Ż

ń

bigcurlywedgeUacute

uacute

bigboxtopEcirc

ecirc

bigotop

Ouml

ouml

bigboxasteriskszlig

szlig

bigboxtriangleupIuml

iuml

bigotriangleup

THORN

thorn

bigboxbackslashUuml

uuml

bigboxvoidIgrave

igrave

bigovoid

Ucirc

ucirc

bigboxbotŠ

ć

bigcomplementopŘ

ă

bigplus

Otilde

otilde

bigboxcircAElig

aelig

bigoasteriskŸ

ĺ

bigsquplus

Œ

œ

bigboxcoasteriskIcirc

icirc

bigobackslashŚ

ą

bigtimes

Oacute

oacute

bigboxdivEuml

euml

bigobotţ

iexcl

iiint

Ocirc

ocirc

bigboxdotAring

aring

bigocircť

ĳ

iint


43


Oslash

oslash

bigboxleftCcedil

ccedil

bigocoasteriskş

ż

int

Ntilde

ntilde

bigboxminusAtilde

atilde

bigodivů

pound

oiint

ETH

eth

bigboxplusEgrave

egrave

bigoleftű

iquest

oint

Ugrave

ugrave

bigboxrightAacute

aacute

bigominus

Table 77 txfontspxfonts Variable-sized Math Operators

bigsqcapplus

13ointclockwise

bigsqcupplus

ointctrclockwise

gt fint

R Ssqiiint

(idotsint

P Qsqiint

ampiiiint

sqint

$iiint

F Gvaroiiintclockwise

iint

N Ovaroiiintctrclockwise

L Moiiintclockwise

B Cvaroiintclockwise

D Eoiiintctrclockwise

J Kvaroiintctrclockwise

) oiiint

- varointclockwise


44


H Ioiintclockwise

+ varointctrclockwise

Aoiintctrclockwise

varprod

oiint

Table 78 esint Variable-sized Math Operators

macr ˙dotsint

ı ointclockwise

ffl fint

permilointctrclockwise

ˇ ˘iiiint

rdquo bdquosqiint

˝ ˚iiint

rsaquo ldquosqint

˜ umliint

varoiint

amplanddownint

ff fivarointclockwise

$landupint

fl ffivarointctrclockwise

sbquo lsaquooiint

45

Table 79 bigints Variable-sized Math Operatorsint intbigint

∮ ∮bigointint int

bigints

∮ ∮bigointsint int

bigintss

∮ ∮bigointssint int

bigintsss∮ ∮

bigointsss

int intbigintssss

∮ ∮bigointssss

Table 80 MnSymbol Variable-sized Math Operators

⋂ ⋂ bigcap ⊖ ⊖ bigominus ∁ ∁ complement

⩀ ⩀ bigcapdot oplus oplus bigoplus ∐ ∐ coprod

$ bigcapplus ⊘ ⊘ bigoslash Z [ idotsint

bigcircle bigostar ⨌ ⨌ iiiint

⋃ ⋃ bigcup otimes otimes bigotimes ∭ ∭ iiint

⊍ ⊍ bigcupdot F G bigotriangle ∬ ∬ iint

⊎ ⊎ bigcupplus ⦶ ⦶ bigovert int int int

⋎ ⋎ bigcurlyvee + + bigplus ⨚ ⨚ landdownint

bigcurlyveedot ⊓ ⊓ bigsqcap ⨙ ⨙ landupint

⋏ ⋏ bigcurlywedge - bigsqcapdot ∲ ∲ lcircleleftint

bigcurlywedgedot 0 1 bigsqcapplus ∲ ∲ lcirclerightint

bigdoublecurlyvee ⊔ ⊔ bigsqcup ∯ ∯ oiint

bigdoublecurlywedge bigsqcupdot ∮ ∮ oint


46


⩔ ⩔ bigdoublevee 2 3 bigsqcupplus prod prod prod

⩕ ⩕ bigdoublewedge ⨉ ⨉ bigtimes ∳ ∳ rcircleleftint

⊛ ⊛ bigoast ⋁ ⋁ bigvee ∳ ∳ rcirclerightint

⦸ ⦸ bigobackslash bigveedot ⨏ ⨏ strokedint

⊚ ⊚ bigocirc ⋀ ⋀ bigwedge sum sum sum

⊙ ⊙ bigodot bigwedgedot ⨋ ⨋ sumint

MnSymbol defines biguplus as a synonym for bigcupplus

Table 81 fdsymbol Variable-sized Math Operators

⋂ ⋂ bigcap ⨆ ⨆ bigsqcup ∱ ∱ landupint

bigcapdot amp bigsqcupdot ∲ ∲ lcircleleftint

bigcapplus + bigsqcupplus ∲ ∲ lcirclerightint

⋃ ⋃ bigcup ⨉ ⨉ bigtimes ∰ ∰ oiiint

⨃ ⨃ bigcupdot ⋁ ⋁ bigvee ∯ ∯ oiint

⨄ ⨄ bigcupplus bigveedot ∮ ∮ oint

bigcurlyvee ⋀ ⋀ bigwedge ⨊ ⨊ osum

bigcurlywedge bigwedgedot prod prod prod

⨈ ⨈ bigdoublevee ∐ ∐ coprod ∳ ∳ rcircleleftint

⨇ ⨇ bigdoublewedge ⨏ ⨏ fint ∳ ∳ rcirclerightint

2 3 bigoast L M idotsint sum sum sum

⨀ ⨀ bigodot ⨌ ⨌ iiiint ⨋ ⨋ sumint

⨁ ⨁ bigoplus ∭ ∭ iiint ∐ ∐ varcoprod


47


⨂ ⨂ bigotimes ∬ ∬ iint ⨊ ⨊ varosum

bigplus int int int prod prod varprod

⨅ ⨅ bigsqcap ⨍ ⨍ intbar sum sum varsum

$ bigsqcapdot ⨎ ⨎ intBar ⨋ ⨋ varsumint

( ) bigsqcapplus ⨑ ⨑ landdownint

fdsymbol defines awint as a synonym for landdownint biguplus as asynonym for bigcupplus conjquant as a synonym for bigdoublewedgedisjquant as a synonym for bigdoublevee dotsint as a synonym foridotsint intclockwise as a synonym for landupint intctrclockwiseas a synonym for landdownint modtwosum as a synonym for osumointclockwise as a synonym for lcircleleftint ointctrclockwise

as a synonym for rcirclerightint varmodtwosum as a synonym forvarosum varointclockwise as a synonym for lcirclerightint andvarointctrclockwise as a synonym for rcircleleftint

Table 82 boisik Variable-sized Math Operators

intup

boisik additionally provides all of the symbols in Table 72

Table 83 stix Variable-sized Math Operators

⨑ ⨑ awint∐ ∐

coprod ∰ ∰ oiiint

⅀ ⅀

Bbbsum⨈ ⨈

disjquant ∯ ∯ oiint

⋂ ⋂

bigcap ⨏ ⨏ fint ∮ ∮ oint

⋃ ⋃

bigcup ⨌ ⨌ iiiint ∳ ∳ ointctrclockwise

(continued on next page)48


⨃ ⨃

bigcupdot ∭ ∭ iiint ⨕ ⨕ pointint

⨀ ⨀

bigodot ∬ ∬ iintprod prod

prod

⨁ ⨁

bigoplus int int int ⨒ ⨒ rppolint

⨂ ⨂

bigotimes ⨍ ⨍ intbar ⨓ ⨓ scpolint

⨅ ⨅

bigsqcap ⨎ ⨎ intBar ⨖ ⨖ sqint

⨆ ⨆

bigsqcup ⨙ ⨙ intcapsum sum

sum

⫿ ⫿

bigtalloblong ∱ ∱ intclockwise ⨋ ⨋ sumint

⨉ ⨉

bigtimes ⨚ ⨚ intcup ⨛ ⨛ upint

⨄ ⨄

biguplus ⨗ ⨗ intlarhk ∲ ∲ varointclockwise

⋁ ⋁

bigvee ⨘ ⨘ intx⧹ ⧹

xbsol

⋀ ⋀

bigwedge ⨜ ⨜ lowint⧸ ⧸

xsol

⨐ ⨐ cirfnint⨊ ⨊

modtwosum

⨇ ⨇

conjquant ⨔ ⨔ npolint

By default each of the integral-producing commands in Table 83 points to aslanted version of the glyph as shown The upint package option typesets eachintegral instead as an upright version Slanted and upright integrals can be mixedhowever by explicitly using the commands shown in Table 84

49

Table 84 stix Integrals with Explicit Slant

int int intsl int int intup

∬ ∬ iintsl ∬ ∬ iintup

∭ ∭ iiintsl ∭ ∭ iiintup

∮ ∮ ointsl ∮ ∮ ointup

∯ ∯ oiintsl ∯ ∯ oiintup

∰ ∰ oiiintsl ∰ ∰ oiiintup

∱ ∱ intclockwisesl ∱ ∱ intclockwiseup

∲ ∲ varointclockwisesl ∲ ∲ varointclockwiseup

∳ ∳ ointctrclockwisesl ∳ ∳ ointctrclockwiseup

⨋ ⨋ sumintsl ⨋ ⨋ sumintup

⨌ ⨌ iiiintsl ⨌ ⨌ iiiintup

⨍ ⨍ intbarsl ⨍ ⨍ intbarup

⨎ ⨎ intBarsl ⨎ ⨎ intBarup

⨏ ⨏ fintsl ⨏ ⨏ fintup

⨐ ⨐ cirfnintsl ⨐ ⨐ cirfnintup

⨑ ⨑ awintsl ⨑ ⨑ awintup

⨒ ⨒ rppolintsl ⨒ ⨒ rppolintup

⨓ ⨓ scpolintsl ⨓ ⨓ scpolintup


50


⨔ ⨔ npolintsl ⨔ ⨔ npolintup

⨕ ⨕ pointintsl ⨕ ⨕ pointintup

⨖ ⨖ sqintsl ⨖ ⨖ sqintup

⨗ ⨗ intlarhksl ⨗ ⨗ intlarhkup

⨘ ⨘ intxsl ⨘ ⨘ intxup

⨙ ⨙ intcapsl ⨙ ⨙ intcapup

⨚ ⨚ intcupsl ⨚ ⨚ intcupup

⨛ ⨛ upintsl ⨛ ⨛ upintup

⨜ ⨜ lowintsl ⨜ ⨜ lowintup


Table 85 mathdesign Variable-sized Math Operators

intclockwise

ointclockwise

oiiint

ointctrclockwise

oiint

The mathdesign package provides three versions of each integralmdashin fact of ev-ery symbolmdashto accompany different text fonts Utopia (

int

) Garamond (int

) and

Charter (int

)

51

Table 86 prodint Variable-sized Math Operators

P prodi R Prodi T PRODI

prodint currently requires the author to manually specify prodi for inlined ex-pressions ($ $) Prodi for displayed math ([ ]) and PRODI for displayedmath involving tall integrands The package does not define a product integralcommand that scales automatically akin to the symbols in Table 72

Table 87 cmll Large Math Operators

˙bigparr

˘bigwith

cmll defines biginvamp as a synonym for bigparr

Table 88 Binary Relations

asymp approx equiv equiv perp perp smile

≍ asymp frown ≺ prec ≻ succ

◁▷ bowtie Z Join ⪯ preceq ⪰ succeq

cong | middagger prop propto ⊢ vdash

⊣ dashv |= models sim sim

doteq parallel ≃ simeq


dagger The difference between mid and | is that the former is a binary relation whilethe latter is a math ordinal Consequently LATEX typesets the two with differentsurrounding spacing Contrast ldquoP(A | B)rdquo ↦rarr ldquo119875 (119860|119861)rdquo with ldquoP(A mid B)rdquo ↦rarrldquo119875 (119860 | 119861)rdquo

Table 89 119964ℳ119982 Binary Relations

u approxeq P eqcirc v succapprox

backepsilon fallingdotseq lt succcurlyeq

v backsim ( multimap succsim

w backsimeq t pitchfork there4 therefore

∵ because w precapprox asymp thickapprox

G between 4 preccurlyeq sim thicksim

m Bumpeq - precsim prop varpropto

l bumpeq risingdotseq 13 Vdash

$ circeq p shortmid vDash

2 curlyeqprec q shortparallel Vvdash

3 curlyeqsucc a smallfrown

+ doteqdot ` smallsmile

52

Table 90 119964ℳ119982 Negated Binary Relations

ncong nshortparallel 3 nVDash

- nmid nsim precnapprox

∦ nparallel nsucc precnsim

⊀ nprec nsucceq succnapprox

npreceq 2 nvDash succnsim

nshortmid 0 nvdash

Table 91 stmaryrd Binary Relations

A inplus B niplus

Table 92 wasysym Binary Relations

invneg leadsto wasypropto

Z Join logof

Table 93 txfontspxfonts Binary Relations

S circledgtr X lJoin ] opentimes

R circledless lrtimes y Perp

13 colonapprox ( multimap preceqq

Colonapprox multimapboth precneqq

D coloneq multimapbothvert Y rJoin

H Coloneq multimapdot K strictfi

F Coloneqq multimapdotboth J strictif

B coloneqq multimapdotbothA L strictiff

Colonsim multimapdotbothAvert succeqq

colonsim multimapdotbothB succneqq

I Eqcolon multimapdotbothBvert ∥ varparallel

E eqcolon multimapdotbothvert varparallelinv

C eqqcolon multimapdotinv VvDash

G Eqqcolon multimapinv

h eqsim [ openJoin

As an alternative to using txfontspxfonts a ldquo=rdquo symbol can be constructed withldquomathrelmathop=rdquo

53

Table 94 txfontspxfonts Negated Binary Relations

6 napproxeq $ npreccurlyeq 5 nthickapprox

- nasymp 9 npreceqq h ntwoheadleftarrow

nbacksim nprecsim g ntwoheadrightarrow

+ nbacksimeq nsimeq nvarparallel

( nbumpeq 8 nsuccapprox nvarparallelinv

) nBumpeq nsucccurlyeq 1 nVdash

nequiv nsucceqq

7 nprecapprox nsuccsim

Table 95 mathabx Binary Relations

between divides laquo risingdotseq

rdquo botdoteq bdquo dotseq Ccedil succapprox

ı Bumpedeq permil eqbumped ě succcurlyeq

bumpedeq ff eqcirc Iacute succdot

circeq mdash eqcolon Aacute succsim

ndash coloneq raquo fallingdotseq 6 therefore

fl corresponds Iuml ggcurly ldquo topdoteq

ű curlyeqprec Icirc llcurly ( vDash

ů curlyeqsucc AElig precapprox Vdash

) DashV ď preccurlyeq ( VDash

) Dashv Igrave precdot Vvdash

- dashVv Agrave precsim

Table 96 mathabx Negated Binary Relations

ff napprox M notperp nvDash

fl ncong ć nprec nVDash

yuml ncurlyeqprec Egrave nprecapprox nVdash

ź ncurlyeqsucc ę npreccurlyeq amp nvdash

+ nDashv ł npreceq nVvash

ndashV Acirc nprecsim Ecirc precnapprox

rsquo ndashv nsim ň precneq

+ nDashV fi nsimeq Auml precnsim

ndashVv č nsucc Euml succnapprox

permil neq Eacute nsuccapprox ŋ succneq

ffi notasymp ğ nsucccurlyeq Aring succnsim

ffl notdivides ń nsucceq

ı notequiv Atilde nsuccsim

The changenotsign command toggles the behavior of not to produce eithera vertical or a diagonal slash through a binary operator Thus ldquo$a not= b$rdquocan be made to produce either ldquo119886 shy= 119887rdquo or ldquo119886 shy= 119887rdquo

54

Table 97 MnSymbol Binary Relations

asymp approx ≙ hateq rightpropto

≊ approxeq hcrossing ⪧ rightslice

backapprox z leftfootline ⊩ rightVdash

backapproxeq leftfree ⊢ rightvdash

≌ backcong acirc leftmodels ≓ risingdotseq

backeqsim ograve leftModels sefootline

∽ backsim prop leftpropto sefree

⋍ backsimeq ETH leftrightline divide seModels

backtriplesim Ocirc Leftrightline ccedil semodels

between ⪦ leftslice separated

≏ bumpeq ecirc leftVdash iuml seVdash

≎ Bumpeq ⊣ leftvdash szlig sevdash

≗ circeq | nefootline ∥ shortparallel

Uuml closedequal nefree sim sim

frac12 closedprec ocirc neModels ≃ simeq

raquo closedsucc auml nemodels ≻ succ

∶= coloneq Ograve neswline ⪸ succapprox

cong cong Ouml Neswline ≽ succcurlyeq

⋞ curlyeqprec igrave neVdash ⪰ succeq

⋟ curlyeqsucc Uuml nevdash ≿ succsim

≑ Doteq nwfootline ~ swfootline

≐ doteq nwfree swfree

downfootline aring nwmodels ouml swModels

⫝ downfree otilde nwModels aelig swmodels

atilde downmodels nwsecrossing icirc swVdash

oacute downModels times Nwseline THORN swvdash

downpropto Oacute nwseline ≋ triplesim

⊤ downvdash Yacute nwvdash ∣ updownline

downVdash iacute nwVdash ∥ Updownline

eqbump ≺ prec y upfootline

≖ eqcirc ⪷ precapprox upfree

⩦ eqdot ≼ preccurlyeq ntilde upModels

≂ eqsim ⪯ preceq aacute upmodels

= equal ≾ precsim uppropto

Yacute equalclosed x rightfootline perp upvdash

equiv equiv rightfree upVdash

THORN equivclosed ⊧ rightmodels vcrossing

≒ fallingdotseq ⊫ rightModels ⊪ Vvdash

MnSymbol additionally defines synonyms for some of the preceding symbols

55

⊣ dashv (same as leftvdash)Oacute diagdown (same as nwseline)Ograve diagup (same as neswline)Ograve divides (same as updownline)≑ doteqdot (same as Doteq)⊧ models (same as rightmodels)∥ parallel (same as Updownline)perp perp (same as upvdash)prop propto (same as leftpropto)ETH relbar (same as leftrightline)Ocirc Relbar (same as Leftrightline)prop varpropto (same as leftpropto)⊧ vDash (same as rightmodels)⊫ VDash (same as rightModels)⊢ vdash (same as rightvdash)⊩ Vdash (same as rightVdash)

Table 98 MnSymbol Negated Binary Relations

≉ napprox z nleftfootline nrisingdotseq

napproxeq nleftfree nsefootline

nbackapprox acirc nleftmodels nsefree

nbackapproxeq ograve nleftModels divide nseModels

nbackcong ETH nleftrightline ccedil nsemodels

nbackeqsim Ocirc nLeftrightline szlig nsevdash

nbacksim Uacute nleftvdash iuml nseVdash

nbacksimeq ecirc nleftVdash ∤ nshortmid

nbacktriplesim | nnefootline ∦ nshortparallel

nbumpeq nnefree ≁ nsim

nBumpeq auml nnemodels ≄ nsimeq

sup3 ncirceq ocirc nneModels ⊁ nsucc

eacute nclosedequal Ograve nneswline eacute nsuccapprox

≇ ncong Ouml nNeswline ⋡ nsucccurlyeq

ograve ncurlyeqprec igrave nneVdash atilde nsucceq

oacute ncurlyeqsucc Uuml nnevdash ccedil nsuccsim

ndoteq nnwfootline ~ nswfootline

nDoteq nnwfree nswfree

ndownfootline aring nnwmodels ouml nswModels

⫝̸ ndownfree otilde nnwModels aelig nswmodels

oacute ndownModels times nNwseline THORN nswvdash

atilde ndownmodels Oacute nnwseline icirc nswVdash

euml ndownVdash Yacute nnwvdash ~ ntriplesim

Ucirc ndownvdash iacute nnwVdash ∦ nUpdownline

neqbump ⊀ nprec ∤ nupdownline

sup2 neqcirc egrave nprecapprox y nupfootline

neqdot ⋠ npreccurlyeq nupfree

neqsim acirc npreceq ntilde nupModels


56


ne nequal aelig nprecsim aacute nupmodels

ecirc nequalclosed x nrightfootline eacute nupVdash

≢ nequiv nrightfree Ugrave nupvdash

euml nequivclosed ⊯ nrightModels ⪹ precnapprox

neswcrossing ⊭ nrightmodels ⋨ precnsim

nfallingdotseq ⊬ nrightvdash ⪺ succnapprox

micro nhateq ⊮ nrightVdash ⋩ succnsim


Uacute ndashv (same as nleftvdash)Oacute ndiagdown (same as nnwseline)Ograve ndiagup (same as nneswline)∤ ndivides (same as nupdownline)ne ne (same as nequal)ne neq (same as nequal)∤ nmid (same as nupdownline)⊭ nmodels (same as nrightmodels)∦ nparallel (same as nUpdownline)Ugrave nperp (same as nupvdash)ETH nrelbar (same as nleftrightline)Ocirc nRelbar (same as nLeftrightline)⊭ nvDash (same as nrightmodels)⊬ nvdash (same as nrightvdash)⊮ nVdash (same as nrightVdash)⊯ nVDash (same as nrightModels)

Table 99 fdsymbol Binary Relations

asymp approx equiv equiv ⊧ rightmodels

≊ approxeq ≒ fallingdotseq ⊩ rightVdash

≌ backcong frown ⊫ rightVDash

backpropto ≘ frowneq ⊢ rightvdash

∽ backsim frownsmile ⊨ rightvDash

⋍ backsimeq isin in ≓ risingdotseq

≬ between ⫞ leftassert ∣ shortmid

⋈ bowtie ⫣ leftAssert ∥ shortparallel

≏ bumpeq not leftfootline sim sim

≎ Bumpeq icirc leftmodels ≃ simeq

⪮ bumpeqq ⊣ leftvdash smile

≗ circeq ⫤ leftvDash smileeq

≔ coloneq ⫣ leftVdash ≍ smilefrown

cong cong ⫥ leftVDash ≛ stareq

crossing ⟝ longleftfootline ≻ succ


57


⋞ curlyeqprec ⟽ Longmapsfrom ⪸ succapprox

⋟ curlyeqsucc ⟻ longmapsfrom ≽ succcurlyeq

yacute dashVv ⟞ longrightfootline ⪰ succeq

yuml Ddashv ∣ mid ⪴ succeqq

cong dotcong ni owns ≿ succsim

≐ doteq ∥ parallel asymp thickapprox

≑ Doteq ≺ prec sim thicksim

∺ dotsminusdots ⪷ precapprox ≋ triplesim

⫧ downAssert ≼ preccurlyeq ⫠ upassert

⫟ downassert ⪯ preceq ⫨ upAssert

iuml downmodels ⪳ preceqq iacute upmodels

⫪ downvDash ⪹ precnapprox perp upvdash

downVdash ⪱ precneq ⫫ upvDash

⊤ downvdash ⪵ precneqq upVdash

ucirc downVDash ⋨ precnsim ugrave upVDash

≖ eqcirc ≾ precsim ⫢ vDdash

≕ eqcolon prop propto ≚ veeeq

⩦ eqdot ⊦ rightassert ⊪ Vvdash

≂ eqsim ⊩ rightAssert ≙ wedgeq

= equal shy rightfootline

fdsymbol defines synonyms for many of the preceding symbols

≋ approxident ⫣ dashV ⊦ shortrighttack

≘ arceq ≑ doteqdot ⫠ shortuptack

⊩ Assert ≕ eqqcolon smallfrown

⊦ assert ≙ hateq smallsmile

≍ asymp ⋈ Join prop varpropto

⫧ Barv ⟞ longdashv ⫨ vBar

⫪ barV ⊧ models ⫫ Vbar

closure ni ni ⊨ vDash

≔ coloneqq perp perp ⊫ VDash

⊣ dashv propfrom ⊩ Vdash

⫥ DashV ⫟ shortdowntack ⊢ vdash

⫤ Dashv ⫞ shortlefttack ⟝ vlongdash

58

Table 100 fdsymbol Negated Binary Relations

Oacute backsimneqq notin nin ≁ nsim

≉ napprox ouml nleftAssert ≄ nsimeq

u napproxeq aelig nleftassert ~ nsmile

t nbackcong not nleftfootline nsmileeq

m nbacksim icirc nleftmodels ≭ nsmilefrown

q nbacksimeq ecirc nleftvDash nstareq

v nbumpeq acirc nleftvdash ⊁ nsucc

x nBumpeq ograve nleftVdash Ccedil nsuccapprox

w nbumpeqq uacute nleftVDash ⋡ nsucccurlyeq

ncirceq AElig nlongleftfootline iquest nsucceq

≇ ncong Atilde nLongmapsfrom Atilde nsucceqq

ETH ncurlyeqprec Aacute nlongmapsfrom Aring nsuccsim

Ntilde ncurlyeqsucc Ccedil nlongrightfootline o ntriplesim

yacute ndashVv ∤ nmid aring nupassert

yuml nDdashv ∌ nowns otilde nupAssert

y ndoteq ∦ nparallel iacute nupmodels

nDoteq ⊀ nprec ugrave nupVDash

ccedil ndownassert AElig nprecapprox eacute nupvDash

divide ndownAssert ⋠ npreccurlyeq ntilde nupVdash

iuml ndownmodels frac34 npreceq aacute nupvdash

atilde ndownvdash Acirc npreceqq thorn nvDdash

oacute ndownVdash Auml nprecsim nveeeq

ucirc ndownVDash auml nrightassert uuml nVvdash

euml ndownvDash ⊮ nrightAssert nwedgeq

neqcirc shy nrightfootline ⪱ precneq

z neqdot igrave nrightmodels ⪵ precneqq

r neqsim ⊬ nrightvdash ≆ simneqq

ne nequal ⊮ nrightVdash ⪺ succnapprox

≢ nequiv ⊭ nrightvDash ⪲ succneq

| nfallingdotseq ⊯ nrightVDash ⪶ succneqq

nfrown nrisingdotseq ⋩ succnsim

nfrowneq ∤ nshortmid

nfrownsmile ∦ nshortparallel


o napproxident ograve ndashV auml nshortrighttack

narceq ne ne aring nshortuptack

⊮ nAssert ne neq ≄ nsime

auml nassert nhateq otilde nvBar

≭ nasymp Ccedil nlongdashv eacute nVbar

divide nBarv igrave nmodels ⊮ nVdash

euml nbarV ∌ nni ⊭ nvDash

nclosure notin notin ⊯ nVDash

uacute nDashV aacute nperp ⊬ nvdash

ecirc nDashv ccedil nshortdowntack AElig nvlongdash

acirc ndashv aelig nshortlefttack

59

Table 101 boisik Binary Relations

eth ac gt fatslash scurel

Yacute approxeq thorn forkv frac34 shortmid

arceq yacute frown iquest shortparallel

Ntilde backsim euml ggcurly simrdots

Oacute backsimeq gt hash frac12 smallfrown

` bagmember para inplus frac14 smallsmile

para because kernelcontraction uuml smile

middot between ecirc llcurly igrave strictfi

AElig bumpeq sup3 multimap iacute strictif

Ccedil Bumpeq Agrave multimapboth sup1 succapprox

Ugrave circeq AElig multimapbothvert Iuml succcurlyeq

CircledEq acute multimapdot succnapprox

aelig cong Aacute multimapdotboth succneqq

corresponds Atilde multimapdotbothA succnsim

Igrave curlyeqprec Eacute multimapdotbothAvert raquo succsim

Iacute curlyeqsucc Acirc multimapdotbothB micro therefore

Ucirc dashV Egrave multimapdotbothBvert Acirc thickapprox

Uacute DashV Ccedil multimapdotbothvert ETH thicksim

Oslash dashVv Aring multimapdotinv yuml topfork

Ecirc dfourier Auml multimapinv Oslash triangleq

Euml Dfourier middot niplus varhash

lt disin = nisd cedil varisins

doteq aring Perp sup1 varnis

Ucirc doteqdot szlig pitchfork szlig varpropto

dotminus cedil precapprox cedil Vdash

dotsim Icirc preccurlyeq raquo vDash

eqbumped precnapprox ordm VDash

Uacute eqcirc precneqq veeeq

Ograve eqsim precnsim sup1 Vvdash

ocirc equalparallel ordm precsim Igrave ztransf

Yacute fallingdotseq prurel Iacute Ztransf

fatbslash Uuml risingdotseq

Table 102 boisik Negated Binary Relations

ncong npreceq sup3 nVDash

auml neq reg nshortmid plusmn nVdash

nequiv macr nshortparallel deg nvdash

shy nmid nsim sup2 nvDash

not nparallel nsucc

nprec nsucceq

60

Table 103 stix Binary Relations

asymp approx ⧥ eqvparsl ⥽ rightfishtail

≊ approxeq ≒ fallingdotseq ⥰ rightimply

⩰ approxeqq ⧓ fbowtie ⤚ righttail

≋ approxident ⫝ forksnot ≓ risingdotseq

≘ arceq ⫙ forkv ⫎ rsqhook

⊦ assert frown ⧴ ruledelayed

⩮ asteq ⧦ gleichstark ⊱ scurel

≍ asymp ⩯ hatapprox ⫟ shortdowntack

≌ backcong ⊷ imageof ⫞ shortlefttack

∽ backsim isin in ∣ shortmid

⋍ backsimeq ⋵ isindot ∥ shortparallel

⋿ bagmember ⋹ isinE ⫠ shortuptack

⫧ Barv ⋷ isinobar sim sim

⫪ barV ⋴ isins ≃ simeq

≬ between ⋸ isinvb ⩬ simminussim

⫭ bNot ∻ kernelcontraction ≆ simneqq

⋈ bowtie ⤛ leftdbltail ⩫ simrdots

≎ Bumpeq ⥼ leftfishtail smallfrown

≏ bumpeq ⤙ lefttail ∊ smallin

⪮ bumpeqq ⧑ lfbowtie ∍ smallni

⟟ cirbot ⧔ lftimes smallsmile

≗ circeq ⟞ longdashv ⧤ smeparsl

⫯ cirmid ⫍ lsqhook smile

closure ≞ measeq ≛ stareq

⩴ Coloneq ∣ mid ≻ succ

≔ coloneq ⫰ midcir ⪼ Succ

cong cong ⫛ mlcp ⪸ succapprox

⩭ congdot ⊧ models ≽ succcurlyeq

⋞ curlyeqprec ⊸ multimap ⪰ succeq

⋟ curlyeqsucc ⟜ multimapinv ⪴ succeqq

∹ dashcolon ni ni ⪺ succnapprox

⊣ dashv ⋾ niobar ⪲ succneq

⫣ dashV ⋼ nis ⪶ succneqq

⫤ Dashv ⋺ nisd ⋩ succnsim

⫥ DashV ⫬ Not ≿ succsim

⟚ DashVDash notchar asymp thickapprox

⟛ dashVdash ⊶ origof sim thicksim

⩷ ddotseq ∥ parallel ⫚ topfork

⋲ disin ⫳ parsim ⥾ upfishtail

≑ Doteq ⟂ perp ⟒ upin

≐ doteq ⋔ pitchfork ⋶ varisinobar

⩧ dotequiv ≺ prec ⋳ varisins

⩪ dotsim ⪻ Prec ⋽ varniobar

∺ dotsminusdots ⪷ precapprox ⋻ varnis

⥿ downfishtail ≼ preccurlyeq prop varpropto

⧟ dualmap ⪯ preceq ⫦ varVdash

⧣ eparsl ⪳ preceqq ⫨ vBar


61


≖ eqcirc ⪹ precnapprox ⫫ Vbar

≕ eqcolon ⪱ precneq ⫩ vBarv

≝ eqdef ⪵ precneqq ⊩ Vdash

⩦ eqdot ⋨ precnsim ⊢ vdash

⩵ eqeq ≾ precsim ⊨ vDash

⩶ eqeqeq prop propto ⊫ VDash

⩳ eqqsim ⊰ prurel ⫢ vDdash

≂ eqsim ⟓ pullback ⋮ vdots

⋕ equalparallel ⟔ pushout ≚ veeeq

equiv equiv ≟ questeq ⩙ veeonwedge

≣ Equiv ⫮ revnmid vertoverlay

⩸ equivDD ⧒ rfbowtie ⟝ vlongdash

⩨ equivVert ⧕ rftimes ⊪ Vvdash

⩩ equivVvert ⤜ rightdbltail ≙ wedgeq

stix defines owns as a synonym for ni and doteqdot as a synonym for Doteq

Table 104 stix Negated Binary Relations

⫝̸ forks ⫲ nhpar ≄ nsime

≉ napprox ∤ nmid ⊁ nsucc

napproxeqq ∌ nni ⋡ nsucccurlyeq

≭ nasymp notin notin nsucceq

nBumpeq ∦ nparallel nvarisinobar

nbumpeq ⊀ nprec nvarniobar

≇ ncong ⋠ npreccurlyeq ⊭ nvDash

ncongdot npreceq ⊬ nvdash

ne ne ∤ nshortmid ⊯ nVDash

neqsim ∦ nshortparallel ⊮ nVdash

≢ nequiv ≁ nsim

stix defines neq as a synonym for ne nsimeq as a synonym for nsime andnforksnot as a synonym for forks

Table 105 mathtools Binary Relations

asymp Colonapprox minus coloneq minus Eqcolon

asymp colonapprox sim colonsim = eqqcolon

= coloneqq sim Colonsim = Eqqcolon

= Coloneqq dblcolon

minus Coloneq minus eqcolon

Similar symbols can be defined using mathtoolsrsquos vcentcolon which producesa colon centered on the fontrsquos math axis

== vs ==ldquo==rdquo ldquo=vcentcolon=rdquo

62

Table 106 turnstile Binary Relations

119886119887119888

119889119890119891dddtstileabcdef 119886119887119888

119889119890119891nntstileabcdef

119886119887119888

119889119890119891

stdtstileabcdef

119886119887119888

119889119890119891ddststileabcdef 119886119887119888

119889119890119891nnttstileabcdef

119886119887119888

119889119890119891

stststileabcdef

119886119887119888

119889119890119891ddtstileabcdef 119886119887119888

119889119890119891nsdtstileabcdef

119886119887119888

119889119890119891

sttstileabcdef

119886119887119888

119889119890119891ddttstileabcdef 119886119887119888

119889119890119891nsststileabcdef

119886119887119888

119889119890119891

stttstileabcdef

119886119887119888

119889119890119891dndtstileabcdef 119886119887119888

119889119890119891nststileabcdef

119886119887119888

119889119890119891tddtstileabcdef

119886119887119888

119889119890119891dnststileabcdef 119886119887119888

119889119890119891nsttstileabcdef

119886119887119888

119889119890119891tdststileabcdef

119886119887119888

119889119890119891dntstileabcdef

119886119887119888

119889119890119891

ntdtstileabcdef119886119887119888

119889119890119891tdtstileabcdef

119886119887119888

119889119890119891dnttstileabcdef

119886119887119888

119889119890119891

ntststileabcdef119886119887119888

119889119890119891tdttstileabcdef

119886119887119888

119889119890119891dsdtstileabcdef

119886119887119888

119889119890119891

nttstileabcdef 119886119887119888

119889119890119891tndtstileabcdef

119886119887119888

119889119890119891dsststileabcdef

119886119887119888

119889119890119891

ntttstileabcdef 119886119887119888

119889119890119891tnststileabcdef

119886119887119888

119889119890119891dststileabcdef

119886119887119888

119889119890119891sddtstileabcdef 119886119887119888

119889119890119891tntstileabcdef

119886119887119888

119889119890119891dsttstileabcdef

119886119887119888

119889119890119891sdststileabcdef 119886119887119888

119889119890119891tnttstileabcdef

119886119887119888

119889119890119891

dtdtstileabcdef119886119887119888

119889119890119891sdtstileabcdef 119886119887119888

119889119890119891tsdtstileabcdef

119886119887119888

119889119890119891

dtststileabcdef119886119887119888

119889119890119891sdttstileabcdef 119886119887119888

119889119890119891tsststileabcdef

119886119887119888

119889119890119891

dttstileabcdef 119886119887119888

119889119890119891sndtstileabcdef 119886119887119888

119889119890119891tststileabcdef

119886119887119888

119889119890119891

dtttstileabcdef 119886119887119888

119889119890119891snststileabcdef 119886119887119888

119889119890119891tsttstileabcdef

119886119887119888

119889119890119891nddtstileabcdef 119886119887119888

119889119890119891sntstileabcdef

119886119887119888

119889119890119891

ttdtstileabcdef

119886119887119888

119889119890119891ndststileabcdef 119886119887119888

119889119890119891snttstileabcdef

119886119887119888

119889119890119891

ttststileabcdef

119886119887119888

119889119890119891ndtstileabcdef 119886119887119888

119889119890119891ssdtstileabcdef

119886119887119888

119889119890119891tttstileabcdef

119886119887119888

119889119890119891ndttstileabcdef 119886119887119888

119889119890119891ssststileabcdef

119886119887119888

119889119890119891

ttttstileabcdef

119886119887119888

119889119890119891nndtstileabcdef 119886119887119888

119889119890119891sststileabcdef

119886119887119888

119889119890119891nnststileabcdef 119886119887119888

119889119890119891ssttstileabcdef

Each of the above takes an optional argument that controls the size of the upperand lower expressions See the turnstile documentation for more information

63

Table 107 trsym Binary Relations

InversTransformHoriz TransformHoriz

InversTransformVert TransformVert

Table 108 trfsigns Binary Relations

dfourier

Dfourier

fourier Fourier

laplace Laplace ztransf Ztransf

Table 109 cmll Binary Relations

uml coh ˝ scoh

˚ incoh ˇ sincoh

sbquo Perp lsaquo simperp

˛ multimapboth

Table 110 colonequals Binary Relations

asymp approxcolon minus coloncolonminus = equalscoloncolon

asymp approxcoloncolon sim coloncolonsim minus minuscolon

asymp colonapprox = colonequals minus minuscoloncolon

coloncolon minus colonminus ratio

asymp coloncolonapprox sim colonsim sim simcolon

= coloncolonequals = equalscolon sim simcoloncolon

Table 111 fourier Binary Relations

Ocirc nparallelslant Euml parallelslant

Table 112 Subset and Superset Relations

sqsubset ⊒ sqsupseteq sup supset

⊑ sqsubseteq sub subset supe supseteq

A sqsupset sube subseteq


64

Table 113 119964ℳ119982 Subset and Superset Relations

nsubseteq j subseteqq supsetneqq

+ nsupseteq ( subsetneq varsubsetneq

nsupseteqq $ subsetneqq amp varsubsetneqq

sqsubset c Supset varsupsetneq

A sqsupset k supseteqq varsupsetneqq

b Subset ) supsetneq

Table 114 stmaryrd Subset and Superset Relations

D subsetplus E supsetplus

F subsetpluseq G supsetpluseq

Table 115 wasysym Subset and Superset Relations

sqsubset A sqsupset

Table 116 txfontspxfonts Subset and Superset Relations

a nsqsubset A nsqsupseteq nSupset

nsqsubseteq gt nSubset

b nsqsupset nsubseteqq

Table 117 mathabx Subset and Superset Relations

Ć nsqsubset Č nsupset Ě sqsupseteq Ě supseteq

Ű nsqSubset Ů nSupset Ŋ sqsupseteqq Ŋ supseteqq

Ę nsqsubseteq Ğ nsupseteq Ľ sqsupsetneq Ľ supsetneq

Ő nsqsubseteqq Ŕ nsupseteqq Ś sqsupsetneqq Ś supsetneqq

Č nsqsupset Ă sqsubset Ă subset Ł varsqsubsetneq

Ů nsqSupset Ť sqSubset Ť Subset Š varsqsubsetneqq

Ğ nsqsupseteq Ď sqsubseteq Ď subseteq Ń varsqsupsetneq

Ŕ nsqsupseteqq Ň sqsubseteqq Ň subseteqq Ş varsqsupsetneqq

Ć nsubset Ĺ sqsubsetneq Ĺ subsetneq Ł varsubsetneq

Ű nSubset Ř sqsubsetneqq Ř subsetneqq Š varsubsetneqq

Ę nsubseteq Ţ sqSupset Ą supset Ń varsupsetneq

Ő nsubseteqq Ą sqsupset Ţ Supset Ş varsupsetneqq

65

Table 118 MnSymbol Subset and Superset Relations

Ouml nSqsubset ⊈ nsubseteq ⋤ sqsubsetneq sube subseteq

ETH nsqsubset Uuml nsubseteqq ouml sqsubsetneqq ⫅ subseteqq

⋢ nsqsubseteq szlig nSupset _ Sqsupset ⊊ subsetneq

Ocirc nsqsubseteqq ⊅ nsupset ⊐ sqsupset ⫋ subsetneqq

times nSqsupset ⊉ nsupseteq ⊒ sqsupseteq ⋑ Supset

Ntilde nsqsupset Yacute nsupseteqq ] sqsupseteqq sup supset

⋣ nsqsupseteq ^ Sqsubset ⋥ sqsupsetneq supe supseteq

Otilde nsqsupseteqq ⊏ sqsubset divide sqsupsetneqq ⫆ supseteqq

THORN nSubset ⊑ sqsubseteq ⋐ Subset ⊋ supsetneq

nsub nsubset sqsubseteqq sub subset ⫌ supsetneqq

MnSymbol additionally defines varsubsetneq as a synonym for subsetneqvarsubsetneqq as a synonym for subsetneqq varsupsetneq as a synonymfor supsetneq and varsupsetneqq as a synonym for supsetneqq

Table 119 fdsymbol Subset and Superset Relations

not nsqsubset ⊈ nsubseteq ⋤ sqsubsetneq sube subseteq

sup2 nSqsubset cedil nsubseteqq THORN sqsubsetneqq ⫅ subseteqq

⋢ nsqsubseteq ⊅ nsupset ⊐ sqsupset ⊊ subsetneq

deg nsqsubseteqq raquo nSupset K Sqsupset ⫋ subsetneqq

shy nsqsupset ⊉ nsupseteq ⊒ sqsupseteq sup supset

sup3 nSqsupset sup1 nsupseteqq I sqsupseteqq ⋑ Supset

⋣ nsqsupseteq ⊏ sqsubset ⋥ sqsupsetneq supe supseteq

plusmn nsqsupseteqq J Sqsubset szlig sqsupsetneqq ⫆ supseteqq

nsub nsubset ⊑ sqsubseteq sub subset ⊋ supsetneq

ordm nSubset H sqsubseteqq ⋐ Subset ⫌ supsetneqq

fdsymbol additionally defines varsubsetneqq as a synonym for subsetneqqvarsubsetneq as a synonym for subsetneq varsupsetneqq as a synonymfor supsetneqq and varsupsetneq as a synonym for supsetneq

Table 120 boisik Subset and Superset Relations

nsubset acute sqSubset ordm subsetplus frac12 supsetpluseq

ordf nsubseteq micro sqSupset frac14 subsetpluseq varsubsetneq

cent nsubseteqq aacute sqsupset Eacute Supset brvbar varsubsetneqq

nsupset Egrave Subset Iacute supseteqq iexcl varsupsetneq

laquo nsupseteq Igrave subseteqq copy supsetneq sect varsupsetneqq

pound nsupseteqq uml subsetneq yen supsetneqq

agrave sqsubset curren subsetneqq raquo supsetplus

66

Table 121 stix Subset and Superset Relations

⟈ bsolhsub ⊒ sqsupseteq ⫗ suphsub

⫏ csub ⋥ sqsupsetneq ⥻ suplarr

⫑ csube ⫃ subedot ⫂ supmult

⫐ csup ⫁ submult ⋑ Supset

⫒ csupe ⥹ subrarr sup supset

⥺ leftarrowsubset ⋐ Subset ⫊ supsetapprox

nsqsubset sub subset ⟄ supsetcirc

⋢ nsqsubseteq ⫉ subsetapprox ⪾ supsetdot

nsqsupset ⟃ subsetcirc supe supseteq

⋣ nsqsupseteq ⪽ subsetdot ⫆ supseteqq

nsub nsubset sube subseteq ⊋ supsetneq

⊈ nsubseteq ⫅ subseteqq ⫌ supsetneqq

nsubseteqq ⊊ subsetneq ⫀ supsetplus

⊅ nsupset ⫋ subsetneqq ⫈ supsim

⊉ nsupseteq ⪿ subsetplus ⫔ supsub

nsupseteqq ⫇ subsim ⫖ supsup

⭄ rightarrowsupset ⫕ subsub ⊊ varsubsetneq

⊏ sqsubset ⫓ subsup ⫋ varsubsetneqq

⊑ sqsubseteq ⫘ supdsub ⊋ varsupsetneq

⋤ sqsubsetneq ⫄ supedot ⫌ varsupsetneqq

⊐ sqsupset ⟉ suphsol

Defined as an ordinary character not as a binary relation

Table 122 Inequalities

ge geq ≫ gg le leq ≪ ll neq

Table 123 119964ℳ119982 Inequalities

1 eqslantgtr m gtrdot Q lesseqgtr ngeq

0 eqslantless R gtreqless S lesseqqgtr ngeqq

= geqq T gtreqqless ≶ lessgtr ngeqslant

gt geqslant ≷ gtrless lesssim ≯ ngtr

≫ ggg amp gtrsim ≪ lll nleq

gnapprox gvertneqq lnapprox nleqq

13 gneq 5 leqq lneq nleqslant

gneqq 6 leqslant lneqq ≮ nless

gnsim lessapprox lnsim

gtrapprox l lessdot lvertneqq

67

Table 124 wasysym Inequalities

apprge gt apprle

Table 125 txfontspxfonts Inequalities

4 ngg ngtrsim nlesssim

ngtrapprox nlessapprox 3 nll

amp ngtrless nlessgtr

Table 126 mathabx Inequalities

ů eqslantgtr iexcl gtreqless Agrave lesssim č ngtr

ű eqslantless pound gtreqqless ll Eacute ngtrapprox

ě geq ż gtrless Icirc lll Atilde ngtrsim

ŕ geqq Aacute gtrsim Ecirc lnapprox ę nleq

gg ţ gvertneqq ň lneq ř nleqq

Iuml ggg ď leq š lneqq ć nless

Euml gnapprox ő leqq Auml lnsim Egrave nlessapprox

ŋ gneq AElig lessapprox ť lvertneqq Acirc nlesssim

ş gneqq Igrave lessdot ź neqslantgtr ń nvargeq

Aring gnsim ĳ lesseqgtr yuml neqslantless ł nvarleq

Ccedil gtrapprox iquest lesseqqgtr ğ ngeq ľ vargeq

Iacute gtrdot ž lessgtr ś ngeqq ĺ varleq

mathabx defines leqslant and le as synonyms for leq geqslant and ge

as synonyms for geq nleqslant as a synonym for nleq and ngeqslant asa synonym for ngeq

68

Table 127 MnSymbol Inequalities

⪖ eqslantgtr ⪌ gtreqqless ≲ lesssim Atilde ngtreqless

⪕ eqslantless ≷ gtrless ≪ ll Ccedil ngtreqlessslant

ge geq oacute gtrneqqless ⋘ lll Aring ngtreqqless

⊵ geqclosed ≳ gtrsim ⪉ lnapprox ≹ ngtrless

u geqdot le leq ≨ lneqq ≰ nleq

≧ geqq ⊴ leqclosed ≴ lnsim ⋬ nleqclosed

⩾ geqslant t leqdot ntilde neqslantgtr igrave nleqdot

⪀ geqslantdot ≦ leqq eth neqslantless frac34 nleqq

≫ gg ⩽ leqslant ≱ ngeq ≰ nleqslant

⋙ ggg ⩿ leqslantdot ⋭ ngeqclosed icirc nleqslantdot

⪊ gnapprox lt less iacute ngeqdot ≮ nless

≩ gneqq ⪅ lessapprox iquest ngeqq ⋪ nlessclosed

≵ gnsim ⊲ lessclosed ≱ ngeqslant ecirc nlessdot

gt gtr ⋖ lessdot iuml ngeqslantdot Acirc nlesseqgtr

⪆ gtrapprox ⋚ lesseqgtr Eacute ngg AElig nlesseqgtrslant

⊳ gtrclosed N lesseqgtrslant Euml nggg Auml nlesseqqgtr

⋗ gtrdot ⪋ lesseqqgtr ≯ ngtr ≸ nlessgtr

⋛ gtreqless ≶ lessgtr ⋫ ngtrclosed Egrave nll

O gtreqlessslant ograve lessneqqgtr euml ngtrdot Ecirc nlll


⋙ gggtr (same as ggg)≩ gvertneqq (same as gneqq)⊲ lhd (same as lessclosed)⋘ llless (same as lll)≨ lvertneqq (same as lneqq)⋬ ntrianglelefteq (same as nleqclosed)⋪ ntriangleleft (same as nlessclosed)⋭ ntrianglerighteq (same as ngeqclosed)⋫ ntriangleright (same as ngtrclosed)⊳ rhd (same as gtrclosed)⊴ trianglelefteq (same as leqclosed)⊵ trianglerighteq (same as geqclosed)⊴ unlhd (same as leqclosed)⊵ unrhd (same as geqclosed)⊲ vartriangleleft (same as lessclosed)⊳ vartriangleright (same as gtrclosed)

69

Table 128 fdsymbol Inequalities

⪖ eqslantgtr ⩿ leqslantdot ngtrapprox

⪕ eqslantless ⪨ leqslcc copy ngtrcc

ge geq lt less ⋫ ngtrclosed

⊵ geqclosed ⪅ lessapprox Eacute ngtrdot

c geqdot ⪦ lesscc ngtreqless

≧ geqq ⊲ lessclosed ngtreqqless

⩾ geqslant ⋖ lessdot ngtreqslantless

⪀ geqslantdot ⋚ lesseqgtr ≹ ngtrless

⪩ geqslcc ⪋ lesseqqgtr ≵ ngtrsim

≫ gg ⋚ lesseqslantgtr ≰ nleq

⋙ ggg ≶ lessgtr ⋬ nleqclosed

⪊ gnapprox ≲ lesssim Ecirc nleqdot

⪈ gneq ≪ ll nleqq

≩ gneqq ⋘ lll nleqslant

⋧ gnsim ⪉ lnapprox Igrave nleqslantdot

gt gtr ⪇ lneq ordf nleqslcc

⪆ gtrapprox ≨ lneqq ≮ nless

⪧ gtrcc ⋦ lnsim nlessapprox

⊳ gtrclosed Iuml neqslantgtr uml nlesscc

⋗ gtrdot Icirc neqslantless ⋪ nlessclosed

⋛ gtreqless ≱ ngeq Egrave nlessdot

⪌ gtreqqless ⋭ ngeqclosed nlesseqgtr

⋛ gtreqslantless Euml ngeqdot nlesseqqgtr

≷ gtrless ngeqq nlesseqslantgtr

≳ gtrsim ngeqslant ≸ nlessgtr

le leq Iacute ngeqslantdot ≴ nlesssim

⊴ leqclosed laquo ngeqslcc nll

b leqdot iexcl ngg cent nlll

≦ leqq pound nggg

⩽ leqslant ≯ ngtr

fdsymbol defines synonyms for some of the preceding symbols

ge ge ⩿ lesdot copy ngtcc

⪩ gescc ⋚ lesg ngtreqlessslant

⪀ gesdot ⋚ lesseqgtrslant ordf nlescc

⋛ gesl ⊲ lhd Igrave nlesdot

⋙ gggtr ⋘ llless nlesg


70


⪧ gtcc ⪦ ltcc nlesseqgtrslant

⋛ gtreqlessslant ≨ lvertneqq uml nltcc

≩ gvertneqq laquo ngescc ⊳ rhd

le le Iacute ngesdot ⊴ unlhd

⪨ lescc ngesl ⊵ unrhd

Table 129 boisik Inequalities

Euml eqslantgtr ugrave gtcir AElig lesseqqgtr ngeq

Ecirc eqslantless iquest gtrapprox Acirc lessgtr ngeqq

Aacute geqq Aring gtreqless frac14 lesssim ngeqslant

Eacute geqslant Ccedil gtreqqless Ouml lll ngtr

times ggg Atilde gtrless lnapprox nleq

uacute glj frac12 gtrsim lneq nleqq

gnapprox gvertneqq lneqq nleqslant

gneq Agrave leqq lnsim nless

gneqq Egrave leqslant Icirc Lt

gnsim frac34 lessapprox oslash ltcir

Iuml Gt Auml lesseqgtr lvertneqq

Table 130 stix Inequalities

⪘ egsdot ⩼ gtquest ⋦ lnsim

⪗ elsdot ⪆ gtrapprox ⪍ lsime

⋝ eqgtr ⥸ gtrarr ⪏ lsimg

⋜ eqless ⋗ gtrdot ⪡ Lt

⪚ eqqgtr ⋛ gtreqless ⪦ ltcc

⪙ eqqless ⪌ gtreqqless ⩹ ltcir

⪜ eqqslantgtr ≷ gtrless ⥶ ltlarr

⪛ eqqslantless ≳ gtrsim ⩻ ltquest

⪖ eqslantgtr ≩ gvertneqq ≨ lvertneqq

⪕ eqslantless ⪫ lat neqslantgtr

ge geq ⪭ late neqslantless

≧ geqq ⥷ leftarrowless ≱ ngeq


71


⫺ geqqslant le leq ngeqq

⩾ geqslant ≦ leqq ngeqslant

⪩ gescc ⫹ leqqslant ngg

⪀ gesdot ⩽ leqslant ≯ ngtr

⪂ gesdoto ⪨ lescc ≹ ngtrless

⪄ gesdotol ⩿ lesdot ≵ ngtrsim

⪔ gesles ⪁ lesdoto ≰ nleq

≫ gg ⪃ lesdotor nleqq

⋙ ggg ⪓ lesges nleqslant

⫸ gggnest ⪅ lessapprox ≮ nless

⪥ gla ⋖ lessdot ≸ nlessgtr

⪒ glE ⋚ lesseqgtr ≴ nlesssim

⪤ glj ⪋ lesseqqgtr nll

⪊ gnapprox ≶ lessgtr ⪣ partialmeetcontraction

⪈ gneq ≲ lesssim ⭃ rightarrowgtr

≩ gneqq ⪑ lgE ⪠ simgE

⋧ gnsim ≪ ll ⪞ simgtr

⪎ gsime ⋘ lll ⪟ simlE

⪐ gsiml ⫷ lllnest ⪝ simless

⪢ Gt ⪉ lnapprox ⪪ smt

⪧ gtcc ⪇ lneq ⪬ smte

⩺ gtcir ≨ lneqq

stix defines le as a synonym for leq ge as a synonym for geq llless as asynonym for lll gggtr as a synonym for ggg nle as a synonym for nleqand nge as a synonym for ngeq

Table 131 119964ℳ119982 Triangle Relations

J blacktriangleleft 7 ntriangleright D trianglerighteq

I blacktriangleright 4 ntrianglerighteq C vartriangleleft

6 ntriangleleft E trianglelefteq B vartriangleright

5 ntrianglelefteq triangleq

Table 132 stmaryrd Triangle Relations

P trianglelefteqslant Q trianglerighteqslant

R ntrianglelefteqslant S ntrianglerighteqslant

72

Table 133 mathabx Triangle Relations

Ž ntriangleleft Ÿ triangleleft Ÿ vartriangleleft

đ ntrianglelefteq Ĳ trianglelefteq Ź vartriangleright

Ż ntriangleright Ź triangleright

sect ntrianglerighteq İ trianglerighteq

Table 134 MnSymbol Triangle Relations

filledmedtriangledown largetriangleup smalltriangledown

filledmedtriangleleft medtriangledown smalltriangleleft

filledmedtriangleright ◁ medtriangleleft smalltriangleright

filledmedtriangleup ▷ medtriangleright smalltriangleup

filledtriangledown medtriangleup ≜ triangleeq

filledtriangleleft acute ntriangleeq ⊴ trianglelefteq

filledtriangleright ⋪ ntriangleleft ⊵ trianglerighteq

filledtriangleup ⋬ ntrianglelefteq ⊲ vartriangleleft

largetriangledown ⋫ ntriangleright ⊳ vartriangleright

◁ largetriangleleft ⋭ ntrianglerighteq

▷ largetriangleright d otriangle

MnSymbol additionally defines synonyms for many of the preceding sym-bols triangleq is a synonym for triangleeq lhd and lessclosed

are synonyms for vartriangleleft rhd and gtrclosed are syn-onyms for vartriangleright unlhd and leqclosed are syn-onyms for trianglelefteq unrhd and geqclosed are synonymsfor trianglerighteq blacktriangledown blacktriangleleftblacktriangleright and blacktriangle [sic] are synonyms forrespectively filledmedtriangledown filledmedtriangleleftfilledmedtriangleright and filledmedtriangleup triangleright

is a synonym for medtriangleright triangle vartriangle andbigtriangleup are synonyms for medtriangleup triangleleft is a syn-onym for medtriangleleft triangledown and bigtriangledown are syn-onyms for medtriangledown nlessclosed is a synonym for ntriangleleftngtrclosed is a synonym for ntriangleright nleqclosed is a synonym forntrianglelefteq and ngeqclosed is a synonym for ntrianglerighteq

The title ldquoTriangle Relationsrdquo is a bit of a misnomer here as only triangleeq

and ntriangleeq are defined as TEX relations (class 3 symbols) Thelargetriangle symbols are defined as TEX ldquoordinaryrdquo characters (class 0)and all of the remaining characters are defined as TEX binary operators (class 2)

73

Table 135 fdsymbol Triangle Relations

⊵ geqclosed medtriangledown smallblacktriangleleft

⊳ gtrclosed ◁ medtriangleleft smallblacktriangleright

_ largetriangledown ▷ medtriangleright smallblacktriangleup

^ largetriangleup medtriangleup smalltriangledown

⊴ leqclosed ⋭ ngeqclosed smalltriangleleft

⊲ lessclosed ⋫ ngtrclosed smalltriangleright

medblacktriangledown ⋬ nleqclosed smalltriangleup

medblacktriangleleft ⋪ nlessclosed ≜ triangleeq

medblacktriangleright ntriangleeq

medblacktriangleup smallblacktriangledown

fdsymbol defines synonyms for almost all of the preceding symbols

_ bigtriangledown ⋬ ntrianglelefteq ≜ triangleq

^ bigtriangleup ⋫ ntriangleright ▷ triangleright

blacktriangle ⋭ ntrianglerighteq ⊵ trianglerighteq

blacktriangledown triangle vartriangle

blacktriangleleft triangledown ⊲ vartriangleleft

blacktriangleright ◁ triangleleft ⊳ vartriangleright

⋪ ntriangleleft ⊴ trianglelefteq



Table 136 boisik Triangle Relations

para ntriangleleft ccedil trianglelefteq auml varlrttriangle

micro ntrianglelefteq Ograve trianglelefteqslant igrave vartriangle

middot ntriangleright thorn triangleright aring vartriangleleft

acute ntrianglerighteq aelig trianglerighteq auml vartriangleright

yuml triangleleft Oacute trianglerighteqslant

Table 137 stix Triangle Relations

⧡ lrtriangleeq ⋫ nvartriangleright vartriangle

⧏ ltrivb ⧎ rtriltri ⊲ vartriangleleft

⋬ ntrianglelefteq ⊴ trianglelefteq ⊳ vartriangleright

⋭ ntrianglerighteq ≜ triangleq ⧐ vbrtri

⋪ nvartriangleleft ⊵ trianglerighteq

74

Table 138 Arrows

dArr Downarrow larrminus longleftarrow nwarrow

darr downarrow lArr= Longleftarrow rArr Rightarrow

larr˒ hookleftarrow larrrarr longleftrightarrow rarr rightarrow

˓rarr hookrightarrow lArrrArr Longleftrightarrow searrow

leadsto ↦minusrarr longmapsto swarrow

larr leftarrow =rArr Longrightarrow uarr uparrow

lArr Leftarrow minusrarr longrightarrow uArr Uparrow

hArr Leftrightarrow ↦rarr mapsto updownarrow

harr leftrightarrow nearrowdagger Updownarrow


dagger See the note beneath Table 240 for information about how to put a diagonal arrow

across a mathematical expression (as in ldquo 0

nabla middot rdquo)

Table 139 Harpoons

leftharpoondown rightharpoondown rightleftharpoons

leftharpoonup rightharpoonup

Table 140 textcomp Text-mode Arrows

darr textdownarrow rarr textrightarrow

larr textleftarrow uarr textuparrow

Table 141 119964ℳ119982 Arrows

circlearrowleft hArr leftleftarrows rightleftarrows

circlearrowright leftrightarrows rArr rightrightarrows

x curvearrowleft leftrightsquigarrow rightsquigarrow

y curvearrowright W Lleftarrow Rsh

c dashleftarrow looparrowleft twoheadleftarrow

d dashrightarrow looparrowright twoheadrightarrow

downdownarrows Lsh upuparrows

leftarrowtail rightarrowtail

Table 142 119964ℳ119982 Negated Arrows

nLeftarrow lt nLeftrightarrow nRightarrow

8 nleftarrow = nleftrightarrow 9 nrightarrow

75

Table 143 119964ℳ119982 Harpoons

downharpoonleft leftrightharpoons upharpoonleft

downharpoonright rightleftharpoons upharpoonright

Table 144 stmaryrd Arrows

^ leftarrowtriangle lArr Mapsfrom shortleftarrow

- leftrightarroweq larr[ mapsfrom shortrightarrow

] leftrightarrowtriangle rArr Mapsto shortuparrow

lightning 1 nnearrow ssearrow

lArr= Longmapsfrom 0 nnwarrow $ sswarrow

larrminus[ longmapsfrom _ rightarrowtriangle

=rArr Longmapsto shortdownarrow

Table 145 txfontspxfonts Arrows

boxdotLeft circleddotright Diamondleft

boxdotleft circleleft Diamondright

boxdotright circleright DiamondRight

boxdotRight e dashleftrightarrow f leftsquigarrow

boxLeft DiamonddotLeft t Nearrow

boxleft Diamonddotleft v Nwarrow

boxright Diamonddotright V Rrightarrow

boxRight DiamonddotRight u Searrow

circleddotleft DiamondLeft w Swarrow

Table 146 mathabx Arrows

ouml circlearrowleft ETH leftarrow Ocirc nwarrow

œ circlearrowright ETH leftleftarrows aelig restriction

oacute curvearrowbotleft Oslash leftrightarrow Ntilde rightarrow

otilde curvearrowbotleftright Ocirc leftrightarrows Otilde rightleftarrows

ocirc curvearrowbotright uacute leftrightsquigarrow Ntilde rightrightarrows

eth curvearrowleft oslash leftsquigarrow ugrave rightsquigarrow

ograve curvearrowleftright uuml lefttorightarrow yacute righttoleftarrow

ntilde curvearrowright icirc looparrowdownleft eacute Rsh

ecirc dlsh iuml looparrowdownright Œ searrow

Oacute downdownarrows igrave looparrowleft Ouml swarrow

szlig downtouparrow iacute looparrowright Ouml updownarrows

Œ downuparrows egrave Lsh thorn uptodownarrow

euml drsh Otilde nearrow Ograve upuparrows

Table 147 mathabx Negated Arrows

ouml nLeftarrow Uuml nleftrightarrow Ucirc nrightarrow

Uacute nleftarrow oslash nLeftrightarrow œ nRightarrow

76

Table 148 mathabx Harpoons

THORN barleftharpoon agrave leftharpoonup eacute rightleftharpoons

szlig barrightharpoon Oslash leftleftharpoons Ugrave rightrightharpoons

Ucirc downdownharpoons agrave leftrightharpoon ecirc updownharpoons

aring downharpoonleft egrave leftrightharpoons auml upharpoonleft

ccedil downharpoonright Yacute rightbarharpoon aelig upharpoonright

euml downupharpoons atilde rightharpoondown Uacute upupharpoons

Uuml leftbarharpoon aacute rightharpoonup

acirc leftharpoondown aacute rightleftharpoon

Table 149 MnSymbol Arrows

Euml curvearrowdownup larrETH longleftarrow ⤦ rhookswarrow

Egrave curvearrowleftright lArrOcirc Longleftarrow 9 rhookuparrow

Igrave curvearrownesw larrrarr longleftrightarrow rarr rightarrow

Iacute curvearrownwse lArrrArr Longleftrightarrow rArr Rightarrow

Ecirc curvearrowrightleft zrarr longmapsto ↣ rightarrowtail

Iuml curvearrowsenw ETHrarr longrightarrow rightleftarrows

Icirc curvearrowswne OcircrArr Longrightarrow rightlsquigarrow

Eacute curvearrowupdown looparrowleft ↦ rightmapsto

dasheddownarrow looparrowright rightrightarrows

dashedleftarrow Lsh uml rightrsquigarrow

d dashednearrow nearrow Rrightarrow

e dashednwarrow Nearrow Rsh

dashedrightarrow $ nearrowtail searrow

g dashedsearrow curren nelsquigarrow Searrow

f dashedswarrow nemapsto searrowtail

dasheduparrow nenearrows sect selsquigarrow

dArr Downarrow not nersquigarrow semapsto

darr downarrow ⤡ neswarrow senwarrows

downarrowtail Neswarrow macr sersquigarrow

downdownarrows neswarrows sesearrows

pound downlsquigarrow nwarrow sup3 squigarrowdownup

downmapsto Nwarrow squigarrowleftright

laquo downrsquigarrow nwarrowtail acute squigarrownesw

downuparrows yen nwlsquigarrow micro squigarrownwse

yuml lcirclearrowdown - nwmapsto sup2 squigarrowrightleft

⤾ lcirclearrowleft nwnwarrows middot squigarrowsenw

⟳ lcirclearrowright shy nwrsquigarrow para squigarrowswne

lcirclearrowup ⤢ nwsearrow plusmn squigarrowupdown

⤸ lcurvearrowdown Nwsearrow swarrow

ordm lcurvearrowleft nwsearrows Swarrow

frac14 lcurvearrowne ∲ partialvardlcircleleftint amp swarrowtail

frac12 lcurvearrownw ∲ partialvardlcirclerightint brvbar swlsquigarrow

lcurvearrowright ∳ partialvardrcircleleftint swmapsto


77


iquest lcurvearrowse ∳ partialvardrcirclerightint swnearrows

frac34 lcurvearrowsw ∲ partialvartlcircleleftint reg swrsquigarrow

sup1 lcurvearrowup ∲ partialvartlcirclerightint swswarrows

lArr Leftarrow ∳ partialvartrcircleleftint twoheaddownarrow

larr leftarrow ∳ partialvartrcirclerightint twoheadleftarrow

leftarrowtail ucirc rcirclearrowdown twoheadnearrow

leftleftarrows ⟲ rcirclearrowleft twoheadnwarrow

cent leftlsquigarrow ⤿ rcirclearrowright ↠ twoheadrightarrow

leftmapsto rcirclearrowup twoheadsearrow

harr leftrightarrow ⤹ rcurvearrowdown twoheadswarrow

hArr Leftrightarrow rcurvearrowleft twoheaduparrow

leftrightarrows Auml rcurvearrowne uarr uparrow

leftrsquigarrow Aring rcurvearrownw uArr Uparrow

3 lhookdownarrow Agrave rcurvearrowright uparrowtail

2 lhookleftarrow Ccedil rcurvearrowse updownarrow

4 lhooknearrow AElig rcurvearrowsw Updownarrow

⤣ lhooknwarrow Aacute rcurvearrowup updownarrows

lhookrightarrow rhookdownarrow iexcl uplsquigarrow

⤥ lhooksearrow rhookleftarrow upmapsto

6 lhookswarrow ⤤ rhooknearrow copy uprsquigarrow

1 lhookuparrow = rhooknwarrow upuparrows

lightning 8 rhookrightarrow

Lleftarrow rhooksearrow


circlearrowleft (same as rcirclearrowup) circlearrowright (same as lcirclearrowup) curvearrowleft (same as rcurvearrowleft) curvearrowright (same as lcurvearrowright) dashleftarrow (same as dashedleftarrow) dashrightarrow (same as dashedrightarrow) hookleftarrow (same as rhookleftarrow) hookrightarrow (same as lhookrightarrow) leadsto (same as rightlsquigarrow) leftrightsquigarrow (same as squigarrowleftright)↦ mapsto (same as rightmapsto) rightsquigarrow (same as rightlsquigarrow)

The partialvar int macros are intended to be used internally by MnSymbolto produce various types of integrals

78

Table 150 MnSymbol Negated Arrows

Euml ncurvearrowdownup 5 nlhooknwarrow nrightleftarrows

Egrave ncurvearrowleftright 0 nlhookrightarrow nrightlsquigarrow

Igrave ncurvearrownesw 7 nlhooksearrow ( nrightmapsto

Iacute ncurvearrownwse 6 nlhookswarrow nrightrightarrows

Ecirc ncurvearrowrightleft 1 nlhookuparrow uml nrightrsquigarrow

Iuml ncurvearrowsenw otilde nLleftarrow ocirc nRrightarrow

Icirc ncurvearrowswne nnearrow nSearrow

Eacute ncurvearrowupdown nNearrow nsearrow

c ndasheddownarrow $ nnearrowtail nsearrowtail

b ndashedleftarrow curren nnelsquigarrow sect nselsquigarrow

d ndashednearrow nnemapsto nsemapsto

e ndashednwarrow nnenearrows nsenwarrows

` ndashedrightarrow not nnersquigarrow macr nsersquigarrow

g ndashedsearrow nNeswarrow nsesearrows

f ndashedswarrow nneswarrow sup3 nsquigarrowdownup

a ndasheduparrow nneswarrows deg nsquigarrowleftright

ndownarrow 13 nNwarrow acute nsquigarrownesw

nDownarrow nnwarrow micro nsquigarrownwse

ndownarrowtail nnwarrowtail sup2 nsquigarrowrightleft

ndowndownarrows yen nnwlsquigarrow middot nsquigarrowsenw

pound ndownlsquigarrow - nnwmapsto para nsquigarrowswne

+ ndownmapsto nnwnwarrows plusmn nsquigarrowupdown

laquo ndownrsquigarrow shy nnwrsquigarrow nswarrow

ndownuparrows nnwsearrow nSwarrow

yuml nlcirclearrowdown nNwsearrow amp nswarrowtail

thorn nlcirclearrowleft nnwsearrows brvbar nswlsquigarrow

uuml nlcirclearrowright ucirc nrcirclearrowdown nswmapsto

yacute nlcirclearrowup uacute nrcirclearrowleft nswnearrows

raquo nlcurvearrowdown oslash nrcirclearrowright reg nswrsquigarrow

ordm nlcurvearrowleft ugrave nrcirclearrowup nswswarrows

frac14 nlcurvearrowne Atilde nrcurvearrowdown ntwoheaddownarrow

frac12 nlcurvearrownw Acirc nrcurvearrowleft ntwoheadleftarrow

cedil nlcurvearrowright Auml nrcurvearrowne ntwoheadnearrow

iquest nlcurvearrowse Aring nrcurvearrownw ntwoheadnwarrow

frac34 nlcurvearrowsw Agrave nrcurvearrowright ntwoheadrightarrow

sup1 nlcurvearrowup Ccedil nrcurvearrowse ntwoheadsearrow

nLeftarrow AElig nrcurvearrowsw ntwoheadswarrow

↚ nleftarrow Aacute nrcurvearrowup ntwoheaduparrow

nleftarrowtail nrhookdownarrow nuparrow

nleftleftarrows nrhookleftarrow nUparrow

cent nleftlsquigarrow lt nrhooknearrow nuparrowtail

nleftmapsto = nrhooknwarrow nupdownarrow

↮ nleftrightarrow 8 nrhookrightarrow nUpdownarrow

⇎ nLeftrightarrow nrhooksearrow nupdownarrows

nleftrightarrows gt nrhookswarrow iexcl nuplsquigarrow

ordf nleftrsquigarrow 9 nrhookuparrow ) nupmapsto

3 nlhookdownarrow ↛ nrightarrow copy nuprsquigarrow


79


2 nlhookleftarrow ⇏ nRightarrow nupuparrows

4 nlhooknearrow nrightarrowtail


ugrave ncirclearrowleft (same as nrcirclearrowup)yacute ncirclearrowright (same as nlcirclearrowup)Acirc ncurvearrowleft (same as nrcurvearrowleft)cedil ncurvearrowright (same as nlcurvearrowright)` ndasharrow (same as ndashedrightarrow)b ndashleftarrow (same as ndashedleftarrow)` ndashrightarrow (same as ndashedrightarrow)↚ ngets (same as nleftarrow) nhookleftarrow (same as nrhookleftarrow)0 nhookrightarrow (same as nlhookrightarrow) nleadsto (same as nrightlsquigarrow)deg nleftrightsquigarrow (same as nsquigarrowleftright)( nmapsto (same as nrightmapsto) nrightsquigarrow (same as nrightlsquigarrow)↛ nto (same as nrightarrow)

Table 151 MnSymbol Harpoons

downharpoonccw Z neswharpoons O seharpooncw

downharpooncw V neswharpoonsenw [ senwharpoons

⥯ downupharpoons E nwharpoonccw F swharpoonccw

leftharpoonccw M nwharpooncw N swharpooncw

leftharpooncw S nwseharpoonnesw ^ swneharpoons

⥊ leftrightharpoondownup _ nwseharpoons Q updownharpoonleftright

leftrightharpoons W nwseharpoonswne U updownharpoonrightleft

⥋ leftrightharpoonupdown rightharpoonccw ⥮ updownharpoons

D neharpoonccw rightharpooncw upharpoonccw

L neharpooncw rightleftharpoons upharpooncw

R neswharpoonnwse G seharpoonccw

Where marked the ldquoccwrdquo suffix can be replaced with ldquouprdquo and the ldquocwrdquo suffixcan be replaced with ldquodownrdquo (In addition upharpooncw can be written asrestriction)

80

Table 152 MnSymbol Negated Harpoons

C ndownharpoonccw Z nneswharpoons O nseharpooncw

K ndownharpooncw V nneswharpoonsenw [ nsenwharpoons

] ndownupharpoons E nnwharpoonccw F nswharpoonccw

B nleftharpoonccw M nnwharpooncw N nswharpooncw

J nleftharpooncw S nnwseharpoonnesw ^ nswneharpoons

T nleftrightharpoondownup _ nnwseharpoons Q nupdownharpoonleftright

nleftrightharpoons W nnwseharpoonswne U nupdownharpoonrightleft

P nleftrightharpoonupdown nrightharpoonccw Y nupdownharpoons

D nneharpoonccw H nrightharpooncw A nupharpoonccw

L nneharpooncw X nrightleftharpoons I nupharpooncw

R nneswharpoonnwse G nseharpoonccw

Where marked the ldquoccwrdquo suffix can be replaced with ldquouprdquo and the ldquocwrdquo suffixcan be replaced with ldquodownrdquo (In addition nupharpooncw can be written asnrestriction)

Table 153 fdsymbol Arrows

⟲ acwcirclearrowdown larr leftarrow rightrightarrows

acwcirclearrowleft leftarrowtail rightwavearrow

plusmn acwcirclearrowright leftbkarrow Rrightarrow

reg acwcirclearrowup leftleftarrows Rsh

⤹ acwleftarcarrow leftmapsto searrow

iexcl acwnearcarrow ⤆ Leftmapsto Searrow

cent acwnwarcarrow hArr Leftrightarrow searrowtail

⤺ acwoverarcarrow harr leftrightarrow g sebkarrow

acwrightarcarrow leftrightarrows senwarrows

⤴ acwsearcarrow leftrightwavearrow sesearrows

⤷ acwswarcarrow leftwavearrow Swarrow

⤻ acwunderarcarrow lightning swarrow

yen bdleftarcarrow Lleftarrow amp swarrowtail

laquo bdnearcarrow ⟸ Longleftarrow f swbkarrow

uml bdnwarcarrow ⟵ longleftarrow swnearrows

curren bdoverarcarrow ⟷ longleftrightarrow ~ swswarrows

sect bdrightarcarrow ⟺ Longleftrightarrow twoheaddownarrow

ordf bdsearcarrow ⬳ longleftwavearrow twoheadleftarrow

copy bdswarcarrow ⟽ Longmapsfrom twoheadnearrow

brvbar bdunderarcarrow ⟻ longmapsfrom twoheadnwarrow

⟳ cwcirclearrowdown ⟾ Longmapsto ↠ twoheadrightarrow

micro cwcirclearrowleft ⟼ longmapsto twoheadsearrow

cwcirclearrowright ⟶ longrightarrow twoheadswarrow

acute cwcirclearrowup ⟹ Longrightarrow twoheaduparrow

cwleftarcarrow ⟿ longrightwavearrow uarr uparrow

⤵ cwnearcarrow looparrowleft uArr Uparrow


81


cwnwarcarrow looparrowright uparrowtail

cwoverarcarrow Lsh upbkarrow

⤸ cwrightarcarrow nearrow Updownarrow

⤶ cwsearcarrow Nearrow updownarrow

cwswarcarrow $ nearrowtail updownarrows

cwunderarcarrow d nebkarrow updownwavearrow

⤋ Ddownarrow | nenearrows upmapsto

dArr Downarrow Neswarrow - Upmapsto

darr downarrow ⤡ neswarrow upuparrows

downarrowtail neswarrows upwavearrow

downbkarrow Nwarrow ⤊ Uuparrow

downdownarrows nwarrow vardownwavearrow

Downmapsto nwarrowtail 3 varhookdownarrow

downmapsto e nwbkarrow varhookleftarrow

⇵ downuparrows nwnwarrows ⤤ varhooknearrow

downwavearrow Nwsearrow ⤣ varhooknwarrow

hookdownarrow ⤢ nwsearrow varhookrightarrow

hookleftarrow nwsearrows ⤥ varhooksearrow

⤤ hooknearrow Rdsh ⤦ varhookswarrow

⤣ hooknwarrow rArr Rightarrow 9 varhookuparrow

hookrightarrow rarr rightarrow varleftrightwavearrow

⤥ hooksearrow ↣ rightarrowtail varleftwavearrow

⤦ hookswarrow rightbkarrow varrightwavearrow

1 hookuparrow rightleftarrows varupdownwavearrow

Ldsh ⤇ Rightmapsto varupwavearrow

lArr Leftarrow ↦ rightmapsto


⟲ acwgapcirclearrow leftrightsquigarrow ⤣ rhooknwarrow

acwopencirclearrow leftrsquigarrow rhookrightarrow

circlearrowleft leftsquigarrow ⤥ rhooksearrow

circlearrowright iexcl leftupcurvedarrow ⤦ rhookswarrow

⤺ curvearrowleft 3 lhookdownarrow 9 rhookuparrow

curvearrowright lhookleftarrow rightcurvedarrow

⟳ cwgapcirclearrow ⤤ lhooknearrow ⤷ rightdowncurvedarrow

cwopencirclearrow ⤣ lhooknwarrow rightlcurvearrow

dasharrow lhookrightarrow brvbar rightleftcurvearrow

dashleftarrow ⤥ lhooksearrow rightleftsquigarrow

dashrightarrow ⤦ lhookswarrow rightlsquigarrow

⤸ downlcurvearrow 1 lhookuparrow ⤻ rightrcurvearrow

cent downleftcurvedarrow ⟿ longleadsto rightrsquigarrow

downlsquigarrow ⬳ longleftsquigarrow rightsquigarrow

⤹ downrcurvearrow ⟿ longrightsquigarrow rightupcurvedarrow

⤵ downrightcurvedarrow mapsdown ⤵ selcurvearrow

downrsquigarrow Mapsdown laquo senwcurvearrow

sect downupcurvearrow mapsfrom ⤷ sercurvearrow

downupsquigarrow ⤆ Mapsfrom ⤶ swlcurvearrow

downzigzagarrow ↦ mapsto ordf swnecurvearrow


82


larr gets ⤇ Mapsto cent swrcurvearrow

⤤ hknearrow mapsup rarr to

⤣ hknwarrow - Mapsup yen updowncurvearrow

⤥ hksearrow nelcurvearrow updownsquigarrow

⤦ hkswarrow ⤴ nercurvearrow uplcurvearrow

leadsto uml neswcurvearrow upleftcurvedarrow

leftcurvedarrow nwlcurvearrow uplsquigarrow

⤶ leftdowncurvedarrow iexcl nwrcurvearrow uprcurvearrow

leftlcurvearrow copy nwsecurvearrow ⤴ uprightcurvearrow

leftlsquigarrow rhookdownarrow uprsquigarrow

⤺ leftrcurvearrow rhookleftarrow

curren leftrightcurvearrow ⤤ rhooknearrow

Table 154 fdsymbol Negated Arrows

deg nacwcirclearrowdown ↚ nleftarrow para nRrightarrow

macr nacwcirclearrowleft nLeftarrow nsearrow

plusmn nacwcirclearrowright nleftarrowtail nSearrow

reg nacwcirclearrowup b nleftbkarrow nsearrowtail

nacwleftarcarrow z nleftleftarrows g nsebkarrow

iexcl nacwnearcarrow nleftmapsto nsenwarrows

cent nacwnwarcarrow nLeftmapsto nsesearrows

nacwoverarcarrow ↮ nleftrightarrow nswarrow

nacwrightarcarrow ⇎ nLeftrightarrow nSwarrow

nacwsearcarrow nleftrightarrows amp nswarrowtail

pound nacwswarcarrow nleftrightwavearrow f nswbkarrow

nacwunderarcarrow nleftwavearrow nswnearrows

yen nbdleftarcarrow cedil nLleftarrow ~ nswswarrows

laquo nbdnearcarrow raquo nlongleftarrow ntwoheaddownarrow

uml nbdnwarcarrow frac12 nLongleftarrow ntwoheadleftarrow

curren nbdoverarcarrow frac34 nlongleftrightarrow ntwoheadnearrow

sect nbdrightarcarrow iquest nLongleftrightarrow ntwoheadnwarrow

ordf nbdsearcarrow Aring nlongleftwavearrow ntwoheadrightarrow

copy nbdswarcarrow Aacute nlongmapsfrom ntwoheadsearrow

brvbar nbdunderarcarrow Atilde nLongmapsfrom ntwoheadswarrow

sup2 ncwcirclearrowdown Agrave nlongmapsto ntwoheaduparrow

micro ncwcirclearrowleft Acirc nLongmapsto nuparrow

sup3 ncwcirclearrowright ordm nlongrightarrow nUparrow

acute ncwcirclearrowup frac14 nLongrightarrow nuparrowtail

ncwleftarcarrow Auml nlongrightwavearrow a nupbkarrow

ncwnearcarrow nnearrow nupdownarrow

ncwnwarcarrow nNearrow nUpdownarrow

ncwoverarcarrow $ nnearrowtail nupdownarrows


83


ncwrightarcarrow d nnebkarrow nupdownwavearrow

ncwsearcarrow | nnenearrows ) nupmapsto

ncwswarcarrow nneswarrow - nUpmapsto

ncwunderarcarrow nNeswarrow y nupuparrows

sup1 nDdownarrow nneswarrows nupwavearrow

ndownarrow nnwarrow middot nUuparrow

nDownarrow 13 nNwarrow nvardownwavearrow

ndownarrowtail nnwarrowtail 3 nvarhookdownarrow

c ndownbkarrow e nnwbkarrow 2 nvarhookleftarrow

ndowndownarrows nnwnwarrows 4 nvarhooknearrow

+ ndownmapsto nnwsearrow = nvarhooknwarrow

nDownmapsto nNwsearrow 8 nvarhookrightarrow

ndownuparrows nnwsearrows nvarhooksearrow

ndownwavearrow ↛ nrightarrow 6 nvarhookswarrow

nhookdownarrow ⇏ nRightarrow 9 nvarhookuparrow

nhookleftarrow nrightarrowtail nvarleftrightwavearrow

lt nhooknearrow ` nrightbkarrow nvarleftwavearrow

5 nhooknwarrow nrightleftarrows nvarrightwavearrow

0 nhookrightarrow ( nrightmapsto nvarupdownwavearrow

7 nhooksearrow nRightmapsto nvarupwavearrow

gt nhookswarrow x nrightrightarrows

1 nhookuparrow nrightwavearrow


deg nacwgapcirclearrow nleftdowncurvedarrow nrightcurvedarrow

macr nacwopencirclearrow nleftlcurvearrow pound nrightdowncurvedarrow

macr ncirclearrowleft nleftlsquigarrow nrightlcurvearrow

sup3 ncirclearrowright nleftrcurvearrow brvbar nrightleftcurvearrow

ncurvearrowleft curren nleftrightcurvearrow nrightleftsquigarrow

ncurvearrowright nleftrightsquigarrow nrightlsquigarrow

sup2 ncwgapcirclearrow nleftrsquigarrow nrightrcurvearrow

sup3 ncwopencirclearrow nleftsquigarrow nrightrsquigarrow

` ndasharrow iexcl nleftupcurvedarrow nrightsquigarrow

b ndashleftarrow Auml nlongleadsto nrightupcurvedarrow

` ndashrightarrow Aring nlongleftsquigarrow nselcurvearrow

ndownlcurvearrow Auml nlongrightsquigarrow laquo nsenwcurvearrow

cent ndownleftcurvedarrow + nmapsdown pound nsercurvearrow

ndownlsquigarrow nMapsdown nswlcurvearrow

ndownrcurvearrow nmapsfrom ordf nswnecurvearrow

ndownrightcurvedarrow nMapsfrom cent nswrcurvearrow

ndownrsquigarrow ( nmapsto ↛ nto

sect ndownupcurvearrow nMapsto yen nupdowncurvearrow

ndownupsquigarrow ) nmapsup nupdownsquigarrow

↚ ngets - nMapsup nuplcurvearrow

lt nhknearrow nnelcurvearrow nupleftcurvedarrow

5 nhknwarrow nnercurvearrow nuplsquigarrow

7 nhksearrow uml nneswcurvearrow nuprcurvearrow

gt nhkswarrow nnwlcurvearrow nuprightcurvearrow


84


nleadsto iexcl nnwrcurvearrow nuprsquigarrow

nleftcurvedarrow copy nnwsecurvearrow

Table 155 fdsymbol Harpoons

downharpoonleft Z neswharpoons O seharpoonsw

downharpoonright V neswharpoonsenw [ senwharpoons

⥯ downupharpoons M nwharpoonne N swharpoonnw

leftharpoondown E nwharpoonsw F swharpoonse

leftharpoonup S nwseharpoonnesw ^ swneharpoons

⥊ leftrightharpoondownup _ nwseharpoons ⥍ updownharpoonleftright

leftrightharpoons W nwseharpoonswne ⥌ updownharpoonrightleft

⥋ leftrightharpoonupdown rightharpoondown ⥮ updownharpoons

D neharpoonnw rightharpoonup upharpoonleft

L neharpoonse rightleftharpoons upharpoonright

R neswharpoonnwse G seharpoonne

fdsymbol defines restriction as a synonym for upharpoonrightupdownharpoonsleftright as a synonym for updownharpoons anddownupharpoonsleftright as a synonym for downupharpoons

Table 156 fdsymbol Negated Harpoons

K ndownharpoonleft Z nneswharpoons O nseharpoonsw

C ndownharpoonright V nneswharpoonsenw [ nsenwharpoons

] ndownupharpoons M nnwharpoonne N nswharpoonnw

B nleftharpoondown E nnwharpoonsw F nswharpoonse

J nleftharpoonup S nnwseharpoonnesw ^ nswneharpoons



P nleftrightharpoonupdown H nrightharpoondown Y nupdownharpoons

D nneharpoonnw nrightharpoonup A nupharpoonleft

L nneharpoonse X nrightleftharpoons I nupharpoonright

R nneswharpoonnwse G nseharpoonne

fdsymbol defines nrestriction as a synonym for nupharpoonrightndownupharpoonsleftright as a synonym for ndownupharpoons andnupdownharpoonsleftright as a synonym for nupdownharpoons

85

Table 157 boisik Arrows

barleftarrow Lsh

barleftarrowrightarrowbar mapsdown

13 barovernorthwestarrow agrave Mapsfrom

carriagereturn mapsfrom

pound circlearrowleft aacute Mapsto

cent circlearrowright mapsto

macr cupleftarrow mapsup

Yacute curlyveedownarrow Nearrow

Uuml curlyveeuparrow nearrowcorner

szlig curlywedgedownarrow igrave nnearrow

THORN curlywedgeuparrow icirc nnwarrow

oacute curvearrowbotleft Nwarrow

otilde curvearrowbotleftright nwarrowcorner

ocirc curvearrowbotright rightarrowbar

eth curvearrowleft rightarrowcircle

ograve curvearrowleftright rightarrowtail

ntilde curvearrowright ucirc rightarrowTriangle

oslash dlsh thorn rightarrowtriangle

0 downblackarrow rightblackarrow

downdasharrow rightdasharrow

downdownarrows rightleftarrows

euml downtouparrow rightrightarrows

downwhitearrow rightsquigarrow

downzigzagarrow rightthreearrows

ugrave drsh aelig righttoleftarrow

divide eqleftrightarrow atilde rightwhitearrow

hookleftarrow aring rightwhiteroundarrow

hookrightarrow macr Rrightarrow

leftarrowtail Rsh

uacute leftarrowTriangle Searrow

yacute leftarrowtriangle iacute ssearrow

- leftblackarrow iuml sswarrow

leftdasharrow Swarrow

leftleftarrows twoheaddownarrow

ouml leftrightarroweq twoheadleftarrow

leftrightarrows twoheadrightarrow

uuml leftrightarrowTriangle twoheaduparrow

yuml leftrightarrowtriangle twoheadwhiteuparrow

1 leftrightblackarrow + twoheadwhiteuparrowpedestal

leftrightsquigarrow upblackarrow

leftsquigarrow updasharrow

ccedil lefttorightarrow updownarrowbar

acirc leftwhitearrow 2 updownblackarrow

auml leftwhiteroundarrow updownwhitearrow

leftzigzagarrow ecirc uptodownarrow

linefeed upuparrows

reg Lleftarrow $ upwhitearrow


86


egrave looparrowdownleft amp whitearrowupfrombar

eacute looparrowdownright whitearrowuppedestal

looparrowleft ( whitearrowuppedestalhbar

iexcl looparrowright ) whitearrowuppedestalvbar

Many of these symbols are defined only if the arrows package option is specified

Table 158 boisik Negated Arrows

nHdownarrow deg nLeftrightarroW not nRightarrow

nHuparrow ordf nleftrightarrow nVleftarrow

laquo nLeftarrow shy nLeftrightarrow nVrightarrow

uml nleftarrow copy nrightarrow


Table 159 boisik Harpoons


downharpoonright rightharpoondown upharpoonright

leftharpoondown rightharpoonup

leftharpoonup rightleftharpoons

Table 160 stix Arrows

⥀ acwcirclearrow ⟼ longmapsto

⟲ acwgapcirclearrow ⟾ Longmapsto

⤹ acwleftarcarrow ⟶ longrightarrow

⤺ acwoverarcarrow ⟹ Longrightarrow

⤻ acwunderarcarrow ⟿ longrightsquigarrow

barleftarrow looparrowleft

barleftarrowrightarrowbar looparrowright

⤠ barrightarrowdiamond Lsh

⤒ baruparrow mapsdown

⭁ bsimilarleftarrow ⤆ Mapsfrom

⭇ bsimilarrightarrow mapsfrom

crarr carriagereturn ↦ mapsto

⤿ ccwundercurvearrow ⤇ Mapsto

circlearrowleft mapsup

circlearrowright Nearrow


87


⬰ circleonleftarrow nearrow

⇴ circleonrightarrow ⤱ neovnwarrow

curvearrowleft ⤮ neovsearrow

⤽ curvearrowleftplus ⤢ neswarrow

curvearrowright nwarrow

⤼ curvearrowrightminus Nwarrow

⥁ cwcirclearrow ⤲ nwovnearrow

⟳ cwgapcirclearrow ⤡ nwsearrow

⤸ cwrightarcarrow ⤰ rdiagovsearrow

⤾ cwundercurvearrow Rdsh

⤏ dbkarow rArr Rightarrow

⟱ DDownarrow rarr rightarrow

⤋ Ddownarrow ⥵ rightarrowapprox

⤝ diamondleftarrow ⭈ rightarrowbackapprox

⤟ diamondleftarrowbar rightarrowbar

darr downarrow ⭌ rightarrowbsimilar

dArr Downarrow ⤞ rightarrowdiamond

⤓ downarrowbar ⟴ rightarrowonoplus

⤈ downarrowbarred ⥅ rightarrowplus

downdasharrow ⥂ rightarrowshortleftarrow

downdownarrows ⥴ rightarrowsimilar

⤵ downrightcurvedarrow ↣ rightarrowtail

⇵ downuparrows ⇾ rightarrowtriangle

downwhitearrow ⥇ rightarrowx

downzigzagarrow ⤍ rightbkarrow

draftingarrow ⤳ rightcurvedarrow

⤐ drbkarow rightdasharrow

⭀ equalleftarrow ⤑ rightdotarrow

⥱ equalrightarrow ⤷ rightdowncurvedarrow

⤯ fdiagovnearrow rightleftarrows

⤤ hknearrow rightrightarrows

⤣ hknwarrow rightsquigarrow

⤥ hksearow ⇶ rightthreearrows

⤦ hkswarow rightwavearrow

hookleftarrow rightwhitearrow

hookrightarrow RRightarrow

Ldsh Rrightarrow

larr leftarrow Rsh

lArr Leftarrow searrow

⭊ leftarrowapprox Searrow

⭂ leftarrowbackapprox ⤭ seovnearrow

⭋ leftarrowbsimilar ⥄ shortrightarrowleftarrow

⬲ leftarrowonoplus ⭉ similarleftarrow

⥆ leftarrowplus ⥲ similarrightarrow

⥃ leftarrowshortrightarrow swarrow

⥳ leftarrowsimilar Swarrow

leftarrowtail ⤨ toea

⇽ leftarrowtriangle ⤧ tona

⬾ leftarrowx ⤩ tosa


88


⤌ leftbkarrow ⤪ towa

⬿ leftcurvedarrow twoheaddownarrow

leftdasharrow twoheadleftarrow

⤎ leftdbkarrow ⬻ twoheadleftarrowtail

⬸ leftdotarrow ⬷ twoheadleftdbkarrow

⤶ leftdowncurvedarrow ⬶ twoheadmapsfrom

leftleftarrows ⤅ twoheadmapsto

hArr Leftrightarrow ↠ twoheadrightarrow

harr leftrightarrow ⤖ twoheadrightarrowtail

⥈ leftrightarrowcircle twoheaduparrow

leftrightarrows ⥉ twoheaduparrowcircle

⇿ leftrightarrowtriangle uarr uparrow

leftrightsquigarrow uArr Uparrow

leftsquigarrow ⤉ uparrowbarred

⬱ leftthreearrows updasharrow

leftwavearrow Updownarrow

leftwhitearrow updownarrow

linefeed updownarrowbar

LLeftarrow updownarrows

Lleftarrow ⤴ uprightcurvearrow

⟵ longleftarrow upuparrows

⟸ Longleftarrow upwhitearrow

⟺ Longleftrightarrow ⟰ UUparrow

⟷ longleftrightarrow ⤊ Uuparrow

⬳ longleftsquigarrow varcarriagereturn

⟽ Longmapsfrom whitearrowupfrombar

⟻ longmapsfrom


stix defines acwopencirclearrow as a synonym for circlearrowleftcwopencirclearrow as a synonym for circlearrowright leadsto as a syn-onym for rightsquigarrow dashleftarrow as a synonym for leftdbkarrowand dashrightarrow and dasharrow as synonyms for dbkarow

89

Table 161 stix Negated Arrows

nHdownarrow ⤄ nvLeftrightarrow

nHuparrow ⇻ nVrightarrow

↚ nleftarrowdagger ⤃ nvRightarrow

nLeftarrow ⇸ nvrightarrow

↮ nleftrightarrow ⤕ nVrightarrowtail

⇎ nLeftrightarrow ⤔ nvrightarrowtail

⇏ nRightarrow ⬴ nvtwoheadleftarrow

↛ nrightarrow ⬵ nVtwoheadleftarrow

⇷ nvleftarrow ⬼ nvtwoheadleftarrowtail

⤂ nvLeftarrow ⬽ nVtwoheadleftarrowtail

⇺ nVleftarrow ⤁ nVtwoheadrightarrow

⬺ nVleftarrowtail ⤀ nvtwoheadrightarrow

⬹ nvleftarrowtail ⤗ nvtwoheadrightarrowtail

⇹ nvleftrightarrow ⤘ nVtwoheadrightarrowtail

⇼ nVleftrightarrow


dagger stix defines ngets as a synonym for nleftarrow

Table 162 stix Harpoons

⥡ bardownharpoonleft leftrightharpoons

⥝ bardownharpoonright ⥧ leftrightharpoonsdown

⥖ barleftharpoondown ⥦ leftrightharpoonsup

⥒ barleftharpoonup ⥊ leftrightharpoonupdown

⥟ barrightharpoondown ⥎ leftrightharpoonupup

⥛ barrightharpoonup rightharpoondown

⥘ barupharpoonleft ⥗ rightharpoondownbar

⥔ barupharpoonright ⥤ rightharpoonsupdown

⥫ dashleftharpoondown rightharpoonup

⥭ dashrightharpoondown ⥓ rightharpoonupbar

downharpoonleft ⥬ rightharpoonupdash

⥙ downharpoonleftbar rightleftharpoons

downharpoonright ⥩ rightleftharpoonsdown

⥕ downharpoonrightbar ⥨ rightleftharpoonsup

⥥ downharpoonsleftright ⥑ updownharpoonleftleft

⥯ downupharpoonsleftright ⥍ updownharpoonleftright

leftharpoondown ⥌ updownharpoonrightleft

⥞ leftharpoondownbar ⥏ updownharpoonrightright

⥢ leftharpoonsupdown ⥮ updownharpoonsleftright

leftharpoonup upharpoonleft

⥚ leftharpoonupbar ⥠ upharpoonleftbar

⥪ leftharpoonupdash upharpoonright


90


⥐ leftrightharpoondowndown ⥜ upharpoonrightbar

⥋ leftrightharpoondownup ⥣ upharpoonsleftright

stix defines restriction as a synonym for upharpoonright

Table 163 harpoon Extensible Harpoons

119886119887119888 overleftharpabc119886119887119888 overrightharpdownabc 119886119887119888 underrightharpabc

119886119887119888 overleftharpdownabc 119886119887119888 underleftharpabc 119886119887119888 underrightharpdownabc

119886119887119888 overrightharpabc 119886119887119888 underleftharpdownabc

All of the harpoon symbols are implemented using the graphics package (specifi-cally graphicsrsquos resizebox command) Consequently only TEX backends thatsupport graphical transformations (eg not Xdvi) can properly display thesesymbols

Table 164 chemarrow Arrows

A chemarrow

Table 165 fge Arrows

fgerightarrow fgeuparrow

91

Table 166 old-arrows Arrows

darr downarrow larrrarr longleftrightarrow nwarrow

larr˒ hookleftarrow larrminus[ longmapsfrom rarr rightarrow

rarr˓ hookrightarrow ↦minusrarr longmapsto searrow

larr leftarrow minusrarr longrightarrow swarrow

harr leftrightarrow larr[ mapsfrom uarr uparrow

minus˓rarr longhookrightarrow ↦rarr mapsto updownarrow

larrminus longleftarrow nearrow

The arrows provided by old-arrows represent Donald Knuthrsquos pre-1992 ComputerModern glyphs which feature smaller arrowheads Contrast the following

rarr vs rarrdefault old-arrows

In addition to the arrows shown above old-arrows also reduces the arrowheadsize for 119964ℳ119982rsquos overleftarrow overrightarrow overleftrightarrowunderleftarrow underrightarrow underleftrightarrow xleftarrowxrightarrow varinjlim and varprojlim symbols (Table 240 onpage 112 Table 256 on page 116 and Table 182 on page 96) and mathtoolsrsquosxleftrightarrow xhookleftarrow xhookrightarrow and xmapsto sym-bols (Table 257 on page 116)

With the new package option old-arrows prefixes all of the above with ldquovarrdquo(ie vardownarrow varhookleftarrow etc) so both old and new glyphscan be used in the same document See the old-arrows documentation for moreinformation

Requires stmaryrd

Table 167 old-arrows Harpoons

minus longleftharpoondown minus longrightharpoondown

minus longleftharpoonup minus longrightharpoonup

Unlike the symbols shown in Table 166 the new package option does not define avar version of the symbols in this table Also unlike the symbols shown in Ta-ble 166 the harpoon arrowheads in this table are not reduced in size (ie relativeto the size of those shown in Table 139 on page 75)

Table 168 esrelation Restrictions

permil restrictbarb rdquo restrictmallet restrictwand

) restrictbarbup restrictmalletup ( restrictwandup

92

Table 169 MnSymbol Spoons

s downfilledspoon l nnespoon u nwfilledspoon

⫰ downspoon u nnwfilledspoon m nwspoon

r leftfilledspoon m nnwspoon p rightfilledspoon

⟜ leftspoon p nrightfilledspoon ⊸ rightspoon

s ndownfilledspoon h nrightspoon w sefilledspoon

k ndownspoon w nsefilledspoon o sespoon

t nefilledspoon o nsespoon v swfilledspoon

l nespoon v nswfilledspoon n swspoon

r nleftfilledspoon n nswspoon q upfilledspoon

j nleftspoon q nupfilledspoon ⫯ upspoon

t nnefilledspoon i nupspoon

MnSymbol defines multimap as a synonym for rightspoon and nmultimap asa synonym for nrightspoon

Table 170 MnSymbol Pitchforks

⫛ downpitchfork nnwpitchfork rightpitchfork

leftpitchfork nrightpitchfork sepitchfork

ndownpitchfork nsepitchfork swpitchfork

nepitchfork nswpitchfork ⋔ uppitchfork

nleftpitchfork nuppitchfork

nnepitchfork nwpitchfork

MnSymbol defines pitchfork as a synonym for uppitchfork and npitchfork

as a synonym for nuppitchfork

93

Table 171 MnSymbol Smiles and Frowns

doublefrown nsmileeq smileeq

doublefrowneq nsmileeqfrown amp smileeqfrown

doublesmile ≭ nsmilefrown ≍ smilefrown

$ doublesmileeq nsmilefrowneq ( smilefrowneq

eqfrown yen nsqdoublefrown - sqdoublefrown

eqsmile macr nsqdoublefrowneq 7 sqdoublefrowneq

frown curren nsqdoublesmile sqdoublesmile

frowneq reg nsqdoublesmileeq 6 sqdoublesmileeq

frowneqsmile shy nsqeqfrown 5 sqeqfrown

frownsmile not nsqeqsmile 4 sqeqsmile

) frownsmileeq pound nsqfrown + sqfrown

ndoublefrown laquo nsqfrowneq 3 sqfrowneq

ndoublefrowneq plusmn nsqfrowneqsmile 9 sqfrowneqsmile

ndoublesmile copy nsqfrownsmile 1 sqfrownsmile

ndoublesmileeq cent nsqsmile sqsmile

neqfrown ordf nsqsmileeq 2 sqsmileeq

neqsmile deg nsqsmileeqfrown 8 sqsmileeqfrown

nfrown uml nsqsmilefrown 0 sqsmilefrown

nfrowneq sect nsqtriplefrown sqtriplefrown

nfrowneqsmile brvbar nsqtriplesmile sqtriplesmile

nfrownsmile ntriplefrown triplefrown

iexcl nfrownsmileeq ntriplesmile triplesmile

nsmile smile

MnSymbol defines smallsmile as a synonym for smile smallfrown as asynonym for frown asymp as a synonym for smilefrown and nasymp as asynonym for nsmilefrown

Table 172 fdsymbol Spoons

⊷ blackwhitespoon o ndownblackspoon m nupblackspoon

o downblackspoon k ndownspoon i nupspoon

⫰ downspoon n nleftblackspoon s nwhiteblackspoon

n leftblackspoon q nleftrightblackspoon l rightblackspoon

q leftrightblackspoon p nleftrightspoon ⊸ rightspoon

⧟ leftrightspoon j nleftspoon m upblackspoon

⟜ leftspoon l nrightblackspoon ⫯ upspoon

r nblackwhitespoon h nrightspoon ⊶ whiteblackspoon


⫯ cirmid ⟜ multimapinv h nmultimap

⧟ dualmap i ncirmid j nmultimapinv

⊷ imageof p ndualmap s norigof

⫰ midcir r nimageof ⊶ origof

⊸ multimap k nmidcir

94

Table 173 fdsymbol Pitchforks

w downpitchfork v nleftpitchfork t rightpitchfork

v leftpitchfork t nrightpitchfork ⋔ uppitchfork

w ndownpitchfork u nuppitchfork

fdsymbol defines npitchfork as a synonym for nuppitchfork and pitchfork

as a synonym for uppitchfork

Table 174 fdsymbol Smiles and Frowns

frown nfrowneq ≭ nsmilefrown

≘ frowneq nfrownsmile smile

frownsmile ~ nsmile smileeq

nfrown nsmileeq ≍ smilefrown

fdsymbol defines arceq as a synonym for frowneq asymp as a synonym forsmilefrown closure as a synonym for frownsmile narceq as a syn-onym for nfrowneq nasymp as a synonym for nsmilefrown nclosure

as a synonym for nfrownsmile smallfrown as a synonym for frown andsmallsmile as a synonym for smile

Table 175 ulsy Contradiction Symbols

blitza blitzb blitzc blitzd 13 blitze

Table 176 Extension Characters

minus relbar = Relbar

Table 177 stmaryrd Extension Characters

Y Arrownot Mapsfromchar Mapstochar

X arrownot [ mapsfromchar

Table 178 txfontspxfonts Extension Characters

Mappedfromchar Mmappedfromchar Mmapstochar

mappedfromchar mmappedfromchar mmapstochar

Table 179 mathabx Extension Characters

szlig mapsfromchar THORN mapstochar

ucirc Mapsfromchar uacute Mapstochar

95

Table 180 stix Extension Characters

lhook larr relbar RRelbar

mapsfromchar lArr Relbar Rrelbar

mapstochar rhook

Table 181 Log-like Symbols

arccos cos csc exp ker limsup min sinh

arcsin cosh deg gcd lg ln Pr sup

arctan cot det hom lim log sec tan

arg coth dim inf liminf max sin tanh

Calling the above ldquosymbolsrdquo may be a bit misleading3 Each log-like symbolmerely produces the eponymous textual equivalent but with proper surroundingspacing See Section 104 for more information about log-like symbols As bmodand pmod are arguably not symbols we refer the reader to the Short Math Guidefor LATEX [Dow00] for samples

Table 182 119964ℳ119982 Log-like Symbols

inj lim injlim limminusrarr varinjlim lim varlimsup

proj lim projlim lim varliminf limlarrminus varprojlim

Load the amsmath package to get these symbols See Section 104 for some ad-ditional comments regarding log-like symbols As mod and pod are arguablynot symbols we refer the reader to the Short Math Guide for LATEX [Dow00] forsamples

Table 183 ChinA2e Number Sets

Atilde Complex Uacute Integer Icirc Natural Ntilde Rational Ograve Real

raquo COMPLEX iquest INTEGER frac14 NATURAL frac12 RATIONAL frac34 REAL

3Michael J Downes prefers the more general term ldquoatomic math objectsrdquo

96

Table 184 Greek Letters

120572 alpha 120579 theta 119900 o 120591 tau

120573 beta 120599 vartheta 120587 pi 120592 upsilon

120574 gamma 120580 iota 120603 varpi 120593 phi

120575 delta 120581 kappa 120588 rho 120601 varphi

120598 epsilon 120582 lambda 120602 varrho 120594 chi

120576 varepsilon 120583 mu 120590 sigma 120595 psi

120577 zeta 120584 nu 120589 varsigma 120596 omega

120578 eta 120585 xi

Γ Gamma Λ Lambda Σ Sigma Ψ Psi

Δ Delta Ξ Xi ϒ Upsilon Ω Omega

Θ Theta Π Pi Φ Phi

The remaining Greek majuscules can be produced with ordinary Latin lettersThe symbol ldquoMrdquo for instance is used for both an uppercase ldquomrdquo and an uppercaseldquo120583rdquo To make available commands for all of the Greek majuscules either use themathspec package which requires X ELATEX or copy mathspecstyrsquos Greek-letterdefinitions to your documentrsquos preamble

DeclareMathSymbolAlphamathalphaoperators41

DeclareMathSymbolBetamathalphaoperators42

DeclareMathSymbolEpsilonmathalphaoperators45

DeclareMathSymbolZetamathalphaoperators5A

DeclareMathSymbolEtamathalphaoperators48

DeclareMathSymbolIotamathalphaoperators49

DeclareMathSymbolKappamathalphaoperators4B

DeclareMathSymbolMumathalphaoperators4D

DeclareMathSymbolNumathalphaoperators4E

DeclareMathSymbolOmicronmathalphaoperators4F

DeclareMathSymbolRhomathalphaoperators50

DeclareMathSymbolTaumathalphaoperators54

DeclareMathSymbolChimathalphaoperators58

DeclareMathSymbolomicronmathordletters6F

See Section 105 for examples of how to produce bold Greek letters

The symbols in this table are intended to be used in mathematical typesettingGreek body text can be typeset using the babel packagersquos greek (or polutoniko-greek) optionmdashand of course a font that provides the glyphs for the Greek al-phabet

Table 185 119964ℳ119982 Greek Letters

z digamma κ varkappa

97

Table 186 txfontspxfonts Upright Greek Letters

α alphaup θ thetaup π piup φ phiup

β betaup ϑ varthetaup $ varpiup ϕ varphiup

γ gammaup ι iotaup ρ rhoup χ chiup

δ deltaup κ kappaup varrhoup ψ psiup

ε epsilonup λ lambdaup σ sigmaup ω omegaup

ε varepsilonup micro muup ς varsigmaup

ζ zetaup ν nuup τ tauup

η etaup ξ xiup υ upsilonup

The symbols in this table are intended to be used sporadically throughout adocument (eg to represent mathematical units or numerical quantitiesmdashldquoπ asymp314159rdquo) In contrast Greek body text can be typeset using the babel packagersquosgreek (or polutonikogreek) optionmdashand of course a font that provides the glyphsfor the Greek alphabet

Table 187 upgreek Upright Greek Letters

α upalpha θ uptheta π uppi φ upphi

β upbeta ϑ upvartheta $ upvarpi ϕ upvarphi

γ upgamma ι upiota ρ uprho χ upchi

δ updelta κ upkappa ρ upvarrho ψ uppsi

ε upepsilon λ uplambda σ upsigma ω upomega

ε upvarepsilon micro upmu σ upvarsigma

ζ upzeta ν upnu τ uptau

η upeta ξ upxi υ upupsilon

Γ Upgamma Λ Uplambda Σ Upsigma Ψ Uppsi

∆ Updelta Ξ Upxi Υ Upupsilon Ω Upomega

Θ Uptheta Π Uppi Φ Upphi

upgreek utilizes upright Greek characters from either Euler Roman (depictedabove) or the PostScript Symbol font As a result the glyphs may appearslightly different from the above Contrast for example ldquoΓ∆Θαβγrdquo (Euler) withldquoΓ∆Θαβγrdquo (Symbol) Also note that the var forms do not always produce adistinct glyph

Unlike textgreek (Table 6 on page 16) upgreek works in math mode


Table 188 fourier Variant Greek Letters

π pi ρ rho

$ varpi varrho

Egrave varvarpi AElig varvarrho

98

Table 189 txfontspxfonts Variant Latin Letters

1 varg 3 varv 4 varw 2 vary

Pass the varg option to txfontspxfonts to replace g v w and y with 1 3 4 and 2in every mathematical expression in your document

Table 190 boisik Variant Greek Letters

varbeta varkappa $ varpi amp varsigma

varepsilon varphi varrho vartheta

Table 191 boisik Variant Latin Letters

varg

Table 192 stix Variant Greek Letters


z varkappa $ varpi amp varsigma

Table 193 stix Transformed Greek Letters

϶ backepsilon turnediota

mho ϶ upbackepsilon

Table 194 119964ℳ119982 Hebrew Letters

i beth ג gimel k daleth

aleph (alefsym) appears in Table 294 on page 124

Table 195 MnSymbol Hebrew Letters

alefsym aleph ℶ beth ℷ gimel ℸ daleth

Table 196 fdsymbol Hebrew Letters


99

Table 197 boisik Hebrew Letters

oslash beth ugrave gimel uacute daleth

Table 198 stix Hebrew Letters


Table 199 Letter-like Symbols

perp bot forall forall 120484 imath ni ni ⊤ top

ℓ ell ~ hbar isin in 120597 partial weierp wp

exist exists image Im 120485 jmath real Re

Table 200 119964ℳ119982 Letter-like Symbols

k Bbbk complement ~ hbar

r circledR ` Finv hslash

s circledS a Game nexists

Table 201 txfontspxfonts Letter-like Symbols

cent mathcent pound mathsterling lt notin = notni


Table 202 mathabx Letter-like Symbols

V barin P in L nottop T varnotin

A complement E nexists Q owns U varnotowner

D exists M notbot W ownsbar

F Finv R notin B partial

G Game S notowner C partialslash

Table 203 MnSymbol Letter-like Symbols

bot isin in ∌ nowns ⊺ top

exist exists ∄ nexists ni owns weierp wp

forall forall notin nin weierp powerset

MnSymbol provides synonyms notin for nin ni for owns and intercal

for top

100

Table 204 fdsymbol Letter-like Symbols

perp bot forall forall isin in ni owns

∁ complement ⅁ Game ∄ nexists ⊤ top

exist exists h hbar notin nin weierp wp

Ⅎ Finv h hslash ∌ nowns

fdsymbol provides synonyms notin for nin ni for owns and nni for nowns

Table 205 boisik Letter-like Symbols

k Bbbk uuml Game imath acirc nexists

yacute complement hbar thorn intercal wp

ucirc Finv hslash | jmath

Table 206 stix Letter-like Symbols

Å Angstrom ℇ Eulerconst imath ⊤ top

k Bbbk exist exists ⊺ intercal topbot

perp bot Ⅎ Finv | jmath weierp wp

circledR forall forall $ mathdollar ⅄ Yup

circledS ⅁ Game para mathparagraph Ƶ Zbar

∁ complement ℏ hbar pound mathsterling

ϝ digamma ℏ hslash ∄ nexists

l ell image Im real Re

Table 207 trfsigns Letter-like Symbols

e e j im

Table 208 mathdesign Letter-like Symbols

isin in 3 owns

6isin notin smallin

notsmallin smallowns

notsmallowns

The mathdesign package additionally provides versions of each of the letter-likesymbols shown in Table 200 on the previous page

101

Table 209 fge Letter-like Symbols

A fgeA ı fgeeszett D fgeleftB U fgeU

c fgec F fgeF C fgeleftC

p fged f fgef B fgerightB

e fgee rdquo fgelb s fges

The fge package defines fgeeta fgeN and fgeoverU as synonyms for fgelb

Table 210 fourier Letter-like Symbols

part partial Ccedil varpartialdiff

Table 211 cmll Letter-like Symbols

sbquo Bot lsaquo simbot

Table 212 119964ℳ119982 Delimiters

p ulcorner q urcorner

x llcorner y lrcorner

Table 213 stmaryrd Delimiters

P Lbag Q Rbag N lbag O rbag

V llceil W rrceil T llfloor U rrfloor

L llparenthesis M rrparenthesis

Table 214 mathabx Delimiters

v lcorners w rcorners

x ulcorner y urcorner

z llcorner lrcorner

Table 215 boisik Delimiters

Oslash ulcorner Ugrave urcorner

agrave llcorner aacute lrcorner

102

Table 216 stix Delimiters

⦑ langledot ⦒ rangledot ⦉ llangle ⦊ rrangle

⟅ lbag ⟆ rbag llcorner lrcorner

⦗ lblkbrbrak ⦘ rblkbrbrak ⦇ llparenthesis ⦈ rrparenthesis

⦏ lbracklltick ⦐ rbrackurtick ⦕ Lparengtr ⦖ Rparenless

⦋ lbrackubar ⦌ rbrackubar ⦓ lparenless ⦔ rparengtr

⦍ lbrackultick ⦎ rbracklrtick ⧘ lvzigzag ⧙ rvzigzag

⟬ Lbrbrak ⟭ Rbrbrak ⧚ Lvzigzag ⧛ Rvzigzag

⧼ lcurvyangle ⧽ rcurvyangle ulcorner urcorner

Table 217 nath Delimiters

niv vin

Table 218 Variable-sized Delimiters

darr⎮⎮ downarrow dArr

dArr Downarrow [[

[ ]]

]

⟨⟨

langle ⟩⟩

rangle |

|

|

lceillceil

lceil rceilrceil

rceil uarr⎮⎮ uparrow uArr

uArrUparrow

lfloorlfloor

lfloor rfloorrfloor

rfloor ⎮ updownarrow

uArrdArr Updownarrow

((

( ))

)

⧸

∖

backslash

When used with left and right these symbols expand to the height of theenclosed math expression Note that vert is a synonym for | and Vert is asynonym for |

120576-TEX provides a middle analogue to left and right middle can be usedfor example to make an internal ldquo|rdquo expand to the height of the surroundingleft and right symbols (This capability is commonly needed when typeset-ting adjacent bras and kets in Dirac notation ldquo⟨120593|120595⟩rdquo) A similar effect can beachieved in conventional LATEX using the braket package

103

Table 219 Large Variable-sized Delimiters⎧⎭ ⎧⎪⎪⎪⎪⎭ lmoustache⎫⎩ ⎫⎪⎪⎪⎪⎩ rmoustache

⎧⎩ ⎧⎪⎪⎪⎪⎩ lgroup⎫⎭ ⎫⎪⎪⎪⎪⎭ rgroup

⎮⎮ ⎮⎮⎮⎮⎮ arrowvert

Arrowvert⎪⎪⎪⎪ ⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪ bracevert

These symbols must be used with left and right The mathabx packagehowever redefines lgroup and rgroup so that those symbols can work withoutleft and right

Table 220 119964ℳ119982 Variable-sized Delimiters

|

lvert |

rvert

lVert

rVert

According to the amsmath documentation [AMS99] the preceding symbols areintended to be used as delimiters (eg as in ldquo|minus119911|rdquo) while the vert and Vert

symbols (Table 218 on the previous page) are intended to be used as operators(eg as in ldquo119901|119902rdquo)

Table 221 stmaryrd Variable-sized Delimiters

~

llbracket

rrbracket

Table 222 mathabx Variable-sized Delimiters

v

1

ldbrack w

9

rdbrack

7

7

7

7

7

lfilet

rfilet

~

ffl

ffl

fflthickvert ~

vvvert

104

Table 223 MnSymbol Variable-sized Delimiters

XXXXXXXXX Arrowvert

⎧⎪⎪⎨⎪⎩lbrace rceil

⎤⎥⎥⎥⎥⎥rceil

RRRRRRRRR arrowvert lceil

⎡⎢⎢⎢⎢⎢lceil rfloor

⎥⎥⎥⎥⎥⎦rfloor

backslash lfloor⎢⎢⎢⎢⎢⎣

lfloor⎫⎪⎭

⎫⎪⎪⎪⎪⎭ rgroup

⎪⎪⎪⎪⎪⎪⎪⎪⎪ bracevert

⎧⎪⎩⎧⎪⎪⎪⎪⎩ lgroup

⎫⎪⎩⎫⎪⎪⎪⎪⎩ rmoustache

[⎡⎢⎢⎢⎢⎣

[ ⟪ ⟪ llangle ⟫ ⟫ rrangle

]⎤⎥⎥⎥⎥⎦

] llcorner ⟧MQQQQO

rsem

( ( (⎧⎪⎭

⎧⎪⎪⎪⎪⎭ lmoustache___

______rWavy

) ) ) lrcorner^ ^

^ rwavy

⟦LPPPPN

lsem ulcorner

⟨ ⟨ lt^ ^

^ lwavy 3 6 ullcorner

⟩ ⟩ gt___

______lWavy 8 ulrcorner

∣RRRRRR | ⟩ ⟩ rangle urcorner

⟨ ⟨ langle p s ranglebar ∥XXXXXX |

k n langlebar ⎫⎪⎪⎬⎪⎭

rbrace

vert is a synonym for | Vert is a synonym for | mid and mvert producethe same symbol as vert but designated as math relations instead of ordinalsdivides produces the same symbol as vert but designated as a binary operatorinstead of an ordinal parallel and mVert produce the same symbol as Vertbut designated as math relations instead of ordinals

105

Table 224 fdsymbol Variable-sized Delimiters

backslash lrcorner ) ) rparen

darr

EgraveEgraveEgraveEgraveEgravedarr downarrow ∣∣∣∣∣∣∣ lvert ∣

∣∣∣∣∣∣ rvert

dArr

EumlEumlEumlEumlEumldArr Downarrow ∥∥∥∥∥∥∥ lVert ∥

∥∥∥∥∥∥ rVert

⟪ ⟪ lAngle ⦀AringAringAringAringAringAring lVvert ⦀

AringAringAringAringAringAring rVvert

⟨ ⟨ langle mathslash ulcorner

⦑ ⦑ langledot ⟩ ⟩ rangle N S ullcorner

lbrace ⟫ ⟫ rAngle T Y ulrcorner

[ [ lbrack ⦒ ⦒ rangledot uarr

uarrEgraveEgraveEgraveEgraveEgrave uparrow

⟦ ⟦ lBrack rbrace uArr

uArrEumlEumlEumlEumlEuml Uparrow

lceil lceil lceil ⟧ ⟧ rBrack

uarrEgraveEgraveEgraveEgravedarr updownarrow

lfloor lfloor lfloor ] ] rbrack

uArrEumlEumlEumlEumldArr Updownarrow

⎧⎪⎩⎧⎪⎪⎪⎪⎩ lgroup rceil rceil rceil urcorner

llcorner rfloor rfloor rfloor ∣∣∣∣∣∣∣ vert

⎧⎪⎭⎧⎪⎪⎪⎪⎭ lmoustache

⎫⎪⎭⎫⎪⎪⎪⎪⎭ rgroup ∥

∥∥∥∥∥∥ Vert


106


( ( lparen⎫⎪⎩

⎫⎪⎪⎪⎪⎩ rmoustache ⦀AringAringAringAringAringAring Vvert

fdsymbol defines ldquo(rdquo as a synonym for lparen ldquo)rdquo as a synonym for rparenldquo[rdquo as a synonym for lbrack ldquo]rdquo as a synonym for rbrack ldquordquo as a synonymfor lbrace ldquordquo as a synonym for rbrace ldquordquo as a synonym for mathslashldquo|rdquo as a synonym for vert ldquo|rdquo as a synonym for Vert lsem as a synonymfor lBrack and rsem as a synonym for rBrack

Table 225 stix Variable-sized Delimiters

uArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArr

Arrowvert ⟪

⟪

lAngle rceil

rceil

rceil

arrowvert

lbrace rfloor

rfloor

rfloor

∖

backslash ⦃

⦃

lBrace ⟯

⎧

⎪

⎩

rgroup

⤋⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤋

Ddownarrow ⟦

⟦

lBrack ⎱

⎫

⎪

⎩

rmoustache

⟱⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟱

DDownarrow ❲

❲

lbrbrak ⦆

⦆

rParen

darrdarr

downarrow lceil

lceil

lceil uarruarr

uparrow

dArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArrdArr

Downarrow lfloor

lfloor

lfloor uArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArr

Uparrow

[

[

[ ⟮

⎫

⎪

⎭

lgroup uArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArrdArr

Updownarrow

]

]

] ⎰

⎧

⎪

⎭

lmoustache uarrdarr

updownarrow



(

(

( ⦅

⦅

lParen ⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊

Uuparrow

)

)

) ⟫

⟫

rAngle ⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰

UUparrow

∕

⟩

⟩

rangle

Vert

⟨

⟨

lt

rbrace |

|

|

|

|

|

|

vert

⟩

⟩

gt ⦄

⦄

rBrace ⦀

⦀

⦀

⦀

⦀

⦀

⦀

Vvert

|

|

|

|

|

|

|

| ⟧

⟧

rBrack

⟨

⟨

langle ❳

❳

rbrbrak

Table 226 mathdesign Variable-sized Delimiters

ETH

ETH

ETH

ETH

ETH

leftwave ETH

ETH

ETH

ETH

ETH

rightwave

Ntilde

Ntilde

Ntilde

Ntilde

Ntilde

leftevaw Ntilde

Ntilde

Ntilde

Ntilde

Ntilde

rightevaw

The definitions of these symbols include a preceding left or right It istherefore an error to specify left or right explicitly The internal ldquoprimitiverdquoversions of these symbols are called lwave rwave levaw and revaw

108

Table 227 nath Variable-sized Delimiters (Double)

⟨⟨⟨⟨

lAngle ⟩⟩⟩⟩

rAngle

[[[[

lBrack ]]]]

rBrack

lceillceillceillceil

lCeil rceilrceilrceilrceil

rCeil

lfloorlfloorlfloorlfloor

lFloor rfloorrfloorrfloorrfloor

rFloor

||

lVert ||

rVert

nath redefines all of the above to include implicit left and right commandsHence separate lVert and rVert commands are needed to disambiguatewhether ldquo|rdquo is a left or right delimiter

All of the symbols in Table 227 can also be expressed using the double macroSee the nath documentation for examples and additional information

Table 228 nath Variable-sized Delimiters (Triple)

⟨⟨⟨⟨⟨⟨

triplelt ⟩⟩⟩⟩⟩⟩

triplegt

[[[[[[

triple[ ]]]]]]

triple]

|||

ltriple| |||

rtriple|

Similar to lVert and rVert in Table 227 ltriple and rtriple must beused instead of triple to disambiguate whether ldquo|rdquo is a left or right delimiter

Note that triplemdashand the corresponding doublemdashis actually a macro thattakes a delimiter as an argument

Table 229 fourier Variable-sized Delimiters

llbracket

rrbracket

VERT

109

Table 230 textcomp Text-mode Delimiters

lang textlangle rang textrangle

〚 textlbrackdbl 〛 textrbrackdbl

⁅ textlquill ⁆ textrquill

Table 231 metre Text-mode Delimiters

alad Alad dagger crux dagger Crux

alas Alas ]] quadrad ]] Quadrad⟩ angud ⟩ Angud [[ quadras [[ Quadras⟨ angus ⟨ Angus

Table 232 Math-mode Accents

acutea checka gravea tildea

bara ddota hata veca

brevea dota mathringa

Note also the existence of imath and jmath which produce dotless versions ofldquoirdquo and ldquojrdquo (See Table 294 on page 124) These are useful when the accent issupposed to replace the dot For example ldquohatimathrdquo produces a correctldquo rdquo while ldquohatirdquo would yield the rather odd-looking ldquo rdquo

The overline command (Table 240 on page 112) produces a wider accent thanbar ldquo119860rdquo vs ldquo119860rdquo However unlike adjacent bars adjacent overlines runtogether which is often not desired ldquo119860119861rdquo vs ldquo119860rdquo If wider bars than bar areneeded the following code from Enrico Gregorio can be used to add the requisiteinter-symbol spacing [Gre09]

newcommandclosure[2][3]

mkern1muoverlinemkern-1mu2

With that definition ldquoclosureAclosureBrdquo produces ldquo119860119861rdquo with a visiblegap between the two accents The optional argument can be used to fine-tunethe spacing

Table 233 119964ℳ119982 Math-mode Accents119886 dddota

119886 ddddota

These accents are also provided by the mathabx and accents packages and areredefined by the mathdots package if the amsmath and amssymb packages havepreviously been loaded All of the variations except for the original 119964ℳ119982 onestighten the space between the dots (from

119886 to ˙119886) The mathabx and mathdots

versions also function properly within subscripts and superscripts (119909˙119886 insteadof 119909

119886 )

110

Table 234 MnSymbol Math-mode Accents

a veca

Table 235 fdsymbol Math-mode Accents

a middlebara a strokethrougha

a middleslasha a veca

middlebar and middleslash are applied here to ldquo119886rdquo for consistency with therest of the document but they generally look better when applied to taller low-ercase characters

Table 236 boisik Math-mode Accents

a veca

Table 237 stix Math-mode Accents

a acutea a hata

a annuitya a leftarrowaccenta

a asteraccenta a leftharpoonaccenta

a bara a leftrightarrowaccenta

a brevea a mathringa

a candraa a ocommatoprighta

a checka a oturnedcommaa

a ddddota a ovhooka

a dddota a rightharpoonaccenta

a ddota a tildea

a dota a veca

a droanga a widebridgeabovea

a gravea

Table 238 fge Math-mode Accents

Andash

andash spirituslenisAspirituslenisa

When fge is passed the crescent option spirituslenis instead uses a crescentaccent as in ldquo amdash rdquo

111

Table 239 yhmath Math-mode Accents

ringa

This symbol is largely obsolete as standard LATEX 2120576 has supported mathring

(Table 232 on page 110) since June 1998 [LAT98]

Table 240 Extensible Accents119886119887119888 widetildeabc 119886119887119888 widehatabc

larrminus119886119887119888 overleftarrowabcdagger

minusrarr119886119887119888 overrightarrowabcdagger

119886119887119888 overlineabc 119886119887119888 underlineabc⏞ ⏟ 119886119887119888 overbraceabc 119886119887119888⏟ ⏞ underbraceabc

radic119886119887119888 sqrtabcDagger

As demonstrated in a 1997 TUGboat article about typesetting long-division prob-lems [Gib97] an extensible long-division sign (ldquo )119886119887119888 rdquo) can be faked by puttinga ldquobig)rdquo in a tabular environment with an hline or cline in the precedingrow The article also presents a piece of code (uploaded to CTAN as longdivtex)that automatically solves and typesetsmdashby putting an overline atop ldquobig)rdquoand the desired textmdashlong-division problems More recently the STIX fonts in-clude a true long-division sign See longdivision in Table 246 for a sampleof this symbol See also the polynom package which automatically solves andtypesets polynomial-division problems in a similar manner

These symbols are made more extensible by the MnSymbol package (Table 244 onthe following page) and even more extensible by the yhmath package (Table 242on the following page)

dagger If yoursquore looking for an extensible diagonal line or arrow to be used for canceling or

reducing mathematical subexpressions (eg ldquo119909+minus119909rdquo or ldquo

53 + 2 rdquo) then consider

using the cancel package

Dagger With an optional argument sqrt typesets nth roots For exampleldquosqrt[3]abcrdquo produces ldquo3

radic119886119887119888 rdquo and ldquosqrt[n]abcrdquo produces ldquo 119899

radic119886119887119888 rdquo

Table 241 overrightarrow Extensible Accents=rArr119886119887119888 Overrightarrowabc

112

Table 242 yhmath Extensible Accentsrdquo119886119887119888 widehatabc rsaquo119886119887119888 widetildeabc

119886119887119888 wideparenabc Egrave119886119887119888 widetriangleabc

˚119886119887119888 wideringabc

Table 243 119964ℳ119982 Extensible Accents

larrrarr119886119887119888 overleftrightarrowabc 119886119887119888larrrarr underleftrightarrowabc

119886119887119888larrminus underleftarrowabc 119886119887119888minusrarr underrightarrowabc

Table 244 MnSymbol Extensible Accents

abclaquo

overbraceabc 119886119887119888acutesup1sup1sup1 sup1sup1sup1para undergroupabc

sup3sup1sup1sup1 sup1sup1sup1micro119886119887119888 overgroupabc 119886119887119888zx underlinesegmentabc

ETH119886119887119888 overleftharpoonabc abc widehatabc

zx119886119887119888 overlinesegmentabc abcIacute wideparenabc

ETH119886119887119888 overrightharpoonabc abc widetildeabc

abcdeg underbraceabc

Table 245 fdsymbol Extensible Accents

Igrave OgraveOgraveETHOgraveOgraveOgraveIcirc119886119887119888 overbraceabc 119886119887119888Iacute OgraveOgraveOgraveOgraveOgraveOgrave OgraveOgraveOgraveOgraveOgraveOgraveOgraveIuml undergroupabc

Igrave OgraveOgraveOgraveOgraveOgraveOgrave OgraveOgraveOgraveOgraveOgraveOgraveOgraveIcirc119886119887119888 overgroupabc 119886119887119888

notshyunderlinesegmentabc

minusminus119886119887119888 overleftharpoonabc abc widehatabc

notshy119886119887119888 overlinesegmentabc abc wideparenabc

minusminus119886119887119888 overrightharpoonabc abc widetildeabc

119886119887119888Iacute OgraveOgraveNtildeOgraveOgraveOgraveIuml underbraceabc

113

Table 246 stix Extensible Accents

⟌119886119887119888 longdivisionabc 119886119887119888 underbracketabc

⏞⏞⏞119886119887119888 overbraceabc 119886119887119888

underleftarrowabc

119886119887119888 overbracketabc 119886119887119888

underleftharpoonabc

119886119887119888 overleftarrowabc 119886119887119888

underleftrightarrowabc

119886119887119888 overleftharpoonabc 119886119887119888⏝⏝

underparenabc

119886119887119888 overleftrightarrowabc 119886119887119888

underrightarrowabc⏜⏜119886119887119888 overparenabc 119886119887119888

underrightharpoonabc

119886119887119888 overrightarrowabc abc widecheckabc

119886119887119888 overrightharpoonabc abc widehatabc

radic119886119887119888 sqrtabc abc widetildeabc

119886119887119888⏟⏟⏟

underbraceabc

Table 247 mathtools Extensible Accents⏞ ⏟ 119886119887119888 overbraceabc 119886119887119888⏟ ⏞ underbraceabc

119886119887119888 overbracketabc 119886119887119888 underbracketabc

overbracket and underbracket accept optional arguments that specify thebracket height and thickness See the mathtools documentation for more infor-mation

Table 248 mathabx Extensible Accentshkkikkj

119886119887119888 overbraceabc Ď119886119887119888 widebarabchkkkkj

119886119887119888 overgroupabc |119886119887119888 widecheckabc

119886119887119888loomoon

underbraceabc Ň119886119887119888 wideparenabc

119886119887119888loooon

undergroupabc Ň119886119887119888 wideringabc

Ĺ119886119887119888 widearrowabc

The braces shown for overbrace and underbrace appear in their minimumsize They can expand arbitrarily wide however

114

Table 249 fourier Extensible Accents

Ugrave119886119887119888 widearcabc 119886119887119888 wideparenabc

aring119886119887119888 wideOarcabc 119886119887119888 wideringabc

Table 250 esvect Extensible Accents

rdquo

119886119887119888 vvabc with package option a bdquo

119886119887119888 vvabc with package option b laquo

119886119887119888 vvabc with package option c raquo

119886119887119888 vvabc with package option d ndash

119886119887119888 vvabc with package option e mdash

119886119887119888 vvabc with package option f

119886119887119888 vvabc with package option g permil

119886119887119888 vvabc with package option h

esvect also defines a vv macro which is used to typeset arrows over vectorvariables with subscripts See the esvect documentation for more information

Table 251 abraces Extensible Accents⏞ ⏟ 119886119887119888 aoverbraceabc 119886119887119888⏟ ⏞ aunderbraceabc

aoverbrace and aunderbrace accept optional arguments that provide a greatdeal of control over the bracesrsquo appearance For example these commands canproduce braces with asymmetric endpoints braces that span lines dashed bracesand multicolored braces See the abraces documentation for more information

Table 252 undertilde Extensible Accents

119886119887119888 utildeabc

Because utilde is based on widetilde it is also made more extensible by theyhmath package (Table 242 on page 113)

115

Table 253 ushort Extensible Accents

119886119887119888 ushortdwabc 119886119887119888 ushortwabc

ushortw and ushortdw are intended to be used with multi-character argu-ments (ldquowordsrdquo) while ushortand ushortd are intended to be used with single-character arguments

The underlines produced by the ushort commands are shorter than those pro-duced by the underline command Consider the output from the expres-sion ldquoushortxushortyunderlinexunderlineyrdquo which looks likeldquo119909119910119909119910rdquo

Table 254 mdwmath Extensible Accentsradic119886119887119888 sqrtabc

Table 255 actuarialangle Extensible Accents

119886119887119888 actuarialangleabc

The actuarialangle package additionally defines angl as actuarialangle witha small amount of extra space to the right of the accented expression under the angln as angln and anglr as anglr

Table 256 119964ℳ119982 Extensible Arrows

119886119887119888larrminusminus xleftarrowabc119886119887119888minusminusrarr xrightarrowabc

Table 257 mathtools Extensible Arrows

119886119887119888larrminusminus˒ xhookleftarrowabc119886119887119888minusminusminusminus xleftrightharpoonsabc

119886119887119888minus˓minusrarr xhookrightarrowabc119886119887119888↦minusminusrarr xmapstoabc

119886119887119888lArr== xLeftarrowabc119886119887119888==rArr xRightarrowabc

119886119887119888minusminus xleftharpoondownabc

119886119887119888minusminus xrightharpoondownabc

119886119887119888minusminus xleftharpoonupabc

119886119887119888minusminus xrightharpoonupabc

119886119887119888larrminusrarr xleftrightarrowabc119886119887119888minusminusminusminus xrightleftharpoonsabc

119886119887119888lArr=rArr xLeftrightarrowabc

Table 258 chemarr Extensible Arrows119886119887119888minusminusminusminus xrightleftharpoonsabc

116

Table 259 chemarrow Extensible Arrows

abcDGGGGGGG

defautoleftarrowabcdef

abcGGGGGGGA

defautorightarrowabcdef

abcEGGGGGGGGGGGGGGC

defautoleftrightharpoonsabcdef

abcGGGGGGGBFGGGGGGG

defautorightleftharpoonsabcdef

In addition to the symbols shown above chemarrow also provides larrowfillrarrowfill leftrightharpoonsfill and rightleftharpoonsfill

macros Each of these takes a length argument and produces an arrow of thespecified length

Table 260 extarrows Extensible Arrows

119886119887119888lArr=rArr xLeftrightarrowabc119886119887119888lArr==rArr xLongleftrightarrowabc

119886119887119888larrminusrarr xleftrightarrowabc119886119887119888larrminusminusrarr xlongleftrightarrowabc

119886119887119888==== xlongequalabc

119886119887119888==rArr xLongrightarrowabc

119886119887119888lArr== xLongleftarrowabc119886119887119888minusminusrarr xlongrightarrowabc

119886119887119888larrminusminus xlongleftarrowabc

Table 261 extpfeil Extensible Arrows

119886119887119888==== xlongequalabc

119886119887119888minusminusminusminus xtwoheadleftarrowabc

119886119887119888↦minusminusrarr xmapstoabc119886119887119888minusminusminusminus xtwoheadrightarrowabc

119886119887119888minus===minus xtofromabc

The extpfeil package also provides a newextarrow command to help you defineyour own extensible arrow symbols See the extpfeil documentation for moreinformation

Table 262 DotArrow Extensible Arrows119886≻ dotarrowa

The DotArrow package provides mechanisms for lengthening the arrow adjustingthe distance between the arrow and its symbol and altering the arrowhead Seethe DotArrow documentation for more information

117

Table 263 halloweenmath Extensible Arrows

larrminusminus119886119887119888 overscriptleftarrowabc 119886119887119888larrminusminus underscriptleftarrowabclarrrarr119886119887119888 overscriptleftrightarrowabc 119886119887119888larrrarr underscriptleftrightarrowabcminusminusrarr119886119887119888 overscriptrightarrowabc 119886119887119888minusminusrarr underscriptrightarrowabc

These commands always typeset the arrow in script (small) style hence theldquoscriptrdquo in their names Contrast the size of the arrowheads in the followingexamples

minusrarr119886119887119888 vs

minusminusrarr119886119887119888

overrightarrowabc overscriptrightarrowabc

Table 264 trfsigns Extensible Transform Symbols

119886119887119888dftabc

119886119887119888DFTabc

Table 265 esrelation Extensible Relations

laquo raquo119886119887119888ampampamp relationleftprojectabc

ndash bdquo$$$119886119887119888 relationrightprojectabc

$$$119886119887119888mdash relationliftingabc

Table 266 halloweenmath Extensible Witches

minusminusisin119886119887119888 overleftwitchonbroomabc

niminusminus119886119887119888 overrightwitchonbroomabc



119886119887119888minusminusisin

underleftwitchonbroomabc 119886119887119888niminusminus

underrightwitchonbroomabc




119886119887119888

minusminusminusisin xleftwitchonbroomabc

119886119887119888

niminusminusminus xrightwitchonbroomabc

119886119887119888


119886119887119888


Table 267 halloweenmath Extensible Ghosts

119886119887119888 overleftswishingghostabc 119886119887119888 overrightswishingghostabc

119886119887119888 underleftswishingghostabc 119886119887119888 underrightswishingghostabc

119886119887119888xleftswishingghostabc

119886119887119888xrightswishingghostabc

118

Table 268 holtpolt Non-commutative Division Symbols

119886119887119888119889119890119891

holterabcdef119886119887119888119889119890119891

polterabcdef

Table 269 Dots

middot cdotp colon ldotp vdotsdagger

middot middot middot cdots ddotsdagger ldots

While ldquordquo is valid in math mode colon uses different surrounding spacing SeeSection 104 and the Short Math Guide for LATEX [Dow00] for more informationon math-mode spacing

dagger The mathdots package redefines ddots and vdots (Table 275) to make themscale properly with font size (They normally scale horizontally but not vertically)fixedddots and fixedvdots provide the original fixed-height functionality ofLATEX 2120576rsquos ddots and vdots macros

Table 270 119964ℳ119982 Dots

∵ because middot middot middot dotsi there4 therefore

middot middot middot dotsb middot middot middot dotsm

dotsc dotso

because and therefore are defined as binary relations and therefore also ap-pear in Table 89 on page 52

The 119964ℳ119982 dots symbols are named according to their intended usage dotsbbetween pairs of binary operatorsrelations dotsc between pairs of commasdotsi between pairs of integrals dotsm between pairs of multiplication signsand dotso between other symbol pairs

Table 271 wasysym Dots

there4 wasytherefore

119

Table 272 MnSymbol Dots

sdot cdot hdotdot ⋰ udots

ddotdot ⋯ hdots there4 uptherefore

⋱ ddots lefttherefore ∶ vdotdot

13 diamonddots righttherefore ⋮ vdots

∵ downtherefore ∷ squaredots

fivedots udotdot

MnSymbol defines therefore as uptherefore and because asdowntherefore Furthermore cdotp and colon produce the same glyphs ascdot and vdotdot respectively but serve as TEX math punctuation (class 6symbols) instead of TEX binary operators (class 2)

All of the above except hdots and vdots are defined as binary operators andtherefore also appear in Table 56 on page 33

Table 273 fdsymbol Dots

sdot cdot ⋯ hdots ⋰ udots

ddotdot lefttherefore there4 uptherefore

⋱ ddots righttherefore ∶ vdotdot


hdotdot udotdot

fdsymbol defines adots as a synonym for udots because as a synonymfor downtherefore cdotp as a synonym for cdot cdots as a synonymfor hdots Colon as a synonym for squaredots colon mathcolon andmathratio as synonyms for vdotdot and therefore as a synonym foruptherefore (Some of these serve different mathematical roles such as re-lations versus binary operators)

Table 274 stix Dots

⋰ adots ⋯ cdots ⦙ fourvdots

∵ because ∷ Colon ldotp

sdot cdot ⋱ ddots hellip mathellipsis

middot cdotp enleadertwodots there4 therefore

stix defines centerdot as a synonym for cdotp and dotsb and dotsm assynonyms for cdots

Table 275 mathdots Dots

ddots

iddots vdots

Unlike the default definitions of the above (Table 269) mathdotsrsquos commands aredesigned to scale properly with the surrounding font size

120

Table 276 yhmath Dots

adots

Table 277 teubner Dots

antilabe

Table 278 begriff Begriffsschrift Symbols

BGassert BGcontent BGnot

119887119886

BGconditionalab a BGquanta

The begriff package contains additional commands for typesetting Fregersquos Be-griffsschrift notation for second-order logic See the begriff documentation formore information

Table 279 frege Begriffsschrift Symbols

Facontent Fanncontent Fncontent

Fancontent Fcontent Fnncontent

a Fannquanta a Faquanta a Fnquantaa Fannquantna a Faquantna a Fnquantnaa Fannquantnna a Faquantnna a Fnquantnnaa Fanquanta a Fnnquanta a Fquantnaa Fanquantna a Fnnquantna a Fquantnnaa Fanquantnna a Fnnquantnna

The frege package contains additional commands for typesetting Fregersquos Begriffs-schrift notation for second-order logic See the frege documentation for moreinformation

Table 280 mathcomp Math Symbols

tccentigrade Ω tcohm permil tcperthousand

micro tcmu tcpertenthousand

121

Table 281 marvosym Math Symbols

W AngleSign gt LargerOrEqual MVMultiplication

Conclusion lt LessOrEqual MVPeriod

] Congruent divide MultiplicationDot + MVPlus

= Corresponds MVComma MVRightArrow

[ Divides MVDivision ) MVRightBracket

DividesNot ( MVLeftBracket ^ NotCongruent

Equivalence - MVMinus

Table 282 marvosym Digits

0 MVZero 2 MVTwo 4 MVFour 6 MVSix 8 MVEight

1 MVOne 3 MVThree 5 MVFive 7 MVSeven 9 MVNine

Table 283 fge Digits

0 fgestruckzero 1 fgestruckone

Table 284 dozenal Base-12 Digits

X x E e

Table 285 mathabx Mayan Digits

0 maya0 2 maya2 4 maya4


Table 286 stix Infinities

acidfree infin infty ⧝ tieinfty

⧜ iinfin ⧞ nvinfty

Table 287 stix Primes

prime prime backprime

Prime dprime backdprime

trprime backtrprime

qprime

122

Table 288 stix Empty Sets

empty emptyset ⦱ emptysetobar empty varnothing

⦳ emptysetoarr ⦲ emptysetocirc

⦴ emptysetoarrl ⦰ revemptyset

Table 289 119964ℳ119982 Angles

ang angle ] measuredangle ^ sphericalangle

Table 290 MnSymbol Angles

ang angle ∡ measuredangle ∢ sphericalangle

Table 291 fdsymbol Angles

ang angle ⦣ revangle ∢ sphericalangle

∡ measuredangle ⦛ revmeasuredangle sect sphericalangledown

⊾ measuredrightangle ∟ rightangle ⦠ sphericalangleleft

⦝ measuredrightangledot ⦜ rightanglesquare ⦡ sphericalangleup

fdsymbol defines measuredangleleft as a synonym for revmeasuredanglerevsphericalangle and gtlpar as synonyms for sphericalangleleftrightanglesqr as a synonym for rightanglesquare and rightanglemdot

as a synonym for measuredrightangledot

Table 292 boisik Angles

Otilde angle agrave rightangle times sphericalangle

Ouml measuredangle acirc rightanglemdot

aacute measuredrightangle atilde rightanglesqr

Table 293 stix Angles

⦟ angdnr ⦨ measanglerutone ⦝ rightanglemdot

ang angle ⦭ measangleultonw ⦜ rightanglesqr

⦞ angles ⦬ measangleurtone ∢ sphericalangle

⦤ angleubar ∡ measuredangle ⦡ sphericalangleup

⦠ gtlpar ⦛ measuredangleleft ⟀ threedangle

⦯ measangledltosw ⊾ measuredrightangle ⦢ turnangle

⦮ measangledrtose ⍼ rangledownzigzagarrow ⦦ wideangledown

⦫ measangleldtosw ⦣ revangle ⦧ wideangleup

⦩ measanglelutonw ⦥ revangleubar

⦪ measanglerdtose ∟ rightangle

123

Table 294 Miscellaneous LATEX 2120576 Math Symbols

alefsym aleph Boxdagger nabla nabla triangle

empty emptysetDagger ^ Diamond not neg angle infin infty prime prime

∖ backslash f mholsquo

surd

Not predefined in LATEX 2120576 Use one of the packages latexsym amsfonts amssymbtxfonts pxfonts or wasysym Note however that amsfonts and amssymb defineDiamond to produce the same glyph as lozenge (ldquodiamsrdquo) the other packagesproduce a squarer Diamond as depicted above

dagger To use Boxmdashor any other symbolmdashas an end-of-proof (QED) marker considerusing the ntheorem package which properly juxtaposes a symbol with the end ofthe proof text

Dagger Many people prefer the look of 119964ℳ119982rsquos varnothing (ldquoemptyrdquo Table 295) to that ofLATEXrsquos emptyset

Table 295 Miscellaneous 119964ℳ119982 Math Symbols

8 backprime H blacktriangledown f mho

F bigstar diagdown square

blacklozenge diagup O triangledown

blacksquare eth eth empty varnothing

N blacktriangle diams lozenge M vartriangle

Table 296 Miscellaneous wasysym Math Symbols

2 Box 3 Diamond f mho varangle

wasysym also defines an agemO symbol which is the same glyph as mho but isintended for use in text mode

Table 297 Miscellaneous txfontspxfonts Math Symbols

_ Diamondblack o lambdabar

Diamonddot n lambdaslash

Table 298 Miscellaneous mathabx Math Symbols

0 degree 4 fourth gt measuredangle 2 second

aring diagdown hash amp pitchfork sphericalangle

auml diagup 8 infty 9 propto 3 third

I diameter $ leftthreetimes rightthreetimes varhash

124

Table 299 Miscellaneous MnSymbol Math Symbols

backneg empty diameter ⨼ invneg not neg

backprime infin infty maltese prime prime

checkmark ⨽ invbackneg nabla nabla int smallint

MnSymbol defines emptyset and varnothing as synonyms for diameterlnot and minushookdown as synonyms for neg minushookup as a synonymfor invneg hookdownminus as a synonym for backneg and hookupminusas a synonym for invbackneg

Table 300 Miscellaneous Internal MnSymbol Math Symbols

q partialvardint p partialvartint

⨚ partialvardlanddownint ⨚ partialvartlanddownint

⨙ partialvardlandupint ⨙ partialvartlandupint

∲ partialvardlcircleleftint ∲ partialvartlcircleleftint

∲ partialvardlcirclerightint ∲ partialvartlcirclerightint

∯ partialvardoiint ∯ partialvartoiint

∮ partialvardoint ∮ partialvartoint

∳ partialvardrcircleleftint ∳ partialvartrcircleleftint

∳ partialvardrcirclerightint ∳ partialvartrcirclerightint

⨏ partialvardstrokedint ⨏ partialvartstrokedint

⨋ partialvardsumint ⨋ partialvartsumint

These symbols are intended to be used internally by MnSymbol to construct theintegrals appearing in Table 80 on page 46 but can nevertheless be used in isola-tion

Table 301 Miscellaneous fdsymbol Math Symbols

backneg infin infty prime prime

backprime invneg ⦰ revemptyset

checkmark maltese sector

empty emptyset not neg int smallint

fdsymbol defines hookdownminus as a synonym for backneg invneg andinvnot as synonyms for backneg lnot and minushookdown as synonyms forneg turnedbackneg as a synonym for intprodr turnedneg as a synonymfor intprod and diameter and varnothing as synonyms for emptyset

Table 302 Miscellaneous boisik Math Symbols

~ backepsilon ograve hermitmatrix Yacute notbot

Agrave backprime divide iinfin Uuml nottop

iuml checkmark invnot riota

aring dalambert lambdabar ntilde sinewave

Uuml diagdown lambdaslash Aacute varnothing

Ucirc diagup icirc maltese

125

Table 303 Miscellaneous stix Math Symbols

accurrent ⊹ hermitmatrix PropertyLine

∖ backslash hyphenbullet ∎ QED

bbrktbrk 〰 hzigzag Question

⟘ bigbot ∆ increment ⤫ rdiagovfdiag

⫼ biginterleave inversebullet ⟖ rightouterjoin

⟙ bigtop invnot ⅃ sansLmirrored

blacksmiley ⨝ Join ⅂ sansLturned

⎪ bracevert ⧠ laplac ∿ sinewave

caretinsert ⟕ leftouterjoin strns

checkmark llarc ⧧ thermod

conictaper lrarc ⫱ topcir

danger maltese turnednot

⟍ diagdown sect mathsection ⏡ ubrbrak

⟋ diagup mathvisiblespace ularc

diameter nabla nabla urarc

dingasterisk not neg viewdata

elinters ⏠ obrbrak ⦚ vzigzag

eth eth ⫡ perps yen yen

Exclam postalmark ⨟ zcmp

⤬ fdiagovrdiag profline ⨠ zpipe

⟗ fullouterjoin profsurf ⨡ zproject

stix defines lnot as a synonym for neg

Table 304 Miscellaneous textcomp Text-mode Math Symbols

deg textdegree frac12 textonehalfdagger frac34 textthreequartersdagger

divide textdiv frac14 textonequarterdagger sup3 textthreesuperior

frasl textfractionsolidus sup1 textonesuperior times texttimes

not textlnot plusmn textpm sup2 texttwosuperior

minus textminus radic textsurd

If you prefer a larger degree symbol you might consider defining one asldquoensuremath^circrdquo (ldquo∘rdquo)

dagger nicefrac (part of the units package) or the newer xfrac package can be used toconstruct vulgar fractions like ldquo12rdquo ldquo14rdquo ldquo34rdquo and even ldquocordquo

Table 305 Miscellaneous fge Math Symbols

K fgebackslash S fgecap R fgecupacute h fgelangle

M fgebaracute Q fgecapbar P fgecupbar L fgeupbracket

O fgebarcap N fgecup i fgeinfty

126

Table 306 Miscellaneous mathdesign Math Symbols

∟ rightangle

127

Table 307 Math Alphabets

Font sample Generating command Required package

ABCdef123 mathrmABCdef123 noneABCdef123 mathitABCdef123 none119860119861119862119889119890119891123 mathnormalABCdef123 none119964ℬ119966 mathcalABC none119964ℬ119966 mathscrABC mathrsfs

or mathcalABC calrsfsABC mathcalABC euscript with the mathcal option

or mathscrABC euscript with the mathscr optionABC mathcalABC rsfso

or mathscrABC rsfso with the scr optionABC mathcalABC urwchancal

or mathscrABC urwchancal with the mathscr optionABC mathbbABC amsfontsS amssymb txfonts or pxfonts varmathbbABC txfonts or pxfontsABCdef123 mathbbABCdef123 bbold or mathbboldagger

ABCdef123 mathbbABCdef123 mbboarddagger

ABCdef12 mathbbmABCdef12 bbmABCdef12 mathbbmssABCdef12 bbmABCdef12 mathbbmttABCdef12 bbmABC1 mathdsABC1 dsfontABC1 mathdsABC1 dsfont with the sans option

AacuteAcircAtilde symAsymBsymC china2eDagger

ABCdef123 mathfrakABCdef123 eufrakABCdef123 textfrakABCdef123 yfontspara

ABCdef123 textswabABCdef123 yfontspara

ABCˇf123 textgothABCdef123 yfontspara

urwchancal redefines mathcal or mathscr to use Zapf Chancery as the cali-graphic or script font However like all mathcal and mathscr commandsshown in Table 307 these support only uppercase letters An alternative isto put ldquoDeclareMathAlphabetmathpzcOT1pzcmitrdquo in your doc-umentrsquos preamble to make mathpzc typeset a wider set of characters in ZapfChancery Unfortunately with this technique accents superscripts and sub-scripts donrsquot align as well as they do with urwchancal

As a similar trick you can typeset the Calligra fontrsquos script ldquor rdquo (or othercalligraphic symbols) in math mode by loading the calligra package andputting ldquoDeclareMathAlphabetmathcalligraT1calligramnrdquoin your documentrsquos preamble to make mathcalligra typeset itsargument in the Calligra font You may also want to specifyldquoDeclareFontShapeT1calligramnlt-gts[22]callig15rdquo toset Calligra at 22 times its design size for a better blend with typical body fonts

128

dagger The mathbbol package defines some additional blackboard bold charac-ters parentheses square brackets angle brackets andmdashif the bbgreekloption is passed to mathbbolmdashGreek letters For instance ldquolt[(13)]gtrdquois produced by ldquomathbbLangleLbrackLparenbbalphabbbetabbgammaRparenRbrackRanglerdquo

mbboard extends the blackboard bold symbol set significantly further Itsupports not only the Greek alphabetmdashincluding ldquoGreek-likerdquo symbols suchas bbnabla (ldquordquo)mdashbut also all punctuation marks various currency sym-bols such as bbdollar (ldquo$rdquo) and bbeuro (ldquoucircrdquo) and the Hebrew alpha-bet (eg ldquobbfinalnunbbyodbbqofbbperdquo rarr ldquoIumlEacutetimesOcircrdquo)

Dagger The sym commands provided by the ChinA2e package are actually text-modecommands They are included in Table 307 because they resemble the blackboard-bold symbols that appear in the rest of the table In addition to the 26 lettersof the English alphabet ChinA2e provides three umlauted blackboard-bold letterssymAE (ldquoUcircrdquo) symOE (ldquoUumlrdquo) and symUE (ldquoYacuterdquo) Note that ChinA2e does providemath-mode commands for the most common number-set symbols These arepresented in Table 183 on page 96

para As their text names imply the fonts provided by the yfonts package areactually text fonts They are included in Table 307 because they are frequentlyused in a mathematical context

S An older (ie prior to 1991) version of the 119964ℳ119982rsquos fonts rendered C N R Sand Z as C N R S and Z As some people prefer the older glyphsmdashmuch to the119964ℳ119982rsquos surprisemdashand because those glyphs fail to build under modern versions ofMETAFONT Berthold Horn uploaded PostScript fonts for the older blackboard-bold glyphs to CTAN to the fontsmsym10 directory As of this writing howeverthere are no LATEX 2120576 packages for utilizing the now-obsolete glyphs

129

4 Science and technology symbols

This section lists symbols that are employed in various branches of science and engineering

Table 308 gensymb Symbols Defined to Work in Both Math and Text Mode

celsius micro micro permil perthousand

deg degree Ω ohm

Table 309 wasysym Electrical and Physical Symbols

AC VHF photon HF QPPPPPPR gluon

Table 310 ifsym Pulse Diagram Symbols

FallingEdge LongPulseLow PulseLow ShortPulseHigh

amp LongPulseHigh $ PulseHigh RaisingEdge ShortPulseLow

In addition within textifsym the following codes are valid

l l m m h h d d lt lt gt gt

L L M M H H D D = ltlt gtgt

This enables one to write ldquotextifsymmmltDDDgtmmrdquo to get ldquommltDDDgtmmrdquo or

ldquotextifsymL|H|L|H|Lrdquo to get ldquoL|H|L|H|Lrdquo See also the timing packagewhich provides a wide variety of pulse-diagram symbols within an environmentdesigned specifically for typesetting pulse diagrams

Finally textifsym supports the display of segmented digits as would appear on

an LCD ldquotextifsym-123456rdquo produces ldquo-123456rdquo ldquotextifsymbrdquo

outputs a blank with the same width as an ldquo8rdquo

Table 311 ar Aspect Ratio Symbol

A AR

Table 312 textcomp Text-mode Science and Engineering Symbols

textcelsius textmho micro textmu Ω textohm

130

Table 313 steinmetz Extensible Phasor Symbol

119886119887119888 phaseabc

The phase command uses the pict2e package to draw a horizontally and verti-cally scalable Steinmetz phasor symbol Consequently phase works only withthose TEX backends supported by pict2e See the pict2e documentation for moreinformation

Table 314 emf Electromotive Force Symbols

E emf with package option boondox (default)

E emf with package option cal

E emf with package option calligra

E emf with package option chorus

ℰ emf with package option cmr

E emf with package option fourier

E emf with package option frcursive

E emf with package option miama

ℰ emf with package option rsfs

With the cal package option emf uses mathcal Hence the depiction of ldquoErdquodepends on the currently loaded math font

Table 315 wasysym Astronomical Symbols

mercury earth X jupiter Z uranus pluto venus mars Y saturn [ neptune

⊙ astrosun fullmoon $ leftmoon newmoon rightmoon

aries _ cancer a libra e aquarius

] taurus leo b scorpio d capricornus

^ gemini ` virgo c sagittarius f pisces

ascnode descnode V conjunction W opposition vernal

131

Table 316 marvosym Astronomical Symbols

Acirc Mercury Ecirc Earth Aring Jupiter Ccedil Uranus Eacute Pluto

Atilde Venus Auml Mars AElig Saturn Egrave Neptune

Aacute Moon Agrave Sun

agrave Aries atilde Cancer aelig Libra eacute Capricorn

aacute Taurus auml Leo ccedil Scorpio ecirc Aquarius

acirc Gemini aring Virgo egrave Sagittarius euml Pisces

Note that Aries Pisces can also be specified with Zodiac1 Zodiac12

Table 317 fontawesome Astronomical Symbols

faMars faMoonO faVenus

| faMercury faSunO

Table 318 mathabx Astronomical Symbols

A Mercury C Earth E Jupiter G Uranus I Pluto

B Venus D Mars F Saturn H Neptune J varEarth

M fullmoon K leftmoon N newmoon L rightmoon Sun

P Aries Q Taurus R Gemini

mathabx also defines girl as an alias for Venus boy as an alias for Marsand Moon as an alias for leftmoon

Table 319 stix Astronomical Symbols

astrosun leftmoon rightmoon sun

132

Table 320 starfont Astronomical Symbols

f Mercury h Mars F Uranus l varTerra

g Venus j Jupiter G Neptune A varUranus

L Terra S Saturn J Pluto H varPluto

s Sun d Moon a varMoon

auml Cupido uuml Zeus szlig Apollon ouml Vulkanus

Uuml Hades Auml Kronos Ouml Admetos sect Poseidon

Oslash Lilith k NorthNode SouthNode

+ Amor Eros Juno ˝ Sappho

Acirc Ceres Hidalgo Pallas ˙ Vesta

D Chiron frac12 Hygiea iquest Psyche

K Fortune

x Aries n Leo V Sagittarius Z varCapricorn

c Taurus m Virgo B Capricorn

v Gemini X Libra N Aquarius

b Cancer C Scorpio M Pisces

q Conjunction t Square w Semisextile

p Opposition r Sextile e Semisquare

u Trine o Quincunx i Sesquiquadrate

1 ASC rsquo EastPoint 3 MC

2 DSC 4 IC Vertex

7 Direct 5 Retrograde 6 Station

Ograve Air Ntilde Earth ETH Fire Oacute Water

0 Natal aring Pentagram ) Radix

Table 321 wasysym APL Symbols

~ APLbox divide~ APLinv E APLstar

APLcomment p APLleftarrowbox APLup

F APLdown APLlog n APLuparrowbox

o APLdownarrowbox minus APLminus ∖minus notbackslash

APLinput q APLrightarrowbox minus notslash

∘119886 APLcirca sim119886 APLnota |119886 APLverta

133

Table 322 stix APL Symbols

APLboxquestion APLnotbackslash

APLboxupcaret APLnotslash

Table 323 apl APL Symbols

| AB DD | GD LK PD ^ UA G ZG Q ZQ

AM DE GE LO QQ US H ZH R ZR

BL DL GO LU RB UU I ZI S ZS

BX DM | GU NE RK XQ J ZJ T ZT

- CB DQ IB NG RO A ZA K ZK U ZU

CE DU 13 IO amp NN RU B ZB L ZL V ZV

CO EN LB NR | RV C ZC M ZM W ZW

- CR EP LD NT SO D ZD N ZN X ZX

- CS FL LE OM SS SS E ZE O ZO Y ZY

DA FM LG OR TR F ZF P ZP Z ZZ

Table 324 marvosym Computer Hardware Symbols

Iacute ComputerMouse Ntilde ParallelPort Icirc SerialInterface

Iuml Keyboard Ograve Printer ETH SerialPort

Table 325 keystroke Computer Keys

Alt Alt Enter Enter PrtSc PrtSc

AltGr AltGr Esc Esc rarr RArrow

Break Break Home Home larr˒ Return

↦minusrarr BSpacedagger Ins Ins Scroll Scroll

Ctrl Ctrl larr LArrow Shift uArr Shift

darr DArrow Num NumLock Spacebar

Del Del Page darr PgDown minusminusrarrminusminusrarr Tabdagger

End End Page uarr PgUp uarr UArrow

Changes based on the language option passed to the keystroke package Forexample the german option makes Del produce ldquo Entf rdquo instead of ldquo Del rdquo

dagger These symbols utilize the rotating package and therefore display improperly inmost DVI viewers

The keystroke command draws a key with an arbitrary label For exampleldquokeystrokeF7rdquo produces ldquo F7 rdquo

134

Table 326 ascii Control Characters (CP437)

SOH BS SI SYN GS

STX HT DLE ETB RS

ETX LF DCa CAN US

EOT VT DCb EM

ENQ FF DCc SUB

ACK - CR DCd ESC

BEL SO NAK FS

DEL NBSP NUL brvbar splitvert

Code Page 437 (CP437) which was first utilized by the original IBM PC uses thesymbols SOH through US to depict ASCII characters 1ndash31 and DEL to depictASCII character 127 The NUL symbol not part of CP437 represents ASCIIcharacter 0 NBSP also not part of CP437 represents a nonbreaking spacesplitvert is merely the ldquo|rdquo character drawn as it was on the IBM PC

Table 327 logic Logic Gates

ANDd BUFu NANDl ORd

ANDl BusWidth NANDr ORl

ANDr INVd NANDu ORr

ANDu INVl NORd ORu

BUFd INVr NORl

BUFl INVu 13 NORr

BUFr NANDd NORu

The logic package implements the digital logic-gate symbols specified by the USDepartment of Defensersquos MIL-STD-806 standard Note that on CTAN the pack-age is called logic but the package is loaded using usepackagemilstd (Therewas already amdashcompletely unrelatedmdashmilstd package on CTAN at the time oflogicrsquos release) Consequently package details are listed under milstd in Table 532and Table 533 on page 247

135

Table 328 marvosym Communication Symbols

k Email t fax v Faxmachine E Lightning A Pickup

z EmailCT u FAX B Letter H Mobilefone T Telefon

Table 329 marvosym Engineering Symbols

Beam l Force Octosteel RoundedTTsteel

Bearing Hexasteel Rectpipe Squarepipe

Circpipe amp Lefttorque Rectsteel Squaresteel

Circsteel L Lineload Righttorque Tsteel

Fixedbearing $ Loosebearing RoundedLsteel TTsteel

Flatsteel Lsteel RoundedTsteel

RoundedLsteel and RoundedTsteel seem to be swapped at least in the20000501 version of marvosym

Table 330 wasysym Biological Symbols

female male

Table 331 stix Biological Symbols

female male

Hermaphrodite neuter

Table 332 marvosym Biological Symbols

FEMALE FemaleMale | Male Neutral

~ Female Hermaphrodite MALE

FemaleFemale HERMAPHRODITE MaleMale

Table 333 fontawesome Biological Symbols

faGenderless faMarsStrokeH ~ faTransgenderAlt

faMars faMarsStrokeV faVenus

faMarsDouble faNeuter faVenusDouble

faMarsStroke faTransgender faVenusMars

fontawesome defines faIntersex as a synonym for faTransgender

Table 334 marvosym Safety-related Symbols

h Biohazard C CEsign ` Explosionsafe j Radioactivity

n BSEfree J Estatically a Laserbeam Stopsign

136

Table 335 feyn Feynman Diagram Symbols

para bigbosonloop hfermion ≪ smallbosonloopV

cup bigbosonloopA shfermion lceil wfermion

sup bigbosonloopV clubs smallbosonloop whfermion

∓ gvcropped cap smallbosonloopA

⊣ feyna rceil feynfu clubs feynglS 119974 feynhs

rfloor feync lfloor feynfv Dagger feynglu ⟩ feynhu

feynf feyng ⊓ feyngu feynm

lceil feynfd ⨿ feyng1 feyngv ⊘ feynms

feynfl ⊑ feyngd int feyngvs radic feynp

≀ feynflS dagger feyngl ⟨ feynh 119979 feynP

feynfs para feynglB | feynhd S feynx

All other arguments to the feyn command produce a ldquo perp rdquo symbol

The feyn package provides various commands for composing the preceding symbolsinto complete Feynman diagrams See the feyn documentation for examples andadditional information

Table 336 svrsymbols Physics Ideograms

Ntilde adsorbate 119907 experimentalsym Otilde protein

ETH adsorbent 120549 externalsym 119889 proton

119908 antimuon 119888 fermiDistrib Ocirc quadrupole

119872 antineutrino 120548 fermion 119874 quark

119910 antineutron eth Gluon 119875 quarkb

119899 antiproton 119904 graphene 119876 quarkc

119864 antiquark divide graviton 119877 quarkd

119865 antiquarkb Euml hbond 119878 quarks

119866 antiquarkc ntilde Higgsboson 119879 quarkt

119867 antiquarkd ℎ hole 119880 quarku

119868 antiquarks Oacute interaction 119897 reference

119869 antiquarkt 120553 internalsym 120559 resistivity

119870 antiquarku 119891 ion aelig rhomesonminus

Ograve anyon Icirc ionicbond ccedil rhomesonnull

119906 assumption ouml Jpsimeson aring rhomesonplus

119862 atom icirc Kaonminus 119905 solid


137


Egrave bigassumption iuml Kaonnull 120592 spin

Ecirc Bigassumption iacute Kaonplus 119885 spindown

Eacute biggassumption Iacute magnon 119900 spinup

Uacute Bmesonminus 120556 maxwellDistrib 119911 surface

Ucirc Bmesonnull Ccedil metalbond Igrave svrexample

Ugrave Bmesonplus 119860 method 119887 svrphoton

120595 bond 119909 muon Iuml tachyon

120561 boseDistrib 119873 neutrino times tauleptonminus

120564 boson 119892 neutron Ouml tauleptonplus

120594 conductivity 119890 nucleus agrave Tmesonminus

⁀ covbond 119861 orbit aacute Tmesonnull

119881 dipole atilde phimeson szlig Tmesonplus

Yacute Dmesonminus auml phimesonnull AElig triplecovbond

THORN Dmesonnull 119895 phonon acirc Upsilonmeson

Uuml Dmesonplus euml pionminus 119871 varphoton

Aring doublecovbond igrave pionnull 119903 water

119886 electron ecirc pionplus ocirc Wboson

119902 errorsym 119901 plasmon oacute Wbosonminus

egrave etameson 120601 polariton ograve Wbosonplus

eacute etamesonprime 119896 polaron otilde Zboson

119894 exciton 119898 positron

138

5 Dingbats

Dingbats are symbols such as stars arrows and geometric shapes They are commonly used as bulletsin itemized lists or more generally as a means to draw attention to the text that follows

The pifont dingbat package warrants special mention Among other capabilities pifont provides a LATEXinterface to the Zapf Dingbats font (one of the standard 35 PostScript fonts) However rather than name eachof the dingbats individually pifont merely provides a single ding command which outputs the characterthat lies at a given position in the font The consequence is that the pifont symbols canrsquot be listed by namein this documentrsquos index so be mindful of that fact when searching for a particular symbol

Table 337 bbding Arrows

y ArrowBoldDownRight z ArrowBoldRightShort x ArrowBoldUpRight

ArrowBoldRightCircled w ArrowBoldRightStrobe

Table 338 pifont Arrows

Ocirc ding212 Yacute ding221 aelig ding230 iuml ding239 ugrave ding249

Otilde ding213 THORN ding222 ccedil ding231 ntilde ding241 uacute ding250

Ouml ding214 szlig ding223 egrave ding232 ograve ding242 ucirc ding251

times ding215 agrave ding224 eacute ding233 oacute ding243 uuml ding252

Oslash ding216 aacute ding225 ecirc ding234 ocirc ding244 yacute ding253

Ugrave ding217 acirc ding226 euml ding235 otilde ding245 thorn ding254

Uacute ding218 atilde ding227 igrave ding236 ouml ding246

Ucirc ding219 auml ding228 iacute ding237 divide ding247

Uuml ding220 aring ding229 icirc ding238 oslash ding248

139

Table 339 adfsymbols Arrows

C adfarrowe1 J adfarrowne1 E adfarrows1 F adfarrowsw1

K adfarrowe2 R adfarrowne2 M adfarrows2 N adfarrowsw2

S adfarrowe3 Z adfarrowne3 U adfarrows3 V adfarrowsw3

c adfarrowe4 j adfarrowne4 e adfarrows4 f adfarrowsw4

k adfarrowe5 r adfarrowne5 m adfarrows5 n adfarrowsw5

s adfarrowe6 z adfarrowne6 u adfarrows6 v adfarrowsw6

I adfarrown1 H adfarrownw1 D adfarrowse1 G adfarroww1

Q adfarrown2 P adfarrownw2 L adfarrowse2 O adfarroww2

Y adfarrown3 X adfarrownw3 T adfarrowse3 W adfarroww3

i adfarrown4 h adfarrownw4 d adfarrowse4 g adfarroww4

q adfarrown5 p adfarrownw5 l adfarrowse5 o adfarroww5

y adfarrown6 x adfarrownw6 t adfarrowse6 w adfarroww6

B adfhalfarrowleft A adfhalfarrowright

b adfhalfarrowleftsolid a adfhalfarrowrightsolid

Technically the digit at the end of each adfarrow⟨dir⟩⟨digit⟩ command is amacro argument not part of the command name

The preceding symbols can also be produced by passing a number ora styledirection pair to the adfarrow command For example bothadfarrow19 and adfarrow[comic]east produce ldquoSrdquo See the adfsym-bols documentation for more information

Table 340 adforn Arrows

adfhalfleftarrow ) adfhalfrightarrowhead

( adfhalfleftarrowhead [ adfleftarrowhead

adfhalfrightarrow ] adfrightarrowhead

Table 341 arev Arrows

arrowbullet

Table 342 fontawesome Arrows

faArrowCircleDown oslash faArrowDown para faLongArrowDown

( faArrowCircleLeft ugrave faArrowLeft middot faLongArrowLeft

H faArrowCircleODown uacute faArrowRight cedil faLongArrowRight

divide faArrowCircleOLeft Egrave faArrows sup1 faLongArrowUp

faArrowCircleORight faArrowsAlt icirc faRepeat

d faArrowCircleOUp ograve faArrowsH lt faUndo

) faArrowCircleRight ocirc faArrowsV

faArrowCircleUp ucirc faArrowUp

fontawesome defines faRotateLeft as a synonym for faUndo andfaRotateRight as a synonym for faRepeat

140

Table 343 fontawesome Chevrons

faChevronCircleDown $ faChevronCircleUp faChevronRight

faChevronCircleLeft faChevronDown faChevronUp

faChevronCircleRight faChevronLeft

Table 344 marvosym Scissors

q CutLeft R CuttingLine S RightScissors

s CutRight Q LeftScissors

Table 345 bbding Scissors

ScissorHollowLeft ScissorLeftBrokenTop

ScissorHollowRight ScissorRight

ScissorLeft ScissorRightBrokenBottom

ScissorLeftBrokenBottom ScissorRightBrokenTop

Table 346 pifont Scissors

ding33 ding34 ding35 $ ding36

Table 347 dingbat Pencils

W largepencil P smallpencil

Table 348 arev Pencils

pencil

Table 349 fontawesome Pencils

Ograve faPencil M faPencilSquare L faPencilSquareO

Table 350 bbding Pencils and Nibs

NibLeft PencilLeft PencilRightDown

NibRight PencilLeftDown PencilRightUp

NibSolidLeft PencilLeftUp

NibSolidRight PencilRight

141

Table 351 pifont Pencils and Nibs

ding46 ding47 0 ding48 1 ding49 2 ding50

Table 352 dingbat Fists

R leftpointright L rightpointleft N rightpointrightD leftthumbsdown d rightthumbsdownU leftthumbsup u rightthumbsup

Table 353 bbding Fists

HandCuffLeft HandCuffRightUp HandPencilLeft

HandCuffLeftUp HandLeft HandRight

13 HandCuffRight HandLeftUp HandRightUp

Table 354 pifont Fists

ding42 + ding43 ding44 - ding45

Table 355 fourier Fists

t lefthand u righthand

Table 356 arev Fists

pointright

Table 357 fontawesome Fists

shy faHandLizardO laquo faHandPaperO reg faHandSpockO

faHandODown deg faHandPeaceO faThumbsDown

faHandOLeft macr faHandPointerO faThumbsODown

faHandORight ordf faHandRockO - faThumbsOUp

faHandOUp not faHandScissorsO faThumbsUp

fontawesome defines faHandGrabO as a synonym for faHandRockO andfaHandStopO as a synonym for faHandPaperO

142

Table 358 bbding Crosses and Plusses

Cross + CrossOpenShadow amp PlusOutline

- CrossBoldOutline CrossOutline ) PlusThinCenterOpen

4 CrossClowerTips Plus

CrossMaltese ( PlusCenterOpen

Table 359 pifont Crosses and Plusses

9 ding57 ding59 = ding61 ding63

ding58 lt ding60 gt ding62 ding64

Table 360 adfsymbols Crosses and Plusses

D adfbullet4 F adfbullet6 H adfbullet8 J adfbullet10

E adfbullet5 G adfbullet7 I adfbullet9

Table 361 arev Crosses

eastcross westcross

Table 362 bbding Xs and Check Marks

Checkmark XSolid XSolidBrush

CheckmarkBold $ XSolidBold

Table 363 pifont Xs and Check Marks

3 ding51 5 ding53 7 ding55


Table 364 wasysym Xs and Check Marks

2 CheckedBox Square 4 XBox

Table 365 marvosym Xs and Check Marks

V Checkedbox X CrossedBox O HollowBox

marvosym defines Crossedbox as a synonym for CrossedBox

143

Table 366 arev Xs and Check Marks

ballotcheck ballotx

Table 367 fontawesome Xs and Check Marks

Euml faCheck faCheckSquare euml faTimesCircle

Iacute faCheckCircle faCheckSquareO ecirc faTimesCircleO

Igrave faCheckCircleO eacute faTimes

fontawesome defines both faClose and faRemove as synonyms for faTimes

Table 368 pifont Circled Numerals

not ding172 para ding182 Agrave ding192 Ecirc ding202

shy ding173 middot ding183 Aacute ding193 Euml ding203

reg ding174 cedil ding184 Acirc ding194 Igrave ding204

macr ding175 sup1 ding185 Atilde ding195 Iacute ding205

deg ding176 ordm ding186 Auml ding196 Icirc ding206

plusmn ding177 raquo ding187 Aring ding197 Iuml ding207

sup2 ding178 frac14 ding188 AElig ding198 ETH ding208

sup3 ding179 frac12 ding189 Ccedil ding199 Ntilde ding209

acute ding180 frac34 ding190 Egrave ding200 Ograve ding210

micro ding181 iquest ding191 Eacute ding201 Oacute ding211

pifont (part of the psnfss package) provides a dingautolist environment whichresembles enumerate but uses circled numbers as bullets4 See the psnfss docu-mentation for more information

Table 369 wasysym Stars

C davidsstar A hexstar B varhexstar

4In fact dingautolist can use any set of consecutive Zapf Dingbats symbols

144

Table 370 bbding Stars Flowers and Similar Shapes

N Asterisk P FiveFlowerPetal 2 JackStar

A AsteriskBold 8 FiveStar 3 JackStarBold

B AsteriskCenterOpen FiveStarCenterOpen O SixFlowerAlternate

X AsteriskRoundedEnds FiveStarConvex U SixFlowerAltPetal

C AsteriskThin 7 FiveStarLines M SixFlowerOpenCenter

D AsteriskThinCenterOpen 9 FiveStarOpen Q SixFlowerPetalDotted

0 DavidStar FiveStarOpenCircled L SixFlowerPetalRemoved

DavidStarSolid lt FiveStarOpenDotted [ SixFlowerRemovedOpenPetal

Z EightAsterisk = FiveStarOutline G SixStar

S EightFlowerPetal gt FiveStarOutlineHeavy K SixteenStarLight

Y EightFlowerPetalRemoved FiveStarShadow ` Snowflake

H EightStar 1 FourAsterisk ^ SnowflakeChevron

I EightStarBold V FourClowerOpen _ SnowflakeChevronBold

F EightStarConvex W FourClowerSolid ] Sparkle

E EightStarTaper 5 FourStar SparkleBold

R FiveFlowerOpen 6 FourStarOpen J TwelweStar

Table 371 pifont Stars Flowers and Similar Shapes

A ding65 J ding74 S ding83 ding92 e ding101

B ding66 K ding75 T ding84 ] ding93 f ding102

C ding67 L ding76 U ding85 ^ ding94 g ding103

D ding68 M ding77 V ding86 _ ding95 h ding104

E ding69 N ding78 W ding87 ` ding96 i ding105

F ding70 O ding79 X ding88 a ding97 j ding106

G ding71 P ding80 Y ding89 b ding98 k ding107

H ding72 Q ding81 Z ding90 c ding99

I ding73 R ding82 [ ding91 d ding100

Table 372 adfsymbols Stars Flowers and Similar Shapes

A adfbullet1 M adfbullet13 R adfbullet18 W adfbullet23

B adfbullet2 N adfbullet14 S adfbullet19 X adfbullet24

C adfbullet3 O adfbullet15 T adfbullet20 Y adfbullet25

K adfbullet11 P adfbullet16 U adfbullet21 Z adfbullet26

L adfbullet12 Q adfbullet17 V adfbullet22

Table 373 adforn Stars

0 adfast1 2 adfast3 4 adfast5 6 adfast7 8 adfast9


145

Table 374 fontawesome Stars

faStar faStarHalf faStarHalfO faStarO

fontawesome defines both faStarHalfEmpty and faStarHalfFull as synonymsfor faStarHalfO

Table 375 fourier Fleurons and Flowers

o aldine X decoone c floweroneright

m aldineleft ] decosix g leafleft

n aldineright Y decothreeleft f leafNE

j aldinesmall Z decothreeright h leafright

[ decofourleft a decotwo d starredbullet

decofourright b floweroneleft

Table 376 adforn Fleurons and Flowers

r adfdownhalfleafleft R adfdownhalfleafright

x adfdownleafleft X adfdownleafright

l adfflatdownhalfleafleft L adfflatdownhalfleafright

m adfflatdownoutlineleafleft M adfflatdownoutlineleafright

u adfflatleafleft U adfflatleafright

n adfflatleafoutlineleft N adfflatleafoutlineright

v adfflatleafsolidleft V adfflatleafsolidright

q adfflowerleft Q adfflowerright

lt adfhalfleafleft gt adfhalfleafright

s adfhangingflatleafleft S adfhangingflatleafright

T adfhangingleafleft t adfhangingleafright

w adfleafleft W adfleafright

o adfoutlineleafleft O adfoutlineleafright

z adfsmallhangingleafleft Z adfsmallhangingleafright

y adfsmallleafleft Y adfsmallleafright

p adfsolidleafleft P adfsolidleafright

Table 377 wasysym Geometric Shapes

Circle G LEFTcircle 8 octagon H RIGHTcircle

CIRCLE G LEFTCIRCLE D pentagon H RIGHTCIRCLE

7 hexagon I Leftcircle J Rightcircle 9 varhexagon

146

Table 378 MnSymbol Geometric Shapes

filledlargestar loz largelozenge loz medlozenge

⧫ filledlozenge largepentagram medstarofdavid

⧫ filledmedlozenge ◻ largesquare loz smalllozenge

largecircle largestar

largediamond largestarofdavid

MnSymbol defines bigcirc as a synonym for largecircle bigstar as asynonym for filledlargestar lozenge as a synonym for medlozenge andblacklozenge as a synonym for filledmedlozenge

Table 379 fdsymbol Geometric Shapes

largeblackcircle _ largetriangledown loz medlozenge

largeblacksquare ^ largetriangleup smallblacklozenge

largeblackstar largewhitestar smalllozenge

largecircle ⟠ lozengeminus starofdavid

largesquare ⧫ medblacklozenge


bigcirc lgblksquare loz mdlgwhtlozenge

bigstar lgwhtcircle loz mdwhtlozenge

_ bigtriangledown lgwhtsquare smblklozenge

^ bigtriangleup loz lozenge smwhtlozenge

⧫ blacklozenge ⧫ mdblklozenge

lgblkcircle ⧫ mdlgblklozenge

Table 380 boisik Geometric Shapes

atilde bigstar diamond iacute triangledown

atilde blacklozenge acirc lozenge yuml triangleleft

iuml blacksquare ccedil lozengedot thorn triangleright

euml blacktriangle oacute square auml varlrttriangle

egrave blacktriangledown oslash star

147

Table 381 stix Geometric Shapes

acwopencirclearrow ⧨ downtriangleleftblack smalltriangleleft

barovernorthwestarrow ⧩ downtrianglerightblack smalltriangleright

benzenr ⃝ enclosecircle smblkdiamond

bigblacktriangledown ⃟ enclosediamond smblklozenge

bigblacktriangleup ⃞ enclosesquare smblksquare

bigstar ⃤ enclosetriangle smwhitestar

bigtriangledown ⧳ errbarblackcircle smwhtcircle

⨞ bigtriangleleft ⧱ errbarblackdiamond ⋄ smwhtdiamond

bigtriangleup ⧯ errbarblacksquare smwhtlozenge

bigwhitestar ⧲ errbarcircle smwhtsquare

⧭ blackcircledownarrow ⧰ errbardiamond sqlozenge

blackcircledrightdot ⧮ errbarsquare squarebotblack

blackcircledtwodots fisheye squarecrossfill

blackcircleulquadwhite fltns squarehfill

⧪ blackdiamonddownarrow hexagon squarehvfill

blackinwhitediamond hexagonblack squareleftblack

blackinwhitesquare house squarellblack

blacklefthalfcircle hrectangle squarellquad

⧫ blacklozenge hrectangleblack squarelrblack

blackpointerleft inversewhitecircle squarelrquad

blackpointerright invwhitelowerhalfcircle squareneswfill

blackrighthalfcircle invwhiteupperhalfcircle squarenwsefill

blacktriangle lgblkcircle squarerightblack

blacktriangledown lgblksquare squaretopblack

blacktriangleleft lgwhtcircle squareulblack

blacktriangleright lgwhtsquare squareulquad

blkhorzoval llblacktriangle squareurblack

blkvertoval ◺ lltriangle squareurquad

botsemicircle lrblacktriangle squarevfill

⧉ boxonbox ◿ lrtriangle squoval

bullseye mdblkcircle topsemicircle

circ mdblkdiamond trapezium

circlebottomhalfblack mdblklozenge trianglecdot

⦿ circledbullet ◼ mdblksquare triangledown

⧬ circledownarrow mdlgblkcircle triangleleftblack

circledrightdot mdlgblkdiamond ⧊ triangleodot

circledstar mdlgblksquare trianglerightblack

circledtwodots mdlgwhtdiamond ⧌ triangles

⦾ circledwhitebullet loz mdlgwhtlozenge ⧋ triangleubar

circlelefthalfblack mdlgwhtsquare ulblacktriangle

circlellquad ⦁ mdsmblkcircle ◸ ultriangle

circlelrquad ◾ mdsmblksquare ⦽ uparrowoncircle

circlerighthalfblack mdsmwhtcircle urblacktriangle

circletophalfblack ◽ mdsmwhtsquare ◹ urtriangle

circleulquad mdwhtcircle varhexagon

circleurquad mdwhtdiamond varhexagonblack

circleurquadblack mdwhtlozenge varhexagonlrbonds


148


circlevertfill ◻ mdwhtsquare ⊿ varlrtriangle

⧃ cirE medblackstar varstar

⧂ cirscir medwhitestar vrectangle

cwopencirclearrow parallelogram vrectangleblack

diamondbotblack parallelogramblack vysmblksquare

⟐ diamondcdot pentagon vysmwhtsquare

diamondleftblack pentagonblack ⟁ whiteinwhitetriangle

diamondrightblack rightpentagon whitepointerleft

diamondtopblack rightpentagonblack whitepointerright

dottedcircle smallblacktriangleleft whthorzoval

dottedsquare smallblacktriangleright whtvertoval

stix defines diamond as a synonym for smwhtdiamond blacksquare as a syn-onym for mdlgblksquare square and Box as synonyms for mdlgwhtsquaretriangle and varbigtriangleup as synonyms for bigtriangleup rhd

as a synonym for vartriangleright varbigtriangledown as a synonymfor bigtriangledown lhd as a synonym for vartriangleleft Diamond

and lozenge as synonyms for mglgwhtlozenge bigcirc as a synonym formglgwhtcircle circ as a synonym for smwhtcircle and mdlgblklozenge

as a synonym for blacklozenge

Table 382 ifsym Geometric Shapes

BigCircle T FilledBigTriangleRight E SmallCircle

13 BigCross Q FilledBigTriangleUp SmallCross

amp BigDiamondshape e FilledCircle F SmallDiamondshape

BigHBar FilledDiamondShadowA SmallHBar

_ BigLowerDiamond FilledDiamondShadowC SmallLowerDiamond

BigRightDiamond f FilledDiamondshape O SmallRightDiamond

BigSquare u FilledSmallCircle SmallSquare

BigTriangleDown v FilledSmallDiamondshape C SmallTriangleDown

BigTriangleLeft p FilledSmallSquare B SmallTriangleLeft

$ BigTriangleRight s FilledSmallTriangleDown D SmallTriangleRight

BigTriangleUp r FilledSmallTriangleLeft A SmallTriangleUp

BigVBar t FilledSmallTriangleRight SmallVBar

5 Circle q FilledSmallTriangleUp SpinDown

Cross ` FilledSquare ) SpinUp

DiamondShadowA FilledSquareShadowA 0 Square

DiamondShadowB FilledSquareShadowC SquareShadowA

DiamondShadowC c FilledTriangleDown SquareShadowB

6 Diamondshape b FilledTriangleLeft SquareShadowC

U FilledBigCircle d FilledTriangleRight 3 TriangleDown


149


V FilledBigDiamondshape a FilledTriangleUp 2 TriangleLeft

P FilledBigSquare HBar 4 TriangleRight

S FilledBigTriangleDown o LowerDiamond 1 TriangleUp

R FilledBigTriangleLeft RightDiamond VBar

The ifsym documentation points out that one can use rlap to combine

some of the above into useful new symbols For example BigCircle and

FilledSmallCircle combine to give ldquou rdquo Likewise Square and Cross com-

bine to give ldquo0rdquo See Section 103 for more information about constructing new

symbols out of existing symbols

Table 383 bbding Geometric Shapes

d CircleShadow u Rectangle j SquareShadowTopLeft

a CircleSolid v RectangleBold i SquareShadowTopRight

p DiamondSolid t RectangleThin g SquareSolid

b Ellipse f Square o TriangleDown

e EllipseShadow k SquareCastShadowBottomRight n TriangleUp

c EllipseSolid m SquareCastShadowTopLeft

s HalfCircleLeft l SquareCastShadowTopRight

r HalfCircleRight h SquareShadowBottomRight

Table 384 pifont Geometric Shapes

l ding108 o ding111 r ding114 u ding117 y ding121

m ding109 p ding112 s ding115 w ding119 z ding122

n ding110 q ding113 t ding116 x ding120

Table 385 universa Geometric Shapes

Δ baucircle Γ bausquare Θ bautriangle

Table 386 adfsymbols Geometric Shapes

a adfbullet27 f adfbullet32 q adfbullet43 v adfbullet48

b adfbullet28 g adfbullet33 r adfbullet44 w adfbullet49

c adfbullet29 h adfbullet34 s adfbullet45 x adfbullet50

d adfbullet30 o adfbullet41 t adfbullet46 y adfbullet51

e adfbullet31 p adfbullet42 u adfbullet47 z adfbullet52

150

Table 387 fontawesome Geometric Shapes

faCircle faCircleONotch C faDotCircleO faSquareO

+ faCircleO A faCircleThin faSquare

Table 388 LATEX 2120576 Playing-Card Suits

clubs clubsuit diamondsuit heartsuit spades spadesuit

Table 389 txfontspxfonts Playing-Card Suits

p varclubsuit q vardiamondsuit r varheartsuit s varspadesuit

Table 390 MnSymbol Playing-Card Suits


Table 391 fdsymbol Playing-Card Suits

clubs clubsuit heartsuit diams vardiamondsuit

diamondsuit spades spadesuit hearts varheartsuit

Table 392 boisik Playing-Card Suits

ocirc clubsuit otilde diamondsuit ouml heartsuit divide spadesuit

Table 393 stix Playing-Card Suits

clubs clubsuit heartsuit varclubsuit hearts varheartsuit

diamondsuit spades spadesuit diams vardiamondsuit varspadesuit

Table 394 arev Playing-Card Suits

varclub diams vardiamond hearts varheart varspade

151

Table 395 adforn Flourishes

C adfclosedflourishleft c adfclosedflourishright

D adfdoubleflourishleft d adfdoubleflourishright

I adfdoublesharpflourishleft i adfdoublesharpflourishright

E adfflourishleft e adfflourishright

F adfflourishleftdouble f adfflourishrightdouble

B adfopenflourishleft b adfopenflourishright

H adfsharpflourishleft h adfsharpflourishright

J adfsickleflourishleft j adfsickleflourishright

G adfsingleflourishleft g adfsingleflourishright

K adftripleflourishleft k adftripleflourishright

A adfwavesleft a adfwavesright

Table 396 Miscellaneous dingbat Dingbats

O anchor E eye S SborderC carriagereturn C filledsquarewithdots B squarewithdots

D checkmark I satellitedish Z Zborder

Table 397 Miscellaneous bbding Dingbats

Envelope Peace PhoneHandset T SunshineOpenCircled

q OrnamentDiamondSolid Phone Plane Tape

Table 398 Miscellaneous pifont Dingbats

ding37 ( ding40 curren ding164 sect ding167 laquo ding171

amp ding38 ) ding41 yen ding165 uml ding168 copy ding169

ding39 v ding118 brvbar ding166 ordf ding170

Table 399 Miscellaneous adforn Dingbats

bull adfbullet = adfdiamond para adfgee sect adfS | adfsquare

152

6 Ancient languages

This section presents letters and ideograms from various ancient scripts Some of these symbols may also beuseful in other typesetting contexts because of their pictorial nature

Table 400 phaistos Symbols from the Phaistos Disk

J PHarrow e PHeagle B PHplumedHead

h PHbee o PHflute d PHram

X PHbeehive H PHgaunlet l PHrosette

R PHboomerang p PHgrater P PHsaw

K PHbow G PHhelmet L PHshield

b PHbullLeg a PHhide Y PHship

D PHcaptive Z PHhorn V PHsling

S PHcarpentryPlane Q PHlid r PHsmallAxe

c PHcat m PHlily q PHstrainer

E PHchild N PHmanacles C PHtattooedHead

M PHclub O PHmattock I PHtiara

W PHcolumn n PHoxBack g PHtunny

U PHcomb k PHpapyrus j PHvine

T PHdolium A PHpedestrian s PHwavyBand

f PHdove i PHplaneTree F PHwoman

Table 401 protosem Proto-Semitic Characters

a Aaleph E AAhe k Akaph s Asamekh R AAresh

A AAaleph z Azayin K AAkaph p Ape S Ashin

b Abeth w Avav l Alamed P AApe v Ahelmet

B AAbeth H Aheth L AAlamed x Asade V AAhelmet

g Agimel h AAheth m Amem X AAsade t Atav

d Adaleth T Ateth n Anun q Aqoph

D AAdaleth y Ayod o Aayin Q AAqoph

e Ahe Y AAyod O AAayin r Aresh

The protosem package defines abbreviated control sequences for each of the aboveIn addition single-letter shortcuts can be used within the argument to thetextproto command (eg ldquotextprotoPakynrdquo produces ldquoPakynrdquo) Seethe protosem documentation for more information

153

Table 402 hieroglf Hieroglyphics

A HA I HI n Hn T HT

a Ha i Hi O HO t Ht

B HB Π Hibl o Ho Φ Htongue

b Hb Θ Hibp p Hp U HU

c Hc Ξ Hibs P HP u Hu

C HC Λ Hibw Ω Hplural V HV

D HD J HJ + Hplus v Hv

d Hd j Hj Q HQ mdash Hvbar

ff Hdual k Hk q Hq w Hw

e He K HK Hquery W HW

E HE L HL R HR X HX

f Hf l Hl r Hr x Hx

F HF m Hm s Hs Y HY

G HG M HM S HS y Hy

g Hg ϒ Hman Ψ Hscribe z Hz

h Hh Δ Hms Hslash Z HZ

H HH N HN Σ Hsv

mdash Hone 3 Hhundred 5 HXthousand 7 Hmillion

2 Hten 4 Hthousand 6 HCthousand

The hieroglf package defines alternate control sequences and single-letter shortcutsfor each of the above which can be used within the argument to the textpmhg

command (eg ldquotextpmhgPakinrdquo produces ldquoPakinrdquo) See the hieroglfdocumentation for more information

Table 403 linearA Linear A Script

LinearAI b LinearAXCIX LinearACXCVII t LinearACCXCV

LinearAII c LinearAC LinearACXCVIII u LinearACCXCVI

LinearAIII d LinearACI LinearACXCIX v LinearACCXCVII

LinearAIV e LinearACII LinearACC w LinearACCXCVIII

LinearAV f LinearACIII LinearACCI x LinearACCXCIX

LinearAVI g LinearACIV LinearACCII y LinearACCC

LinearAVII h LinearACV LinearACCIII z LinearACCCI

LinearAVIII i LinearACVI LinearACCIV LinearACCCII

LinearAIX j LinearACVII LinearACCV | LinearACCCIII


154


LinearAX k LinearACVIII LinearACCVI LinearACCCIV

LinearAXI l LinearACIX LinearACCVII ~ LinearACCCV

LinearAXII m LinearACX LinearACCVIII LinearACCCVI

LinearAXIII n LinearACXI LinearACCIX LinearACCCVII

13 LinearAXIV o LinearACXII LinearACCX LinearACCCVIII

LinearAXV p LinearACXIII LinearACCXI LinearACCCIX

LinearAXVI q LinearACXIV LinearACCXII LinearACCCX

LinearAXVII r LinearACXV LinearACCXIII LinearACCCXI

LinearAXVIII s LinearACXVI LinearACCXIV LinearACCCXII

LinearAXIX t LinearACXVII $ LinearACCXV LinearACCCXIII

LinearAXX u LinearACXVIII LinearACCXVI LinearACCCXIV

LinearAXXI v LinearACXIX amp LinearACCXVII LinearACCCXV

LinearAXXII w LinearACXX LinearACCXVIII LinearACCCXVI

LinearAXXIII x LinearACXXI ( LinearACCXIX LinearACCCXVII

LinearAXXIV y LinearACXXII ) LinearACCXX LinearACCCXVIII

LinearAXXV z LinearACXXIII LinearACCXXI LinearACCCXIX

LinearAXXVI LinearACXXIV + LinearACCXXII LinearACCCXX

LinearAXXVII | LinearACXXV LinearACCXXIII LinearACCCXXI

LinearAXXVIII LinearACXXVI - LinearACCXXIV LinearACCCXXII

LinearAXXIX ~ LinearACXXVII LinearACCXXV LinearACCCXXIII

LinearAXXX LinearACXXVIII LinearACCXXVI LinearACCCXXIV

LinearAXXXI LinearACXXIX 0 LinearACCXXVII LinearACCCXXV

LinearAXXXII LinearACXXX 1 LinearACCXXVIII LinearACCCXXVI

LinearAXXXIII LinearACXXXI 2 LinearACCXXIX LinearACCCXXVII

LinearAXXXIV LinearACXXXII 3 LinearACCXXX LinearACCCXXVIII

LinearAXXXV LinearACXXXIII 4 LinearACCXXXI LinearACCCXXIX

LinearAXXXVI LinearACXXXIV 5 LinearACCXXXII LinearACCCXXX

$ LinearAXXXVII LinearACXXXV 6 LinearACCXXXIII LinearACCCXXXI

LinearAXXXVIII LinearACXXXVI 7 LinearACCXXXIV LinearACCCXXXII

amp LinearAXXXIX LinearACXXXVII 8 LinearACCXXXV LinearACCCXXXIII

LinearAXL LinearACXXXVIII 9 LinearACCXXXVI LinearACCCXXXIV

( LinearAXLI LinearACXXXIX LinearACCXXXVII LinearACCCXXXV

) LinearAXLII LinearACXL LinearACCXXXVIII LinearACCCXXXVI

LinearAXLIII LinearACXLI lt LinearACCXXXIX LinearACCCXXXVII

+ LinearAXLIV LinearACXLII = LinearACCXL LinearACCCXXXVIII

LinearAXLV LinearACXLIII gt LinearACCXLI LinearACCCXXXIX

- LinearAXLVI LinearACXLIV LinearACCXLII iexcl LinearACCCXL

LinearAXLVII LinearACXLV LinearACCXLIII cent LinearACCCXLI

LinearAXLVIII LinearACXLVI A LinearACCXLIV pound LinearACCCXLII

0 LinearAXLIX LinearACXLVII B LinearACCXLV curren LinearACCCXLIII

1 LinearAL LinearACXLVIII C LinearACCXLVI yen LinearACCCXLIV

2 LinearALI LinearACXLIX D LinearACCXLVII brvbar LinearACCCXLV

3 LinearALII LinearACL E LinearACCXLVIII sect LinearACCCXLVI

4 LinearALIII LinearACLI F LinearACCXLIX uml LinearACCCXLVII

5 LinearALIV LinearACLII G LinearACCL copy LinearACCCXLVIII

6 LinearALV LinearACLIII H LinearACCLI ordf LinearACCCXLIX

7 LinearALVI LinearACLIV I LinearACCLII laquo LinearACCCL

8 LinearALVII LinearACLV J LinearACCLIII not LinearACCCLI

9 LinearALVIII LinearACLVI K LinearACCLIV shy LinearACCCLII


155


LinearALIX LinearACLVII L LinearACCLV reg LinearACCCLIII

LinearALX LinearACLVIII M LinearACCLVI macr LinearACCCLIV

lt LinearALXI LinearACLIX N LinearACCLVII deg LinearACCCLV

= LinearALXII LinearACLX O LinearACCLVIII plusmn LinearACCCLVI

gt LinearALXIII LinearACLXI P LinearACCLIX sup2 LinearACCCLVII

LinearALXIV iexcl LinearACLXII Q LinearACCLX sup3 LinearACCCLVIII

LinearALXV cent LinearACLXIII R LinearACCLXI acute LinearACCCLIX

A LinearALXVI pound LinearACLXIV S LinearACCLXII micro LinearACCCLX

B LinearALXVII curren LinearACLXV T LinearACCLXIII para LinearACCCLXI

C LinearALXVIII yen LinearACLXVI U LinearACCLXIV middot LinearACCCLXII

D LinearALXIX brvbar LinearACLXVII V LinearACCLXV cedil LinearACCCLXIII

E LinearALXX sect LinearACLXVIII W LinearACCLXVI sup1 LinearACCCLXIV

F LinearALXXI uml LinearACLXIX X LinearACCLXVII ordm LinearACCCLXV

G LinearALXXII copy LinearACLXX Y LinearACCLXVIII raquo LinearACCCLXVI

H LinearALXXIII ordf LinearACLXXI Z LinearACCLXIX frac14 LinearACCCLXVII

I LinearALXXIV laquo LinearACLXXII [ LinearACCLXX frac12 LinearACCCLXVIII

J LinearALXXV not LinearACLXXIII LinearACCLXXI frac34 LinearACCCLXIX

K LinearALXXVI shy LinearACLXXIV ] LinearACCLXXII iquest LinearACCCLXX

L LinearALXXVII reg LinearACLXXV ^ LinearACCLXXIII Agrave LinearACCCLXXI

M LinearALXXVIII macr LinearACLXXVI _ LinearACCLXXIV Aacute LinearACCCLXXII

N LinearALXXIX deg LinearACLXXVII ` LinearACCLXXV Acirc LinearACCCLXXIII

O LinearALXXX plusmn LinearACLXXVIII a LinearACCLXXVI Atilde LinearACCCLXXIV

P LinearALXXXI LinearACLXXIX b LinearACCLXXVII Auml LinearACCCLXXV

Q LinearALXXXII LinearACLXXX c LinearACCLXXVIII Aring LinearACCCLXXVI

R LinearALXXXIII LinearACLXXXI d LinearACCLXXIX AElig LinearACCCLXXVII

S LinearALXXXIV LinearACLXXXII e LinearACCLXXX Ccedil LinearACCCLXXVIII

T LinearALXXXV LinearACLXXXIII f LinearACCLXXXI Egrave LinearACCCLXXIX

U LinearALXXXVI LinearACLXXXIV g LinearACCLXXXII Eacute LinearACCCLXXX

V LinearALXXXVII LinearACLXXXV h LinearACCLXXXIII Ecirc LinearACCCLXXXI

W LinearALXXXVIII LinearACLXXXVI i LinearACCLXXXIV Euml LinearACCCLXXXII

X LinearALXXXIX LinearACLXXXVII j LinearACCLXXXV Igrave LinearACCCLXXXIII

Y LinearALXXXX LinearACLXXXVIII k LinearACCLXXXVI Iacute LinearACCCLXXXIV

Z LinearAXCI LinearACLXXXIX l LinearACCLXXXVII Icirc LinearACCCLXXXV

[ LinearAXCII LinearACLXXXX m LinearACCLXXXVIII Iuml LinearACCCLXXXVI

LinearAXCIII LinearACXCI n LinearACCLXXXIX ETH LinearACCCLXXXVII

] LinearAXCIV 13 LinearACXCII o LinearACCLXXXX Ntilde LinearACCCLXXXVIII

^ LinearAXCV LinearACXCIII p LinearACCXCI Ograve LinearACCCLXXXIX

_ LinearAXCVI LinearACXCIV q LinearACCXCII

` LinearAXCVII LinearACXCV r LinearACCXCIII

a LinearAXCVIII LinearACXCVI s LinearACCXCIV

156

Table 404 linearb Linear B Basic and Optional Letters

a Ba j Bja B Bmu ] Bpte lsquo Broii 4 Bto

Baii J Bje n Bna I Bpu V Bru 5 Btu

lt Baiii b Bjo N Bne Bpuii s Bsa ~ Btwo

= Bau L Bju C Bni q Bqa S Bse u Bu

d Bda k Bka E Bno Q Bqe Y Bsi w Bwa

D Bde K Bke F Bnu X Bqi 1 Bso W Bwe

f Bdi c Bki Bnwa 8 Bqo 2 Bsu 6 Bwi

g Bdo h Bko o Bo r Bra Bswa 7 Bwo

x Bdu v Bku p Bpa ^ Braii | Bswi z Bza

gt Bdwe m Bma [ Bpaiii _ Braiii t Bta Z Bze

Bdwo M Bme P Bpe R Bre Btaii 9 Bzo

e Be y Bmi G Bpi O Bri T Bte

i Bi A Bmo H Bpo U Bro 3 Bti

These symbols must appear either within the argument to textlinb orfollowing the linbfamily font-selection command within a scope Single-character shortcuts are also supported Both ldquotextlinbBpaBkiBnardquo and

ldquotextlinbpcnrdquo produce ldquopcnrdquo for example See the linearb documentationfor more information

Table 405 linearb Linear B Numerals

acute BNi ˇ BNvii sbquo BNxl laquo BNc ı BNdcc

ˆ BNii ˘ BNviii lsaquo BNl raquo BNcc ȷ BNdccc

˜ BNiii macr BNix rsaquo BNlx ndash BNccc ff BNcm

uml BNiv ˙ BNx ldquo BNlxx mdash BNcd fi BNm

˝ BNv cedil BNxx rdquo BNlxxx zwnj BNd

˚ BNvi ˛ BNxxx bdquo BNxc permil BNdc

These symbols must appear either within the argument to textlinb or followingthe linbfamily font-selection command within a scope

Table 406 linearb Linear B Weights and Measures

Ď BPtalent Ľ BPvolb Ń BPvolcf Ą BPwtb Č BPwtd

Ĺ BPvola Ł BPvolcd Ă BPwta Ć BPwtc


157

Table 407 linearb Linear B Ideograms

Ž BPamphora ź BPchassis ă BPman Š BPwheat

ĳ BParrow Ř BPcloth ț BPnanny ž BPwheel

Ş BPbarley ŋ BPcow Ț BPolive Ť BPwine

ť BPbilly Ÿ BPcup ń BPox Ż BPwineiih

ľ BPboar š BPewe ĺ BPpig Ĳ BPwineiiih

Ű BPbronze ě BPfoal ś BPram İ BPwineivh

ň BPbull ş BPgoat ř BPsheep ą BPwoman

đ BPcauldroni Ź BPgoblet ł BPsow Ś BPwool

sect BPcauldronii Ů BPgold iexcl BPspear

yuml BPchariot ď BPhorse ż BPsword


Table 408 linearb Unidentified Linear B Symbols

fl BUi BUiv BUvii amp BUx shy Btwe

ffi BUii BUv $ BUviii rsquo BUxi

ffl BUiii BUvi BUix shy BUxii


Table 409 cypriot Cypriot Letters

a Ca v Cku B Cmu H Cpo 1 Cso 6 Cwi

e Ce l Cla n Cna I Cpu 2 Csu 7 Cwo

g Cga L Cle N Cne r Cra t Cta x Cxa

i Ci d Cli C Cni R Cre T Cte X Cxe

j Cja f Clo E Cno O Cri 3 Cti j Cya

b Cjo q Clu F Cnu U Cro 4 Cto b Cyo

k Cka m Cma o Co V Cru 5 Ctu g Cza

K Cke M Cme p Cpa s Csa u Cu 9 Czo

c Cki y Cmi P Cpe S Cse w Cwa

h Cko A Cmo G Cpi Y Csi W Cwe

These symbols must appear either within the argument to textcypr orfollowing the cyprfamily font-selection command within a scope Single-character shortcuts are also supported Both ldquotextcyprCpaCkiCnardquo and

ldquotextcyprpcnrdquo produce ldquopcnrdquo for example See the cypriot documentationfor more information

158

Table 410 sarabian South Arabian Letters

a SAa z SAz m SAm x SAsd D SAdb

b SAb H SAhd n SAn q SAq J SAtb

g SAg T SAtd s SAs r SAr G SAga

d SAd y SAy f SAf S SAsv Z SAzd

h SAh k SAk lsquo SAlq t SAt X SAsa

w SAw l SAl o SAo I SAhu B SAdd

These symbols must appear either within the argument to textsarab orfollowing the sarabfamily font-selection command within a scope Single-character shortcuts are also supported Both ldquotextsarabSAbSAkSAnrdquo andldquotextsarabbknrdquo produce ldquobknrdquo for example See the sarabian documentationfor more information

Table 411 teubner Archaic Greek Letters and Greek Numerals

Ϙ Coppadagger Ϝ Digamma ϡ sampi ϛ varstigma

ϙ coppadagger ϟ koppa Ϛ Stigma

ϝ digammaDagger Ϡ Sampi ϛ stigma

Technically these symbols do not require teubner it is sufficient to load the babelpackage with the greek option (upon which teubner depends)mdashbut use qoppa forkoppa and ddigamma for digamma

dagger For compatibility with other naming conventions teubner defines Koppa as asynonym for Coppa and varcoppa as a synonym for coppa

Dagger If both teubner and amssymb are loaded teubnerrsquos digamma replaces amssymbrsquosdigamma regardless of package-loading order

Table 412 boisik Archaic Greek Letters and Greek Numerals

Digamma qoppa - stigma varsampi

digamma ] Qoppa Stigma

( heta ^ Sampi ) vardigamma

[ Heta + sampi _ Varsampi

159

Table 413 epiolmec Epi-Olmec Script

sect EOafter Ě EOMiddle ź EOStarWarrior

Ş EOandThen ő EOmonster ű EOstep

Ť EOAppear ě EOMountain M EOSu

t EOBeardMask EOmuu S EOsu

ą EOBedeck b EOna ž EOsun

u EOBlood lsquo EOne Q EOsuu

ć EObrace ^ EOni K EOSuu

AElig EObuilding š EOnow EOta

v EOBundle c EOnu 8 EOte

w EOChop a EOnuu ż EOthrone

Ř EOChronI EOofficerI 7 EOti

x EOCloth | EOofficerII Ĳ EOtime

r EODealWith EOofficerIII ĳ EOTime

Ţ EODeer ~ EOofficerIV pound EOTitle

Ű EOeat 3 EOpa Ŋ EOTitleII

đ EOflint n EOpak ş EOTitleIV

č EOflower Ś EOPatron lt EOto

Auml EOFold Ů EOPatronII EOtu

ď EOGod 1 EOpe Ő EOtuki

Acirc EOGoUp ť EOpenis İ EOtukpa

ę EOgovernor 0 EOpi Agrave EOturtle

z EOGuise Ÿ EOPierce 9 EOtuu

iexcl EOHallow Ę EOPlant EOtza

V EOja Ğ EOPlay gt EOtze

ĺ EOjaguar 6 EOpo Ŕ EOtzetze

U EOje ţ EOpriest = EOtzi

T EOji Ĺ EOPrince B EOtzu

- EOJI 5 EOpu EOtzuu


160


Y EOjo 2 EOpuu EOundef

X EOju o EOpuuk ă EOvarBeardMask

m EOkak Auml EORain W EOvarja

D EOke L EOSa EOvarji

C EOki R EOsa EOvarki

Ź EOkij Aring EOsacrifice F EOvarkuu

Ă EOKing y EOSaw _ EOvarni

ł EOknottedCloth q EOScorpius 4 EOvarpa

ń EOknottedClothStraps Acirc EOset J EOvarSi

H EOko O EOsi P EOvarsi

G EOku I EOSi A EOvartza

E EOkuu ů EOsing g EOvarwuu

Atilde EOLetBlood ľ EOSini Atilde EOvarYear

Ą EOloinCloth yuml EOskin h EOwa

Ć EOlongLipII Ľ EOSky e EOwe

ň EOLord ś EOskyAnimal d EOwi

Č EOLose Ł EOskyPillar i EOwo

] EOma Ż EOsnake f EOwuu

ŋ EOmacaw N EOSo l EOya

ŕ EOmacawI EOSpan p EOyaj

[ EOme Ń EOSprinkle j EOye

Ď EOmexNew Ž EOstar s EOYear

Z EOmi Ň EOstarWarrior k EOyuu

Table 414 epiolmec Epi-Olmec Numerals

EOzero ˝ EOvi cedil EOxii rdquo EOxviii

EOi ˚ EOvii ˛ EOxiii bdquo EOxix

EOii ˇ EOviii sbquo EOxiv laquo EOxx

EOiii ˘ EOix lsaquo EOxv

EOiv macr EOx rsaquo EOxvi

uml EOv ˙ EOxi ldquo EOxvii

161

Table 415 allrunes Runes

aacute a E E İ ING m m R R Oacute sthree

ą A F F ţ ing n n z RR T T

a a f f iexcl Ing Ŋ NG Atilde s t t

A A g g ł j ŋ ng s s Auml textsection

b b egrave h j j o o S S thorn th

B B H H J J ă p ocirc seight U U

ď d h h ń k p p oacute sfive u u

D D Aacute i Č K P P atilde sfour w w

d d i i k k Ž R auml sseven

e e I I l l r r Ocirc ssix

The symbols in this table should appear within the argument to textarc

(for common Germanic runes) textara (for Anglo-Frisian runes) textarn

(for normal runes) textart (for short-twig runes) textarl (for stavelessrunes) textarm (for medieval runes) or within a scope that sets respec-tively arcfamily arafamily arnfamily artfamily arlfamily orarmfamily Each family presents slightly different glyphs andor slightly dif-ferent subsets of the available runes (The table presents the common Germanicrunes) See the allrunes documentation for more information

Table 416 allrunes Rune Separators

bar doubleeye + plus tripledot

cross doubleplus lt quaddot gt tripleeye

dot doublestar quadeye - tripleplus

doublebar eye $ star

doublecross = pentdot triplebar

doubledot penteye amp triplecross

See the usage comment under Table 415

162

7 Musical symbols

The following symbols are used to typeset musical notation The lilylyp s package provides a large

subset of the symbols in this section Note however that lilylyp s depends upon the fontspec packageOpenType (otf) fonts and some PDF graphics and therefore works only with LuaLATEX or X ELATEX

Table 417 LATEX 2120576 Musical Symbols

flat natural ♯ sharp

Table 418 textcomp Musical Symbols

textmusicalnote

Table 419 wasysym Musical Symbols

eighthnote 13 halfnote twonotes fullnote quarternote

Table 420 MnSymbol Musical Symbols


Table 421 fdsymbol Musical Symbols


Table 422 boisik Musical Symbols

ugrave flat uacute natural ucirc sharp

Table 423 stix Musical Symbols

eighthnote natural ♯ sharp

flat quarternote twonotes

Table 424 arev Musical Symbols

quarternote eighthnote sixteenthnote

163

Table 425 MusiXTEX Musical Symbols

R allabreveffl

lsf W shake

K altoclefndash

lsfz X Shake

C backturn $ maxima j Shakel

I bassclef 9 meterplus m Shakene

O caesura Y mordent k Shakenw

U coda w Mordent l Shakesw

i Coda PAUSe L smallaltoclef

Dep PAuse J smallbassclef

y doublethumb = pause H smalltrebleclef

mdash downbow Ped sPed

ds gt qp G trebleclef

N duevolte B qqs E trillQfermatadown qs D turn

P fermataup reverseallabreve upbow

x flageolett T reverseC ffi usf

lt hpause h sDep raquo usfz

A hs n Segno 8 wq

rsquo longa V segno shy wqq

All of these symbols are intended to be used in the context of typesetting musicalscores See the MusiXTEX documentation for more information

164

Table 426 MusiXTEX Alternative Clefs

M drumclef z gregorianFclef

b gregorianCclef g oldGclef

In addition to MusiXTEX drumclef requires the musixper package oldGclefrequires the musixlit package and both gregorianCclef and gregorianFclef

require the musixgre package Together with MusiXTEX these packages provide acomplete system for typesetting percussion notation (musixper) liturgical music(musixlit) and Gregorian chants (musixgre including the staffs and all of thenecessary neumes See the MusiXTEX documentation for more information

Table 427 harmony Musical Symbols

ˇ ldquo ˇ ldquo== AAcht DD DDohne ˘ ldquo Halb ˇ ldquo==== SechBR gt VM

ˇ ldquo( Acht D Dohne lt HaPa ˇ ldquo=== SechBr ˇ ldquo Zwdr

ˇ ldquo== AchtBL ss Ds permil Pu SePa A ZwPa

ˇ ldquo== AchtBR SS DS ˇ ldquo) Sech lt UB

AcPa macr Ganz ˇ ldquo==== SechBL ˇ ldquo Vier

DD lt GaPa ˇ ldquo=== SechBl gt ViPa

The MusiXTEX package must be installed to use harmony

Table 428 harmony Musical Accents

Aaaa

FerliAFerlia A a OhneAOhnea

Aaaa

FermiAFermia Aa UmdAUmda

Alal KrAKra

These symbols take an optional argument which shifts the accent either horizon-tally or vertically (depending on the command) by the given distance

In addition to the accents shown above HH is a special accent commandthat accepts five period-separated characters and typesets them such that

ldquoHHXabcdrdquo produces ldquoXa

bcdrdquo All arguments except the first can be omitted

ldquoHHXrdquo produces ldquoXrdquo Takt takes two arguments and composes them intoa musical time signature For example ldquoTakt128rdquo produces ldquo 8

12rdquo As twospecial cases ldquoTaktc0rdquo produces ldquoSrdquo and ldquoTaktc1rdquo produces ldquoRrdquo


165

Table 429 lilylyp s Single Notes

eighthNote

uquarterNoteDottedDown

eighthNoteDottedC

quarterNoteDown eighthNoteDottedDouble

copy sixteenthNote

eighthNoteDottedDoubleDowncopy sixteenthNoteDotted

eighthNoteDottedDowncopy sixteenthNoteDottedDouble

eighthNoteDown

sixteenthNoteDottedDoubleDown halfNote

sixteenthNoteDottedDown

u halfNoteDotted

sixteenthNoteDown

uu halfNoteDottedDouble Z

thirtysecondNoteuu

halfNoteDottedDoubleDown Z

thirtysecondNoteDottedu

halfNoteDottedDown Z

thirtysecondNoteDottedDouble

halfNoteDownZ thirtysecondNoteDottedDoubleDown

C quarterNoteZ thirtysecondNoteDottedDown

u quarterNoteDottedZ thirtysecondNoteDown

uu quarterNoteDottedDouble wholeNoteuu

quarterNoteDottedDoubleDown wholeNoteDotted

lilylyp s defines synonyms for all of the preceding symbols

C crotchetu

minimDottedDownu crotchetDotted

minimDown

uu crotchetDottedDouble quaver

uucrotchetDottedDoubleDown

quaverDotted

ucrotchetDottedDown

quaverDottedDouble

CcrotchetDown

quaverDottedDoubleDown

Z

demisemiquaver

quaverDottedDown

Z

demisemiquaverDotted

quaverDown

Z

demisemiquaverDottedDouble semibreveZ demisemiquaverDottedDoubleDown semibreveDottedZ demisemiquaverDottedDown

copy semiquaverZ

demisemiquaverDowncopy semiquaverDotted

minimcopy semiquaverDottedDouble

u minimDotted

semiquaverDottedDoubleDownuu minimDottedDouble

semiquaverDottedDown

uuminimDottedDoubleDown

semiquaverDown

166

Table 430 lilylyp s Beamed Notes

C C twoBeamedQuavers ZZZ threeBeamedQuaversII

ZZZ threeBeamedQuavers ZZZ threeBeamedQuaversIII

ZZZ threeBeamedQuaversI

Table 431 lilylyp s Clefs

clefC clefF clefG

Each of these symbols provides a smaller ldquoinlinerdquo form (clefCInlineclefFInline and clefGInline respectively) intended for use within a para-

graph See the lilylyp s documentation for more information

Table 432 lilylyp s Time Signatures

lilyTimeC lilyTimeCHalf

lilylyp s also provides a lilyTimeSignature command that lets a user typesetsingle and compound time signatures by specifying a numerator and a denomi-

nator See the lilylyp s documentation for more information

Table 433 lilylyp s Accidentals

doublesharp sharpArrowdown

flat sharpArrowup

flatflat sharpSlashslashslashStem

natural sharpSlashslashslashStemstem

sharp sharpSlashslashStem

sharpArrowboth sharpSlashslashStemstemstem

167

Table 434 lilylyp s Rests

crotchetRest quaverRestDotted

crotchetRestDotted semiquaverRest

halfNoteRest semiquaverRestDotted

halfNoteRestDotted wholeNoteRest

quaverRest wholeNoteRestDotted

Multiply dotted rests can be produced with the lilyPrintMoreDots command

See the lilylyp s documentation for more information

Table 435 lilylyp s Dynamics Letters

lilyDynamicsf lilyDynamicsr

lilyDynamicsp lilyDynamicss

lilyDynamicsm lilyDynamicsz

lilyRF lilyRFZ

These letters and the digits 0ndash9 are the only alphanumerics defined by lilylyp s rsquosunderlying Emmentaler fonts

Table 436 lilylyp s Dynamics Symbols

crescHairpin decrescHairpin

Table 437 lilylyp s Articulations

lilyAccent marcato staccatissimo

lilyEspressivo marcatoDown tenuto

lilyStaccato portato

lilyThumb portatoDown

Table 438 lilylyp s Scripts

fermata

Table 439 lilylyp s Accordion Notation

accordionBayanBass accordionOldEE accordionStdBass

accordionDiscant accordionPull

accordionFreeBass accordionPush

168

Table 440 lilylyp s Named Time Signatures

lilyGlyphtimesigC22 lilyGlyphtimesigmensural98

lilyGlyphtimesigC44 lilyGlyphtimesigneomensural22

lilyGlyphtimesigmensural22 lilyGlyphtimesigneomensural24







lilyGlyphtimesigmensural68 lilyGlyphtimesigneomensural68alt

lilyGlyphtimesigmensural68alt lilyGlyphtimesigneomensural94


lilylyp s defines shorter names for a few of these symbols See Table 432

Table 441 lilylyp s Named Scripts

lilyGlyphscriptsarpeggio lilyGlyphscriptsprallmordent

lilyGlyphscriptsarpeggioarrow1 lilyGlyphscriptsprallprall

lilyGlyphscriptsarpeggioarrowM1 lilyGlyphscriptsprallup

lilyGlyphscriptsaugmentum lilyGlyphscriptsrcomma

lilyGlyphscriptsbarlinekievan lilyGlyphscriptsreverseturn

lilyGlyphscriptscaesuracurved lilyGlyphscriptsrvarcomma

lilyGlyphscriptscaesurastraight lilyGlyphscriptssegno

lilyGlyphscriptscirculus lilyGlyphscriptssforzato

lilyGlyphscriptscoda lilyGlyphscriptssnappizzicato

lilyGlyphscriptsdaccentus lilyGlyphscriptsstaccato

lilyGlyphscriptsdfermata lilyGlyphscriptsstopped

lilyGlyphscriptsdlongfermata lilyGlyphscriptstenuto

lilyGlyphscriptsdmarcato lilyGlyphscriptsthumb

lilyGlyphscriptsdownbow lilyGlyphscriptstickmark

lilyGlyphscriptsdownmordent lilyGlyphscriptstrilelement

lilyGlyphscriptsdownprall lilyGlyphscriptstrill

lilyGlyphscriptsdpedalheel lilyGlyphscriptstrill_element

lilyGlyphscriptsdpedaltoe lilyGlyphscriptsturn

lilyGlyphscriptsdportato lilyGlyphscriptsuaccentus

lilyGlyphscriptsdsemicirculus lilyGlyphscriptsufermata

lilyGlyphscriptsdshortfermata lilyGlyphscriptsulongfermata

lilyGlyphscriptsdsignumcongruentiae lilyGlyphscriptsumarcato

lilyGlyphscriptsdstaccatissimo lilyGlyphscriptsupbow

lilyGlyphscriptsdverylongfermata lilyGlyphscriptsupedalheel

lilyGlyphscriptsespr lilyGlyphscriptsupedaltoe


169


lilyGlyphscriptsflageolet lilyGlyphscriptsupmordent

lilyGlyphscriptshalfopen lilyGlyphscriptsuportato

lilyGlyphscriptshalfopenvertical lilyGlyphscriptsupprall

lilyGlyphscriptsictus lilyGlyphscriptsusemicirculus

lilyGlyphscriptslcomma lilyGlyphscriptsushortfermata

lilyGlyphscriptslineprall lilyGlyphscriptsusignumcongruentiae

lilyGlyphscriptslvarcomma lilyGlyphscriptsustaccatissimo

lilyGlyphscriptsmordent lilyGlyphscriptsuverylongfermata

lilyGlyphscriptsopen lilyGlyphscriptsvarcoda

lilyGlyphscriptsprall lilyGlyphscriptsvarsegno

lilyGlyphscriptspralldown

lilylyp s defines fermata as a shorter name for ldquo rdquo thanlilyGlyphscriptsufermata See Table 438

Table 442 lilylyp s Named Rests

lilyGlyphrests0 lilyGlyphrests4mensural

lilyGlyphrests0mensural lilyGlyphrests4neomensural

lilyGlyphrests0neomensural lilyGlyphrests5

lilyGlyphrests0o lilyGlyphrests6

lilyGlyphrests1 lilyGlyphrests7

lilyGlyphrests1mensural lilyGlyphrestsM1

lilyGlyphrests1neomensural lilyGlyphrestsM1mensural

lilyGlyphrests1o lilyGlyphrestsM1neomensural

lilyGlyphrests2 lilyGlyphrestsM1o

lilyGlyphrests2classical lilyGlyphrestsM2

lilyGlyphrests2mensural lilyGlyphrestsM2mensural

lilyGlyphrests2neomensural lilyGlyphrestsM2neomensural

lilyGlyphrests3 lilyGlyphrestsM3



lilyGlyphrests4


Table 443 lilylyp s Named Pedals

lilyGlyphpedal lilyGlyphpedalM

lilyGlyphpedal lilyGlyphpedalP

lilyGlyphpedald lilyGlyphpedalPed

lilyGlyphpedale

170

Table 444 lilylyp s Named Flags

lilyGlyphflagsd3 lilyGlyphflagsmensuralu03





lilyGlyphflagsdgrace lilyGlyphflagsmensuralu14

lilyGlyphflagsmensurald03 lilyGlyphflagsmensuralu15






lilyGlyphflagsmensurald15 lilyGlyphflagsu3





lilyGlyphflagsmensurald26 lilyGlyphflagsugrace

Table 445 lilylyp s Named Custodes

lilyGlyphcustodeshufnageld0 lilyGlyphcustodesmensurald0



lilyGlyphcustodeshufnagelu0 lilyGlyphcustodesmensuralu0



lilyGlyphcustodesmedicaead0 lilyGlyphcustodesvaticanad0



lilyGlyphcustodesmedicaeau0 lilyGlyphcustodesvaticanau0



171

Table 446 lilylyp s Named Clefs

lilyGlyphclefsblackmensuralc lilyGlyphclefsmensuralg_change

lilyGlyphclefsblackmensuralc_change lilyGlyphclefsneomensuralc

lilyGlyphclefsC lilyGlyphclefsneomensuralc_change

lilyGlyphclefsC_change lilyGlyphclefspercussion

lilyGlyphclefsF lilyGlyphclefspercussion_change

lilyGlyphclefsF_change lilyGlyphclefspetruccic1

lilyGlyphclefsG lilyGlyphclefspetruccic1_change

lilyGlyphclefsG_change lilyGlyphclefspetruccic2

lilyGlyphclefshufnageldo lilyGlyphclefspetruccic2_change

lilyGlyphclefshufnageldofa lilyGlyphclefspetruccic3

lilyGlyphclefshufnageldofa_change lilyGlyphclefspetruccic3_change

lilyGlyphclefshufnageldo_change lilyGlyphclefspetruccic4

lilyGlyphclefshufnagelfa lilyGlyphclefspetruccic4_change

lilyGlyphclefshufnagelfa_change lilyGlyphclefspetruccic5

lilyGlyphclefskievando lilyGlyphclefspetruccic5_change

lilyGlyphclefskievando_change lilyGlyphclefspetruccif

lilyGlyphclefsmedicaeado lilyGlyphclefspetruccif_change

lilyGlyphclefsmedicaeado_change lilyGlyphclefspetruccig

lilyGlyphclefsmedicaeafa lilyGlyphclefspetruccig_change

lilyGlyphclefsmedicaeafa_change lilyGlyphclefstab

lilyGlyphclefsmensuralc lilyGlyphclefstab_change

lilyGlyphclefsmensuralc_change lilyGlyphclefsvaticanado

lilyGlyphclefsmensuralf lilyGlyphclefsvaticanado_change

lilyGlyphclefsmensuralf_change lilyGlyphclefsvaticanafa

lilyGlyphclefsmensuralg lilyGlyphclefsvaticanafa_change


172

Table 447 lilylyp s Named Noteheads

lilyGlyphnoteheadsd0doFunk

lilyGlyphnoteheadsd0fa

lilyGlyphnoteheadsd0faFunk

lilyGlyphnoteheadsd0faThin

lilyGlyphnoteheadsd0miFunk

lilyGlyphnoteheadsd0reFunk

lilyGlyphnoteheadsd0tiFunk

lilyGlyphnoteheadsd1do


lilyGlyphnoteheadsd1doThin

lilyGlyphnoteheadsd1doWalker




lilyGlyphnoteheadsd1faWalker


lilyGlyphnoteheadsd1re


lilyGlyphnoteheadsd1reThin

lilyGlyphnoteheadsd1reWalker

lilyGlyphnoteheadsd1ti


lilyGlyphnoteheadsd1tiThin

lilyGlyphnoteheadsd1tiWalker

lilyGlyphnoteheadsd1triangle









lilyGlyphnoteheadsd2kievan











lilyGlyphnoteheadsdM2

lilyGlyphnoteheadsdM2blackmensural


173


lilyGlyphnoteheadsdM2mensural

lilyGlyphnoteheadsdM2neomensural

lilyGlyphnoteheadsdM2semimensural





lilyGlyphnoteheadsdrM2mensural

lilyGlyphnoteheadsdrM2neomensural

lilyGlyphnoteheadsdrM2semimensural




lilyGlyphnoteheadss0

lilyGlyphnoteheadss0blackmensural

lilyGlyphnoteheadss0blackpetrucci

lilyGlyphnoteheadss0cross

lilyGlyphnoteheadss0diamond

lilyGlyphnoteheadss0do

lilyGlyphnoteheadss0doThin

lilyGlyphnoteheadss0doWalker

lilyGlyphnoteheadss0faWalker

lilyGlyphnoteheadss0harmonic

lilyGlyphnoteheadss0kievan

lilyGlyphnoteheadss0la

lilyGlyphnoteheadss0laFunk

lilyGlyphnoteheadss0laThin

lilyGlyphnoteheadss0laWalker

lilyGlyphnoteheadss0mensural

lilyGlyphnoteheadss0mi

lilyGlyphnoteheadss0miMirror

lilyGlyphnoteheadss0miThin

lilyGlyphnoteheadss0miWalker

lilyGlyphnoteheadss0neomensural

lilyGlyphnoteheadss0petrucci

lilyGlyphnoteheadss0re

lilyGlyphnoteheadss0reThin

lilyGlyphnoteheadss0reWalker

lilyGlyphnoteheadss0slash

lilyGlyphnoteheadss0sol

lilyGlyphnoteheadss0solFunk

lilyGlyphnoteheadss0ti

lilyGlyphnoteheadss0tiThin

lilyGlyphnoteheadss0tiWalker

lilyGlyphnoteheadss0triangle





174





























lilyGlyphnoteheadss2miFunk









lilyGlyphnoteheadss2xcircle

lilyGlyphnoteheadsshufnagellpes

lilyGlyphnoteheadsshufnagelpunctum

lilyGlyphnoteheadsshufnagelvirga

lilyGlyphnoteheadssM1

lilyGlyphnoteheadssM1blackmensural

lilyGlyphnoteheadssM1double

lilyGlyphnoteheadssM1kievan

lilyGlyphnoteheadssM1mensural

lilyGlyphnoteheadssM1neomensural

lilyGlyphnoteheadssM1semimensural

lilyGlyphnoteheadssM2blackligmensural



175


lilyGlyphnoteheadssM2ligmensural

lilyGlyphnoteheadssM2semiligmensural




lilyGlyphnoteheadssmedicaeainclinatum

lilyGlyphnoteheadssmedicaeapunctum

lilyGlyphnoteheadssmedicaearvirga

lilyGlyphnoteheadssmedicaeavirga

lilyGlyphnoteheadssr1kievan

lilyGlyphnoteheadssrM1mensural

lilyGlyphnoteheadssrM1neomensural

lilyGlyphnoteheadssrM1semimensural

lilyGlyphnoteheadssrM2ligmensural

lilyGlyphnoteheadssrM2semiligmensural



lilyGlyphnoteheadsssolesmesauctasc

lilyGlyphnoteheadsssolesmesauctdesc

lilyGlyphnoteheadsssolesmesinclauctum

lilyGlyphnoteheadsssolesmesinclparvum

lilyGlyphnoteheadsssolesmesoriscus

lilyGlyphnoteheadsssolesmesstropha

lilyGlyphnoteheadsssolesmesstrophaaucta

lilyGlyphnoteheadssvaticanacephalicus

lilyGlyphnoteheadssvaticanaepiphonus

lilyGlyphnoteheadssvaticanainclinatum

lilyGlyphnoteheadssvaticanainnercephalicus

lilyGlyphnoteheadssvaticanalineapunctum

lilyGlyphnoteheadssvaticanalineapunctumcavum

lilyGlyphnoteheadssvaticanalpes

lilyGlyphnoteheadssvaticanaplica

lilyGlyphnoteheadssvaticanapunctum

lilyGlyphnoteheadssvaticanapunctumcavum

lilyGlyphnoteheadssvaticanaquilisma

lilyGlyphnoteheadssvaticanareverseplica

lilyGlyphnoteheadssvaticanareversevplica

lilyGlyphnoteheadssvaticanaupes

lilyGlyphnoteheadssvaticanavepiphonus

lilyGlyphnoteheadssvaticanavlpes

lilyGlyphnoteheadssvaticanavplica

lilyGlyphnoteheadssvaticanavupes

lilyGlyphnoteheadsu0doFunk

lilyGlyphnoteheadsu0fa

lilyGlyphnoteheadsu0faFunk

lilyGlyphnoteheadsu0faThin

lilyGlyphnoteheadsu0miFunk

lilyGlyphnoteheadsu0reFunk

lilyGlyphnoteheadsu0tiFunk


176


lilyGlyphnoteheadsu1do


lilyGlyphnoteheadsu1doThin

lilyGlyphnoteheadsu1doWalker




lilyGlyphnoteheadsu1faWalker


lilyGlyphnoteheadsu1re


lilyGlyphnoteheadsu1reThin

lilyGlyphnoteheadsu1reWalker

lilyGlyphnoteheadsu1ti


lilyGlyphnoteheadsu1tiThin

lilyGlyphnoteheadsu1tiWalker

lilyGlyphnoteheadsu1triangle









lilyGlyphnoteheadsu2kievan











lilyGlyphnoteheadsuM2

lilyGlyphnoteheadsuM2blackmensural

lilyGlyphnoteheadsuM2mensural

lilyGlyphnoteheadsuM2neomensural

lilyGlyphnoteheadsuM2semimensural





lilyGlyphnoteheadsurM2mensural


177


lilyGlyphnoteheadsurM2neomensural

lilyGlyphnoteheadsurM2semimensural




Table 448 lilylyp s Named Accordion Symbols

lilyGlyphaccordionbayanbass lilyGlyphaccordionoldEE

lilyGlyphaccordiondiscant lilyGlyphaccordionpull

lilyGlyphaccordiondot lilyGlyphaccordionpush

lilyGlyphaccordionfreebass lilyGlyphaccordionstdbass

lilylyp s defines shorter names for all of these symbols exceptlilyGlyphaccordiondot See Table 439

Table 449 lilylyp s Named Accidentals

lilyGlyphaccidentalsdoublesharp

lilyGlyphaccidentalsflat

lilyGlyphaccidentalsflatarrowboth

lilyGlyphaccidentalsflatarrowdown

lilyGlyphaccidentalsflatarrowup

lilyGlyphaccidentalsflatslash

lilyGlyphaccidentalsflatslashslash

lilyGlyphaccidentalsflatflat

lilyGlyphaccidentalsflatflatslash

lilyGlyphaccidentalshufnagelM1

lilyGlyphaccidentalskievan1

lilyGlyphaccidentalskievanM1

lilyGlyphaccidentalsleftparen

lilyGlyphaccidentalsmedicaeaM1

lilyGlyphaccidentalsmensural1

lilyGlyphaccidentalsmensuralM1

lilyGlyphaccidentalsmirroredflat

lilyGlyphaccidentalsmirroredflatbackslash


178


lilyGlyphaccidentalsmirroredflatflat

lilyGlyphaccidentalsnatural

lilyGlyphaccidentalsnaturalarrowboth

lilyGlyphaccidentalsnaturalarrowdown

lilyGlyphaccidentalsnaturalarrowup

lilyGlyphaccidentalsrightparen

lilyGlyphaccidentalssharp

lilyGlyphaccidentalssharparrowboth

lilyGlyphaccidentalssharparrowdown

lilyGlyphaccidentalssharparrowup

lilyGlyphaccidentalssharpslashslashstem

lilyGlyphaccidentalssharpslashslashstemstemstem

lilyGlyphaccidentalssharpslashslashslashstem

lilyGlyphaccidentalssharpslashslashslashstemstem

lilyGlyphaccidentalsvaticana0

lilyGlyphaccidentalsvaticanaM1


Table 450 lilylyp s Named Arrowheads

lilyGlypharrowheadsclose01 lilyGlypharrowheadsopen01

lilyGlypharrowheadsclose0M1 lilyGlypharrowheadsopen0M1



Table 451 lilylyp s Named Alphanumerics and Punctuation

lilyGlyphzero lilyGlyphfour lilyGlypheight

lilyGlyphone lilyGlyphfive lilyGlyphnine

lilyGlyphtwo lilyGlyphsix

lilyGlyphthree lilyGlyphseven

lilyGlyphf lilyGlyphp lilyGlyphs

lilyGlyphm lilyGlyphr lilyGlyphz

lilyGlyphcomma lilyGlyphperiod

lilyGlyphhyphen lilyGlyphplus

See Table 435 for an alternative way to typeset dynamics letters lilylyp s addi-tionally provides a lilyText command that can be useful for typesetting groups

of the preceding symbols See the lilylyp s documentation for more information

179

Table 452 Miscellaneous lilylyp s Named Musical Symbols

lilyGlyphbrackettipsdown lilyGlyphdotsdotvaticana

lilyGlyphbrackettipsup lilyGlyphtieslyricdefault

lilyGlyphdotsdot lilyGlyphtieslyricshort

lilyGlyphdotsdotkievan

180

8 Other symbols

The following are all the symbols that didnrsquot fit neatly or unambiguously into any of the previous sections(Do weather symbols belong under ldquoScience and technologyrdquo Should dice be considered ldquomathematicsrdquo)While some of the tables contain clearly related groups of symbols (eg symbols related to various boardgames) others represent motley assortments of whatever the font designer felt like drawing

Table 453 textcomp Genealogical Symbols

b textborn c textdivorced m textmarried

d textdied l textleaf

Table 454 wasysym General Symbols

m ataribox clock LEFTarrow RIGHTarrow

bell diameter leftturn rightturn

- blacksmiley L DOWNarrow lightning smiley

1 Bowtie frownie phone sun

| brokenvert invdiameter pointer K UParrow

checked 6 kreuz recorder loz wasylozenge

Table 455 manfnt Dangerous Bend Symbols

dbend ~ lhdbend reversedvideodbend

Note that these symbols descend far beneath the baseline manfnt also defines non-descending versions which it calls correspondingly textdbend textlhdbendand textreversedvideodbend

Table 456 Miscellaneous manfnt Symbols

manboldkidney manpenkidney

$ manconcentriccircles amp manquadrifolium

manconcentricdiamond manquartercircle

mancone manrotatedquadrifolium

mancube manrotatedquartercircle

y manerrarrow manstar

manfilledquartercircle mantiltpennib

manhpennib 7 mantriangledown

manimpossiblecube x mantriangleright

mankidney 6 mantriangleup

manlhpenkidney manvpennib

181

Table 457 marvosym Media Control Symbols

middot Forward raquo MoveDown acute RewindToIndex frac14 ToTop

cedil ForwardToEnd ordm MoveUp micro RewindToStart

sup1 ForwardToIndex para Rewind frac12 ToBottom

Table 458 marvosym Laundry Symbols

Oslash AtForty Uuml Handwash Ocirc ShortNinetyFive

Oacute AtNinetyFive macr IroningI Ouml ShortSixty

Otilde AtSixty deg IroningII Ucirc ShortThirty

Euml Bleech plusmn IroningIII Uacute SpecialForty

laquo CleaningA Igrave NoBleech Tumbler

frac34 CleaningF uml NoChemicalCleaning WashCotton

iquest CleaningFF sup2 NoIroning WashSynthetics

not CleaningP NoTumbler WashWool

icirc CleaningPP times ShortFifty

Yacute Dontwash Ugrave ShortForty

Table 459 marvosym Information Symbols

reg Bicycle x Gentsroom Z PointingHand

U ClockLogo I Industry w Wheelchair

K Coffeecup i Info b WritingHand

o Football y Ladiesroom

Table 460 Other marvosym Symbols

Ankh yen Bouquet Heart f PeaceDove

yacute Bat Celtcross yuml ManFace copy Smiley

F BOLogo ordf CircledA sup3 MineSign thorn WomanFace

M BOLogoL Cross m Mundus Y Yinyang

N BOLogoP sect Frowny MVAt

Table 461 Miscellaneous universa Symbols

Ξ bauforms Λ bauhead

Table 462 Miscellaneous fourier Symbols

L bomb M grimace N textthing T textxswup

B danger A noway U textxswdown

fourier defines math-mode synonyms for a few of the preceding symbolsthething (ldquoNrdquo) xswordsup (ldquoTrdquo) and xswordsdown (ldquoUrdquo)

182

Table 463 ifsym Weather Symbols

Cloud Hail Sleet WeakRain

FilledCloud HalfSun Snow WeakRainCloud

FilledRainCloud Lightning SnowCloud $ FilledSnowCloud

FilledSunCloud NoSun Sun

FilledWeakRainCloud Rain SunCloud

Fog RainCloud ThinFog

In addition Thermo0 Thermo6 produce thermometers that are between

06 and 66 full of mercury

Similarly wind⟨sun⟩⟨angle⟩⟨strength⟩ will draw wind symbols with a

given amount of sun (0ndash4) a given angle (in degrees) and a given strength in

kmh (0ndash100) For example wind000 produces ldquo 0 rdquo wind200

produces ldquo 0 rdquo and wind40100 produces ldquo rdquo

Table 464 ifsym Alpine Symbols

SummitSign Summit SurveySign HalfFilledHut

StoneMan Mountain Joch VarSummit

Hut IceMountain Flag

FilledHut VarMountain VarFlag

Village VarIceMountain Tent

Table 465 ifsym Clocks

Interval StopWatchStart VarClock Wecker

StopWatchEnd Taschenuhr VarTaschenuhr

ifsym also exports a showclock macro showclock⟨hours⟩⟨minutes⟩outputs a clock displaying the corresponding time For instanceldquoshowclock540rdquo produces ldquoDrdquo ⟨hours⟩ must be an integer from 0 to 11and ⟨minutes⟩ must be an integer multiple of 5 from 0 to 55

Table 466 Other ifsym Symbols

FilledSectioningDiamond Letter Radiation

Fire PaperLandscape SectioningDiamond

Irritant PaperPortrait ( Telephone

Cube1 Cube3 Cube5

Cube2 Cube4 Cube6

StrokeOne StrokeThree StrokeFive

StrokeTwo StrokeFour

183

Table 467 clock Clocks

ClockStyle ClockFramefalse ClockFrametrue

0 i i01 i1 i102 i2 i203 i3 i30

The clock package provides a clock command to typeset an arbitrary time onan analog clock (and clocktime to typeset the documentrsquos build time) Forexample the clocks in the above table were produced with clock1541Clock symbols are composed from a font of clock-face fragments using one offour values for ClockStyle and either ClockFrametrue or ClockFrametrue

as illustrated above See the clock documentation for more information

Table 468 epsdice Dice

epsdice1 epsdice3 epsdice5


Table 469 hhcount Dice

fcdice1 fcdice3 fcdice5


The fcdice command accepts values larger than 6 For exampleldquofcdice47rdquo produces ldquo rdquo

Table 470 stix Dice

dicei diceiii dicev

diceii diceiv dicevi

184

Table 471 bullcntr Tally Markers

∙ bullcntr⟨1 ⟩ ∙∙ ∙∙ bullcntr⟨4 ⟩ ∙∙∙∙∙∙∙ bullcntr⟨7 ⟩

∙ ∙ bullcntr⟨2 ⟩ ∙ ∙∙∙ ∙ bullcntr⟨5 ⟩ ∙∙∙∙∙∙∙∙ bullcntr⟨8 ⟩

∙∙ ∙ bullcntr⟨3 ⟩ ∙∙

∙ ∙∙∙ bullcntr⟨6 ⟩ ∙∙∙

∙∙∙∙∙∙ bullcntr⟨9 ⟩

The notation for bullcntr used in the above bears explanation bullcntr doesnot take a number as its argument but rather a LATEX counter whose value ituses to typeset a tally marker ldquobullcntr⟨3 ⟩rdquo for example means to invokebullcntr with a counter whose value is 3 (bullcntr usage is therefore akin tothat of LATEXrsquos fnsymbol) The intention is to use bullcntr indirectly via thebullenum packagersquos bullenum environment which is a variation on the enumerateenvironment that uses bullcntr to typeset the labels

To typeset individual tally markers one can define a helper command

newcounterbull

newcommandshowbullcntr[1]

setcounterbull1

bullcntrbull

bullcntrrsquos package options smallctrbull largectrbull and heartctrbull and corre-sponding commands smallctrbull largectrbull and heartctrbull con-trol the formatting of each tally marker

small large heart

bullcntr⟨5 ⟩ ∙ ∙∙

∙ ∙∙ ∙∙∙ ∙

The default is smartctrbull (smartctrbull) which maps counter values 1ndash5 tolarge pips and 6ndash9 to small pips It is also possible to use arbitrary symbols forbullcntrrsquos pips See the bullcntr documentation for more information

Table 472 hhcount Tally Markers

fcscore1 fcscore3 fcscore5

fcscore2 fcscore4

The fcscore command accepts values larger than 5 For exampleldquofcscore47rdquo produces ldquo rdquo

Table 473 dozenal Tally Markers

1 tally1 3 tally3 5 tally5


185

Table 474 skull Symbols

A skull

Table 475 Non-Mathematical mathabx Symbols

O rip

Table 476 skak Chess Informator Symbols

g bbetter d doublepawns q seppawns

i bdecisive L ending O-O shortcastling

b betteris j equal T timelimit

a bishoppair H file k unclear

e bupperhand O kside u unitedpawns

X capturesymbol O-O-O longcastling R various

O castlingchar x markera f wbetter

- castlinghyphen y markerb h wdecisive

I centre m mate J weakpt

+ checksymbol S morepawns v with

RR chesscomment U moreroom A withattack

P chessetc N novelty E withidea

l chesssee F onlymove C withinit

n compensation o opposbishops w without

V counterplay r passedpawn c wupperhand

t devadvantage M qside D zugzwang

G diagonal s samebishops

186

Table 477 skak Chess Pieces and Chessboard Squares

a BlackBishopOnBlack s BlackRookOnBlack J WhiteKingOnBlack

b BlackBishopOnWhite r BlackRookOnWhite K WhiteKingOnWhite

Z BlackEmptySquare B symbishop M WhiteKnightOnBlack

j BlackKingOnBlack K symking N WhiteKnightOnWhite

k BlackKingOnWhite N symknight O WhitePawnOnBlack

m BlackKnightOnBlack p sympawn P WhitePawnOnWhite

n BlackKnightOnWhite Q symqueen L WhiteQueenOnBlack

o BlackPawnOnBlack R symrook Q WhiteQueenOnWhite

p BlackPawnOnWhite A WhiteBishopOnBlack S WhiteRookOnBlack

l BlackQueenOnBlack B WhiteBishopOnWhite R WhiteRookOnWhite

q BlackQueenOnWhite 0 WhiteEmptySquare

The skak package also provides commands for drawing complete chessboards Seethe skak documentation for more information

Table 478 igo Go Symbols

blackstone[igocircle] whitestone[igocircle]

| blackstone[igocross] | whitestone[igocross]

blackstone[igonone] whitestone[igonone]

~ blackstone[igosquare] ~ whitestone[igosquare]

blackstone[igotriangle] whitestone[igotriangle]

In addition to the symbols shown above igorsquos blackstone and whitestone

commands accept numbers from 1 to 99 and display them circled as

c and c respectively

The igo package is intended to typeset complete Go boards (goban) See the igodocumentation for more information

187

Table 479 go Go Symbols

botborder lftbotcorner rttopcorner

empty lfttopcorner ~ square

hoshi rtborder topborder

lftborder rtbotcorner triangle

In addition to the board fragments and stones shown above gorsquos black andwhite commands accept numbers from 1 to 253 and display them circled as

and respectively black and white

additionally accept square and triangle as arguments producing~ and and

for black and ~ and and for white

The go package is intended to typeset complete Go boards (goban) See the godocumentation for more information

Table 480 metre Metrical Symbols

times

amacr

bBm cc ˘ Mbb ˙˙

Pppp otimes

t

˘ Bmacr

bbm Ccc ˘ macrmbbx ˙

˙pppp tsbm

˘ bmacr

Bbmmacr

m ∘∘ oo ˙˙

Ppppp tsmb

˘ Bb ˘ bbmbmacr

M˙

p ˙˙

ppppp tsmm

˘ BBmacr ˘

bbmx timesmacr mamacr

pm psmacr

vppm

˘ bbmacr

bm ˘ Mb ˙ pp ˙ pxpmacr

vpppm

˘ bBmacr

Bm ˘ mb ˙ Pp ˙ Pxp ˙˙ x

times bba c ˘ mBbmacr

ppm sim

R

˘ bbb C ˘ mbB ˙˙

ppp sim

r

macrBBm Cc ˘ mbb ˙

˙Ppp otimes

T

The preceding symbols are valid only within the argument to the metre command

Table 481 metre Small and Large Metrical Symbols

divide anaclasis divide Anaclasislt antidiple lt Antidipleltmiddotmiddot antidiple ltmiddotmiddot Antidiplesup antisigma sup Antisigma

timesmiddotmiddotmiddotmiddot asteriscus timesmiddotmiddotmiddotmiddot Asteriscus

and catalexis and Catalexisgt diple gt Diplegtmiddotmiddot diple gtmiddotmiddot Diple

obelus Obelusmiddotmiddot obelus middotmiddot Obelussim respondens sim Respondensotimes terminus otimes Terminusoplus terminus oplus Terminus

188

Table 482 teubner Metrical Symbols

Ι aeolicbii ι barbrevis η ipercatal

Θ aeolicbiii ς bbrevis λ longa

Κ aeolicbiv β brevis ε ubarbbrevis

Ξ anceps γ catal δ ubarbrevis

Ζ ancepsdbrevis corona φ ubarsbrevis

Ψ banceps Ϙ coronainv κ ubrevislonga

θ barbbrevis H hiatus

The teubner package provides a newmetrics command that helps users com-bine the preceding symbols as well as other teubner symbols For examplethe predefined pentam symbol uses newmetrics to juxtapose six longas twobarbbrevises four brevises and a dBar into ldquoλθλθλ||λββλββλrdquo Seethe teubner documentation for more information

Table 483 dictsym Dictionary Symbols

a dsaeronautical c dscommercial m dsmedical

G dsagricultural H dsheraldical X dsmilitary

A dsarchitectural J dsjuridical R dsrailways

B dsbiological L dsliterary T dstechnical

C dschemical M dsmathematical

Table 484 simpsons Characters from The Simpsons Bart

Homer Maggie SNPP

Burns

Lisa

Marge

The location of the charactersrsquo pupils can be controlled with the Goofy commandSee A METAFONT of lsquoSimpsonsrsquo characters [Che97] for more information Alsoeach of the above can be prefixed with Left to make the character face leftinstead of right

LeftBart

189

Table 485 pmboxdraw Box-Drawing Symbols

textblock textSFli textSFxli textSFxxiii

textdkshade textSFlii textSFxlii textSFxxiv

textdnblock textSFliii textSFxliii textSFxxv

textlfblock textSFliv textSFxliv textSFxxvi

textltshade textSFv textSFxlix textSFxxvii

textrtblock textSFvi textSFxlv textSFxxviii

textSFi textSFvii textSFxlvi textSFxxxix

textSFii textSFviii textSFxlvii textSFxxxvi

textSFiii textSFx textSFxlviii textSFxxxvii

textSFiv textSFxi textSFxx textSFxxxviii

textSFix textSFxix textSFxxi textshade

textSFl textSFxl textSFxxii textupblock

Code Page 437 (CP437) which was first utilized by the original IBM PC containsthe set of box-drawing symbols (sides corners and intersections of single- anddouble-ruled boxes) shown above in character positions 176ndash223 These symbolsalso appear in the Unicode Box Drawing and Block Element tables

The pmboxdraw package draws the CP437 box-drawing symbols using TEX rules(specifically vrule) instead of with a font and thereby provides the ability toalter both rule width and the separation between rules See the pmboxdraw doc-umentation for more information

Table 486 staves Magical Staves

staveI staveXXIV staveXLVII

staveII staveXXV staveXLVIII

staveIII staveXXVI 0 staveXLIX

staveIV staveXXVII 1 staveL

staveV staveXXVIII 2 staveLI

staveVI staveXXIX 3 staveLII

staveVII staveXXX 4 staveLIII

staveVIII staveXXXI 5 staveLIV

staveIX staveXXXII 6 staveLV


190


staveX staveXXXIII 7 staveLVI

staveXI staveXXXIV 8 staveLVII

staveXII staveXXXV 9 staveLVIII

staveXIII staveXXXVI staveLIX

13 staveXIV $ staveXXXVII staveLX

staveXV staveXXXVIII lt staveLXI

staveXVI amp staveXXXIX = staveLXII

staveXVII staveXL gt staveLXIII

staveXVIII ( staveXLI staveLXIV

staveXIX ) staveXLII staveLXV

staveXX staveXLIII A staveLXVI

staveXXI + staveXLIV B staveLXVII

staveXXII staveXLV C staveLXVIII

staveXXIII - staveXLVI

The meanings of these symbols are described on the Web site for the Mu-seum of Icelandic Sorcery and Witchcraft at httpwwwgaldrasyningisindexphpoption=com contentamptask=categoryampsectionid=5ampid=

18ampItemid=60 (TinyURL httptinyurlcom25979m) For example

staveL (ldquo1rdquo) is intended to ward off ghosts and evil spirits

Table 487 pigpen Cipher Symbols

A pigpenfont A J pigpenfont J S pigpenfont S

B pigpenfont B K pigpenfont K T pigpenfont T

C pigpenfont C L pigpenfont L U pigpenfont U

D pigpenfont D M pigpenfont M V pigpenfont V

E pigpenfont E N pigpenfont N W pigpenfont W

F pigpenfont F O pigpenfont O X pigpenfont X

G pigpenfont G P pigpenfont P Y pigpenfont Y

H pigpenfont H Q pigpenfont Q Z pigpenfont Z

I pigpenfont I R pigpenfont R

Table 488 ChinA2e Phases of the Moon

ndash MoonPha1 mdash MoonPha2 ˝ MoonPha3 ˜ MoonPha4

191

Table 489 ChinA2e Recycling Symbols

uml Greenpoint

Table 490 marvosym Recycling Symbols

szlig PackingWaste THORN Recycling

Table 491 recycle Recycling Symbols

A recycleA Recycle

A RECYCLE

The METAFONT code that implements the recycling symbols shown aboveis in the words of its author ldquoawful code [that] doesnrsquot even put the logoin a box (properly)rdquo Expect to receive ldquoInconsistent equation (off by

⟨number⟩)rdquo errors from METAFONT Fortunately if you tell METAFONT to pro-ceed past those errors (eg by pressing Enter after each one or by specifyingldquo-interaction=nonstopmoderdquo on the METAFONT command line) it should pro-duce a valid font

The commands listed above should be used within a group (eg ldquorecyclerdquo)because they exhibit the side effect of changing the font to the recycle font

Table 492 Other ChinA2e Symbols

iexcl Info iquest Request

Postbox Telephone

192

Table 493 soyombo Soyombo Symbols

Soyombo ndash sA ˝ sO

These symbols require that the Soyombo font be active (ldquosoyombo rdquo)

Table 494 knitting Knitting Symbols

textknit [[ textknit[ QQ textknitQ

textknit ]] textknit] qq textknitq

(( textknit( AA textknitA RR textknitR

)) textknit) aa textknita rr textknitr

textknit BB textknitB SS textknitS

-- textknit- bb textknitb ss textknits

22 textknit2 EE textknitE TT textknitT

33 textknit3 FF textknitF tt textknitt

44 textknit4 ff textknitf UU textknitU

55 textknit5 HH textknitH uu textknitu

66 textknit6 hh textknith VV textknitV

77 textknit7 II textknitI vv textknitv

88 textknit8 ii textkniti WW textknitW

99 textknit9 JJ textknitJ ww textknitw

textknit jj textknitj XX textknitX

textknit LL textknitL xx textknitx

ltlt textknitlt ll textknitl YY textknitY

== textknit= MM textknitM yy textknity

gtgt textknitgt mm textknitm ZZ textknitZ

textknit OO textknitO zz textknitz

The knitting package is intended to typeset complete knitting charts See theknitting documentation for more information

Some symbols behave differently when used as part of a sequence Forexample contrast textknit1 (ldquo11rdquo) textknit11 (ldquo1bdquo1bdquordquo) andtextknit111 (ldquo1rdquobdquo1rdquobdquordquo) Similarly contrast textknit (ldquo rdquo) andtextknit (ldquolaquolaquordquo) Again see the knitting documentation for more infor-mation

193

Table 495 CountriesOfEurope Country Maps Albania Latvia Andorra Liechtenstein Austria Lithuania Belarus Luxembourg Belgium Macedonia Bosnia Malta Bulgaria Moldova Croatia Montenegro Czechia Netherlands

Denmark Norway Estonia Poland

Finland Portugal

France Romania


194


Germany iexcl Serbia

GreatBritain cent Slovakia

Greece pound Slovenia

Hungary curren Spain

Iceland yen Sweden Ireland brvbar Switzerland

Italy

The preceding commands work only when the CountriesOfEurope font familyis active For convenience the package defines a CountriesOfEuropeFamily

command that switches to that font family

By default countries are drawn in the current font size HenceldquoCountriesOfEuropeFamilyFrancerdquo draws a nearly unrecognizable ldquordquoFor clarity of presentation Table 495 scales each glyph to 72 pt via an explicitfontsize7272 An alternative is to specify the scaled package option toscale all country glyphs by a given factor of the font size

195

Table 496 Miscellaneous arev Symbols

anchor invsmileface skull warning

biohazard radiation smileface yinyang

heavyqtleft recycle steaming

heavyqtright sadface swords

Table 497 cookingsymbols Cooking Symbols

Bottomheat Fork Knife Topbottomheat

Dish Gasstove Oven Topheat

Fanoven Gloves Spoon

Table 498 tikzsymbols Cooking Symbols

bakingplate cooker oven rollingpin

blender eggbeater pan sieve

bottle fryingpan peeler squeezer

bowl grater pot trident

tikzsymbols defines German-language aliases for each of the above Backblech

for bakingplate Bratpfanne for fryingpan Dreizack for tridentFlasche for bottle Herd for cooker Kochtopf for pot Nudelholz forrollingpin Ofen for oven Pfanne for pan Purierstab for blenderReibe for grater Saftpresse for squeezer Schaler for peelerSchneebesen for eggbeater Schussel for bowl and Sieb for sieve

All tikzsymbols symbols are implemented with TikZ graphics not with a font

Table 499 tikzsymbols Emoticons

Annoey Neutrey rWalley Vomey

Cat NiceReapey Sadey Walley

Cooley Ninja Sey Winkey

Innocey Nursey copy Smiley wInnocey

Laughey oldWinkey Tongey Xey

All tikzsymbols symbols are implemented with TikZ graphics not with a fontHence symbols like Ninja can include color In fact most of the commandsshown above accept one or more color arguments for further customization Seethe tikzsymbols documentation for more information

196

Table 500 tikzsymbols 3D Emoticons

dAnnoey dNinja dSmiley dXey

dCooley dNursey dTongey olddWinkey

dInnocey drWalley dVomey

dLaughey dSadey dWalley

dNeutrey dSey dWinkey

All tikzsymbols symbols are implemented with TikZ graphics not with a fontHence all of the symbols shown above can include color In fact each commandin Table 500 accepts one or more color arguments for further customization Seethe tikzsymbols documentation for more information

Table 501 tikzsymbols Trees

Autumntree Summertree WorstTree

Springtree Wintertree

All tikzsymbols symbols are implemented with TikZ graphics not with a fontHence all of the symbols shown above can include color tikzsymbols additionallydefines a BasicTree command that supports customization of trunk and leafcolors See the tikzsymbols documentation for more information

Table 502 Miscellaneous tikzsymbols Symbols

Bed Chair Fire Snowman Tribar

Candle K Coffeecup Moai Strichmaxerl

All tikzsymbols symbols are implemented with TikZ graphics not with a fontTribar supports customization of the fill color for each bar Strichmaxerl

supports customization of the angles at which the stick figurersquos arms and legs aredrawn See the tikzsymbols documentation for more information

Table 503 Miscellaneous bclogo Symbols

bcattention bcetoile bcpanchant

bcbombe bcfemme bcpeaceandlove

bcbook bcfeujaune bcpluie


197


1JAN bccalendrier bcfeurouge bcplume

bccle bcfeutricolore bcpoisson

bcclefa bcfeuvert bcquestion

bcclesol bcfleur bcrecyclage

bccoeur bchomme bcrosevents

bccrayon bchorloge bcsmbh

bccube bcicosaedre bcsmmh

bcdallemagne bcinfo bcsoleil

bcdanger bcinterdit spades bcspadesuit

bcdautriche bclampeSTOP

bcstop

bcdbelgique bcloupe bctakecare

bcdbulgarie bcneige bctetraedre

bcdfrance bcnote bctrefle

bcditalie bcnucleaire bctrombone

bcdluxembourg bcoctaedre bcvaletcoeur

bcdodecaedre bcoeil bcvelo

bcdpaysbas bcorne bcyin

bcdz bcours

bceclaircie bcoutil

All bclogo symbols are implemented with TikZ (or alternatively PSTricks) graph-ics not with a font This is how the symbols shown above can include color

198

Table 504 fontawesome Web-Related Icons

iquest fa500px faFemale Oslash faPlane

egrave faAdjust m faFighterJet Ugrave faPlay

eacute faAdn n faFile Ucirc faPlayCircle

ecirc faAlignCenter 3 faFileArchiveO Uacute faPlayCircleO

euml faAlignJustify 4 faFileAudioO J faPlug

igrave faAlignLeft 6 faFileCodeO + faPlus

iacute faAlignRight 0 faFileExcelO Yacute faPlusCircle

Agrave faAmazon 2 faFileImageO Z faPlusSquare

icirc faAmbulance o faFileO THORN faPlusSquareO

iuml faAnchor faFilePdfO Ecirc faPowerOff

eth faAndroid 1 faFilePowerpointO szlig faPrint

h faAngellist lt faFilesO aacute faPuzzlePiece

D faAngleDoubleDown p faFileText faQq

E faAngleDoubleLeft q faFileTextO acirc faQrcode

F faAngleDoubleRight 5 faFileVideoO faQuestion

G faAngleDoubleUp faFileWordO auml faQuestionCircle

ntilde faAngleDown r faFilm aring faQuoteLeft

ograve faAngleLeft s faFilter aelig faQuoteRight

oacute faAngleRight t faFire ccedil faRandom

ocirc faAngleUp u faFireExtinguisher faRebel

faApple ordm faFirefox ( faRecycle

ouml faArchive v faFlag faReddit

^ faAreaChart x faFlagCheckered faRedditSquare

faAsterisk w faFlagO egrave faRefresh

[ faAt faFlask igrave faRenren

yacute faBackward y faFlickr iuml faReply

curren faBalanceScale uacute faFloppyO eth faReplyAll

thorn faBan z faFolder otilde faRetweet

yuml faBarChart faFolderO ouml faRoad

faBarcode | faFolderOpen divide faRocket

iacute faBars faFolderOpenO oslash faRss

faBatteryEmpty ~ faFont faRssSquare

faBatteryFull faFonticons cedil faSafari

faBatteryHalf n faForumbee faScissors

faBatteryQuarter faForward uuml faSearch

faBatteryThreeQuarters faFoursquare y faSearchMinus

faBed faFrownO x faSearchPlus

faBeer G faFutbolO o faSellsy

$ faBehance faGamepad faServer

faBehanceSquare copy faGavel thorn faShare

faBell para faGetPocket faShareAlt

faBellO c faGg E faShareAltSquare

W faBellSlash d faGgCircle yuml faShareSquare

X faBellSlashO faGift yacute faShareSquareO

e faBicycle lt faGit faShield

I faBinoculars faGithub v faShip

] faBirthdayCake faGithubAlt p faShirtsinbulk


199


[ faBitbucket faGithubSquare faShoppingCart

faBitbucketSquare faGitSquare faSignal

f faBlackTie faGlass faSignIn

faBold faGlobe faSignOut

faBolt faGoogle q faSimplybuilt

F faBomb faGooglePlus faSitemap

faBook faGooglePlusSquare r faSkyatlas

faBookmark R faGoogleWallet faSkype

faBookmarkO faGraduationCap faSlack

faBriefcase faGratipay D faSliders

13 faBug = faHackerNews K faSlideshare

faBuilding faHddO faSmileO

faBuildingO B faHeader faSort

faBullhorn faHeadphones faSortAlphaAsc

faBullseye hearts faHeart faSortAlphaDesc

f faBus z faHeartbeat faSortAmountAsc

l faBuysellads faHeartO faSortAmountDesc

P faCalculator faHistory faSortAsc

faCalendar faHome faSortDesc

Auml faCalendarCheckO faHospitalO 13 faSortNumericAsc

Acirc faCalendarMinusO copy faHourglass faSortNumericDesc

faCalendarO uml faHourglassEnd faSoundcloud

Aacute faCalendarPlusO sect faHourglassHalf faSpaceShuttle

Atilde faCalendarTimesO yen faHourglassO faSpinner

faCamera brvbar faHourglassStart faSpoon

faCameraRetro Igrave faHouzz faSpotify

) faCar faHSquare faStackExchange

faCaretDown faHtml5 faStackOverflow

faCaretLeft faICursor amp faSteam

faCaretRight faInbox faSteamSquare

4 faCaretSquareODown faIndent faStepBackward

faCaretSquareOLeft Aring faIndustry faStepForward

faCaretSquareORight faInfo faStethoscope

5 faCaretSquareOUp faInfoCircle faStickyNote

faCaretUp iexcl faInstagram faStickyNoteO

t faCartArrowDown frac14 faInternetExplorer faStop

s faCartPlus g faIoxhost y faStreetView

i faCc cent faItalic faStrikethrough

_ faCcAmex faJoomla ] faStumbleupon

cent faCcDinersClub 9 faJsfiddle faStumbleuponCircle

T faCcDiscover curren faKey faSubscript

iexcl faCcJcb yen faKeyboardO faSubway

S faCcMastercard ^ faLanguage faSuitcase

U faCcPaypal sect faLaptop faSuperscript

V faCcStripe a faLastfm faTable

faCcVisa b faLastfmSquare faTablet

faCertificate uml faLeaf A faTachometer

a faChainBroken b faLeanpub faTag

faChild ordf faLemonO $ faTags


200


sup1 faChrome laquo faLevelDown faTasks

ETH faClipboard not faLevelUp faTaxi

faClockO faLifeRing frac12 faTelevision

pound faClone shy faLightbulbO faTencentWeibo

faCloud ` faLineChart amp faTerminal

- faCloudDownload reg faLink faTextHeight

faCloudUpload macr faLinkedin ( faTextWidth

faCode deg faLinkedinSquare ) faTh

0 faCodeFork plusmn faLinux faThLarge

8 faCodepen sup2 faList + faThList

1 faCoffee sup3 faListAlt agrave faThumbTack

2 faCog Icirc faListOl faTicket

3 faCogs 9 faListUl 0 faTint

6 faColumns acute faLocationArrow c faToggleOff

7 faComment micro faLock d faToggleOn

Ecirc faCommenting ordm faMagic faTrain

Euml faCommentingO raquo faMagnet Y faTrash

8 faCommentO faMale 1 faTrashO

9 faComments Eacute faMap + faTree

faCommentsO frac12 faMapMarker 2 faTrello

faCompass Egrave faMapO acute faTripadvisor

oacute faCompress AElig faMapPin 3 faTrophy

m faConnectdevelop Ccedil faMapSigns 4 faTruck

frac34 faContao frac34 faMaxcdn H faTty

= faCreditCard k faMeanpath 5 faTumblr

gt faCrop faMedium 6 faTumblrSquare

ucirc faCrosshairs iquest faMedkit L faTwitch

faCss3 Agrave faMehO 7 faTwitter

faCube Aacute faMicrophone 8 faTwitterSquare

faCubes Acirc faMicrophoneSlash faUmbrella

faCutlery minus faMinus faUnderline

a faDashcube Auml faMinusCircle faUniversity

faDatabase Aring faMinusSquare b faUnlock

faDelicious faMinusSquareO c faUnlockAlt

B faDesktop AElig faMobile e faUpload

- faDeviantart Ccedil faMoney g faUser

u faDiamond x faMotorcycle h faUserMd

faDigg faMousePointer faUserPlus

I faDownload Eacute faMusic faUsers

J faDribbble N faNewspaperO w faUserSecret

K faDropbox faObjectGroup faUserTimes

faDrupal faObjectUngroup i faVideoCamera

N faEject e faOdnoklassniki Iacute faVimeo

O faEllipsisH micro faOdnoklassnikiSquare j faVimeoSquare

P faEllipsisV faOpencart 7 faVine

faEmpire faOpenid k faVk

R faEnvelope raquo faOpera l faVolumeDown

Q faEnvelopeO faOptinMonster m faVolumeOff

faEnvelopeSquare faOutdent n faVolumeUp


201


faEraser faPagelines p faWeibo

T faExchange ` faPaintBrush faWeixin

U faExclamation Iuml faPaperclip faWhatsapp

V faExclamationCircle gt faPaperPlane faWheelchair

o faExclamationTriangle faPaperPlaneO O faWifi

ntilde faExpand C faParagraph middot faWikipediaW

faExpeditedssl Ntilde faPause q faWindows

W faExternalLink faPaw faWordpress

faExternalLinkSquare Q faPaypal r faWrench

Y faEye Oacute faPhone s faXing

faEyedropper Ocirc faPhoneSquare t faXingSquare

X faEyeSlash Otilde faPictureO faYahoo

g faFacebook _ faPieChart faYCombinator

faFacebookOfficial faPiedPiper M faYelp

h faFacebookSquare faPiedPiperAlt u faYoutube

j faFastBackward Ouml faPinterest v faYoutubePlay

k faFastForward faPinterestP w faYoutubeSquare

faFax times faPinterestSquare

fontawesome defines synonyms for many of the preceding symbols

) faAutomobile 3 faFileZipO faRa

faBank faFlash iacute faReorder

yuml faBarChartO faGe uacute faSave

faBattery0 2 faGear gt faSend

faBattery1 3 faGears faSendO

faBattery2 faGittip G faSoccerBallO

faBattery3 faGroup faSortDown

faBattery4 faHotel faSortUp

faCab Otilde faImage faSupport

reg faChain faInstitution 4 faToggleDown

lt faCopy copy faLegal faToggleLeft

faCut faLifeBouy faToggleRight

A faDashboard faLifeSaver 5 faToggleUp

faDedent thorn faMailForward frac12 faTv

L faEdit iuml faMailReply a faUnlink

g faFacebookF eth faMailReplyAll faUnsorted

oslash faFeed AElig faMobilePhone o faWarning

5 faFileMovieO faMortarBoard faWechat

2 faFilePhotoO iacute faNavicon faYc

2 faFilePictureO ETH faPaste = faYCombinatorSquare

4 faFileSoundO Otilde faPhoto = faYcSquare

202

Table 505 rubikcube Rubikrsquos Cube Rotations

rrhD rrhF rrhLw rrhRw rrhU

rrhDa rrhFp rrhLwp rrhRwp rrhUa

rrhDap rrhFw rrhM rrhSd rrhUap

rrhDp rrhFwp rrhMp rrhSdp rrhUp

rrhDs rrhL rrhR rrhSl rrhUs

rrhDsp rrhLa rrhRa rrhSlp rrhUsp

rrhDw rrhLap rrhRap rrhSr rrhUw

rrhDwp rrhLp rrhRp rrhSrp rrhUwp

rrhE rrhLs rrhRs rrhSu

rrhEp rrhLsp rrhRsp rrhSup

All rubikcube symbols are implemented with TikZ graphics not with a fontIn addition to the symbols shown above the rubikcube package defines com-mands for combinations of textual and graphical representations of rotations(eg textRubikUa produces ldquoUa rdquo) as well as commands that produce col-ored illustrations of Rubikrsquos Cube configurations and rotations See the rubikcubedocumentation for more information

203

9 Fonts with minimal LATEX support

The symbol fonts shown in this section are provided without a corresponding LATEX 2120576 style file that assignsa convenient name to each glyph Consequently each glyph must be accessed by number To help withthis the pifont package defines a Pisymbol command that typesets a specified character by number froma specified LATEX font family Alas most of the fonts in this section do not even define a LATEX font familyHence except where otherwise specified a document will need to include code like the following in itspreamble

usepackagepifont

DeclareFontFamilyU⟨name⟩DeclareFontShapeU⟨name⟩mnlt-gt ⟨font⟩

where ⟨font⟩ is the name of the tfm font file (or mf font file from which a tfm font file can be generatedautomatically) and ⟨name⟩ is a name to use to refer to that font Itrsquos generally good practice to use thename of the font file for ⟨name⟩ as in the following

usepackagepifont

DeclareFontFamilyUhands

DeclareFontShapeUhandsmnlt-gt hands

Table 506 hands Fists

A Pisymbolhands65 C Pisymbolhands67

B Pisymbolhands66 D Pisymbolhands68

Table 507 greenpoint Recycling Symbols

G Pisymbolgreenpoint71

Table 508 nkarta Map Symbols

Pisymbolnkarta33 ` Pisymbolnkarta96 Aacute Pisymbolnkarta193

Pisymbolnkarta34 a Pisymbolnkarta97 Acirc Pisymbolnkarta194

Pisymbolnkarta35 b Pisymbolnkarta98 Atilde Pisymbolnkarta195

$ Pisymbolnkarta36 c Pisymbolnkarta99 Auml Pisymbolnkarta196

Pisymbolnkarta37 d Pisymbolnkarta100 Aring Pisymbolnkarta197

amp Pisymbolnkarta38 e Pisymbolnkarta101 AElig Pisymbolnkarta198

Pisymbolnkarta39 f Pisymbolnkarta102 Ccedil Pisymbolnkarta199

( Pisymbolnkarta40 g Pisymbolnkarta103 Egrave Pisymbolnkarta200

) Pisymbolnkarta41 h Pisymbolnkarta104 Eacute Pisymbolnkarta201

Pisymbolnkarta42 i Pisymbolnkarta105 Ecirc Pisymbolnkarta202

+ Pisymbolnkarta43 j Pisymbolnkarta106 Euml Pisymbolnkarta203

Pisymbolnkarta44 k Pisymbolnkarta107 Igrave Pisymbolnkarta204


204


- Pisymbolnkarta45 l Pisymbolnkarta108 Iacute Pisymbolnkarta205

Pisymbolnkarta46 m Pisymbolnkarta109 Icirc Pisymbolnkarta206

Pisymbolnkarta47 n Pisymbolnkarta110 Iuml Pisymbolnkarta207

0 Pisymbolnkarta48 o Pisymbolnkarta111 ETH Pisymbolnkarta208

1 Pisymbolnkarta49 p Pisymbolnkarta112 Ntilde Pisymbolnkarta209

2 Pisymbolnkarta50 q Pisymbolnkarta113 Ograve Pisymbolnkarta210

3 Pisymbolnkarta51 r Pisymbolnkarta114 Oacute Pisymbolnkarta211

4 Pisymbolnkarta52 s Pisymbolnkarta115 Ocirc Pisymbolnkarta212

5 Pisymbolnkarta53 t Pisymbolnkarta116 Otilde Pisymbolnkarta213

6 Pisymbolnkarta54 u Pisymbolnkarta117 Ouml Pisymbolnkarta214

7 Pisymbolnkarta55 v Pisymbolnkarta118 times Pisymbolnkarta215

8 Pisymbolnkarta56 w Pisymbolnkarta119 Oslash Pisymbolnkarta216

9 Pisymbolnkarta57 x Pisymbolnkarta120 Ugrave Pisymbolnkarta217

Pisymbolnkarta58 y Pisymbolnkarta121 Uacute Pisymbolnkarta218

Pisymbolnkarta59 z Pisymbolnkarta122 Ucirc Pisymbolnkarta219

lt Pisymbolnkarta60 Pisymbolnkarta123 Uuml Pisymbolnkarta220

= Pisymbolnkarta61 | Pisymbolnkarta124 Yacute Pisymbolnkarta221

gt Pisymbolnkarta62 Pisymbolnkarta125 THORN Pisymbolnkarta222

Pisymbolnkarta63 ~ Pisymbolnkarta126 szlig Pisymbolnkarta223

Pisymbolnkarta64 iexcl Pisymbolnkarta161 agrave Pisymbolnkarta224

A Pisymbolnkarta65 cent Pisymbolnkarta162 aacute Pisymbolnkarta225

B Pisymbolnkarta66 pound Pisymbolnkarta163 acirc Pisymbolnkarta226

C Pisymbolnkarta67 curren Pisymbolnkarta164 atilde Pisymbolnkarta227

D Pisymbolnkarta68 yen Pisymbolnkarta165 auml Pisymbolnkarta228

E Pisymbolnkarta69 brvbar Pisymbolnkarta166 aring Pisymbolnkarta229

F Pisymbolnkarta70 sect Pisymbolnkarta167 aelig Pisymbolnkarta230

G Pisymbolnkarta71 uml Pisymbolnkarta168 ccedil Pisymbolnkarta231

H Pisymbolnkarta72 copy Pisymbolnkarta169 egrave Pisymbolnkarta232

I Pisymbolnkarta73 ordf Pisymbolnkarta170 eacute Pisymbolnkarta233

J Pisymbolnkarta74 laquo Pisymbolnkarta171 ecirc Pisymbolnkarta234

K Pisymbolnkarta75 not Pisymbolnkarta172 euml Pisymbolnkarta235

L Pisymbolnkarta76 shy Pisymbolnkarta173 igrave Pisymbolnkarta236

M Pisymbolnkarta77 reg Pisymbolnkarta174 iacute Pisymbolnkarta237

N Pisymbolnkarta78 macr Pisymbolnkarta175 icirc Pisymbolnkarta238

O Pisymbolnkarta79 deg Pisymbolnkarta176 iuml Pisymbolnkarta239

P Pisymbolnkarta80 plusmn Pisymbolnkarta177 eth Pisymbolnkarta240

Q Pisymbolnkarta81 sup2 Pisymbolnkarta178 ntilde Pisymbolnkarta241

R Pisymbolnkarta82 sup3 Pisymbolnkarta179 ograve Pisymbolnkarta242

S Pisymbolnkarta83 acute Pisymbolnkarta180 oacute Pisymbolnkarta243

T Pisymbolnkarta84 micro Pisymbolnkarta181 ocirc Pisymbolnkarta244

U Pisymbolnkarta85 para Pisymbolnkarta182 otilde Pisymbolnkarta245

V Pisymbolnkarta86 middot Pisymbolnkarta183 ouml Pisymbolnkarta246

W Pisymbolnkarta87 cedil Pisymbolnkarta184 divide Pisymbolnkarta247

X Pisymbolnkarta88 sup1 Pisymbolnkarta185 oslash Pisymbolnkarta248

Y Pisymbolnkarta89 ordm Pisymbolnkarta186 ugrave Pisymbolnkarta249

Z Pisymbolnkarta90 raquo Pisymbolnkarta187 uacute Pisymbolnkarta250

[ Pisymbolnkarta91 frac14 Pisymbolnkarta188 ucirc Pisymbolnkarta251


205


Pisymbolnkarta92 frac12 Pisymbolnkarta189 uuml Pisymbolnkarta252

] Pisymbolnkarta93 frac34 Pisymbolnkarta190 yacute Pisymbolnkarta253

^ Pisymbolnkarta94 iquest Pisymbolnkarta191 thorn Pisymbolnkarta254

_ Pisymbolnkarta95 Agrave Pisymbolnkarta192

Table 509 moonphase Astronomical Symbols

Pisymbolmoonphase0 Pisymbolmoonphase2


Table 510 astrosym Astronomical Symbols

Pisymbolastrosym0 Pisymbolastrosym132













13 Pisymbolastrosym13 Pisymbolastrosym145








206











Pisymbolastrosym29 iexcl Pisymbolastrosym161

Pisymbolastrosym30 cent Pisymbolastrosym162

Pisymbolastrosym31 pound Pisymbolastrosym163

Pisymbolastrosym32 curren Pisymbolastrosym164

Pisymbolastrosym33 yen Pisymbolastrosym165

Pisymbolastrosym34 brvbar Pisymbolastrosym166

Pisymbolastrosym35 sect Pisymbolastrosym167

$ Pisymbolastrosym36 uml Pisymbolastrosym168

Pisymbolastrosym37 copy Pisymbolastrosym169

amp Pisymbolastrosym38 sup2 Pisymbolastrosym178

Pisymbolastrosym39 sup3 Pisymbolastrosym179

( Pisymbolastrosym40 acute Pisymbolastrosym180

) Pisymbolastrosym41 micro Pisymbolastrosym181

Pisymbolastrosym42 para Pisymbolastrosym182

+ Pisymbolastrosym43 middot Pisymbolastrosym183

Pisymbolastrosym44 cedil Pisymbolastrosym184

- Pisymbolastrosym45 sup1 Pisymbolastrosym185

Pisymbolastrosym46 ordm Pisymbolastrosym186

Pisymbolastrosym47 raquo Pisymbolastrosym187

0 Pisymbolastrosym48 frac14 Pisymbolastrosym188



3 Pisymbolastrosym51 iquest Pisymbolastrosym191

4 Pisymbolastrosym52 Egrave Pisymbolastrosym200

5 Pisymbolastrosym53 Eacute Pisymbolastrosym201

6 Pisymbolastrosym54 Ecirc Pisymbolastrosym202

7 Pisymbolastrosym55 Euml Pisymbolastrosym203

8 Pisymbolastrosym56 Igrave Pisymbolastrosym204


207


9 Pisymbolastrosym57 Iacute Pisymbolastrosym205

Pisymbolastrosym58 Icirc Pisymbolastrosym206

Pisymbolastrosym59 Iuml Pisymbolastrosym207

lt Pisymbolastrosym60 ETH Pisymbolastrosym208

= Pisymbolastrosym61 Ntilde Pisymbolastrosym209

gt Pisymbolastrosym62 Ograve Pisymbolastrosym210

Pisymbolastrosym63 Oacute Pisymbolastrosym211

Pisymbolastrosym64 Ocirc Pisymbolastrosym212

A Pisymbolastrosym65 Otilde Pisymbolastrosym213

B Pisymbolastrosym66 Ouml Pisymbolastrosym214

C Pisymbolastrosym67 times Pisymbolastrosym215

D Pisymbolastrosym68 Oslash Pisymbolastrosym216

E Pisymbolastrosym69 Ugrave Pisymbolastrosym217

Z Pisymbolastrosym90 Uacute Pisymbolastrosym218

[ Pisymbolastrosym91 Ucirc Pisymbolastrosym219

Pisymbolastrosym92 Uuml Pisymbolastrosym220

] Pisymbolastrosym93 Yacute Pisymbolastrosym221

^ Pisymbolastrosym94 THORN Pisymbolastrosym222

_ Pisymbolastrosym95 szlig Pisymbolastrosym223

d Pisymbolastrosym100 agrave Pisymbolastrosym224

e Pisymbolastrosym101 aacute Pisymbolastrosym225

f Pisymbolastrosym102 acirc Pisymbolastrosym226

g Pisymbolastrosym103 atilde Pisymbolastrosym227

h Pisymbolastrosym104 auml Pisymbolastrosym228

i Pisymbolastrosym105 aring Pisymbolastrosym229

j Pisymbolastrosym106 aelig Pisymbolastrosym230

k Pisymbolastrosym107 ccedil Pisymbolastrosym231

l Pisymbolastrosym108 egrave Pisymbolastrosym232

m Pisymbolastrosym109 eacute Pisymbolastrosym233

n Pisymbolastrosym110 ecirc Pisymbolastrosym234

o Pisymbolastrosym111 euml Pisymbolastrosym235

p Pisymbolastrosym112 igrave Pisymbolastrosym236

q Pisymbolastrosym113 iacute Pisymbolastrosym237

r Pisymbolastrosym114 icirc Pisymbolastrosym238

s Pisymbolastrosym115 iuml Pisymbolastrosym239

t Pisymbolastrosym116 eth Pisymbolastrosym240

u Pisymbolastrosym117 ntilde Pisymbolastrosym241

v Pisymbolastrosym118 ograve Pisymbolastrosym242


208


w Pisymbolastrosym119 oacute Pisymbolastrosym243

x Pisymbolastrosym120 ocirc Pisymbolastrosym244

y Pisymbolastrosym121 otilde Pisymbolastrosym245

z Pisymbolastrosym122 ouml Pisymbolastrosym246

Pisymbolastrosym123 divide Pisymbolastrosym247

| Pisymbolastrosym124 oslash Pisymbolastrosym248

Pisymbolastrosym125 ugrave Pisymbolastrosym249

~ Pisymbolastrosym126 uacute Pisymbolastrosym250

Pisymbolastrosym127 ucirc Pisymbolastrosym251

Pisymbolastrosym128 uuml Pisymbolastrosym252

Pisymbolastrosym129 yacute Pisymbolastrosym253

Pisymbolastrosym130 thorn Pisymbolastrosym254

Pisymbolastrosym131 yuml Pisymbolastrosym255

Table 511 webomints Decorative Borders

PisymbolWebOMintsGD47 W PisymbolWebOMintsGD87

0 PisymbolWebOMintsGD48 X PisymbolWebOMintsGD88

1 PisymbolWebOMintsGD49 Y PisymbolWebOMintsGD89

2 PisymbolWebOMintsGD50 Z PisymbolWebOMintsGD90

3 PisymbolWebOMintsGD51 [ PisymbolWebOMintsGD91

4 PisymbolWebOMintsGD52 ] PisymbolWebOMintsGD93

5 PisymbolWebOMintsGD53 a PisymbolWebOMintsGD97

6 PisymbolWebOMintsGD54 b PisymbolWebOMintsGD98

7 PisymbolWebOMintsGD55 c PisymbolWebOMintsGD99

8 PisymbolWebOMintsGD56 d PisymbolWebOMintsGD100

9 PisymbolWebOMintsGD57 e PisymbolWebOMintsGD101

A PisymbolWebOMintsGD65 f PisymbolWebOMintsGD102

B PisymbolWebOMintsGD66 g PisymbolWebOMintsGD103

C PisymbolWebOMintsGD67 h PisymbolWebOMintsGD104

D PisymbolWebOMintsGD68 i PisymbolWebOMintsGD105

E PisymbolWebOMintsGD69 j PisymbolWebOMintsGD106

F PisymbolWebOMintsGD70 k PisymbolWebOMintsGD107

G PisymbolWebOMintsGD71 l PisymbolWebOMintsGD108

H PisymbolWebOMintsGD72 m PisymbolWebOMintsGD109

I PisymbolWebOMintsGD73 n PisymbolWebOMintsGD110

J PisymbolWebOMintsGD74 o PisymbolWebOMintsGD111

K PisymbolWebOMintsGD75 p PisymbolWebOMintsGD112


209


L PisymbolWebOMintsGD76 q PisymbolWebOMintsGD113

M PisymbolWebOMintsGD77 r PisymbolWebOMintsGD114

N PisymbolWebOMintsGD78 s PisymbolWebOMintsGD115

O PisymbolWebOMintsGD79 t PisymbolWebOMintsGD116

P PisymbolWebOMintsGD80 u PisymbolWebOMintsGD117

Q PisymbolWebOMintsGD81 v PisymbolWebOMintsGD118

R PisymbolWebOMintsGD82 w PisymbolWebOMintsGD119

S PisymbolWebOMintsGD83 x PisymbolWebOMintsGD120

T PisymbolWebOMintsGD84 y PisymbolWebOMintsGD121

U PisymbolWebOMintsGD85 z PisymbolWebOMintsGD122

V PisymbolWebOMintsGD86

webomints provides a uwebofd font-definition file Instead of using pifontand Pisymbol to typeset a glyph a document can select the webomintsfont directly For example usefontUweboxlnchar73char74mdashalternatively usefontUweboxlnIJmdashwill typeset ldquoIJrdquo Thiscan be useful for typesetting a number of webomints glyphs in a row

The niceframe package can be used to typeset decorative frames using fonts suchas webomints

Table 512 umranda Decorative Borders

Pisymbolumranda0 Pisymbolumranda34 D Pisymbolumranda68

Pisymbolumranda1 Pisymbolumranda35 E Pisymbolumranda69

Pisymbolumranda2 $ Pisymbolumranda36 F Pisymbolumranda70

Pisymbolumranda3 Pisymbolumranda37 G Pisymbolumranda71

Pisymbolumranda4 amp Pisymbolumranda38 H Pisymbolumranda72

Pisymbolumranda5 Pisymbolumranda39 I Pisymbolumranda73

Pisymbolumranda6 ( Pisymbolumranda40 J Pisymbolumranda74

Pisymbolumranda7 ) Pisymbolumranda41 K Pisymbolumranda75

Pisymbolumranda8 Pisymbolumranda42 L Pisymbolumranda76

Pisymbolumranda9 + Pisymbolumranda43 M Pisymbolumranda77

Pisymbolumranda10 Pisymbolumranda44 N Pisymbolumranda78

Pisymbolumranda11 - Pisymbolumranda45 O Pisymbolumranda79

Pisymbolumranda12 Pisymbolumranda46 P Pisymbolumranda80

13 Pisymbolumranda13 Pisymbolumranda47 Q Pisymbolumranda81

Pisymbolumranda14 0 Pisymbolumranda48 R Pisymbolumranda82


210


Pisymbolumranda15 1 Pisymbolumranda49 S Pisymbolumranda83

Pisymbolumranda16 2 Pisymbolumranda50 T Pisymbolumranda84

Pisymbolumranda17 3 Pisymbolumranda51 U Pisymbolumranda85

Pisymbolumranda18 4 Pisymbolumranda52 V Pisymbolumranda86

Pisymbolumranda19 5 Pisymbolumranda53 W Pisymbolumranda87

Pisymbolumranda20 6 Pisymbolumranda54 X Pisymbolumranda88

Pisymbolumranda21 7 Pisymbolumranda55 Y Pisymbolumranda89

Pisymbolumranda22 8 Pisymbolumranda56 Z Pisymbolumranda90

Pisymbolumranda23 9 Pisymbolumranda57 [ Pisymbolumranda91

Pisymbolumranda24 Pisymbolumranda58 Pisymbolumranda92

Pisymbolumranda25 Pisymbolumranda59 ] Pisymbolumranda93

Pisymbolumranda26 lt Pisymbolumranda60 ^ Pisymbolumranda94

Pisymbolumranda27 = Pisymbolumranda61 _ Pisymbolumranda95

Pisymbolumranda28 gt Pisymbolumranda62 ` Pisymbolumranda96

Pisymbolumranda29 Pisymbolumranda63 a Pisymbolumranda97

Pisymbolumranda30 Pisymbolumranda64 b Pisymbolumranda98

Pisymbolumranda31 A Pisymbolumranda65 c Pisymbolumranda99

Pisymbolumranda32 B Pisymbolumranda66 d Pisymbolumranda100

Pisymbolumranda33 C Pisymbolumranda67 e Pisymbolumranda101

The niceframe package can be used to typeset decorative frames using fonts suchas umranda

Table 513 umrandb Decorative Borders

Pisymbolumrandb0 Pisymbolumrandb42 T Pisymbolumrandb84

Pisymbolumrandb1 + Pisymbolumrandb43 U Pisymbolumrandb85

Pisymbolumrandb2 Pisymbolumrandb44 V Pisymbolumrandb86

Pisymbolumrandb3 - Pisymbolumrandb45 W Pisymbolumrandb87

Pisymbolumrandb4 Pisymbolumrandb46 X Pisymbolumrandb88

Pisymbolumrandb5 Pisymbolumrandb47 Y Pisymbolumrandb89

Pisymbolumrandb6 0 Pisymbolumrandb48 Z Pisymbolumrandb90

Pisymbolumrandb7 1 Pisymbolumrandb49 [ Pisymbolumrandb91

Pisymbolumrandb8 2 Pisymbolumrandb50 Pisymbolumrandb92

Pisymbolumrandb9 3 Pisymbolumrandb51 ] Pisymbolumrandb93


211


Pisymbolumrandb10 4 Pisymbolumrandb52 ^ Pisymbolumrandb94

Pisymbolumrandb11 5 Pisymbolumrandb53 _ Pisymbolumrandb95

Pisymbolumrandb12 6 Pisymbolumrandb54 ` Pisymbolumrandb96

13 Pisymbolumrandb13 7 Pisymbolumrandb55 a Pisymbolumrandb97

Pisymbolumrandb14 8 Pisymbolumrandb56 b Pisymbolumrandb98

Pisymbolumrandb15 9 Pisymbolumrandb57 c Pisymbolumrandb99

Pisymbolumrandb16 Pisymbolumrandb58 d Pisymbolumrandb100

Pisymbolumrandb17 Pisymbolumrandb59 e Pisymbolumrandb101

Pisymbolumrandb18 lt Pisymbolumrandb60 f Pisymbolumrandb102

Pisymbolumrandb19 = Pisymbolumrandb61 g Pisymbolumrandb103

Pisymbolumrandb20 gt Pisymbolumrandb62 h Pisymbolumrandb104

Pisymbolumrandb21 Pisymbolumrandb63 i Pisymbolumrandb105

Pisymbolumrandb22 Pisymbolumrandb64 j Pisymbolumrandb106

Pisymbolumrandb23 A Pisymbolumrandb65 k Pisymbolumrandb107

Pisymbolumrandb24 B Pisymbolumrandb66 l Pisymbolumrandb108

Pisymbolumrandb25 C Pisymbolumrandb67 m Pisymbolumrandb109

Pisymbolumrandb26 D Pisymbolumrandb68 n Pisymbolumrandb110

Pisymbolumrandb27 E Pisymbolumrandb69 o Pisymbolumrandb111

Pisymbolumrandb28 F Pisymbolumrandb70 p Pisymbolumrandb112

Pisymbolumrandb29 G Pisymbolumrandb71 q Pisymbolumrandb113

Pisymbolumrandb30 H Pisymbolumrandb72 r Pisymbolumrandb114

Pisymbolumrandb31 I Pisymbolumrandb73 s Pisymbolumrandb115

Pisymbolumrandb32 J Pisymbolumrandb74 t Pisymbolumrandb116

Pisymbolumrandb33 K Pisymbolumrandb75 u Pisymbolumrandb117

Pisymbolumrandb34 L Pisymbolumrandb76 v Pisymbolumrandb118

Pisymbolumrandb35 M Pisymbolumrandb77 w Pisymbolumrandb119

$ Pisymbolumrandb36 N Pisymbolumrandb78 x Pisymbolumrandb120

Pisymbolumrandb37 O Pisymbolumrandb79 y Pisymbolumrandb121

amp Pisymbolumrandb38 P Pisymbolumrandb80 z Pisymbolumrandb122

Pisymbolumrandb39 Q Pisymbolumrandb81 Pisymbolumrandb123

( Pisymbolumrandb40 R Pisymbolumrandb82

) Pisymbolumrandb41 S Pisymbolumrandb83

The niceframe package can be used to typeset decorative frames using fonts suchas umrandb

212

Table 514 dingbat Decorative Borders

E Pisymboldingbat69 a Pisymboldingbat97

F Pisymboldingbat70 b Pisymboldingbat98

G Pisymboldingbat71 c Pisymboldingbat99

H Pisymboldingbat72 d Pisymboldingbat100

J Pisymboldingbat74 e Pisymboldingbat101

K Pisymboldingbat75 f Pisymboldingbat102

L Pisymboldingbat76 g Pisymboldingbat103

M Pisymboldingbat77 h Pisymboldingbat104

The preceding table is incomplete in that it includes only unnamed dingbat sym-bols Named symbols are included in Table 352 and Table 396 (both intermixedwith symbols from the ark10 font)

The dingbat package includes a udingbatfd file so a document does not need tospecify the DeclareFontFamily and DeclareFontShape commands list at thebeginning of Section 9

The niceframe package can be used to typeset decorative frames using fonts suchas dingbat

Table 515 knot Celtic Knots

0 Pisymbolknot148 D Pisymbolknot168 T Pisymbolknot184

1 Pisymbolknot149 E Pisymbolknot169 U Pisymbolknot185

2 Pisymbolknot150 F Pisymbolknot170 V Pisymbolknot186

3 Pisymbolknot151 G Pisymbolknot171 W Pisymbolknot187

4 Pisymbolknot152 H Pisymbolknot172 X Pisymbolknot188

5 Pisymbolknot153 I Pisymbolknot173 ` Pisymbolknot196

Pisymbolknot158 J Pisymbolknot174 a Pisymbolknot197


213


Pisymbolknot159 K Pisymbolknot175 b Pisymbolknot198

lt Pisymbolknot160 L Pisymbolknot176 c Pisymbolknot199

= Pisymbolknot161 M Pisymbolknot177 d Pisymbolknot1100

gt Pisymbolknot162 N Pisymbolknot178 e Pisymbolknot1101

Pisymbolknot163 O Pisymbolknot179 f Pisymbolknot1102

Pisymbolknot164 P Pisymbolknot180 g Pisymbolknot1103

A Pisymbolknot165 Q Pisymbolknot181 h Pisymbolknot1104

B Pisymbolknot166 R Pisymbolknot182 i Pisymbolknot1105

C Pisymbolknot167 S Pisymbolknot183




























214






































215





































216



The following is an example of a basic knot usingusefontUknot⟨number⟩mn to change fonts for multiple charac-ters instead of Pisymbol to typeset one character at a time Note that all ofthe characters in the knot fonts lie conveniently within the range of printableASCII characters

Input knot1 knot2 knot3 knot4 knot5 knot6 knot7

CDB CDB CDB CDB CDB CDB CDB CDBFHG FHG FHG FHG FHG FHG FHG FHGEA EA EA EA EA EA EA EA

The niceframe package can be used to typeset decorative frames using fonts suchas knot especially using characters 48ndash63 of each font variant

Table 516 dancers Dancing Men

Pisymboldancers0 V Pisymboldancers86 not Pisymboldancers172

Pisymboldancers1 W Pisymboldancers87 shy Pisymboldancers173

Pisymboldancers2 X Pisymboldancers88 reg Pisymboldancers174

Pisymboldancers3 Y Pisymboldancers89 macr Pisymboldancers175

Pisymboldancers4 Z Pisymboldancers90 deg Pisymboldancers176

Pisymboldancers5 [ Pisymboldancers91 plusmn Pisymboldancers177

Pisymboldancers6 Pisymboldancers92 sup2 Pisymboldancers178

Pisymboldancers7 ] Pisymboldancers93 sup3 Pisymboldancers179

Pisymboldancers8 ^ Pisymboldancers94 acute Pisymboldancers180

Pisymboldancers9 _ Pisymboldancers95 micro Pisymboldancers181

Pisymboldancers10 ` Pisymboldancers96 para Pisymboldancers182

Pisymboldancers11 a Pisymboldancers97 middot Pisymboldancers183

Pisymboldancers12 b Pisymboldancers98 cedil Pisymboldancers184

13 Pisymboldancers13 c Pisymboldancers99 sup1 Pisymboldancers185

Pisymboldancers14 d Pisymboldancers100 ordm Pisymboldancers186

Pisymboldancers15 e Pisymboldancers101 raquo Pisymboldancers187

Pisymboldancers16 f Pisymboldancers102 frac14 Pisymboldancers188


217


Pisymboldancers17 g Pisymboldancers103 frac12 Pisymboldancers189

Pisymboldancers18 h Pisymboldancers104 frac34 Pisymboldancers190

Pisymboldancers19 i Pisymboldancers105 iquest Pisymboldancers191

Pisymboldancers20 j Pisymboldancers106 Agrave Pisymboldancers192

Pisymboldancers21 k Pisymboldancers107 Aacute Pisymboldancers193

Pisymboldancers22 l Pisymboldancers108 Acirc Pisymboldancers194

Pisymboldancers23 m Pisymboldancers109 Atilde Pisymboldancers195

Pisymboldancers24 n Pisymboldancers110 Auml Pisymboldancers196

Pisymboldancers25 o Pisymboldancers111 Aring Pisymboldancers197

Pisymboldancers26 p Pisymboldancers112 AElig Pisymboldancers198

Pisymboldancers27 q Pisymboldancers113 Ccedil Pisymboldancers199

Pisymboldancers28 r Pisymboldancers114 Egrave Pisymboldancers200

Pisymboldancers29 s Pisymboldancers115 Eacute Pisymboldancers201

Pisymboldancers30 t Pisymboldancers116 Ecirc Pisymboldancers202

Pisymboldancers31 u Pisymboldancers117 Euml Pisymboldancers203

Pisymboldancers32 v Pisymboldancers118 Igrave Pisymboldancers204

Pisymboldancers33 w Pisymboldancers119 Iacute Pisymboldancers205

Pisymboldancers34 x Pisymboldancers120 Icirc Pisymboldancers206

Pisymboldancers35 y Pisymboldancers121 Iuml Pisymboldancers207

$ Pisymboldancers36 z Pisymboldancers122 ETH Pisymboldancers208

Pisymboldancers37 Pisymboldancers123 Ntilde Pisymboldancers209

amp Pisymboldancers38 | Pisymboldancers124 Ograve Pisymboldancers210

Pisymboldancers39 Pisymboldancers125 Oacute Pisymboldancers211

( Pisymboldancers40 ~ Pisymboldancers126 Ocirc Pisymboldancers212

) Pisymboldancers41 Pisymboldancers127 Otilde Pisymboldancers213

Pisymboldancers42 Pisymboldancers128 Ouml Pisymboldancers214

+ Pisymboldancers43 Pisymboldancers129 times Pisymboldancers215

Pisymboldancers44 Pisymboldancers130 Oslash Pisymboldancers216

- Pisymboldancers45 Pisymboldancers131 Ugrave Pisymboldancers217

Pisymboldancers46 Pisymboldancers132 Uacute Pisymboldancers218

Pisymboldancers47 Pisymboldancers133 Ucirc Pisymboldancers219

0 Pisymboldancers48 Pisymboldancers134 Uuml Pisymboldancers220


218


1 Pisymboldancers49 Pisymboldancers135 Yacute Pisymboldancers221

2 Pisymboldancers50 Pisymboldancers136 THORN Pisymboldancers222

3 Pisymboldancers51 Pisymboldancers137 szlig Pisymboldancers223

4 Pisymboldancers52 Pisymboldancers138 agrave Pisymboldancers224

5 Pisymboldancers53 Pisymboldancers139 aacute Pisymboldancers225

6 Pisymboldancers54 Pisymboldancers140 acirc Pisymboldancers226

7 Pisymboldancers55 Pisymboldancers141 atilde Pisymboldancers227

8 Pisymboldancers56 Pisymboldancers142 auml Pisymboldancers228

9 Pisymboldancers57 Pisymboldancers143 aring Pisymboldancers229

Pisymboldancers58 Pisymboldancers144 aelig Pisymboldancers230

Pisymboldancers59 Pisymboldancers145 ccedil Pisymboldancers231

lt Pisymboldancers60 Pisymboldancers146 egrave Pisymboldancers232

= Pisymboldancers61 Pisymboldancers147 eacute Pisymboldancers233

gt Pisymboldancers62 Pisymboldancers148 ecirc Pisymboldancers234

Pisymboldancers63 Pisymboldancers149 euml Pisymboldancers235

Pisymboldancers64 Pisymboldancers150 igrave Pisymboldancers236

A Pisymboldancers65 Pisymboldancers151 iacute Pisymboldancers237

B Pisymboldancers66 Pisymboldancers152 icirc Pisymboldancers238

C Pisymboldancers67 Pisymboldancers153 iuml Pisymboldancers239

D Pisymboldancers68 Pisymboldancers154 eth Pisymboldancers240

E Pisymboldancers69 Pisymboldancers155 ntilde Pisymboldancers241

F Pisymboldancers70 Pisymboldancers156 ograve Pisymboldancers242

G Pisymboldancers71 Pisymboldancers157 oacute Pisymboldancers243

H Pisymboldancers72 Pisymboldancers158 ocirc Pisymboldancers244

I Pisymboldancers73 Pisymboldancers159 otilde Pisymboldancers245

J Pisymboldancers74 Pisymboldancers160 ouml Pisymboldancers246

K Pisymboldancers75 iexcl Pisymboldancers161 divide Pisymboldancers247

L Pisymboldancers76 cent Pisymboldancers162 oslash Pisymboldancers248

M Pisymboldancers77 pound Pisymboldancers163 ugrave Pisymboldancers249

N Pisymboldancers78 curren Pisymboldancers164 uacute Pisymboldancers250

O Pisymboldancers79 yen Pisymboldancers165 ucirc Pisymboldancers251

P Pisymboldancers80 brvbar Pisymboldancers166 uuml Pisymboldancers252


219


Q Pisymboldancers81 sect Pisymboldancers167 yacute Pisymboldancers253

R Pisymboldancers82 uml Pisymboldancers168 thorn Pisymboldancers254

S Pisymboldancers83 copy Pisymboldancers169 yuml Pisymboldancers255

T Pisymboldancers84 ordf Pisymboldancers170

U Pisymboldancers85 laquo Pisymboldancers171

Fans of Sherlock Holmes mysteries will recognize these glyphs as forming thesubstitution cipher featured in Sir Arthur Conan Doylersquos The Adventure of theDancing Men (1903)

Table 517 semaphor Semaphore Alphabet

Pisymbolsmfpr1034 t Pisymbolsmfpr10116 yuml Pisymbolsmfpr10184

Pisymbolsmfpr1035 u Pisymbolsmfpr10117 ź Pisymbolsmfpr10185

$ Pisymbolsmfpr1036 v Pisymbolsmfpr10118 ž Pisymbolsmfpr10186

Pisymbolsmfpr1042 w Pisymbolsmfpr10119 ż Pisymbolsmfpr10187

Pisymbolsmfpr1046 x Pisymbolsmfpr10120 Agrave Pisymbolsmfpr10192

$0 Pisymbolsmfpr1048 y Pisymbolsmfpr10121 Aacute Pisymbolsmfpr10193

$1 Pisymbolsmfpr1049 z Pisymbolsmfpr10122 Acirc Pisymbolsmfpr10194

$2 Pisymbolsmfpr1050 ˜ Pisymbolsmfpr10126 Atilde Pisymbolsmfpr10195

$3 Pisymbolsmfpr1051 Ă Pisymbolsmfpr10128 Auml Pisymbolsmfpr10196

$4 Pisymbolsmfpr1052 Ą Pisymbolsmfpr10129 Aring Pisymbolsmfpr10197

$5 Pisymbolsmfpr1053 Ć Pisymbolsmfpr10130 Ccedil Pisymbolsmfpr10199

$6 Pisymbolsmfpr1054 Č Pisymbolsmfpr10131 Egrave Pisymbolsmfpr10200

$7 Pisymbolsmfpr1055 Ď Pisymbolsmfpr10132 Eacute Pisymbolsmfpr10201

$8 Pisymbolsmfpr1056 Ě Pisymbolsmfpr10133 Ecirc Pisymbolsmfpr10202

$9 Pisymbolsmfpr1057 Ę Pisymbolsmfpr10134 Euml Pisymbolsmfpr10203

A Pisymbolsmfpr1065 Ğ Pisymbolsmfpr10135 Igrave Pisymbolsmfpr10204

B Pisymbolsmfpr1066 Ĺ Pisymbolsmfpr10136 Iacute Pisymbolsmfpr10205

C Pisymbolsmfpr1067 Ľ Pisymbolsmfpr10137 Icirc Pisymbolsmfpr10206

D Pisymbolsmfpr1068 Ł Pisymbolsmfpr10138 Iuml Pisymbolsmfpr10207

E Pisymbolsmfpr1069 Ń Pisymbolsmfpr10139 Ntilde Pisymbolsmfpr10209

F Pisymbolsmfpr1070 Ň Pisymbolsmfpr10140 Ograve Pisymbolsmfpr10210

G Pisymbolsmfpr1071 Ő Pisymbolsmfpr10142 Oacute Pisymbolsmfpr10211

H Pisymbolsmfpr1072 Ŕ Pisymbolsmfpr10143 Ocirc Pisymbolsmfpr10212

I Pisymbolsmfpr1073 Ř Pisymbolsmfpr10144 Otilde Pisymbolsmfpr10213

J Pisymbolsmfpr1074 Ś Pisymbolsmfpr10145 Ouml Pisymbolsmfpr10214

K Pisymbolsmfpr1075 Š Pisymbolsmfpr10146 Oslash Pisymbolsmfpr10216

L Pisymbolsmfpr1076 Ş Pisymbolsmfpr10147 Ugrave Pisymbolsmfpr10217

M Pisymbolsmfpr1077 Ť Pisymbolsmfpr10148 Uacute Pisymbolsmfpr10218


220


N Pisymbolsmfpr1078 Ţ Pisymbolsmfpr10149 Ucirc Pisymbolsmfpr10219

O Pisymbolsmfpr1079 Ű Pisymbolsmfpr10150 Uuml Pisymbolsmfpr10220

P Pisymbolsmfpr1080 Ů Pisymbolsmfpr10151 Yacute Pisymbolsmfpr10221

Q Pisymbolsmfpr1081 Ÿ Pisymbolsmfpr10152 agrave Pisymbolsmfpr10224

R Pisymbolsmfpr1082 Ź Pisymbolsmfpr10153 aacute Pisymbolsmfpr10225

S Pisymbolsmfpr1083 Ž Pisymbolsmfpr10154 acirc Pisymbolsmfpr10226

T Pisymbolsmfpr1084 Ż Pisymbolsmfpr10155 atilde Pisymbolsmfpr10227

U Pisymbolsmfpr1085 İ Pisymbolsmfpr10157 auml Pisymbolsmfpr10228

V Pisymbolsmfpr1086 đ Pisymbolsmfpr10158 aring Pisymbolsmfpr10229

W Pisymbolsmfpr1087 ă Pisymbolsmfpr10160 ccedil Pisymbolsmfpr10231

X Pisymbolsmfpr1088 ą Pisymbolsmfpr10161 egrave Pisymbolsmfpr10232

Y Pisymbolsmfpr1089 ć Pisymbolsmfpr10162 eacute Pisymbolsmfpr10233

Z Pisymbolsmfpr1090 č Pisymbolsmfpr10163 ecirc Pisymbolsmfpr10234

a Pisymbolsmfpr1097 ď Pisymbolsmfpr10164 euml Pisymbolsmfpr10235

b Pisymbolsmfpr1098 ě Pisymbolsmfpr10165 igrave Pisymbolsmfpr10236

c Pisymbolsmfpr1099 ę Pisymbolsmfpr10166 iacute Pisymbolsmfpr10237

d Pisymbolsmfpr10100 ğ Pisymbolsmfpr10167 icirc Pisymbolsmfpr10238

e Pisymbolsmfpr10101 ĺ Pisymbolsmfpr10168 iuml Pisymbolsmfpr10239

f Pisymbolsmfpr10102 ľ Pisymbolsmfpr10169 ntilde Pisymbolsmfpr10241

g Pisymbolsmfpr10103 ł Pisymbolsmfpr10170 ograve Pisymbolsmfpr10242

h Pisymbolsmfpr10104 ń Pisymbolsmfpr10171 oacute Pisymbolsmfpr10243

i Pisymbolsmfpr10105 ň Pisymbolsmfpr10172 ocirc Pisymbolsmfpr10244

j Pisymbolsmfpr10106 ő Pisymbolsmfpr10174 otilde Pisymbolsmfpr10245

k Pisymbolsmfpr10107 ŕ Pisymbolsmfpr10175 ouml Pisymbolsmfpr10246

l Pisymbolsmfpr10108 ř Pisymbolsmfpr10176 oslash Pisymbolsmfpr10248

m Pisymbolsmfpr10109 ś Pisymbolsmfpr10177 ugrave Pisymbolsmfpr10249

n Pisymbolsmfpr10110 š Pisymbolsmfpr10178 uacute Pisymbolsmfpr10250

o Pisymbolsmfpr10111 ş Pisymbolsmfpr10179 ucirc Pisymbolsmfpr10251

p Pisymbolsmfpr10112 ť Pisymbolsmfpr10180 uuml Pisymbolsmfpr10252

q Pisymbolsmfpr10113 ţ Pisymbolsmfpr10181 yacute Pisymbolsmfpr10253

r Pisymbolsmfpr10114 ű Pisymbolsmfpr10182

s Pisymbolsmfpr10115 ů Pisymbolsmfpr10183

semaphor provides a semaffd font-definition file Instead of using pifont andPisymbol to typeset a glyph a document can select the semaphor fonts directlyalthough this does require putting inputsemaffd in the documentrsquos pream-ble For example usefontOT1smfpmnHello will typeset ldquoHellordquoThis can be useful for typesetting complete messages Roman bold monospaceslanted and bold+slanted styles are all supported

In addition semaphor provides three variations of each font a ldquopersonrdquo version(smfpr10) which is what is illustrated in the preceding table a ldquopillarrdquo version(smfr10) which shows the flags on a pillar rather than being held by a personand an ldquoemptyrdquo version (smfer10) which shows only the flags and no pillar orperson Contrast these variations of the letter ldquoHrdquo

H vs H vs H(person) (pillar) (empty)

221

Table 518 cryst Crystallography Symbols

Pisymbolcryst0 Pisymbolcryst63 Pisymbolcryst138


Pisymbolcryst3 A Pisymbolcryst65 Pisymbolcryst140

Pisymbolcryst4 B Pisymbolcryst66 Pisymbolcryst141

Pisymbolcryst5 K Pisymbolcryst75 Pisymbolcryst142

Pisymbolcryst6 M Pisymbolcryst77 Pisymbolcryst143

Pisymbolcryst7 N Pisymbolcryst78 Pisymbolcryst145

Pisymbolcryst8 O Pisymbolcryst79 Pisymbolcryst147

Pisymbolcryst9 P Pisymbolcryst80 Pisymbolcryst148

Pisymbolcryst10 Q Pisymbolcryst81 Pisymbolcryst149

Pisymbolcryst12 R Pisymbolcryst82 Pisymbolcryst155

Pisymbolcryst15 S Pisymbolcryst83 Pisymbolcryst157

Pisymbolcryst20 T Pisymbolcryst84 Pisymbolcryst158

Pisymbolcryst21 U Pisymbolcryst85 Pisymbolcryst159

Pisymbolcryst22 W Pisymbolcryst87 macr Pisymbolcryst175

Pisymbolcryst24 X Pisymbolcryst88 plusmn Pisymbolcryst177

Pisymbolcryst25 Y Pisymbolcryst89 sup2 Pisymbolcryst178

Pisymbolcryst27 _ Pisymbolcryst95 sup3 Pisymbolcryst179

Pisymbolcryst28 a Pisymbolcryst97 sup1 Pisymbolcryst185

Pisymbolcryst29 b Pisymbolcryst98 raquo Pisymbolcryst187

Pisymbolcryst30 c Pisymbolcryst99 frac14 Pisymbolcryst188

Pisymbolcryst31 f Pisymbolcryst102 frac12 Pisymbolcryst189

Pisymbolcryst32 g Pisymbolcryst103 Atilde Pisymbolcryst195

Pisymbolcryst35 h Pisymbolcryst104 Aring Pisymbolcryst197

$ Pisymbolcryst36 i Pisymbolcryst105 AElig Pisymbolcryst198

Pisymbolcryst37 k Pisymbolcryst107 Ccedil Pisymbolcryst199

amp Pisymbolcryst38 l Pisymbolcryst108 Ecirc Pisymbolcryst202

Pisymbolcryst39 m Pisymbolcryst109 Euml Pisymbolcryst203

( Pisymbolcryst40 p Pisymbolcryst112 Igrave Pisymbolcryst204

) Pisymbolcryst41 q Pisymbolcryst113 Ograve Pisymbolcryst210

Pisymbolcryst42 x Pisymbolcryst120 Ocirc Pisymbolcryst212

+ Pisymbolcryst43 y Pisymbolcryst121 Otilde Pisymbolcryst213

Pisymbolcryst44 Pisymbolcryst123 Uuml Pisymbolcryst220

- Pisymbolcryst45 | Pisymbolcryst124 Yacute Pisymbolcryst221

Pisymbolcryst47 Pisymbolcryst125 szlig Pisymbolcryst223

0 Pisymbolcryst48 Pisymbolcryst127 agrave Pisymbolcryst224

1 Pisymbolcryst49 Pisymbolcryst128 aelig Pisymbolcryst230

2 Pisymbolcryst50 Pisymbolcryst129 ccedil Pisymbolcryst231

7 Pisymbolcryst55 Pisymbolcryst130 egrave Pisymbolcryst232

9 Pisymbolcryst57 Pisymbolcryst131 eacute Pisymbolcryst233

Pisymbolcryst58 Pisymbolcryst132 igrave Pisymbolcryst236

Pisymbolcryst59 Pisymbolcryst133 eth Pisymbolcryst240

lt Pisymbolcryst60 Pisymbolcryst135 ntilde Pisymbolcryst241

= Pisymbolcryst61 Pisymbolcryst136 ograve Pisymbolcryst242

gt Pisymbolcryst62 Pisymbolcryst137 oacute Pisymbolcryst243

222

Table 519 dice Dice

1 Pisymboldice3d49 e Pisymboldice3d101 o Pisymboldice3d111

2 Pisymboldice3d50 f Pisymboldice3d102 p Pisymboldice3d112

3 Pisymboldice3d51 g Pisymboldice3d103 q Pisymboldice3d113

4 Pisymboldice3d52 h Pisymboldice3d104 r Pisymboldice3d114

5 Pisymboldice3d53 i Pisymboldice3d105 s Pisymboldice3d115

6 Pisymboldice3d54 j Pisymboldice3d106 t Pisymboldice3d116

a Pisymboldice3d97 k Pisymboldice3d107 u Pisymboldice3d117

b Pisymboldice3d98 l Pisymboldice3d108 v Pisymboldice3d118

c Pisymboldice3d99 m Pisymboldice3d109 w Pisymboldice3d119

d Pisymboldice3d100 n Pisymboldice3d110 x Pisymboldice3d120

dice defines its symbols at a very small design size The glyphs shown above werescaled up by a factor of four using DeclareFontShapeUdice3dmnlt-gt

s[4] dice3d

An alternative to using Pisymbol to select a die rotation is to rely onsome cleverness in the kerning tables provided by the dice font The indi-vidual digits ldquo1rdquo through ldquo6rdquo each produce the corresponding (2D) die faceusefontUdice3dmn2 2 1 produces ldquo2 2 1rdquo for example Whenfollowed by a letter ldquoardquo through ldquodrdquo those pairs are kerned to produce a 3Ddie rotation with the digit specifying by the top face and the letter specifyingone of the four possible front faces sorted by increasing value For example

usefontUdice3dmn2a 2b 1d produces ldquoefdrdquo

223

Table 520 magic Trading Card Symbols

0 Pisymbolmagic48 6 Pisymbolmagic54 R Pisymbolmagic82

1 Pisymbolmagic49 7 Pisymbolmagic55 T Pisymbolmagic84

2 Pisymbolmagic50 8 Pisymbolmagic56 U Pisymbolmagic85

3 Pisymbolmagic51 9 Pisymbolmagic57 W Pisymbolmagic87

4 Pisymbolmagic52 B Pisymbolmagic66 X Pisymbolmagic88

5 Pisymbolmagic53 G Pisymbolmagic71 Z Pisymbolmagic90

The preceding symbols resemble those from Wizards of the Coastrsquos Magic TheGathering trading-card game An alternative to entering symbols numericallyusing Pisymbol is to switch to the magic font with usefontUmagicmn

and employ the following mnemonic characters

0ndash9 0ndash9 Circled numerals 0ndash9

B B Black magic symbol

G G Green magic symbol

R R Red magic symbol

T T Tap symbol (tilted ldquoTrdquo in a circle)

U U Blue magic symbol

W W White magic symbol

X X Circled ldquoXrdquo (for mana cost eg Fireball)

Z Z Circled ldquo10rdquo (for mana cost eg Aladdinrsquos Lamp)

Table 521 bartel-chess-fonts Chess Pieces and Chessboard Squares

Pisymbolfselch0 7 Pisymbolfselch55 n Pisymbolfselch110

Pisymbolfselch1 8 Pisymbolfselch56 o Pisymbolfselch111

Pisymbolfselch2 9 Pisymbolfselch57 p Pisymbolfselch112

Pisymbolfselch3 Pisymbolfselch58 q Pisymbolfselch113

Pisymbolfselch4 Pisymbolfselch59 r Pisymbolfselch114

Pisymbolfselch5 lt Pisymbolfselch60 s Pisymbolfselch115

Pisymbolfselch6 = Pisymbolfselch61 t Pisymbolfselch116

Pisymbolfselch7 gt Pisymbolfselch62 u Pisymbolfselch117

Pisymbolfselch8 Pisymbolfselch63 v Pisymbolfselch118

Pisymbolfselch9 Pisymbolfselch64 w Pisymbolfselch119

Pisymbolfselch10 A Pisymbolfselch65 x Pisymbolfselch120

Pisymbolfselch11 B Pisymbolfselch66 y Pisymbolfselch121

Pisymbolfselch12 C Pisymbolfselch67 z Pisymbolfselch122

13 Pisymbolfselch13 D Pisymbolfselch68 Pisymbolfselch123

Pisymbolfselch14 E Pisymbolfselch69 | Pisymbolfselch124

Pisymbolfselch15 F Pisymbolfselch70 Pisymbolfselch125


224


Pisymbolfselch16 G Pisymbolfselch71 ~ Pisymbolfselch126

Pisymbolfselch17 H Pisymbolfselch72 Pisymbolfselch127

Pisymbolfselch18 I Pisymbolfselch73 Pisymbolfselch128

Pisymbolfselch19 J Pisymbolfselch74 Pisymbolfselch129

Pisymbolfselch20 K Pisymbolfselch75 Pisymbolfselch130

Pisymbolfselch21 L Pisymbolfselch76 Pisymbolfselch131

Pisymbolfselch22 M Pisymbolfselch77 Pisymbolfselch132

Pisymbolfselch23 N Pisymbolfselch78 Pisymbolfselch133

Pisymbolfselch24 O Pisymbolfselch79 Pisymbolfselch134

Pisymbolfselch25 P Pisymbolfselch80 Pisymbolfselch135

Pisymbolfselch26 Q Pisymbolfselch81 Pisymbolfselch136

Pisymbolfselch27 R Pisymbolfselch82 Pisymbolfselch137

Pisymbolfselch28 S Pisymbolfselch83 Pisymbolfselch138

Pisymbolfselch29 T Pisymbolfselch84 Pisymbolfselch139

Pisymbolfselch30 U Pisymbolfselch85 Pisymbolfselch140

Pisymbolfselch31 V Pisymbolfselch86 Pisymbolfselch141

Pisymbolfselch32 W Pisymbolfselch87 Pisymbolfselch142

Pisymbolfselch33 X Pisymbolfselch88 Pisymbolfselch143

Pisymbolfselch34 Y Pisymbolfselch89 Pisymbolfselch144

Pisymbolfselch35 Z Pisymbolfselch90 Pisymbolfselch145

$ Pisymbolfselch36 [ Pisymbolfselch91 Pisymbolfselch151

Pisymbolfselch37 Pisymbolfselch92 Pisymbolfselch157

amp Pisymbolfselch38 ] Pisymbolfselch93 pound Pisymbolfselch163

Pisymbolfselch39 ^ Pisymbolfselch94 copy Pisymbolfselch169

( Pisymbolfselch40 _ Pisymbolfselch95 macr Pisymbolfselch175

) Pisymbolfselch41 ` Pisymbolfselch96 acute Pisymbolfselch180

Pisymbolfselch42 a Pisymbolfselch97 ordm Pisymbolfselch186

+ Pisymbolfselch43 b Pisymbolfselch98 Agrave Pisymbolfselch192

Pisymbolfselch44 c Pisymbolfselch99 AElig Pisymbolfselch198

- Pisymbolfselch45 d Pisymbolfselch100 Igrave Pisymbolfselch204

Pisymbolfselch46 e Pisymbolfselch101 Ograve Pisymbolfselch210

Pisymbolfselch47 f Pisymbolfselch102 Oslash Pisymbolfselch216

0 Pisymbolfselch48 g Pisymbolfselch103 THORN Pisymbolfselch222

1 Pisymbolfselch49 h Pisymbolfselch104 auml Pisymbolfselch228

2 Pisymbolfselch50 i Pisymbolfselch105 ecirc Pisymbolfselch234

3 Pisymbolfselch51 j Pisymbolfselch106 eth Pisymbolfselch240

4 Pisymbolfselch52 k Pisymbolfselch107 ouml Pisymbolfselch246

5 Pisymbolfselch53 l Pisymbolfselch108

6 Pisymbolfselch54 m Pisymbolfselch109

In addition to the fselch font showcased above bartel-chess-fonts also providesa pkelch font which includes the same symbol set (minus some of the higher-numbered characters) but drawn in a slightly different style

bartel-chess-fonts provides the fselch and pkelch fonts in various sizes (opticallyscaled) See ldquoLATEX 2120576 Font Selectionrdquo [LAT00] for advice on how to expose thesesorts of fonts to LATEX using DeclareFontFamily and DeclareFontShape

225

10 Additional Information

Unlike the previous sections of this document Section 10 does not contain new symbol tables Ratherit provides additional help in using the Comprehensive LATEX Symbol List First it draws attention tosymbol names used by multiple packages Next it provides some guidelines for finding symbols and givessome examples regarding how to construct missing symbols out of existing ones Then it comments on thespacing surrounding symbols in math mode After that it presents an ASCII and Latin 1 quick-referenceguide showing how to enter all of the standard ASCIILatin 1 symbols in LATEX And finally it lists somestatistics about this document itself

101 Symbol Name Clashes

Unfortunately a number of symbol names are not unique they appear in more than one package Dependingon how the symbols are defined in each package LATEX will either output an error message or replace anearlier-defined symbol with a later-defined symbol Table 522 on the following page presents a selection ofname clashes that appear in this document

Using multiple symbols with the same name in the same documentmdashor even merely loading conflictingsymbol packagesmdashcan be tricky but as evidenced by the existence of Table 522 not impossible The generalprocedure is to load the first package rename the conflicting symbols and then load the second packageExamine the LATEX source for this document (symbolstex) for examples of this and other techniques forhandling symbol conflicts Note that symbolstexrsquos savesymbol and restoresymbol macros have beenextracted into the savesym package which can be downloaded from CTAN

txfonts and pxfonts redefine a huge number of symbolsmdashessentially all of the symbols defined by latexsymtextcomp the various 119964ℳ119982 symbol sets and LATEX 2120576 itself Similarly mathabx redefines a vast number ofmath symbols in an attempt to improve their look The txfonts pxfonts and mathabx conflicts are notlisted in Table 522 because they are designed to be compatible with the symbols they replace Table 523 onpage 228 illustrates what ldquocompatiblerdquo means in this context

To use the new txfontspxfonts symbols without altering the documentrsquos main font merely reset thedefault font families back to their original values after loading one of those packages

renewcommandrmdefaultcmr

renewcommandsfdefaultcmss

renewcommandttdefaultcmtt

102 Resizing symbols

Mathematical symbols listed in this document as ldquovariable-sizedrdquo are designed to stretch vertically Eachvariable-sized symbol comes in one or more basic sizes plus a variation comprising both stretchable andnonstretchable segments Table 524 on page 228 presents the symbols and uparrow in their default sizein their big Big bigg and Bigg sizes in an even larger size achieved using leftright andmdashforcontrastmdashin a large size achieved by changing the font size using LATEX 2120576rsquos fontsize command Becausethe symbols shown belong to the Computer Modern family the type1cm package needs to be loaded tosupport font sizes larger than 2488 pt

Note how fontsize makes the symbol wider and thicker (The graphicx packagersquos scalebox orresizebox commands would produce a similar effect) Also the fontsize-enlarged symbol is verti-cally centered relative to correspondingly large text unlike the symbols enlarged using big et al or leftright which all use the same math axis regardless of symbol size However fontsize is not limited tomathematical delimiters Also scalebox and resizebox are more robust to poorly composed symbols(eg two symbols made to overlap by backspacing a fixed distance) but do not work with every TEX backendand will produce jagged symbols when scaling a bitmapped font

All variable-sized delimiters are defined (by the corresponding tfm file) in terms of up to five segmentsas illustrated by Figure 1 on page 228 The top middle and bottom segments are of a fixed size Thetop-middle and middle-bottom segments (which are constrained to be the same character) are repeated asmany times as necessary to achieve the desired height

226

Table

522

Sym

bol

Nam

eC

lash

es

Sym

bol

LAT

EX

2 120576119964ℳ119982

stmaryrd

wasysym

mathabx

marvosym

bbding

ifsym

dingb

atwsuipa

baro

lt

bigtriangledown

`

bigtriangleup

a

checkmark

XD

Circle

5

Cross

ggg

≫Iuml

Letter

B

lightning

Lightning

E

lll

≪Icirc

Square

f

0Sun

Agrave

TriangleDown

o3

TriangleUp

n1

227

Table 523 Example of a Benign Name Clash

Default txfontsSymbol (Computer Modern) (Times Roman)

R R Rtextrecipe

Table 524 Sample resized delimiters

Symbol Default size big Big bigg Bigg left right fontsize

⎫⎪⎪⎪⎪⎪⎪⎪⎬⎪⎪⎪⎪⎪⎪⎪⎭

uparrow uarr⎮ ⎮⎮ ⎮⎮⎮

⎮⎮⎮⎮

⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮uarr

⎫⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎬⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎭

minusrarr

⎫ top

⎪ top-middle (extensible)

⎬ middle

⎪ middle-bottom (extensible)

⎭ bottom

Figure 1 Implementation of variable-sized delimiters

228

103 Where can I find the symbol for

If you canrsquot find some symbol yoursquore looking for in this document there are a few possible explanations

bull The symbol isnrsquot intuitively named As a few examples the ifsym command to draw dice is ldquoCuberdquoa plus sign with a circle around it (ldquoexclusive orrdquo to computer engineers) is ldquooplusrdquo and lightningbolts in fonts designed by German speakers may have ldquoblitzrdquo in their names as in the ulsy packageThe moral of the story is to be creative with synonyms when searching the index

bull The symbol is defined by some package that I overlooked (or deemed unimportant) If therersquos somesymbol package that you think should be included in the Comprehensive LATEX Symbol List pleasesend me e-mail at the address listed on the title page

bull The symbol isnrsquot defined in any package whatsoever

Even in the last case all is not lost Sometimes a symbol exists in a font but there is no LATEX bindingfor it For example the PostScript Symbol font contains a ldquocrarrrdquo symbol which may be useful for representinga carriage return but there is no package (as far as I know) for accessing that symbol To produce anunnamed symbol you need to switch to the font explicitly with LATEX 2120576rsquos low-level font commands [LAT00]and use TEXrsquos primitive char command [Knu86a] to request a specific character number in the font Forexample one can define a command to typeset a long s (ldquo ſ rdquo) using character 115 from the Latin Modernfonts in the TS1 font encoding

newcommandtextlongs

fontencodingTS1fontfamilylmrselectfontchar115

Then ldquotextlongs uccetextlongs sfulrdquo will produce ldquoſucceſsfulrdquomdashin the current font style (romanitalic bold etc)

In fact char is not strictly necesssary in all cases the character can often be entered symbolically Forexample the symbol for an impulse train or Tate-Shafarevich group (ldquoXrdquo) is actually an uppercase sha inthe Cyrillic alphabet (Cyrillic is supported by the OT2 font encoding for instance) While a sha can bedefined numerically as ldquofontencodingOT2selectfontchar88rdquo it may be more intuitive to use theOT2 font encodingrsquos ldquoSHrdquo ligature ldquofontencodingOT2selectfont SHrdquo Another possibility is touse the T2A font encodingrsquos CYRSH command ldquofontencodingT2AselectfontCYRSHrdquo

For the specific case of the U font encoding which is used for symbol or ldquopirdquo fonts the pifont packagedefines a convenient Pisymbol command Pisymbol typesets a specified character (by number) in aspecified font family For example ldquoPisymbolpsy191rdquo produces the aforementioned ldquocrarrrdquo symbol bytypesetting character number 191 in the psy (PostScript Symbol) font family

Reflecting and rotating existing symbols

A common request on comptexttex is for a reversed or rotated version of an existing symbol Asa last resort these effects can be achieved with the graphicx (or graphics) packagersquos reflectbox androtatebox macros For example textsuperscriptreflectbox produces an irony mark (ldquo rdquo)and rotatebox[origin=c]180$iota$ produces the definite-description operator (ldquo 120580rdquo) As noted byMarc Olschok in a July 2011 post on comptexttex Project Gutenberg uses reflectbox to typeset thepart (ldquo3rdquo) and whole (ldquo 3rdquo) relations used in Dedekindrsquos set notation

newcommandpartofmathrelraisebox045ex$mathfrak3$

newcommandwholeofmathrelreflectbox$partof$

The disadvantage of the graphicxgraphics approach is that not every TEX backend handles graphicaltransformations5 Far better is to find a suitable font that contains the desired symbol in the correctorientation For instance if the phonetic package is available then textitriota will yield a backend-independent ldquordquo Similarly tiparsquos textrevepsilon (ldquo3rdquo) or wsuiparsquos revepsilon (ldquordquo) may be used to

5As an example Xdvi ignores both reflectbox and rotatebox

229

express the mathematical notion of ldquosuch thatrdquo in a cleaner manner than with reflectbox or rotatebox6

Joining and overlapping existing symbols

Symbols that do not exist in any font can sometimes be fabricated out of existing symbols The LATEX 2120576source file fontdefdtx contains a number of such definitions For example models (see Table 88 onpage 52) is defined in that file with

defmodelsmathrel|joinrel=

where mathrel and joinrel are used to control the horizontal spacing def is the TEX primitive uponwhich LATEXrsquos newcommand is based See The TEXbook [Knu86a] for more information on all three of thosecommands

With some simple pattern-matching one can easily define a backward models sign (ldquo=|rdquo)

defismodeledby=joinrelmathrel|

In general arrowsharpoons horizontal lines (ldquo=rdquo ldquo-rdquo ldquorelbarrdquo and ldquoRelbarrdquo) and the variousmath-extension characters can be combined creatively with miscellaneous other characters to produce avariety of new symbols Of course new symbols can be composed from any set of existing characters Forinstance LATEX defines hbar (ldquo~rdquo) as a ldquomacrrdquo character (mathcharrsquo26) followed by a backspace of 9 mathunits (mkern-9mu) followed by the letter ldquoℎrdquo

defhbarmathcharrsquo26mkern-9muh

We can just as easily define other barred letters

defbbarmathcharrsquo26mkern-9mu b

defdbarmathcharrsquo26mkern-12mu d

(The space after the ldquomurdquo is optional but is added for clarity) bbar and dbar define ldquo119887rdquo and ldquo119889rdquorespectively Note that dbar requires a greater backward math kern than bbar a minus9 mu kern would haveproduced the less-attractive ldquordquo glyph

The amsmath package provides overset and underset commands for placing one symbol respectively

above or below another For example oversetGsim7 produces ldquo119866simrdquo (sometimes used for ldquoequidecom-

posable with respect to 119866rdquo)Sometimes an ordinary tabular environment can be co-opted into juxtaposing existing symbols into a

new symbol Consider the following definition of asterism (ldquo rdquo) from a June 2007 post to comptexttex

by Peter Flynn

newcommandasterismsmash

raisebox-5ex

setlengthtabcolsep-5pt

begintabularcc

multicolumn2c[-2ex]amp

endtabular

Note how the space between columns (tabcolsep) and rows ([ ]) is made negative to squeeze theasterisks closer together

There is a TEX primitive called mathaccent that centers one mathematical symbol atop another Forexample one can define dotcup (ldquo middotcuprdquo)mdashthe composition of a cup and a cdotmdashas follows

6More common symbols for representing ldquosuch thatrdquo include ldquo|rdquo ldquordquo and ldquostrdquo7LATEXrsquos stackrel command is similar but is limited to placing a symbol above a binary relation

230

newcommanddotcupensuremathmathaccentcdotcup

The catch is that mathaccent requires the accent to be a ldquomath characterrdquo That is it must be a characterin a math font as opposed to a symbol defined in terms of other symbols See The TEXbook [Knu86a] formore information

Another TEX primitive that is useful for composing symbols is vcenter vcenter is conceptually similarto ldquobegintabularlrdquo in LATEX but takes a list of vertical material instead of -separated rows Alsoit vertically centers the result on the math axis (Many operators such as ldquo+rdquo and ldquominusrdquo are also verticallycentered on the math axis) Enrico Gregorio posted the following symbol definition to comptexttex inMarch 2004 in response to a query about an alternate way to denote equivalence

newcommandthreesim

mathrelvcenteroffinterlineskip

hbox$sim$vskip-35exhbox$sim$vskip-35exhbox$sim$

The threesim symbol which vertically centers three sim (ldquosimrdquo) symbols with 035 119909-heights of spacebetween them is rendered as ldquosimsimsimrdquo offinterlineskip is a macro that disables implicit interline spacingWithout it threesim would have a full line of vertical spacing between each sim Because of vcenterthreesim aligns properly with other math operators 119886divide 119887 simsimsim 119888times 119889

A related LATEX command borrowed from Plain TEX is ooalign ooalign vertically overlaps symbolsand works both within and outside of math mode Essentially it creates a single-column tabular environ-ment with zero vertical distance between rows However because it is based directly on TEXrsquos ialign

primitive ooalign uses TEXrsquos tabular syntax instead of LATEXrsquos (ie with cr as the row terminator in-stead of ) The following example of ooalign a macro that defines a standard-state symbol (ststldquominus∘ rdquo) as a superscripted Plimsoll line (barcirc ldquominus∘rdquo)8 is due to an October 2007 comptexttex post byDonald Arseneau

makeatletter

providecommandbarcircmathpalettebarredcirc

defbarred12ooalignhfil$1-$hfilcrhfil$12$hfilcr

newcommandstst^protectbarcirc

makeatother

In the preceding code note the ooalign callrsquos use of hfil to horizontally center a minus sign (ldquominusrdquo)and a circ (ldquo∘rdquo)

As another example of ooalign consider the following code (due to Enrico Gregorio in a June 2007post to comptexttex) that overlaps a ni (ldquonirdquo) and two minus signs (ldquominusminusrdquo) to produce ldquoniminusminusrdquo an obscurevariation on the infrequently used ldquo3rdquo symbol for ldquosuch thatrdquodiscussed on page 229

newcommandsuchthat

mathrelooalign$ni$crkern-1pt$-$kern-65pt$-$

The slashed package although originally designed for producing Feynman slashed-character notation infact facilitates the production of arbitrary overlapped symbols The default behavior is to overwrite a givencharacter with ldquordquo For example slashedD produces ldquo 119863rdquo However the declareslashed commandprovides the flexibility to specify the mathematical context of the composite character (operator relationpunctuation etc as will be discussed in Section 104) the overlapping symbol horizontal and verticaladjustments in symbol-relative units and the character to be overlapped Consider for example the symbolfor reduced quadrupole moment (ldquo-119868rdquo) This can be declared as follows

newcommandrqm

declareslashedtext-0040IslashedI

8While barcirc illustrates how to combine symbols using ooalign the stmaryrd packagersquos minuso command (Table 52on page 32) provides a similar glyph (ldquordquo) as a single indivisible symbol

231

declareslashedmiddotmiddotmiddotmiddotI affects the meaning of all subsequent slashedI commands in the samescope The preceding definition of rqm therefore uses an extra set of curly braces to limit that scope to asingle slashedI In addition rqm uses amstextrsquos text macro (described on the next page) to makedeclareslashed use a text-mode hyphen (ldquo-rdquo) instead of a math-mode minus sign (ldquominusrdquo) and to ensurethat the hyphen scales properly in size in subscripts and superscripts See slashedrsquos documentation (locatedin slashedsty itself) for a detailed usage description of the slashed and declareslashed commands

Somewhat simpler than slashed is the centernot package centernot provides a single commandcenternot which like not puts a slash over the subsequent mathematical symbol However insteadof putting the slash at a fixed location centernot centers the slash over its argument centernot mightbe used for example to create a ldquodoes not implyrdquo symbol

=rArr notLongrightarrow

vs

=rArr centernotLongrightarrow

See the centernot documentation for more information

Making new symbols work in superscripts and subscripts

To make composite symbols work properly within subscripts and superscripts you may need to use TEXrsquosmathchoice primitive mathchoice evaluates one of four expressions based on whether the current mathstyle is display text script or scriptscript (See The TEXbook [Knu86a] for a more complete descrip-tion) For example the following LATEX codemdashposted to comptexttex by Torsten Brongermdashcomposes asubsuperscriptable ldquoperp⊤rdquo symbol out of top and bot (ldquo⊤rdquo and ldquoperprdquo)

deftopbotatom1hboxhbox to 0pt$1bot$hss$1top$

newcommandtopbotmathrelmathchoicetopbotatomdisplaystyle

topbotatomtextstyle

topbotatomscriptstyle

topbotatomscriptscriptstyle

The following is another example that uses mathchoice to construct symbols in different math modesThe code defines a principal value integral symbol which is an integral sign with a line through it

defXint1mathchoice

XXintdisplaystyletextstyle1

XXinttextstylescriptstyle1

XXintscriptstylescriptscriptstyle1

XXintscriptscriptstylescriptscriptstyle1

int

defXXint123setbox0=hbox$123int$

vcenterhbox$23$kern-5wd0

defddashintXint=

defdashintXint-

(The preceding code was taken verbatim from the UK TEX Usersrsquo Group FAQ at httpwwwtexacukfaq) dashint produces a single-dashed integral sign (ldquominus

intrdquo) while ddashint produces a double-dashed

one (ldquo=int

rdquo) The Xint macro defined above can also be used to generate a wealth of new integrals ldquoint

rdquo(Xintcirclearrowright) ldquo

intrdquo (Xintcirclearrowleft) ldquosub

intrdquo (Xintsubset) ldquoinfin

intrdquo (Xintinfty)

and so forthLATEX 2120576 provides a simple wrapper for mathchoice that sometimes helps produce terser symbol def-

initions The macro is called mathpalette and it takes two arguments mathpalette invokes the firstargument passing it one of ldquodisplaystylerdquo ldquotextstylerdquo ldquoscriptstylerdquo or ldquoscriptscriptstylerdquofollowed by the second argument mathpalette is useful when a symbol macro must know which mathstyle is currently in use (eg to set it explicitly within an mbox) Donald Arseneau posted the follow-ing mathpalette-based definition of a probabilistic-independence symbol (ldquoperpperprdquo) to comptexttex inJune 2000

232

newcommandindependentprotectmathpaletteprotectindependenTperp

defindependenT12mathrelrlap$12$mkern2mu12

The independent macro uses mathpalette to pass the independenT helper macro both the current mathstyle and the perp symbol independenT typesets perp in the current math style moves two math unitsto the right and finally typesets a secondmdashoverlappingmdashcopy of perp again in the current math stylerlap which enables text overlap is described later on this page

Some people like their square-root signs with a trailing ldquohookrdquo (ie ldquoradic

rdquo) as this helps visually distinguish

expressions like ldquoradic

3119909 rdquo from those like ldquoradic

3119909rdquo In March 2002 Dan Luecking posted a mathpalette-based

definition of a hooked square-root symbol to comptexttex This code was subsequently refined by Max

Dohse and Scott Pakin into the version shown below which accepts a root as an optional argument for

consistency with sqrt

newcommandhksqrt[2][]mathpaletteDHLhksqrt[1]2

defDHLhksqrt12setbox0=hbox$1sqrt2$dimen0=ht0

advancedimen0-02ht0

setbox2=hboxvrule heightht0 depth -dimen0

box0lower04ptbox2

Notice how hksqrt uses mathpalette to pass the current math style (displaystyle textstyle etc)to DHLhksqrt as argument 1 DHLhksqrt subsequently uses that style within an hbox The rest of thecode is simply using TEX primitives to position a hook of height 02 times the sqrt height at the right ofthe sqrt See The TEXbook [Knu86a] for more understanding of TEX ldquoboxesrdquo and ldquodimensrdquo

Sometimes however amstextrsquos text macro is all that is necessary to make composite symbols appearcorrectly in subscripts and superscripts as in the following definitions of neswarrow (ldquordquo) and nwsearrow

(ldquordquo)9

newcommandneswarrowmathreltext$nearrow$llap$swarrow$

newcommandnwsearrowmathreltext$nwarrow$llap$searrow$

text resembles LATEXrsquos mbox command but shrinks its argument appropriately when used within a sub-script or superscript llap (ldquoleft overlaprdquo) and its counterpart rlap (ldquoright overlaprdquo) appear frequentlywhen creating composite characters llap outputs its argument to the left of the current position over-lapping whatever text is already there Similarly rlap overlaps whatever text would normally appear tothe right of its argument For example ldquoAllapBrdquo and ldquorlapABrdquo each produce ldquoABrdquo However theresult of the former is the width of ldquoArdquo and the result of the latter is the width of ldquoBrdquomdashllap andrlap take up zero space

In a June 2002 post to comptexttex Donald Arseneau presented a general macro for aligning anarbitrary number of symbols on their horizontal centers and vertical baselines

makeatletter

defmoverlaymathpalettemovrlay

defmovrlay12leavevmodevtop

baselineskipzskip lineskiplimit-maxdimen

ialignhfil$1$hfilcr2crcr

makeatother

The makeatletter and makeatother commands are needed to coerce LATEX into accepting ldquordquo as partof a macro name moverlay takes a list of symbols separated by cr (TEXrsquos equivalent of LATEXrsquos) For example the topbot command defined on the previous page could have been expressed asldquomoverlaytopcrbotrdquo and the neswarrow command defined above could have been expressed asldquomoverlaynearrowcrswarrowrdquo

The basic concept behind moverlayrsquos implementation is that moverlay typesets the given symbols in atable that utilizes a zero baselineskip This causes every row to be typeset at the same vertical positionSee The TEXbook [Knu86a] for explanations of the TEX primitives used by moverlay

9Note that if your goal is to typeset commutative diagrams or pushoutpullback diagrams then you should probably beusing XY-pic

233

Modifying LATEX-generated symbols

Oftentimes symbols composed in the LATEX 2120576 source code can be modified with minimal effort to produceuseful variations For example fontdefdtx composes the ddots symbol (see Table 269 on page 119) outof three periods raised 7 pt 4 pt and 1 pt respectively

defddotsmathinnermkern1muraise7p

vboxkern7phboxmkern2mu

raise4phboxmkern2muraisephboxmkern1mu

p is a LATEX 2120576 shortcut for ldquoptrdquo or ldquo10ptrdquo The remaining commands are defined in TheTEXbook [Knu86a] To draw a version of ddots with the dots going along the opposite diagonal wemerely have to reorder the raise7p raise4p and raisep

makeatletter

defrevddotsmathinnermkern1muraisep


raise4phboxmkern2muraise7phboxmkern1mu

makeatother

revddots is essentially identical to the mathdots packagersquos iddots command or the yhmath packagersquosadots command

Producing complex accents

Accents are a special case of combining existing symbols to make new symbols While various tables in thisdocument show how to add an accent to an existing symbol some applications such as transliterations fromnon-Latin alphabets require multiple accents per character For instance the creator of pdfTEX writes hisname as ldquoHan Thacutee Thanhrdquo The dblaccnt package enables LATEX to stack accents as in ldquoHlsquoan Thrsquoê

Thlsquoanhrdquo (albeit not in the OT1 font encoding) In addition the wsuipa package defines diatop anddiaunder macros for putting one or more diacritics or accents above or below a given character Forexample diaunder[diatop[rsquo|=]|textsubdotr] produces ldquoacuter

˙rdquo See the wsuipa documentation

for more informationThe accents package facilitates the fabrication of accents in math mode Its accentset command

enables any character to be used as an accent For instance accentsetstarf produces ldquo⋆

119891 rdquo and

accentseteX produces ldquo119890

119883rdquo underaccent does the same thing but places the accent beneath thecharacter This enables constructs like underaccenttildeV which produces ldquo

˜119881 rdquo accents provides

other accent-related features as well see the documentation for more information

Creating extensible symbols

A relatively simple example of creating extensible symbols stems from a comptexttex post by DonaldArseneau (June 2003) The following code defines an equals sign that extends as far to the right as possiblejust like LATEXrsquos hrulefill command

makeatletter

defequalsfill$mthmathord=mkern-7mu

cleadershbox$mathord=$hfill

mkern-7mumathord=$

makeatother

TEXrsquos cleaders and hfill primitives are the key to understanding equalsfillrsquos extensibility Essen-tially equalsfill repeats a box containing ldquo=rdquo plus some negative space until it fills the maximum availablehorizontal space equalsfill is intended to be used with LATEXrsquos stackrel command which stacks onemathematical expression (slightly reduced in size) atop another Hence ldquostackrelarightarrowrdquo

234

produces ldquo119886rarrrdquo and ldquoX stackreltextdefinitionhboxequalsfill Yrdquo produces ldquo119883

definition=======

119884 rdquoIf all that needs to extend are horizontal and vertical linesmdashas opposed to repeated symbols such as the

ldquo=rdquo in the previous examplemdashLATEXrsquos array or tabular environments may suffice Consider the followingcode (due to a February 1999 comptexttex post by Donald Arseneau and subsequent modifications byBilly Yu and Scott Pakin) for typesetting annuity and life-insurance symbols

DeclareRobustCommandactuarial[2][]

defarraystretch0

setlengtharraycolsep05pt

setlengtharrayrulewidth05pt

setbox0=hbox$scriptstyle12$

beginarray[b]2gtscriptstylec|

cline2-2

rule[125pt]0ptht0

1 amp 2

endarray

Using the preceding definition one can type eg ldquo$a_actuarialn$rdquo to produce ldquo119886119899rdquo andldquo$a_actuarial[x]n$rdquo to produce ldquo119886119909119899 rdquo This is similar in concept to how the actuarialangle packagedefines its actuarialangle command (Table 255)

A more complex example of composing accents is the following definition of extensible overbracketunderbracket overparenthesis and underparenthesis symbols taken from a May 2002comptexttex post by Donald Arseneau

makeatletter

defoverbracket1mathopvboxialigncrcrnoalignkern3p

downbracketfillcrcrnoalignkern3pnointerlineskip

$hfildisplaystyle1hfil$crcrlimits

defunderbracket1mathopvtopialigncrcr

$hfildisplaystyle1hfil$crcrnoalignkern3pnointerlineskip

upbracketfillcrcrnoalignkern3plimits

defoverparenthesis1mathopvboxialigncrcrnoalignkern3p

downparenthfillcrcrnoalignkern3pnointerlineskip


defunderparenthesis1mathopvtopialigncrcr


upparenthfillcrcrnoalignkern3plimits

defdownparenthfill$mthbraceldleadersvrulehfillbracerd$

defupparenthfill$mthbraceluleadersvrulehfillbraceru$

defupbracketfill$mthmakesmshllapvruleheight3pwidth7p

leadersvruleheight7phfill

makesmshrlapvruleheight3pwidth7p$

defdownbracketfill$mth

makesmshllapvruleheight7pdepth23pwidth7p


makesmshrlapvruleheight7pdepth23pwidth7p$

makeatother

Table 525 showcases these accents The TEXbook [Knu86a] or another book on TEX primitives is in-dispensible for understanding how the preceding code works The basic idea is that downparenthfillupparenthfill downbracketfill and upbracketfill do all of the work they output a left symbol(eg braceld [ldquo⏞rdquo] for downparenthfill) a horizontal rule that stretches as wide as possible and a rightsymbol (eg bracerd [ldquo rdquo] for downparenthfill) overbracket underbracket overparenthesis

235

and underparenthesis merely create a table whose width is determined by the given text thereby con-straining the width of the horizontal rules

Table 525 Manually Composed Extensible Accents

119886119887119888 overbracketabc⏞ 119886119887119888 overparenthesisabc

119886119887119888 underbracketabc 119886119887119888⏟ underparenthesisabc

Note that the simplewick package provides mechanisms for typesetting Wick contractions which utilizeoverbracket- and underbracket-like brackets of variable width and height (or depth) For exampleldquoacontractionABCacontraction[2ex]ABCDbcontractionABCDABCDrdquo pro-duces

119860119861119862119863

See the simplewick documentation for more information

Developing new symbols from scratch

Sometimes is it simply not possible to define a new symbol in terms of existing symbols Fortunately mostif not all TEX distributions are shipped with a tool called METAFONT which is designed specifically forcreating fonts to be used with TEX The METAFONTbook [Knu86b] is the authoritative text on METAFONTIf you plan to design your own symbols with METAFONT The METAFONTbook is essential reading You mayalso want to read the freely available METAFONT primer located at httpmetafonttutorialfreefrThe following is an extremely brief tutorial on how to create a new LATEX symbol using METAFONT Itsprimary purpose is to cover the LATEX-specific operations not mentioned in The METAFONTbook and todemonstrate that symbol-font creation is not necessarily a difficult task

Suppose we need a symbol to represent a light bulb (ldquoArdquo)10 The first step is to draw this in METAFONTIt is common to separate the font into two files a size-dependent file which specifies the design size andvarious font-specific parameters that are a function of the design size and a size-independent file which drawscharacters in the given size Figure 2 shows the METAFONT code for lightbulb10mf lightbulb10mf

specifies various parameters that produce a 10 pt light bulb then loads lightbulbmf Ideally one shouldproduce lightbulb⟨size⟩mf files for a variety of ⟨size⟩s This is called ldquooptical scalingrdquo It enables forexample the lines that make up the light bulb to retain the same thickness at different font sizes whichlooks much nicer than the alternativemdashand defaultmdashldquomechanical scalingrdquo When a lightbulb⟨size⟩mf filedoes not exist for a given size ⟨size⟩ the computer mechanically produces a wider taller thicker symbol

A vs A vs A vs A vs A vs A vs A10 pt 20 pt 30 pt 40 pt 50 pt 60 pt 70 pt

lightbulbmf shown in Figure 3 draws a light bulb using the parameters defined in lightbulb10mfNote that the the filenames ldquolightbulb10mfrdquo and ldquolightbulbmfrdquo do not follow the Berry font-namingscheme [Ber01] the Berry font-naming scheme is largely irrelevant for symbol fonts which generally lackbold italic small-caps slanted and other such variants

The code in Figures Figure 2 and Figure 3 is heavily commented and should demonstrate some of thebasic concepts behind METAFONT usage declaring variables defining points drawing lines and curves andpreparing to debug or fine-tune the output Again The METAFONTbook [Knu86b] is the definitive referenceon METAFONT programming

10Irsquom not a very good artist yoursquoll have to pretend that ldquoArdquo looks like a light bulb

236

font identifier = LightBulb10 Name the fontfont size 10pt Specify the design size

em = 10pt ldquoMrdquo width is 10 pointscap = 7pt Capital letter height is 7 points above the baselinesb = 14pt Leave this much space on the side of each character119900 = 116pt Amount that curves overshoot borders

input lightbulb Load the file that draws the actual glyph

Figure 2 Sample METAFONT size-specific file (lightbulb10mf)

mode setup Target a given printer

define pixels(em cap sb) Convert to device-specific unitsdefine corrected pixels(119900) Same but add a device-specific fudge factor

Define a light bulb at the character position for ldquoArdquo with width 12em height cap and depth 1ptbeginchar(A 12em cap 1pt) A light bulb

pickup pencircle scaled 12pt Use a pen with a small circular tip

Define the points we needtop 1199111 = (1199082 ℎ+ 119900) 1199111 is at the top of a circlert 1199112 = (119908 + sb + 119900minus 1199094 1199104) 1199112 is at the same height as 1199114 but the opposite sidebot 1199113 = (1199111 minus (0 119908 minus sbminus 119900)) 1199113 is at the bottom of the circlelft 1199114 = (sbminus 119900 12[1199101 1199103]) 1199114 is on the left of the circlepath bulb Define a path for the bulb itselfbulb = 1199111 1199112 1199113 1199114 cycle The bulb is a closed path

1199115 = point 2minus 13of bulb 1199115 lies on the bulb a little to the right of 11991131199116 = (1199095 0) 1199116 is at the bottom directly under 11991151199117 = (1199098 0) 1199117 is at the bottom directly under 11991181199118 = point 2 + 13of bulb 1199118 lies on the bulb a little to the left of 1199113bot 11991167 = (12[1199096 1199097] pen botminus 119900minus 18pt) 11991167 lies halfway between 1199116 and 1199117 but a jot

lower

Draw the bulb and the basedraw bulb Draw the bulb properdraw 1199115 - - 1199116 11991167 1199117 - - 1199118 Draw the base of the bulb

Display key positions and points to help us debugmakegrid(0 sb 1199082 119908 minus sb)(0minus1pt 1199102 ℎ) Label ldquointerestingrdquo 119909 and 119910 coordinatespenlabels(1 2 3 4 5 6 67 7 8) Label control points for debugging

endcharend

Figure 3 Sample METAFONT size-independent file (lightbulbmf)

237

METAFONT can produce ldquoproofsrdquo of fontsmdashlarge labeled versions that showcase the logical structure ofeach character In fact proof mode is METAFONTrsquos default mode To produce a proof of lightbulb10mfissue the following commands at the operating-system prompt

promptgt mf lightbulb10mf lArr Produces lightbulb102602gf

promptgt gftodvi lightbulb102602gf lArr Produces lightbulb10dvi

You can then view lightbulb10dvi with any DVI viewer The result is shown in Figure 4 Observe howthe grid defined with makegrid at the bottom of Figure 3 draws vertical lines at positions 0 sb 1199082 and119908 minus sb and horizontal lines at positions 0 minus1pt 1199102 and ℎ Similarly observe how the penlabels commandlabels all of the important coordinates 1199111 1199112 1199118 and 11991167 which lightbulbmf defines to lie between 1199116and 1199117

1

2

3

4

5

6677

8

Figure 4 Proof diagram of lightbulb10mf

Most if not all TEX distributions include a Plain TEX file called testfonttex that is useful for testingnew fonts in a variety of ways One useful routine produces a table of all of the characters in the font

promptgt tex testfontThis is TeX Version 314159 (Web2C 731)

(usrsharetexmftexplainbasetestfonttex

Name of the font to test = lightbulb10Now type a test command (help for help))

∖table

∖bye[1]

Output written on testfontdvi (1 page 1516 bytes)

Transcript written on testfontlog

The resulting table stored in testfontdvi and illustrated in Figure 5 shows every character in the fontTo understand how to read the table note that the character code for ldquoArdquomdashthe only character defined bylightbulb10mfmdashis 41 in hexadecimal (base 16) and 101 in octal (base 8)

The LightBulb10 font is now usable by TEX LATEX 2120576 however needs more information before documentscan use the font First we create a font-description file that tells LATEX 2120576 how to map fonts in a given fontfamily and encoding to a particular font in a particular font size For symbol fonts this mapping is fairlysimple Symbol fonts almost always use the ldquoUrdquo (ldquoUnknownrdquo) font encoding and frequently occur in onlyone variant normal weight and non-italicized The filename for a font-description file important it mustbe of the form ldquo⟨encoding⟩⟨family⟩fdrdquo where ⟨encoding⟩ is the lowercase version of the encoding name

238

Test of lightbulb10 on March 11 2003 at 1127

0 1 2 3 4 5 6 710x A

˝4x11x

˝8 ˝9 ˝A ˝B ˝C ˝D ˝E ˝F

Figure 5 Font table produced by testfonttex

(typically ldquourdquo for symbol fonts) and ⟨family⟩ is the name of the font family For LightBulb10 letrsquos call thisldquobulbrdquo Figure 6 lists the contents of ubulbfd The document ldquoLATEX 2120576 Font Selectionrdquo [LAT00] describesDeclareFontFamily and DeclareFontShape in detail but the gist of ubulbfd is first to declare a U-encoded version of the bulb font family and then to specify that a LATEX 2120576 request for a U-encoded versionof bulb with a (m)edium font series (as opposed to eg bold) and a (n)ormal font shape (as opposed toeg italic) should translate into a TEX request for lightbulb10tfm mechanically scaled to the current fontsize

DeclareFontFamilyUbulb

DeclareFontShapeUbulbmnlt-gt lightbulb10

Figure 6 LATEX 2120576 font-description file (ubulbfd)

The final step is to write a LATEX 2120576 style file that defines a name for each symbol in the font Because wehave only one symbol our style file lightbulbsty (Figure 7) is rather trivial Note that instead of type-setting ldquoArdquo we could have had lightbulb typeset ldquochar65rdquo ldquochar41rdquo or ldquocharrsquo101rdquo (respectivelydecimal hexadecimal and octal character offsets into the font) For a simple one-character symbol fontsuch as LightBulb10 it would be reasonable to merge ubulbfd into lightbulbsty instead of maintainingtwo separate files In either case a document need only include ldquousepackagelightbulbrdquo to make thelightbulb symbol available

newcommandlightbulbusefontUbulbmnA

Figure 7 LATEX 2120576 style file (lightbulbsty)

METAFONT normally produces bitmapped fonts However it is also possible with the help of someexternal tools to produce PostScript Type 1 fonts These have the advantages of rendering better inAdobereg Acrobatreg (at least in versions prior to 60) and of being more memory-efficient when handled by aPostScript interpreter See httpwwwtexacukcgi-bintexfaq2htmllabel=textrace for pointers totools that can produce Type 1 fonts from METAFONT

104 Math-mode spacing

Terms such as ldquobinary operatorsrdquo ldquorelationsrdquo and ldquopunctuationrdquo in Section 3 primarily regard the sur-rounding spacing (See the Short Math Guide for LATEX [Dow00] for a nice exposition on the subject)To use a symbol for a different purpose you can use the TEX commands mathord mathop mathbinmathrel mathopen mathclose and mathpunct For example if you want to use downarrow as a vari-able (an ldquoordinaryrdquo symbol) instead of a delimiter you can write ldquo$3 x + mathorddownarrow$rdquo to getthe properly spaced ldquo3119909+ darrrdquo rather than the awkward-looking ldquo3119909+ darrrdquo Similarly to create a dotted-unionsymbol (ldquocuprdquo) that spaces like the ordinary set-union symbol (cup) it must be defined with mathbin justas cup is Contrast ldquo$A dotcup B$rdquo (ldquo119860cup119861rdquo) with ldquo$A mathbindotcup B$rdquo (ldquo119860 cup119861rdquo) SeeThe TEXbook [Knu86a] for the definitive description of math-mode spacing

239

The purpose of the ldquolog-like symbolsrdquo in Table 181 and Table 182 is to provide the correct amount ofspacing around and within multiletter function names Table 526 contrasts the output of the log-like symbolswith various naıve alternatives In addition to spacing the log-like symbols also handle subscripts properlyFor example ldquomax_p in Prdquo produces ldquomax119901isin119875 rdquo in text but ldquomax

119901isin119875rdquo as part of a displayed formula

Table 526 Spacing AroundWithin Log-like Symbols

LATEX expression Output

$r sin theta$ 119903 sin 120579 (best)$r sin theta$ 119903119904119894119899120579$r mboxsin theta$ 119903sin120579$r mathrmsin theta$ 119903sin120579

The amsmath package makes it straightforward to define new log-like symbols

DeclareMathOperatoratanatan

DeclareMathOperatorlcmlcm

The difference between DeclareMathOperator and DeclareMathOperator involves the handling of sub-scripts With DeclareMathOperator subscripts are written beneath log-like symbols in display style andto the right in text style This is useful for limit operators (eg lim) and functions that tend to map overa set (eg min) In contrast DeclareMathOperator tells TEX that subscripts should always be displayedto the right of the operator as is common for functions that take a single parameter (eg log and cos)Table 527 contrasts symbols declared with DeclareMathOperator and DeclareMathOperator in bothtext style ($ $) and display style ([ ])11

Table 527 Defining new log-like symbols

Declaration function $newlogsym p in P$ [ newlogsym p in P ]

DeclareMathOperator newlogsym119901isin119875 newlogsym119901isin119875


It is common to use a thin space () between the words of a multiword operators as inldquoDeclareMathOperatorargmaxargmaxrdquo liminf limsup and all of the log-like symbols shownin Table 182 utilize this spacing convention

105 Bold mathematical symbols

LATEX does not normally use bold symbols when typesetting mathematics However bold symbols areoccasionally needed for example when naming vectors Any of the approaches described at http

wwwtexacukcgi-bintexfaq2htmllabel=boldgreek can be used to produce bold mathematical sym-bols Table 528 contrasts the output produced by these various techniques As the table illustrates thesetechniques exhibit variation in their formatting of Latin letters (upright vs italic) formatting of Greekletters (bold vs normal) formatting of operators and relations (bold vs normal) and spacing

106 ASCII and Latin 1 quick reference

Table 529 on the next page amalgamates data from various other tables in this document into a convenientreference for LATEX 2120576 typesetting of ASCII characters ie the characters available on a typical US computer

11Note that displaystyle can be used to force display style within $ $ and textstyle can be used to force text stylewithin [ ]

240

Table 528 Producing bold mathematical symbols

Package Code Output

none $alpha + b = Gamma div D$ 120572+ 119887 = Γdivide119863 (no bold)none $mathbfalpha + b = Gamma div D$ 120572+ b = ΓdivideDnone boldmath$alpha + b = Gamma div D$ 120572 + 119887 = Γ divide 119863amsbsy $pmbalpha + b = Gamma div D$ 120572+ 119887 = Γdivide119863120572+ 119887 = Γdivide119863120572+ 119887 = Γdivide119863 (faked bold)amsbsy $boldsymbolalpha + b = Gamma div D$ 120572 + 119887 = Γ divide 119863bm $bmalpha + b = Gamma div D$ 120572+ 119887 = Γdivide119863fixmath $mathboldalpha + b = Gamma div D$ 120572 + 119887 = 120548 divide 119863

keyboard The first two columns list the characterrsquos ASCII code in decimal and hexadecimal The thirdcolumn shows what the character looks like The fourth column lists the LATEX 2120576 command to typeset thecharacter as a text character And the fourth column lists the LATEX 2120576 command to typeset the characterwithin a texttt command (or more generally when ttfamily is in effect)

Table 529 LATEX 2120576 ASCII Table

Dec Hex Char Body text texttt

33 21

34 22 textquotedbl

35 23

36 24 $ $ $

37 25

38 26 amp amp amp

39 27 rsquo rsquo rsquo

40 28 ( ( (

41 29 ) ) )

42 2A

43 2B + + +

44 2C

45 2D - - -

46 2E

47 2F

48 30 0 0 0

49 31 1 1 1

50 32 2 2 2

57 39 9 9 9

58 3A

59 3B

60 3C lt textless lt

61 3D = = =


62 3E gt textgreater gt

63 3F

64 40

65 41 A A A

66 42 B B B

67 43 C C C

90 5A Z Z Z

91 5B [ [ [

92 5C ∖ textbackslash charlsquo

93 5D ] ] ]

94 5E ^ ^ ^

95 5F _ charlsquo_

96 60 lsquo lsquo lsquo

97 61 a a a

98 62 b b b

99 63 c c c

122 7A z z z

123 7B charlsquo

124 7C | textbar |

125 7D charlsquo

126 7E ˜ ~ ~

The following are some additional notes about the contents of Table 529

bull ldquordquo is not available in the OT1 font encoding

bull Table 529 shows a close quote for character 39 for consistency with the open quote shown for charac-ter 96 A straight quote can be typeset using textquotesingle (cf Table 46)

241

bull The characters ldquoltrdquo ldquogtrdquo and ldquo|rdquo do work as expected in math mode although they produce respec-tively ldquoiexclrdquo ldquoiquestrdquo and ldquomdashrdquo in text mode when using the OT1 font encoding12 The following are somealternatives for typesetting ldquoltrdquo ldquogtrdquo and ldquo|rdquo

ndash Specify a document font encoding other than OT1 (as described on page 12)

ndash Use the appropriate symbol commands from Table 2 on page 14 viz textless textgreaterand textbar

ndash Enter the symbols in math mode instead of text mode ie $lt$ $gt$ and $|$

Note that for typesetting metavariables many people prefer textlangle and textrangle totextless and textgreater ie ldquo⟨filename⟩rdquo instead of ldquoltfilenamegtrdquo

bull Although ldquordquo does not require any special treatment LATEX additionally defines a slash commandwhich outputs the same glyph but permits a line break afterwards That is ldquoincreasedecreaserdquo isalways typeset as a single entity while ldquoincreaseslashdecreaserdquo may be typeset with ldquoincreaserdquoon one line and ldquodecreaserdquo on the next

bull textasciicircum can be used instead of ^ and textasciitilde can be used instead of ~Note that textasciitilde and ~ produce raised diacritic tildes ldquoTextrdquo (ie vertically centered)tildes can be generated with either the math-mode sim command (shown in Table 88 on page 52)which produces a somewhat wide ldquosimrdquo or the textcomp packagersquos texttildelow (shown in Table 46on page 28) which produces a vertically centered ldquo~rdquo in most fonts but a baseline-oriented ldquo~rdquo inComputer Modern txfonts pxfonts and various other fonts originating from the TEX world If yourgoal is to typeset tildes in URLs or Unix filenames your best bet is to use the url package which hasa number of nice features such as proper line-breaking of such names

bull The various char commands within texttt are necessary only in the OT1 font encoding In otherencodings (eg T1) commands such as _ and textbackslash all work properly

bull The code page 437 (IBM PC) version of ASCII characters 1 to 31 can be typeset using the ascii packageSee Table 326 on page 135

bull To replace ldquolsquordquo and ldquorsquordquo with the more computer-like (and more visibly distinct) ldquo`rdquo and ldquordquo withina verbatim environment use the upquote package Outside of verbatim you can use char18 andchar13 to get the modified quote characters (The former is actually a grave accent)

Similar to Table 529 Table 530 on the next page is an amalgamation of data from other tables in thisdocument While Table 529 shows how to typeset the 7-bit ASCII character set Table 530 shows the Latin 1(Western European) character set also known as ISO-8859-1


bull A ldquo(tc)rdquo after a symbol name means that the textcomp package must be loaded to access that symbolA ldquo(T1)rdquo means that the symbol requires the T1 font encoding The fontenc package can change thefont encoding document-wide

bull Many of the text accents can also be produced using the accent commands shown in Table 18 onpage 21 plus an empty argument For instance = is essentially the same as textasciimacron

bull The commands in the ldquoLATEX 2120576rdquo columns work both in body text and within a texttt command(or more generally when ttfamily is in effect)

bull The ldquo$rdquo and ldquo$rdquo glyphs occupy the same slot (36) of the OT1 font encoding with ldquo$rdquo appearing initalic fonts and ldquo$rdquo appearing in roman fonts A problem with LATEXrsquos default handling of this double-mapping is that ldquosffamilyslshapepoundsrdquo produces ldquo$rdquo not ldquopoundrdquo Other font encodings useseparate slots for the two characters and are therefore robust to the problem of ldquo$rdquordquo$rdquo conflictsAuthors who use pounds should select a font encoding other than OT1 (as explained on page 12) oruse the textcomp package which redefines pounds to use the TS1 font encoding

12Donald Knuth didnrsquot think such symbols were important outside of mathematics so he omitted them from his text fonts

242

Table 530 LATEX 2120576 Latin 1 Table

Dec Hex Char LATEX 2120576

161 A1 iexcl lsquo

162 A2 cent textcent (tc)163 A3 $ pounds

164 A4 curren textcurrency (tc)165 A5 yen textyen (tc)166 A6 brvbar textbrokenbar (tc)167 A7 sect S

168 A8 uml textasciidieresis (tc)169 A9 copy textcopyright

170 AA ordf textordfeminine

171 AB laquo guillemotleft (T1)172 AC not textlnot (tc)173 AD - -

174 AE reg textregistered

175 AF macr textasciimacron (tc)176 B0 deg textdegree (tc)177 B1 plusmn textpm (tc)178 B2 sup2 texttwosuperior (tc)179 B3 sup3 textthreesuperior (tc)180 B4 acute textasciiacute (tc)181 B5 micro textmu (tc)182 B6 para P

183 B7 middot textperiodcentered

184 B8 cedil c

185 B9 sup1 textonesuperior (tc)186 BA ordm textordmasculine

187 BB raquo guillemotright (T1)188 BC frac14 textonequarter (tc)189 BD frac12 textonehalf (tc)190 BE frac34 textthreequarters (tc)191 BF iquest lsquo

192 C0 A lsquoA

193 C1 A rsquoA

194 C2 A Â

195 C3 A ~A

196 C4 A A

197 C5 A AA

198 C6 AElig AE

199 C7 C cC

200 C8 E lsquoE

201 C9 E rsquoE

202 CA E Ê

203 CB E E

204 CC I lsquoI

205 CD I rsquoI

206 CE I Î

207 CF I I

208 D0 ETH DH (T1)


209 D1 N ~N

210 D2 O lsquoO

211 D3 O rsquoO

212 D4 O Ô

213 D5 O ~O

214 D6 O O

215 D7 times texttimes (tc)216 D8 Oslash O

217 D9 U lsquoU

218 DA U rsquoU

219 DB U Û

220 DC U U

221 DD Y rsquoY

222 DE THORN TH (T1)223 DF szlig ss

224 E0 a lsquoa

225 E1 a rsquoa

226 E2 a â

227 E3 a ~a

228 E4 a a

229 E5 a aa

230 E6 aelig ae

231 E7 c cc

232 E8 e lsquoe

233 E9 e rsquoe

234 EA e ê

235 EB e e

236 EC ı lsquoı

237 ED ı rsquoı

238 EE ı ^ı

239 EF ı ı

240 F0 eth dh (T1)241 F1 n ~n

242 F2 o lsquoo

243 F3 o rsquoo

244 F4 o ô

245 F5 o ~o

246 F6 o o

247 F7 divide textdiv (tc)248 F8 oslash o

249 F9 u lsquou

250 FA u rsquou

251 FB u û

252 FC u u

253 FD y rsquoy

254 FE thorn th (T1)255 FF y y

243

bull Character 173 - is shown as ldquo-rdquo but is actually a discretionary hyphen it appears only at the endof a line

Microsoftreg Windowsreg normally uses a superset of Latin 1 called ldquoCode 252rdquo or ldquoCP1252rdquo forshort CP1252 introduces symbols in the Latin 1 ldquoinvalidrdquo range (characters 128ndash159) Table 531 presentsthe characters with which CP1252 augments the standard Latin 1 table

Table 531 LATEX 2120576 Code Page 1252 Table


128 80 euro texteuro (tc)130 82 sbquo quotesinglbase (T1)131 83 f textitf

132 84 bdquo quotedblbase (T1)133 85 dots

134 86 dagger dag

135 87 Dagger ddag

136 88 ^ textasciicircum

137 89 permil textperthousand (tc)138 8A S vS

139 8B lsaquo guilsinglleft (T1)140 8C Œ OE

142 8E Z vZ


145 91 lsquo lsquo

146 92 rsquo rsquo

147 93 ldquo lsquolsquo

148 94 rdquo rsquorsquo

149 95 bull textbullet

150 96 ndash --

151 97 mdash ---

152 98 ˜ textasciitilde

153 99 trade texttrademark

154 9A s vs

155 9B rsaquo guilsinglright (T1)156 9C œ oe

158 9E z vz

159 9F Y Y


bull As in Table 530 a ldquo(tc)rdquo after a symbol name means that the textcomp package must be loaded toaccess that symbol A ldquo(T1)rdquo means that the symbol requires the T1 font encoding The fontencpackage can change the font encoding document-wide

bull Not all characters in the 128ndash159 range are defined

bull Look up ldquoeuro signsrdquo in the index for alternatives to texteuro

While too large to incorporate into this document a listing of ISO 88791986 SGMLXML characterentities and their LATEX equivalents is available from httpwwwbitjunglecomisoent Some of thecharacters presented there make use of isoent a LATEX 2120576 package (available from the same URL) that fakessome of the missing ISO glyphs using the LATEX picture environment13

107 Unicode characters

Unicode is a ldquouniversal character setrdquomdasha standard for encoding (ie assigning unique numbers to) thesymbols appearing in many of the worldrsquos languages While ASCII can represent 128 symbols and Latin 1can represent 256 symbols Unicode can represent an astonishing 1114112 symbols

Because TEX and LATEX predate the Unicode standard and Unicode fonts by almost a decade supportfor Unicode has had to be added to the base TEX and LATEX systems Note first that LATEX distinguishesbetween input encodingmdashthe characters used in the tex filemdashand output encodingmdashthe characters thatappear in the generated dvi pdf etc file

13isoent is not featured in this document because it is not available from CTAN and because the faked symbols are not ldquotruerdquocharacters they exist in only one size regardless of the body textrsquos font size

244

Inputting Unicode characters

To include Unicode characters in a tex file load the ucs package and load the inputenc package withthe utf8x (ldquoUTF-8 extendedrdquo) option14 These packages enable LATEX to translate UTF-8 sequences toLATEX commands which are subsequently processed as normal For example the UTF-8 text ldquoCopyright copy2017rdquomdashldquocopyrdquo is not an ASCII character and therefore cannot be input directly without packages such asucsinputencmdashis converted internally by inputenc to ldquoCopyright textcopyright 2017rdquo and thereforetypeset as ldquoCopyright copy 2017rdquo

The ucsinputenc combination supports only a tiny subset of Unicodersquos million-plus sym-bols Additional symbols can be added manually using the DeclareUnicodeCharacter commandDeclareUnicodeCharacter takes two arguments a Unicode number and a LATEX command to executewhen the corresponding Unicode character is encountered in the input For example the Unicode characterldquodegree celsiusrdquo (ldquo rdquo) appears at character position U+210315 However ldquo rdquo is not one of the charactersthat ucs and inputenc recognize The following document shows how to use DeclareUnicodeCharacter totell LATEX that the ldquo rdquo character should be treated as a synonym for textcelsius

documentclassarticle

usepackageucs

usepackage[utf8x]inputenc

usepackagetextcomp

DeclareUnicodeCharacter2103textcelsius Enable direct input of U+2103

begindocument

It was a balmy 21enddocument

which produces

It was a balmy 21

See the ucs documentation for more information and for descriptions of the various options that controlucsrsquos behavior

Outputting Unicode characters

Orthogonal to the ability to include Unicode characters in a LATEX input file is the ability to include a givenUnicode character in the corresponding output file By far the easiest approach is to use X ELATEX insteadof pdfLATEX or ordinary LATEX X ELATEX handles Unicode input and output natively and can utilize systemfonts directly without having to expose them via tfm fd and other such files To output a Unicodecharacter a X ELATEX document can either include that character directly as UTF-8 text or use TEXrsquos charprimitive which X ELATEX extends to accept numbers larger than 255

Suppose we want to output the symbols for versicle (ldquo rdquo) and response (ldquo rdquo) in a document TheUnicode charts list ldquoversiclerdquo at position U+2123 and ldquoresponserdquo at position U+211F We therefore need toinstall a font that contains those characters at their proper positions One such font that is freely availablefrom CTAN is Junicode (Junicodettf) from the junicode package The fontspec package makes it easy fora X ELATEX document to utilize a system font The following example defines a textjuni command thatuses fontspec to typeset its argument in Junicode


usepackagefontspec

newcommandtextjuni[1]fontspecJunicode1

14UTF-8 is the 8-bit Unicode Transformation Format a popular mechanism for representing Unicode symbol numbers assequences of one to four bytes

15The Unicode convention is to express character positions as ldquoU+⟨hexadecimal number⟩rdquo

245

begindocument

We use lsquolsquotextjunichar2123rsquorsquo for a versicle

and lsquolsquotextjunichar211Frsquorsquo for a response

enddocument

which produces

We use ldquo rdquo for a versicle and ldquo rdquo for a response

(Typesetting the entire document in Junicode would be even easier See the fontspec documentation for moreinformation regarding font selection) Note how the preceding example uses char to specify a Unicodecharacter by number The double quotes before the number indicate that the number is represented inhexadecimal instead of decimal

108 About this document

History David Carlisle wrote the first version of this document in October 1994 It originally containedall of the native LATEX symbols (Table 50 Table 72 Table 88 Table 138 Table 181 Table 184 Table 218Table 219 Table 232 Table 240 Table 294 and a few tables that have since been reorganized) and wasdesigned to be nearly identical to the tables in Chapter 3 of Leslie Lamportrsquos book [Lam86] Even thetable captions and the order of the symbols within each table matched The 119964ℳ119982 symbols (Table 51Table 89 Table 90 Table 141 Table 142 Table 185 Table 194 Table 212 and Table 295) and an initialMath Alphabets table (Table 307) were added thereafter Later Alexander Holt provided the stmaryrd tables(Table 52 Table 74 Table 91 Table 144 Table 177 and Table 213)

In January 2001 Scott Pakin took responsibility for maintaining the symbol list and has since imple-mented a complete overhaul of the document The result now called ldquoThe Comprehensive LATEX SymbolListrdquo includes the following new features

bull the addition of a handful of new math alphabets dozens of new font tables and thousands of newsymbols

bull the categorization of the symbol tables into body-text symbols mathematical symbols science andtechnology symbols dingbats ancient languages and other symbols to provide a more user-friendlydocument structure

bull an index table of contents hyperlinks and a frequently-requested symbol list to help users quicklylocate symbols

bull symbol tables rewritten to list the symbols in alphabetical order

bull appendices providing additional information relevant to using symbols in LATEX

bull tables showing how to typeset all of the characters in the ASCII and Latin 1 font encodings

Furthermore the internal structure of the document has been completely altered from David Carlislersquosoriginal version Most of the changes are geared towards making the document easier to extend modify andreformat

Build characteristics Table 532 on the following page lists some of this documentrsquos build character-istics Most important is the list of packages that LATEX couldnrsquot find but that symbolstex oth-erwise would have been able to take advantage of Complete prebuilt versions of this documentare available from CTAN (httpwwwctanorg or one of its many mirror sites) in the directorytex-archiveinfosymbolscomprehensive Table 533 shows the package date (specified in the sty filewith ProvidesPackage) for each package that was used to build this document and that specifies a packagedate Packages are not listed in any particular order in either Table 532 or Table 533

246

Table 532 Document Characteristics

Characteristic Value

Source file symbolstex

Build date January 19 2017Symbols documented 14283Packages included textcomp latexsym amssymb stmaryrd euscript wasysym

pifont manfnt bbding undertilde ifsym tipa tipx extraipawsuipa phonetic ulsy ar metre txfonts mathabx fclfontskak ascii dingbat skull eurosym esvect yfonts yhmathesint mathdots trsym universa upgreek overrightarrowchemarr chemarrow nath trfsigns mathtools phaistos arcsvietnam t4phonet holtpolt semtrans dictsym extarrowsprotosem harmony hieroglf cclicenses mathdesign arevMnSymbol fdsymbol boisik cmll extpfeil keystroke fgeturnstile simpsons epsdice feyn staves igo colonequalsshuffle fourier dozenal pmboxdraw pigpen clock teubnerlinearA linearb cypriot sarabian china2e harpoonsteinmetz milstd recycle DotArrow ushort hhcountogonek combelow musixtex ccicons adfsymbols adfornbigints soyombo tfrupee knitting textgreek begrifffrege abraces CountriesOfEurope cookingsymbols prodintepiolmec mdwmath rsfso fontawesome stix handsgreenpoint nkarta astrosym webomints moonphasedancers semaphor umranda umrandb cryst starfonttikzsymbols dice apl go magic bartel-chess-fontsactuarialangle lilyglyphs knot bclogo bullcntr rubikcubesvrsymbols halloweenmath old-arrows allrunes emfesrelation accents nicefrac bm junicode mathrsfschancery urwchancal calligra bbold mbboard dsfont bbm

Packages omitted none

Table 533 Package versions used in the preparation of this document

Name Date Name Date Name Date

textcomp 20160619 latexsym 19980817 amssymb 20130114stmaryrd 19940303 euscript 20090622 wasysym 20031030pifont 20050412 manfnt 19990701 bbding 19990415undertilde 20000808 ifsym 20000418 tipa 20020808tipx 20030101 wsuipa 19940716 ar 20120123metre 20011205 txfonts 20080122 mathabx 20030729skak 20130718 ascii 20060530 dingbat 20010427skull 20020123 eurosym 19980806 yfonts 20030108mathdots 20140611 trsym 20000625 universa 980801upgreek 20030212 chemarr 20160516 mathtools 20151112phaistos 20040423 arcs 20040509 t4phonet 20040601semtrans 19980210 dictsym 20040726 extarrows 20080515protosem 20050318 harmony 20070504 hieroglf 20150602cclicenses 20050520 MnSymbol 20070121 fdsymbol 20111101boisik 20090821 extpfeil 20091031 keystroke 20100423


247



fge 20150519 turnstile 20070623 epsdice 20070215feyn 20091008 colonequals 20160516 shuffle 20081027dozenal 20150129 pmboxdraw 20160516 pigpen 20081207clock 20010410 teubner 20160331 linearA 20060313linearb 20050622 cypriot 20090522 sarabian 20051112china2e 19970601 harpoon 19941102 steinmetz 20090614milstd 20090625 DotArrow 20070212 ushort 20010613hhcount 19950331 ogonek 950717 combelow 20100502musixtex 20010708 ccicons 20130416 adforn 20100725bigints 20100215 soyombo 19960901 tfrupee 20101215knitting 20100829 textgreek 20111009 frege 20120804abraces 20120824 CountriesOfEurope 20120418 cookingsymbols 20141228epiolmec 20031105 mdwmath 19960411 fontawesome 20160515stix 20150417 starfont 20100929 tikzsymbols 20161226bclogo 20160110 bullcntr 20070402 rubikcube 20150925svrsymbols 20160408 halloweenmath 20170106 emf 20160909accents 20060512 nicefrac 19980804 bm 20160707calligra 20120410

109 Copyright and license

The Comprehensive LATEX Symbol ListCopyright copy 2017 Scott Pakin

This work may be distributed andor modified under the conditions of the LATEX Project Public Licenseeither version 13c of this license or (at your option) any later version The latest version of this license is in

httpwwwlatex-projectorglppltxt

and version 13c or later is part of all distributions of LATEX version 20060520 or later

This work has the LPPL maintenance status ldquomaintainedrdquo

The current maintainer of this work is Scott Pakin

248

References

[AMS99] American Mathematical Society Userrsquos Guide for the amsmath Package (Version 20) Decem-ber 13 1999 Available from ftpftpamsorgpubtexdocamsmathamsldocpdf

[Ber01] Karl Berry Fontname Filenames for TEX fonts June 2001 Available from httpwwwctanorgtex-archiveinfofontname

[Che97] Raymond Chen A METAFONT of lsquoSimpsonsrsquo characters Baskerville 4(4)19 September1997 ISSN 1354-5930 Available from httptugctanorgusergrpsuktugbaskervi4 4

bask4 4ps

[Dow00] Michael Downes Short math guide for LATEX July 19 2000 Version 107 Available from http

wwwamsorgtexshort-math-guidehtml

[Gib97] Jeremy Gibbons Heymdashit works TUGboat 18(2)75ndash78 June 1997 Available from http

wwwtugorgTUGboatArticlestb18-2tb55workspdf

[Gre09] Enrico Gregorio Appunti di programmazione in LATEX e TEX second edition June 2009 Availablefrom httpprofssciunivrit~gregoriointrotexpdf

[Knu86a] Donald E Knuth The TEXbook volume A of Computers and Typesetting Addison-Wesley Read-ing MA USA 1986

[Knu86b] Donald E Knuth The METAFONTbook volume C of Computers and Typesetting Addison-WesleyReading MA USA 1986

[Lam86] Leslie Lamport LATEX A document preparation system Addison-Wesley Reading MA USA1986

[LAT98] LATEX3 Project Team A new math accent LATEX News Issue 9 June 1998 Available fromhttpwwwctanorgtex-archivemacroslatexdocltnews09pdf (also included in manyTEX distributions)

[LAT00] LATEX3 Project Team LATEX 2120576 font selection January 30 2000 Available from http

wwwctanorgtex-archivemacroslatexdocfntguidepdf (also included in many TEX dis-tributions)

249

Index

If yoursquore having trouble locating a symbol try looking under ldquoTrdquo for ldquotext rdquo Many text-mode commands beginwith that prefix Also accents are shown overunder a gray box (eg ldquo a rdquo for ldquorsquordquo)

Some symbol entries appear to be listed repeatedly This happens when multiple packages define identical (ornearly identical) glyphs with the same symbol name16

Symbols (a) 21 () 14 241$ ($) 14 15 241$ ($) 15 () 14 241amp (amp) 14 37 241rsquo (a) 21( (() 103

( (() 105

( (

(

) 108

) ()) 103

) ()) 105

) (

)

) 108

() 33 240- (-) 243 244 (a) 21 () 103

() 105

(

) 108

( ) 121

() 121

lt (⟨) 105

lt (

⟨

) 108

() 121

[ ([) 103

[ (⎡⎢⎢⎢⎢⎣) 105

[ (

[

) 107

231] (]) 103

] (⎤⎥⎥⎥⎥⎦) 105

] (

]

) 107

^ (a) 21

^ (^) 14 242| () 103| () 103 105| (iquesta) 21= (a) 21= (macr) 242| (∣) 107

| (

RRRRRR) 105

| (

|

|

|

|

|

|

) 108| (|) 52 103 105 109( (() 107) ()) 107 () 107[ ([) 107_ 15_ ( ) 14 242 () 14 15 103 () 242 () 14 15 103 () 242] (]) 107lsquo (a) 21~ (a) 21~ (˜) 14 242

AA (A) 162A (ą) 162a (esvect package option) 115a (aacute) 162a (times

) 188a (a) 162

AA (A) 15aa (a) 15AAaleph (A) 153AAayin (O) 153AAbeth (B) 153

AAcht ( ˇ ldquo ˇ ldquo==

) 165AAdaleth (D) 153AAhe (E) 153AAhelmet (V) 153AAheth (h) 153AAkaph (K) 153AAlamed (L) 153Aaleph (a) 153AApe (P) 153AAqoph (Q) 153AAresh (R) 153

AAsade (X) 153Aayin (o) 153AAyod (Y) 153AB (|) 134Abeth (b) 153abraces (package) 115 247 248absolute value see lvert and

rvert

abzuglich see textdiscount

AC () 130ac (eth) 60acarc 23acbar 23accents 21ndash25 110ndash116 119

165 234ndash236acute (a) 21ndash25 110any character as 234arc (a) 21ndash24 113ndash115breve (a) 21ndash25 110caron (a) 21 25 110 114cedilla (cedil) 21circumflex (a) 21ndash23 110112ndash114

comma-below (a ) 25Cyrillic breve (a) 21Cyrillic flex (a) 21Cyrillic umlaut (a) 21diaeligresis (a) 21 24 25 110129

dot (a or ) 21ndash23 110double acute (a) 21 25double grave (a) 21extensible 112ndash116 119235ndash236

grave (a) 21ndash25 110hacek see accents caron

hook (ả) 21Hungarian umlaut seeaccents double acute

inverted breve (a) 21krouzek see accents ringmacron (a) 21 24 25 110112 114

multiple per character 21ndash23 234

ogonek ( ˛) 21ndash24ring (a) 21ndash23 25 110 112Romanian comma-belo ac-cent see accentscomma-below

16This occurs frequently between amssymb and mathabx for example

250

trema see accents diaeligresisumlaut see accentsdiaeligresis

accents (package) 110 234 247248

accentset 234accidentals see musical symbolsaccordion notation 168

accordionBayanBass ( ) 168

accordionDiscant ( ) 168accordionFreeBass ( ) 168accordionOldEE ( ) 168

accordionPull ( ) 168

accordionPush ( ) 168

accordionStdBass ( ) 168accurrent () 126

Acht ( ˇ ldquo( ) 165

AchtBL ( ˇ ldquo==

) 165

AchtBR ( ˇ ldquo==) 165

acidfree () 122ACK () 135acontraction 236

AcPa ( ) 165actuarial ( ) 235actuarial symbols 116 235actuarialangle (package) 116

235 247actuarialangle 235actuarialangle ( ) 116acute ( ) 111acute (acute) 110acute (a) see accentsacutus (a) 24acwcirclearrow (⥀) 87acwcirclearrowdown (⟲) 81acwcirclearrowleft () 81acwcirclearrowright (plusmn) 81acwcirclearrowup (reg) 81acwgapcirclearrow (⟲) 82acwgapcirclearrow (⟲) 87acwleftarcarrow (⤹) 81acwleftarcarrow (⤹) 87acwnearcarrow (iexcl) 81acwnwarcarrow (cent) 81acwopencirclearrow () 82acwopencirclearrow () 89

148acwoverarcarrow (⤺) 81acwoverarcarrow (⤺) 87acwrightarcarrow () 81acwsearcarrow (⤴) 81acwswarcarrow (⤷) 81acwunderarcarrow (⤻) 81acwunderarcarrow (⤻) 87Adaleth (d) 153adeles (A) see alphabets math

adfarrow 140adfarrowe1 (C) 140adfarrowe2 (K) 140adfarrowe3 (S) 140adfarrowe4 (c) 140adfarrowe5 (k) 140adfarrowe6 (s) 140adfarrown1 (I) 140adfarrown2 (Q) 140adfarrown3 (Y) 140adfarrown4 (i) 140adfarrown5 (q) 140adfarrown6 (y) 140adfarrowne1 (J) 140adfarrowne2 (R) 140adfarrowne3 (Z) 140adfarrowne4 (j) 140adfarrowne5 (r) 140adfarrowne6 (z) 140adfarrownw1 (H) 140adfarrownw2 (P) 140adfarrownw3 (X) 140adfarrownw4 (h) 140adfarrownw5 (p) 140adfarrownw6 (x) 140adfarrows1 (E) 140adfarrows2 (M) 140adfarrows3 (U) 140adfarrows4 (e) 140adfarrows5 (m) 140adfarrows6 (u) 140adfarrowse1 (D) 140adfarrowse2 (L) 140adfarrowse3 (T) 140adfarrowse4 (d) 140adfarrowse5 (l) 140adfarrowse6 (t) 140adfarrowsw1 (F) 140adfarrowsw2 (N) 140adfarrowsw3 (V) 140adfarrowsw4 (f) 140adfarrowsw5 (n) 140adfarrowsw6 (v) 140adfarroww1 (G) 140adfarroww2 (O) 140adfarroww3 (W) 140adfarroww4 (g) 140adfarroww5 (o) 140adfarroww6 (w) 140adfast1 (0) 145adfast2 (1) 145adfast3 (2) 145adfast4 (3) 145adfast5 (4) 145adfast6 (5) 145adfast7 (6) 145adfast8 (7) 145adfast9 (8) 145adfast10 (9) 145

adfbullet (bull) 152

adfbullet1 (A) 145

adfbullet2 (B) 145

adfbullet3 (C) 145

adfbullet4 (D) 143

adfbullet5 (E) 143

adfbullet6 (F) 143

adfbullet7 (G) 143

adfbullet8 (H) 143

adfbullet9 (I) 143

adfbullet10 (J) 143

adfbullet11 (K) 145

adfbullet12 (L) 145

adfbullet13 (M) 145

adfbullet14 (N) 145

adfbullet15 (O) 145

adfbullet16 (P) 145

adfbullet17 (Q) 145

adfbullet18 (R) 145

adfbullet19 (S) 145

adfbullet20 (T) 145

adfbullet21 (U) 145

adfbullet22 (V) 145

adfbullet23 (W) 145

adfbullet24 (X) 145

adfbullet25 (Y) 145

adfbullet26 (Z) 145

adfbullet27 (a) 150

adfbullet28 (b) 150

adfbullet29 (c) 150

adfbullet30 (d) 150

adfbullet31 (e) 150

adfbullet32 (f) 150

adfbullet33 (g) 150

adfbullet34 (h) 150

adfbullet41 (o) 150

adfbullet42 (p) 150

adfbullet43 (q) 150

adfbullet44 (r) 150

adfbullet45 (s) 150

adfbullet46 (t) 150

adfbullet47 (u) 150

adfbullet48 (v) 150

adfbullet49 (w) 150

adfbullet50 (x) 150

adfbullet51 (y) 150

adfbullet52 (z) 150

adfclosedflourishleft (C) 152

adfclosedflourishright (c) 152

adfdiamond (=) 152

adfdoubleflourishleft (D) 152

adfdoubleflourishright (d) 152

adfdoublesharpflourishleft

(I) 152

251

adfdoublesharpflourishright

(i) 152

adfdownhalfleafleft (r) 146

adfdownhalfleafright (R) 146

adfdownleafleft (x) 146

adfdownleafright (X) 146

adfflatdownhalfleafleft (l) 146

adfflatdownhalfleafright

(L) 146

adfflatdownoutlineleafleft

(m) 146

adfflatdownoutlineleafright

(M) 146

adfflatleafleft (u) 146

adfflatleafoutlineleft (n) 146

adfflatleafoutlineright

(N) 146

adfflatleafright (U) 146

adfflatleafsolidleft (v) 146

adfflatleafsolidright (V) 146

adfflourishleft (E) 152

adfflourishleftdouble (F) 152

adfflourishright (e) 152

adfflourishrightdouble

(f) 152

adfflowerleft (q) 146

adfflowerright (Q) 146

adfgee (para) 152

adfhalfarrowleft (B) 140

adfhalfarrowleftsolid (b) 140

adfhalfarrowright (A) 140

adfhalfarrowrightsolid (a) 140

adfhalfleafleft (lt) 146

adfhalfleafright (gt) 146

adfhalfleftarrow () 140

adfhalfleftarrowhead (() 140

adfhalfrightarrow () 140

adfhalfrightarrowhead ()) 140

adfhangingflatleafleft (s) 146

adfhangingflatleafright (S) 146

adfhangingleafleft (T) 146

adfhangingleafright (t) 146

adfleafleft (w) 146

adfleafright (W) 146

adfleftarrowhead ([) 140

adfopenflourishleft (B) 152

adfopenflourishright (b) 152

adforn (package) 140 145 146152 247 248

adfoutlineleafleft (o) 146adfoutlineleafright (O) 146adfrightarrowhead (]) 140adfS (sect) 152adfsharpflourishleft (H)

152adfsharpflourishright (h)

152adfsickleflourishleft (J)

152adfsickleflourishright (j)

152adfsingleflourishleft (G)

152adfsingleflourishright (g)

152adfsmallhangingleafleft (z)

146adfsmallhangingleafright

(Z) 146adfsmallleafleft (y) 146adfsmallleafright (Y) 146adfsolidleafleft (p) 146adfsolidleafright (P) 146adfsquare (|) 152adfsymbols (package) 140 143

145 150 247adftripleflourishleft (K)

152adftripleflourishright

(k) 152adfwavesleft (A) 152adfwavesright (a) 152adjoint (dagger) see dag

Admetos (Ouml) 133Adobe Acrobat 239

adots ( ) 121 234

adots (⋰) 120adots (⋰) 120adsorbate (Ntilde) 137adsorbent (ETH) 137advancing see textadvancing

AE (AElig) 15ae (aelig) 15aeolicbii (Ι) 189aeolicbiii (Θ) 189aeolicbiv (Κ) 189agemO (0) 124Agimel (g) 153Ahe (e) 153Ahelmet (v) 153Aheth (H) 153ain (s) 25Air (Ograve) 133Akaph (k) 153

Alad () 110

alad () 110Alamed (l) 153

Alas () 110alas () 110Albania () 194aldine (o) 146aldineleft (m) 146aldineright (n) 146aldinesmall (j) 146aleph (alefsym) 99 124aleph (alefsym) 99aleph (alefsym) 99aleph (alefsym) 100Alif (˒) 20

allabreve (R) 164allrunes (package) 162 247Alpha (A) 97alpha (120572) 97alphabets 128

African 16Cypriot 158Cyrillic 229Greek 16 97 98 129 159Hebrew 99 100 129hieroglyphic 154Linear A 154Linear B 157math 128phonetic 17ndash20proto-Semitic 153South Arabian 159Vietnamese 16

alphaup (α) 98alpine symbols 183Alt ( Alt ) 134

alternative denial see uparrow

and |

AltGr ( AltGr ) 134

altoclef (K) 164AM () 134amalg (⨿) 31amalg (⨿) 34amalg (∐) 33amalg (⨿) 36Amem (m) 153Amor (+) 133ampersand see amp

119964ℳ119982 (package) 12 15 3142 52 53 65 67 72 7576 92 96 97 99 100 102104 110 113 116 119 123124 129 226 227 246

amsbsy (package) 241amsfonts (package) 124 128amsmath (package) 12 96 110

230 240

252

amssymb (package) 12 110 124128 159 247

amstext (package) 232 233Anaclasis (divide) 188anaclasis (divide) 188anceps (Ξ) 189ancepsdbrevis (Ζ) 189anchor () 196

anchor (O) 152ancient-language symbols 153ndash

162and see wedge

AND gates 135

ANDd () 135

ANDl () 135Andorra () 194

ANDr () 135

ANDu () 135angdnr (⦟) 123angl ( ) 116angle (ang) 123angle ( ) 124angle (Otilde) 123angle (ang) 123angle (ang) 123angle (ang) 123angle notation 131angles 122ndash124 126 127 133angles (⦞) 123AngleSign (W) 122angleubar (⦤) 123angln (119899 ) 116Anglo-Frisian runes 162anglr (119903 ) 116

Angstrom (Å) 101

Angstrom unitmath mode see mathring

text mode see AA

Angud (⟩) 110angud (⟩) 110angular minutes see prime

angular seconds see second

Angus (⟨) 110angus (⟨) 110animals 153 154 158Ankh () 182Annoey ( ) 196annuity ( ) 111annuity symbols 116 235Antidiple (lt) 188antidiple (lt) 188

Antidiple (ltmiddotmiddot ) 188antidiple (ltmiddotmiddot ) 188antilabe ( ) 121antimuon (119908) 137antineutrino (119872) 137antineutron (119910) 137antiproton (119899) 137antiquark (119864) 137antiquarkb (119865) 137antiquarkc (119866) 137antiquarkd (119867) 137antiquarks (119868) 137antiquarkt (119869) 137antiquarku (119870) 137Antisigma (sup) 188antisigma (sup) 188Anun (n) 153anyon (Ograve) 137

aoverbrace (⏞ ⏟

) 115Ape (p) 153APL

symbols 61ndash62apl (package) 134 247APL symbols 133 134APLbox (~) 133APLboxquestion () 134APLboxupcaret () 134APLcirc (∘) 133APLcomment () 133APLdown (F) 133APLdownarrowbox (o) 133APLinput () 133APLinv (divide~) 133APLleftarrowbox (p) 133APLlog () 133

APLminus (minus) 133APLnot (sim) 133APLnotbackslash () 134APLnotslash () 134APLrightarrowbox (q) 133APLstar (E) 133APLup () 133APLuparrowbox (n) 133APLvert ( | ) 133Apollon (szlig) 133apostropha see musixgreapprge () 68apprle (gt) 68approx (asymp) 52approx (asymp) 57approx (asymp) 55approx (asymp) 61approxcolon (asymp) 64approxcoloncolon (asymp) 64approxeq (u) 52approxeq (Yacute) 60approxeq (≊) 57approxeq (≊) 55

approxeq (≊) 61approxeqq (⩰) 61approxident (≋) 58approxident (≋) 61Aqoph (q) 153Aquarius (ecirc) 132Aquarius (N) 133aquarius (e) 131AR (A) 130ar (package) 130 247arafamily 162arc (a) see accentsarccos (arccos) 96arceq () 60arceq (≘) 58 95arceq (≘) 61arcfamily 162arcminutes see prime

arcs (package) 24 247arcseconds see second

arcsin (arcsin) 96arctan (arctan) 96Aresh (r) 153arev (package) 140ndash144 151

163 196 247arg (arg) 96Aries (P) 132Aries (agrave) 132Aries (x) 133Aries (agrave) 132aries () 131arlfamily 162armfamily 162arnfamily 162

ArrowBoldDownRight (y) 139

ArrowBoldRightCircled () 139

ArrowBoldRightShort (z) 139

ArrowBoldRightStrobe (w) 139

ArrowBoldUpRight (x) 139arrowbullet () 140Arrownot (Y) 95arrownot (X) 95

ArrowOver (P) 25arrowOver (p) 25arrows 75ndash77 81 86ndash92

112ndash118 133 134 139 140153 158 182 193 199ndash202204ndash206 222 229

diagonal for reducing subex-pressions 112

dotted 117double-headed diagonal 233extensible 112ndash118fletched 91 139negated 75 76 79 83

arrows (boisik package option) 87

253

Arrowvert (

) 104

Arrowvert (

XXXXXX) 105

Arrowvert (uArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArr

) 107

arrowvert (⎮⎮) 104

arrowvert (

RRRRRR) 105

arrowvert () 107

Arseneau Donald 231ndash235artfamily 162articulations see musical

symbolsAsade (x) 153Asamekh (s) 153ASC (1) 133ASCII 12 15 135 217 226

240ndash242 244ndash246table 241

ascii (package) 135 242 247ascnode () 131Ashin (S) 153aspect ratio 130Assert (⊩) 58assert (⊦) 58assert (⊦) 61assumption (119906) 137ast (˚) 33ast () 31ast () 35ast (lowast) 34ast (lowast) 33ast (lowast) 36asteq (⩮) 61asteraccent ( ) 111Asteriscus (timesmiddotmiddotmiddotmiddot ) 188asteriscus (timesmiddotmiddotmiddotmiddot ) 188Asterisk (˚) 33

Asterisk (N) 145asterisk (˚) 33

AsteriskBold (A) 145

AsteriskCenterOpen (B) 145

AsteriskRoundedEnds (X) 145asterisks 33 145

AsteriskThin (C) 145

AsteriskThinCenterOpen (D) 145

asterism ( ) 230asteroids 133astrological symbols 131ndash133

206ndash209astronomical symbols 131ndash133

191 206ndash209astrosun () 132astrosun (⊙) 131astrosym (package) 206 247asymmetric braces 115asymp (≍) 52

asymp (≍) 58 95asymp (≍) 94asymp (≍) 61atan (atan) 240ataribox (m) 181Atav (t) 153Ateth (T) 153AtForty (Oslash) 182AtNinetyFive (Oacute) 182atom (119862) 137atomic math objects 96 240AtSixty (Otilde) 182aunderbrace (⏟ ⏞ ) 115

Austria () 194

autoleftarrow (DGGGGG) 117

autoleftrightharpoons

(EGGGGGGGGGGC) 117

autorightarrow (GGGGGA) 117

autorightleftharpoons

(GGGGGBFGGGGG) 117

Autumntree ( ) 197Avav (w) 153average 30

awint (⨑) 48awint (⨑) 48awintsl (⨑) 50awintup (⨑) 50Ayn (˓) 20Ayod (y) 153Azayin (z) 153

BB (B) 162B 16B (˘) 188b (esvect package option) 115b (a

macr) 21

b (˘) 188b (b) 162

Ba (a) 157babel (package) 16 97 98 159babygamma () 19backapprox () 55backapproxeq () 55Backblech ( ) 196backcong (≌) 57backcong (≌) 55backcong (≌) 61backdprime () 122backepsilon () 52backepsilon (~) 125backepsilon (϶) 99backeqsim () 55backneg () 125

backneg () 125backprime (8) 124backprime (Agrave) 125backprime () 125backprime () 125backprime () 122backpropto () 57backsim (v) 52backsim (Ntilde) 60backsim (∽) 57backsim (∽) 55backsim (∽) 61backsimeq (w) 52backsimeq (Oacute) 60backsimeq (⋍) 57backsimeq (⋍) 55backsimeq (⋍) 61backsimneqq (Oacute) 59backslash (∖) 103 124

backslash () 106

backslash () 105

backslash (∖) 126

backslash (

) 107

backslashdiv () 33backtriplesim () 55backtrprime () 122backturn (C) 164bagmember (`) 60bagmember (⋿) 61

Baii () 157

Baiii (lt) 157bakingplate ( ) 196ballotcheck () 144ballotx () 144banana brackets

see llparenthesis andrrparenthesis

banceps (Ψ) 189bar ( ) 111bar (macr) 110bar () 162barb () 19barbbrevis (θ) 189barbrevis (ι) 189barcap (⩃) 36barcirc (minus∘ ) 231barcup (⩂) 36bard () 19bardownharpoonleft (⥡) 90bardownharpoonright (⥝) 90bari () 19barin (V) 100barj (j) 20barl () 19

254

barlambda () 20barleftarrow () 86barleftarrow () 87barleftarrowrightarrowbar

() 86barleftarrowrightarrowbar

() 87barleftharpoon (THORN) 77barleftharpoondown (⥖) 90barleftharpoonup (⥒) 90baro () 32baro ( vs lt) 227baro (ccedil) 35baro (lt) 19

BarOver (G) 25barOver (g) 25barovernorthwestarrow (13)

86barovernorthwestarrow ()

148barp (A) 19barred letters 230barrightarrowdiamond (⤠) 87barrightharpoon (szlig) 77barrightharpoondown (⥟) 90barrightharpoonup (⥛) 90barsci (+) 19barscu (X) 19

Bart (

) 189bartel-chess-fonts (package) 224

225 247baru (T) 19baruparrow (⤒) 87barupharpoonleft (⥘) 90barupharpoonright (⥔) 90Barv (⫧) 58Barv (⫧) 61barV (⫪) 58barV (⫪) 61barvee (⊽) 36barwedge (X) 33barwedge (Z) 31barwedge (Ntilde) 35barwedge (⊼) 34barwedge (⊼) 36base twelve

numerals 122tally markers 185

BasicTree 197

bassclef (I) 164Bat (yacute) 182

Bau (=) 157baucircle (Δ) 150

bauforms (Ξ) 182

bauhead (Λ) 182

bausquare (Γ) 150

bautriangle (Θ) 150

BB (˘ ) 188

Bb (˘ ) 188

bB (˘ ) 188

bb (˘ ) 188

bba ( times) 188

bbalpha () 129

bbar () 230

bbb (˘) 188

bbbeta () 129

Bbbk (k) 100

Bbbk (k) 101

Bbbk (k) 101

Bbbsum (⅀

) 48

bbding (package) 139 141ndash143145 150 152 227 247

bbdollar ($) 129

bbetter (g) 186

bbeuro (ucirc) 129

bbfinalnun (Iuml) 129

bbgamma (13) 129

bbgreekl (mathbbol package op-tion) 129

BBm (macr

) 188

Bbm (macr

) 188

bBm (macr

) 188

bbm (package) 128 247

bbm (macr

) 188

bbmb ( ˘) 188

bbmx (macr ˘

) 188

bbnabla () 129

bbold (package) 128 247

bbpe (Ocirc) 129

bbqof (times) 129

bbrevis (ς) 189

bbrktbrk () 126

bbslash (13) 32

bbslash (=) 35

bbyod (Eacute) 129

bcattention ( ) 197

bcbombe ( ) 197

bcbook ( ) 197

bccalendrier (1JAN ) 198

bccle ( ) 198

bcclefa ( ) 198

bcclesol ( ) 198

bccoeur ( ) 198

bccrayon ( ) 198

bccube ( ) 198

bcdallemagne ( ) 198

bcdanger ( ) 198

bcdautriche ( ) 198

bcdbelgique ( ) 198

bcdbulgarie ( ) 198

bcdfrance ( ) 198

bcditalie ( ) 198

bcdluxembourg ( ) 198

bcdodecaedre ( ) 198

bcdpaysbas ( ) 198

bcdz ( ) 198

bceclaircie ( ) 198

bcetoile ( ) 197

bcfemme ( ) 197

bcfeujaune ( ) 197

bcfeurouge ( ) 198

bcfeutricolore ( ) 198

bcfeuvert ( ) 198

bcfleur ( ) 198

bchomme ( ) 198

bchorloge ( ) 198

bcicosaedre ( ) 198

bcinfo ( ) 198

bcinterdit ( ) 198

bclampe ( ) 198

255

bclogo (package) 197 198 247248

bcloupe ( ) 198

bcneige ( ) 198

bcnote ( ) 198

bcnucleaire ( ) 198

bcoctaedre ( ) 198

bcoeil ( ) 198

bcontraction 236

bcorne ( ) 198

bcours ( ) 198

bcoutil ( ) 198

bcpanchant ( ) 197

bcpeaceandlove ( ) 197

bcpluie ( ) 197

bcplume ( ) 198

bcpoisson ( ) 198

bcquestion ( ) 198

bcrecyclage ( ) 198

bcrosevents ( ) 198

bcsmbh ( ) 198

bcsmmh ( ) 198

bcsoleil ( ) 198

bcspadesuit (spades) 198

bcstop (STOP

) 198

bctakecare ( ) 198

bctetraedre ( ) 198

bctrefle ( ) 198

bctrombone ( ) 198

bcvaletcoeur ( ) 198

bcvelo ( ) 198

bcyin ( ) 198

Bda (d) 157

Bde (D) 157bdecisive (i) 186

Bdi (f) 157bdleftarcarrow (yen) 81bdnearcarrow (laquo) 81bdnwarcarrow (uml) 81

Bdo (g) 157bdoverarcarrow (curren) 81bdrightarcarrow (sect) 81bdsearcarrow (ordf) 81bdswarcarrow (copy) 81

Bdu (x) 157bdunderarcarrow (brvbar) 81

Bdwe (gt) 157

Bdwo () 157

Be (e) 157Beam () 136Bearing () 136because (∵) 52 119because (para) 60because (∵) 120because (∵) 120because (∵) 120Bed ( ) 197begriff (package) 121 247Begriffsschrift symbols 121BEL () 135Belarus () 194Belgium () 194bell () 181benzenr () 148Berry Karl 249Beta (B) 97beta (120573) 97betaup (β) 98beth (i) 99beth (oslash) 100beth (ℶ) 99beth (ℶ) 99beth (ℶ) 100better see triangleleft

betteris (b) 186between ( ) 54between (G) 52between (middot) 60between (≬) 57between () 55between (≬) 61BGassert ( ) 121

BGconditional ( ) 121

BGcontent ( ) 121BGnot ( ) 121BGquant ( ) 121

Bi (i) 157bibridge (

rdquoardquo) 23

biconditional see leftrightarrow and

equiv

Bicycle (reg) 182Big 226 228big 226 228big O (119978) see alphabets mathBigassumption (Ecirc) 138

bigassumption (Egrave) 138bigast (˚) 33bigblacktriangledown ()

148bigblacktriangleup () 148

bigbosonloop (para) 137

bigbosonloopA (cup) 137

bigbosonloopV (sup) 137bigbot (⟘) 126bigbox (

e) 42

bigboxasterisk (Ouml

) 43bigboxbackslash (

THORN

) 43bigboxbot (

Ucirc

) 43bigboxcirc (

Otilde

) 43bigboxcoasterisk (

Œ

) 43bigboxdiv (

Oacute

) 43bigboxdot (

Ocirc

) 43bigboxleft (

Oslash

) 44bigboxminus (

Ntilde

) 44bigboxplus (

ETH

) 44bigboxright (

Ugrave

) 44bigboxslash (

Yacute

) 43bigboxtimes (

Ograve

) 43bigboxtop (

Uacute

) 43bigboxtriangleup (

szlig

) 43bigboxvoid (

Uuml

) 43bigcap (

⋂) 42

bigcap (⋂) 47bigcap (⋂) 46

bigcap (⋂

) 48bigcapdot () 47bigcapdot (⩀) 46bigcapplus () 47bigcapplus ($) 46bigcirc () 31bigcirc () 147bigcirc () 147bigcirc () 149

BigCircle () 149

BigCircle () 150bigcircle () 46bigcoast (ˇ) 33bigcomplementop (

Š

) 43

BigCross (13) 149bigcup (

⋃) 42

bigcup (⋃) 47

256

bigcup (⋃) 46

bigcup (⋃

) 48bigcupdot (⨃) 47bigcupdot (⊍) 46

bigcupdot (⨃

) 49bigcupplus (⨄) 47 48bigcupplus (⊎) 46 47bigcurlyvee (

Ĳ

) 43bigcurlyvee (

b) 42

bigcurlyvee () 47bigcurlyvee (⋎) 46bigcurlyveedot () 46bigcurlywedge (

Ż

) 43bigcurlywedge (

c) 42

bigcurlywedge () 47bigcurlywedge (⋏) 46bigcurlywedgedot () 46

BigDiamondshape (amp) 149bigdoublecurlyvee () 46bigdoublecurlywedge () 46bigdoublevee (⨈) 47 48bigdoublevee (⩔) 47bigdoublewedge (⨇) 47 48bigdoublewedge (⩕) 47Bigg 226 228bigg 226 228biggassumption (Eacute) 138

BigHBar () 149

bigint (

int) 46

biginterleave (g

) 42biginterleave (⫼) 126bigints (package) 46 247 248

bigints (

int) 46

bigintss (

int) 46

bigintsss (

int) 46

bigintssss (int

) 46

biginvamp (˙

) 52

BigLowerDiamond (_) 149bignplus (

) 42

bigoast (2) 47bigoast (⊛) 47bigoasterisk (

AElig

) 43bigobackslash (

Icirc

) 43bigobackslash (⦸) 47bigobot (

Euml

) 43bigocirc (

Aring

) 43bigocirc (⊚) 47bigocoasterisk (

Ccedil

) 44bigodiv (

Atilde

) 44bigodot (

⨀) 42

bigodot (⨀) 47bigodot (⊙) 47

bigodot (⨀

) 49

bigoint (

∮) 46

bigoints (

∮) 46

bigointss (

∮) 46

bigointsss (

∮) 46

bigointssss (∮

) 46

bigoleft (Egrave

) 44bigominus (

Aacute

) 44bigominus (⊖) 46bigoplus (

⨁) 42

bigoplus (⨁) 47bigoplus (oplus) 46

bigoplus (⨁

) 49bigoright (

Eacute

) 43bigoslash (

Iacute

) 43bigoslash (⊘) 46bigostar () 46bigotimes (

⨂) 42

bigotimes (⨂) 48bigotimes (otimes) 46

bigotimes (⨂

) 49bigotop (

Ecirc

) 43bigotriangle (F) 46bigotriangleup (

Iuml

) 43bigovert (⦶) 46bigovoid (

Igrave

) 43bigparallel (

f) 42

bigparr (˙

) 52bigplus (

Ř

) 43bigplus () 48bigplus (+) 46bigpumpkin ( ) 40

BigRightDiamond () 149bigslopedvee (⩗) 36bigslopedwedge (⩘) 36bigsqcap (

Ű

) 43bigsqcap (

) 42

bigsqcap (⨅) 48bigsqcap (⊓) 46

bigsqcap (⨅

) 49bigsqcapdot ($) 48bigsqcapdot () 46bigsqcapplus (

) 44

bigsqcapplus (() 48bigsqcapplus (0) 46bigsqcup (

⨆) 42

bigsqcup (⨆) 47bigsqcup (⊔) 46

bigsqcup (⨆

) 49bigsqcupdot (amp) 47bigsqcupdot () 46bigsqcupplus (

) 44

bigsqcupplus () 47bigsqcupplus (2) 47

BigSquare ( ) 149

bigsquplus (Ÿ

) 43

bigstar (lsaquo) 33

bigstar (F) 124

bigstar (atilde) 147

bigstar () 147

bigstar () 147

bigstar () 148

bigtalloblong (⫿

) 49

bigtimes (Ś

) 43

bigtimes (⨉) 47

bigtimes (⨉) 47

bigtimes (⨉

) 49

bigtop (⟙) 126

BigTriangleDown () 149

bigtriangledown (`

) 42

bigtriangledown ( vs`

) 227

bigtriangledown () 31

bigtriangledown (_) 74 147


bigtriangledown () 148 149

BigTriangleLeft () 149

bigtriangleleft (⨞) 148

BigTriangleRight ($) 149

BigTriangleUp () 149

bigtriangleup (a

) 42

bigtriangleup ( vsa

) 227

bigtriangleup () 12 31

bigtriangleup (^) 74 147

bigtriangleup () 73


biguplus (⨄

) 42

biguplus (⨄) 48

biguplus (⊎) 47

biguplus (⨄

) 49

bigvarstar (rsaquo) 33

BigVBar () 149

bigvee (⋁

) 42

bigvee (⋁) 47

bigvee (⋁) 47

bigvee (⋁

) 49

bigveedot () 47

bigveedot () 47

bigwedge (⋀

) 42

bigwedge (⋀) 47

bigwedge (⋀) 47

bigwedge (⋀

) 49

bigwedgedot () 47

bigwedgedot () 47

bigwhitestar () 148

bigwith (˘

) 52

binampersand (N) 32

binampersand (icirc) 35

binary operators 31ndash40

binary relations 52ndash57 60ndash7293ndash95

257

negated 53 54 56ndash57 5960 62

bindnasrepma (O) 32bindnasrepma (iuml) 35Biohazard (h) 136biohazard () 196biological symbols 136birds 154bishop 187 224ndash226bishoppair (a) 186

Bja (j) 157

Bje (J) 157

Bjo (b) 157

Bju (L) 157

Bka (k) 157

Bke (K) 157

Bki (c) 157

Bko (h) 157

Bku (v) 157BL () 134black 188

BlackBishopOnBlack (a) 187

BlackBishopOnWhite (b) 187

blackboard bold see alphabetsmath

blackbowtie (euml) 35blackcircledownarrow (⧭) 148blackcircledrightdot ()

148blackcircledtwodots () 148blackcircleulquadwhite ()

148blackdiamond (˛) 33blackdiamond () 39blackdiamonddownarrow (⧪)

148

BlackEmptySquare (Z) 187blackhourglass (⧗) 40blackinwhitediamond () 148blackinwhitesquare () 148

BlackKingOnBlack (j) 187

BlackKingOnWhite (k) 187

BlackKnightOnBlack (m) 187

BlackKnightOnWhite (n) 187

blacklefthalfcircle () 148

blacklozenge () 124blacklozenge (atilde) 39 147blacklozenge (⧫) 147blacklozenge (⧫) 147blacklozenge (⧫) 148 149

BlackPawnOnBlack (o) 187

BlackPawnOnWhite (p) 187blackpointerleft () 148blackpointerright () 148

BlackQueenOnBlack (l) 187

BlackQueenOnWhite (q) 187blackrighthalfcircle () 148

BlackRookOnBlack (s) 187

BlackRookOnWhite (r) 187blacksmiley () 126blacksmiley (-) 181blacksquare () 124blacksquare (iuml) 39 147blacksquare (∎) 38blacksquare () 149blackstone 187blacktriangle (N) 124blacktriangle (euml) 39 147blacktriangle () 39 74blacktriangle () 73blacktriangle () 148blacktriangledown (İ) 37blacktriangledown (H) 124blacktriangledown (egrave) 39 147blacktriangledown () 39 74blacktriangledown () 73blacktriangledown () 148blacktriangleleft (đ) 37blacktriangleleft (J) 72blacktriangleleft (ecirc) 39blacktriangleleft () 39 74blacktriangleleft () 73blacktriangleleft () 148blacktriangleright (sect) 37blacktriangleright (I) 72blacktriangleright (eacute) 39blacktriangleright () 39

74blacktriangleright () 73blacktriangleright () 148blacktriangleup (Ĳ) 37blackwhitespoon (⊷) 94blank see textblank

Bleech (Euml) 182blender ( ) 196blitza () 95blitza () 30

blitzb () 95blitzc () 95blitzd () 95blitze (13) 95blkhorzoval () 148blkvertoval () 148block-element symbols 190Bm (

macr) 188

bm (package) 241 247 248bm 241bm (

macr) 188

Bma (m) 157

Bme (M) 157Bmesonminus (Uacute) 138Bmesonnull (Ucirc) 138Bmesonplus (Ugrave) 138

Bmi (y) 157

Bmo (A) 157bmod 96

Bmu (B) 157

Bna (n) 157

BNc (laquo) 157

BNcc (raquo) 157

BNccc (ndash) 157

BNcd (mdash) 157

BNcm (ff) 157

BNd (zwnj) 157

BNdc (permil) 157

BNdcc (ı) 157

BNdccc (ȷ) 157

Bne (N) 157

BNi (acute) 157

Bni (C) 157

BNii (ˆ) 157

BNiii (˜) 157

BNiv (uml) 157

BNix (macr) 157

BNl (lsaquo) 157

BNlx (rsaquo) 157

BNlxx (ldquo) 157

BNlxxx (rdquo) 157

BNm (fi) 157

Bno (E) 157bNot (⫭) 61

Bnu (F) 157

BNv (˝) 157

BNvi (˚) 157

BNvii (ˇ) 157

BNviii (˘) 157

Bnwa () 157

BNx (˙) 157

258

BNxc (bdquo) 157

BNxl (sbquo) 157

BNxx (cedil) 157

BNxxx (˛) 157

Bo (o) 157body-text symbols 14ndash29boisik (package) 35 39

48 60 66 71 74 86 8799ndash102 111 123 125 147151 159 163 247

bold symbols 240ndash241boldmath 241boldsymbol 241BOLogo (F) 182BOLogoL (M) 182BOLogoP (N) 182bomb 197ndash198bomb (L) 182bond (120595) 138Boolean domain (B) see

alphabets mathBoolean logic gates 135boondox (emf package option)

131borders 209ndash217born see textborn

boseDistrib (120561) 138Bosnia () 194boson (120564) 138bosons 137Bot (sbquo) 102bot (perp) 30 100 232bot (perp) 101bot () 100bot (perp) 101

botborder () 188botdoteq (rdquo) 54botsemicircle () 148bottle ( ) 196Bottomheat () 196Bouquet (yen) 182bowl ( ) 196Bowtie (1) 181bowtie (◁▷) 52bowtie (egrave) 35bowtie (⋈) 35 57bowtie (amp) 33 34bowtie (⋈) 61Box () 124Box (2) 124Box () 39Box (◻) 38Box () 149box-drawing symbols 190boxast (i) 32boxast (curren) 39boxast (⧆) 40boxasterisk (f) 37

boxbackslash (n) 37boxbackslash (⧅) 38boxbackslash (⧅) 38boxbar (k) 32boxbar (iexcl) 39boxbar () 39boxbar () 40boxbot (k) 37boxbot () 39boxbox () 32boxbox (sect) 39boxbox (⧈) 38boxbox (⧈) 38boxbox (⧈) 40boxbslash (j) 32boxbslash () 39boxbslash (⧅) 39boxbslash (⧅) 40boxcirc (e) 37boxcircle () 32boxcircle (yen) 39boxcircle (⧇) 40boxcoasterisk (g) 37boxdiag (⧄) 39boxdiag (⧄) 40boxdiv (c) 37boxdivision (brvbar) 39boxdot (d) 37boxdot () 31 32boxdot (ocirc) 39boxdot (⊡) 38boxdot (⊡) 38boxdot (⊡) 40boxdotLeft () 76boxdotleft () 76boxdotRight () 76boxdotright () 76boxempty () 32boxLeft () 76boxleft (h) 37boxleft () 76boxleft () 39boxminus (a) 37boxminus () 31boxminus (ntilde) 39boxminus (⊟) 38boxminus (⊟) 38boxminus (⊟) 40boxonbox (⧉) 148boxplus (lsquo) 37boxplus () 31boxplus (eth) 39boxplus (⊞) 38boxplus (⊞) 38boxplus (⊞) 40boxRight () 76boxright (i) 37boxright () 76boxright ( ) 39

boxslash (m) 37boxslash (l) 32boxslash (cent) 39boxslash (⧄) 38boxslash (⧄) 38boxtimes (b) 37boxtimes () 31boxtimes (ograve) 39boxtimes (⊠) 38boxtimes (⊠) 38boxtimes (⊠) 40boxtop (j) 37boxtop () 39boxtriangle (pound) 39boxtriangleup (o) 37boxvert () 38boxvert (q) 38boxvoid (l) 37boy (D) 132

Bpa (p) 157

Bpaiii ([) 157

BPamphora (Ž) 158

BParrow (ĳ) 158

BPbarley (Ş) 158

BPbilly (ť) 158

BPboar (ľ) 158

BPbronze (Ű) 158

BPbull (ň) 158

BPcauldroni (đ) 158

BPcauldronii (sect) 158

BPchariot (yuml) 158

BPchassis (ź) 158

BPcloth (Ř) 158

BPcow (ŋ) 158

BPcup (Ÿ) 158

Bpe (P) 157

BPewe (š) 158

BPfoal (ě) 158

BPgoat (ş) 158

BPgoblet (Ź) 158

BPgold (Ů) 158

BPhorse (ď) 158

Bpi (G) 157

BPman (ă) 158

BPnanny (ț) 158

Bpo (H) 157

BPolive (Ț) 158

BPox (ń) 158

BPpig (ĺ) 158

BPram (ś) 158

BPsheep (ř) 158

BPsow (ł) 158

259

BPspear (iexcl) 158

BPsword (ż) 158

BPtalent (Ď) 157

Bpte (]) 157

Bpu (I) 157

Bpuii () 157

BPvola (Ĺ) 157

BPvolb (Ľ) 157

BPvolcd (Ł) 157

BPvolcf (Ń) 157

BPwheat (Š) 158

BPwheel (ž) 158

BPwine (Ť) 158

BPwineiih (Ż) 158

BPwineiiih (Ĳ) 158

BPwineivh (İ) 158

BPwoman (ą) 158

BPwool (Ś) 158

BPwta (Ă) 157

BPwtb (Ą) 157

BPwtc (Ć) 157

BPwtd (Č) 157

Bqa (q) 157

Bqe (Q) 157

Bqi (X) 157

Bqo (8) 157

Bra (r) 157bra 103braceld (⏞) 235bracerd ( ) 235braces 14 104ndash107 112ndash115

asymmetric 115extensible 112ndash115multiline 115

bracevert (⎪⎪⎪⎪) 104

bracevert (

⎪⎪⎪⎪⎪⎪) 105

bracevert (⎪) 126brackets see delimiters

Braii (^) 157

Braiii (_) 157braket (package) 103Bratpfanne ( ) 196

Bre (R) 157Break ( Break ) 134

breve ( ) 111breve (˘) 110breve (a) 24breve (a) see accentsbrevis (β) 189

Bri (O) 157

Bro (U) 157

Broii (lsquo) 157brokenvert (|) 181Bronger Torsten 232

Bru (V) 157BS () 135

Bsa (s) 157

Bse (S) 157BSEfree (n) 136

Bsi (Y) 157bsimilarleftarrow (⭁) 87bsimilarrightarrow (⭇) 87

Bso (1) 157bsolhsub (⟈) 67BSpace ( ↦minusrarr ) 134

Bsu (2) 157

Bswa () 157

Bswi (|) 157

Bta (t) 157

Btaii () 157

Bte (T) 157

Bti (3) 157btimes (⨲) 35btimes (⨲) 36

Bto (4) 157

Btu (5) 157

Btwe (shy) 158

Btwo (~) 157

Bu (u) 157

BUFd () 135buffers 135

BUFl () 135

BUFr () 135

BUFu () 135

BUi (fl) 158

BUii (ffi) 158

BUiii (ffl) 158

BUiv () 158

BUix () 158Bulgaria () 194bullcntr (package) 185 247 248bullcntr⟨1 ⟩ ( ∙ ) 185bullcntr⟨2 ⟩ (∙ ∙) 185bullcntr⟨3 ⟩ ( ∙∙ ∙) 185bullcntr⟨4 ⟩ (

∙∙ ∙∙ ) 185bullcntr⟨5 ⟩ (

∙ ∙∙∙ ∙) 185bullcntr⟨6 ⟩ ( ∙∙∙ ∙∙∙ ) 185bullcntr⟨7 ⟩ ( ∙∙∙∙∙∙∙ ) 185bullcntr⟨8 ⟩ (∙∙∙∙∙∙∙∙) 185bullcntr⟨9 ⟩ (

∙∙∙∙∙∙∙∙∙) 185

bullenum (package) 185

bullenum 185bullet (∙) 31bullet (bull) 39bullet () 33bullet (∙) 40bullseye see textbullseye

bullseye () 148Bumpedeq (ı) 54bumpedeq () 54Bumpeq (m) 52Bumpeq (Ccedil) 60Bumpeq (≎) 57Bumpeq (≎) 55Bumpeq (≎) 61bumpeq (l) 52bumpeq (AElig) 60bumpeq (≏) 57bumpeq (≏) 55bumpeq (≏) 61bumpeqq (⪮) 57bumpeqq (⪮) 61bupperhand (e) 186

Burns (

) 189BusWidth () 135

BUv () 158

BUvi () 158

BUvii () 158

BUviii ($) 158

BUx (amp) 158

BUxi (rsquo) 158

BUxii (shy) 158

Bwa (w) 157

Bwe (W) 157

Bwi (6) 157

Bwo (7) 157BX () 134

Bza (z) 157

Bze (Z) 157

Bzo (9) 157

CC (a) 21C ( ) 188c (esvect package option) 115c (a) 21 243c ( ) 188

Ca (a) 158

caesura (O) 164

cal (emf package option) 131calligra (package) 128 247 248calligra (emf package option) 131Calligra (font) 128

260

calrsfs (package) 128CAN () 135cancel (package) 112Cancer (atilde) 132Cancer (b) 133cancer (_) 131Candle ( ) 197candra ( ) 111Cap (e) 31Cap (Euml) 35Cap (⋒) 35Cap (⋒) 34Cap (⋒) 36cap (X) 33cap (cap) 31cap () 35cap (cap) 34cap (cap) 33cap (cap) 36

capbarcup (⩉) 36

capdot (⩀) 34capdot (⩀) 33capdot (⩀) 36

capovercup (⩇) 36

capplus (C) 34capplus () 33Capricorn (eacute) 132Capricorn (B) 133capricornus (d) 131capturesymbol (X) 186capwedge (⩄) 36card suits 151 152 197ndash198cardinality see aleph

care of (co) 126caret see ^

caretinsert () 126Carlisle David 1 246caron (a) see accentscarriage return 229carriage return 134 135 152

229carriagereturn () 86carriagereturn (crarr) 87carriagereturn (C) 152Cartesian product see times

castle 187 224ndash226castlingchar (O) 186castlinghyphen (-) 186Cat ( ) 196catal (γ) 189Catalexis (and) 188catalexis (and) 188catamorphism


CB (-) 134cb (a ) 25Cc ( ) 188

cc ( CC ) 28cc ( ) 188ccAttribution (b) 28ccby ( BY ) 28ccbyncnd (cbnd) 28Ccc ( ) 188ccCopy (copy) 28ccicons (package) 28 247 248cclicenses (package) 28 247ccLogo (c) 28ccnc ( $∖ ) 28ccnd ( = ) 28ccNoDerivatives (d) 28ccNonCommercial (n) 28ccNonCommercialEU (e) 28ccNonCommercialJP (y) 28ccPublicDomain (p) 28ccRemix (r) 28ccsa (

C ) 28ccSampling (m) 28ccShare (s) 28ccShareAlike (a) 28ccwundercurvearrow (⤿) 87ccZero (z) 28cdot (middot) 31 230cdot (y) 35cdot (sdot) 34 120cdot (⋯) 120cdot (sdot) 33 120cdot (sdot) 120cdotp (middot) 119cdotp (⋯) 120cdotp (sdot) 120cdotp (middot) 120cdots (middot middot middot ) 119cdots (⋯) 120cdots (⋯) 120CE () 134

Ce (e) 158Cedi see textcolonmonetary

cedilla (cedil) see accentscelestial bodies 131ndash133 191

206ndash209celsius () 130Celtcross () 182Celtic knots 213ndash217cent (cent) 26centerdot (sbquo) 33centerdot ( ) 34centerdot () 31centerdot (icirc) 35centerdot (middot) 120centernot (package) 232centernot 232centigrade see textcelsius

centre (I) 186cents see textcent

Ceres (Acirc) 133CEsign (C) 136

Cga (g) 158Chair ( ) 197chancery (package) 247changenotsign 54char 229 239 242 245 246Charter (font) 26 51check ( ) 111check (ˇ) 110check marks 15 125ndash126 143

144 152 181 182 199ndash202227

checked () 181CheckedBox (2) 143Checkedbox (V) 143

Checkmark () 143checkmark (X) 15

checkmark (D) 152checkmark (iuml) 125

checkmark () 125checkmark () 125

checkmark () 126

checkmark (X vs D) 227

CheckmarkBold () 143

checksymbol (+) 186

chemarr (package) 116 247chemarrow (package) 91 117

247

chemarrow (A) 91Chen Raymond 249

chess symbols 186 187 224ndash226chesscomment (RR) 186

chessetc (P) 186

chesssee (l) 186chevrons 141

Chi (X) 97chi (120594) 97

ChinA2e (package) 26 96 129191 192

china2e (package) 128 247 248Chiron (D) 133chiup (χ) 98chorus (emf package option) 131

Ci (i) 158

cipher symbols 191cirbot (⟟) 61circ (∘) 31 126 231

circ () 39circ () 33circ () 148 149

circeq () 54circeq ($) 52circeq (Ugrave) 60circeq (≗) 57

circeq (≗) 55circeq (≗) 61CIRCLE ( ) 146

Circle () 146

261

Circle (5) 149

Circle ( vs 5) 227circlearrowleft (ouml) 76circlearrowleft () 75circlearrowleft (pound) 86circlearrowleft () 82circlearrowleft () 78circlearrowleft () 87 89circlearrowright (œ) 76circlearrowright () 75circlearrowright (cent) 86circlearrowright () 82circlearrowright () 78circlearrowright () 87 89circlebottomhalfblack ()

148circled numerals 144 187 188

224CircledA (ordf) 182circledast (~) 31circledast (ouml) 39circledast (⊛) 39circledast (⊛) 38circledast (⊛) 40circledbar (V) 32circledbslash (W) 32circledbullet (⦿) 148circledcirc () 31circledcirc (otilde) 39circledcirc (⊚) 39circledcirc (⊚) 38circledcirc (⊚) 40circleddash () 31circleddash (divide) 39circleddash (⊝) 39circleddash (⊖) 38circleddash (⊝) 40circleddot see odot

circleddotleft () 76circleddotright () 76CircledEq () 60circledequal (⊜) 39circledequal (⊜) 40circledgtr (S) 53circledless (R) 53circledminus see ominus

circledotleft seecircleddotleft

circledotright seecircleddotright

circledownarrow (⧬) 148circledparallel (⦷) 40circledplus see oplus

circledR (r) 15 100circledR () 101circledrightdot () 148circledS (s) 100circledS () 101circledslash see oslash

circledstar () 148circledtimes see otimes

circledtwodots () 148circledvee (U) 32circledvert (⦶) 39circledvert (⦶) 40circledwedge (T) 32circledwhitebullet (⦾) 148circlehbar (⦵) 40circleleft () 76circlelefthalfblack () 148circlellquad () 148circlelrquad () 148circleonleftarrow (⬰) 88circleonrightarrow (⇴) 88circleright () 76circlerighthalfblack () 148circles 133 146ndash152 187 188

193 204ndash206 210ndash211 222CircleShadow (d) 150

CircleSolid (a) 150circletophalfblack () 148circleulquad () 148circleurquad () 148circleurquadblack () 148circlevertfill () 149Circpipe () 136circplus (˘) 33circplus () 35Circsteel () 136circumflex (a) see accentscircumflexus (a) 24cirE (⧃) 149cirfnint (⨐) 49cirfnintsl (⨐) 50cirfnintup (⨐) 50cirmid (⫯) 94cirmid (⫯) 61cirscir (⧂) 149

Cja (j) 158

Cjo (b) 158

Cka (k) 158

Cke (K) 158

Cki (c) 158

Cko (h) 158

Cku (v) 158

Cla (l) 158

Cle (L) 158CleaningA (laquo) 182CleaningF (frac34) 182CleaningFF (iquest) 182CleaningP (not) 182CleaningPP (icirc) 182

clefC ( ) 167clefCInline 167

clefF ( ) 167

clefFInline 167

clefG ( ) 167clefGInline 167clefs 164 165 167 172 197ndash198

Cli (d) 158clickb () 19clickc () 19clickt (R) 19

Clo (f) 158clock (package) 184 247 248clock () 181

clock (i1) 184

clock symbols 181ndash184 197ndash198ClockFramefalse 184ClockFrametrue 184ClockLogo (U) 182ClockStyle 184clocktime 184closedcurlyvee (frac34) 33closedcurlywedge (frac14) 33closedequal (Uuml) 55closedniomega () 19closedprec (frac12) 55closedrevepsilon () 19closedsucc (raquo) 55closedvarcap (⩍) 36closedvarcup (⩌) 36closedvarcupsmashprod (⩐) 36closure ( ) 110closure () 58 95closure () 61Cloud () 183clouds 40clovers 145

Clu (q) 158clubs 151 152clubsuit (clubs) 151clubsuit (ocirc) 151clubsuit (clubs) 151clubsuit (clubs) 151clubsuit (clubs) 151

Cma (m) 158

Cme (M) 158

Cmi (y) 158cmll (package) 30 37 52 64

102 247Cmo (A) 158cmr (emf package option) 131

Cmu (B) 158

Cna (n) 158

Cne (N) 158

Cni (C) 158

Cno (E) 158

Cnu (F) 158

262

CO () 134

Co (o) 158coAsterisk (ˇ) 33coAsterisk (`) 35coasterisk (ˇ) 33

Coda (i) 164

coda (U) 164code page 1252 244

table 244code page 437 135 190 242Coffeecup (K) 182 197coh (uml) 64coins ancient 27Colon (∷) 120Colon (∷) 120colon 119colon ( ) 119colon (∶) 120colon (∶) 120Colonapprox () 53Colonapprox (asymp) 62colonapprox (asymp) 64colonapprox (asymp) 62colonapprox (13) 53coloncolon () 64coloncolonapprox (asymp) 64coloncolonequals (=) 64coloncolonminus (minus) 64coloncolonsim (sim) 64Coloneq (H) 53Coloneq (minus) 62Coloneq (⩴) 61coloneq (ndash) 30 54coloneq (minus) 62coloneq (D) 53coloneq (≔) 57coloneq (∶=) 55coloneq (≔) 61Coloneqq (F) 53Coloneqq (=) 62coloneqq (=) 62coloneqq (B) 30 53coloneqq (≔) 58colonequals (package) 30 64

247 248colonequals (=) 30 64colonminus (minus) 64Colonsim () 53Colonsim (sim) 62colonsim (sim) 64colonsim (sim) 62colonsim () 53combelow (package) 25 247 248combinatorial logic gates 135comma-below accent (a ) see

accentscommaminus (⨩) 36

communication symbols 136commutative diagrams 233comptexttex (newsgroup) 12

30 31 229ndash235compass 204ndash206compensation (n) 186complement (A) 100complement () 100complement (yacute) 101complement (∁) 101complement (∁) 46complement (∁) 101complete shuffle product () 37

COMPLEX (raquo) 96

Complex (Atilde) 96complex numbers (C) see

alphabets mathcomposited accents 21Comprehensive TEX Archive Net-

work 1 12 112 129 135226 244ndash246

computer hardware symbols 134computer keys 134Computer Modern (font) 92

226 228 242computer symbols 199ndash202ComputerMouse (Iacute) 134concavediamond (⟡) 40concavediamondtickleft (⟢)

40concavediamondtickright (⟣)

40Conclusion () 122conductivity (120594) 138cong () 52cong (aelig) 60cong (cong) 57cong (cong) 55cong (cong) 61congdot (⩭) 61Congruent (]) 122congruent see equiv

conictaper () 126conjquant (⨇) 48

conjquant (⨇

) 49Conjunction (q) 133conjunction (V) 131conjunction logical see wedge

and amp

consequence relations 63contradiction symbols 30 95control characters 135converse implication see

leftarrow and subset

converse nonimplication seenleftarrow and nsubset

convolution (˙) 33convolution () 35

cooker ( ) 196cooking symbols 196 199ndash202cookingsymbols (package) 196

247 248Cooley ( ) 196Coppa (Ϙ) 159coppa (ϙ) 159coprod (

∐) 30 42

coprod (∐) 47coprod (∐) 46

coprod (∐

) 48copyright 14 15 27 28 243copyright (copy) 15copyright ( c) 15corner (k) 25corners box 190corona () 189coronainv (Ϙ) 189Corresponds (=) 122corresponds (fl) 54corresponds () 60cos (cos) 96 240cosh (cosh) 96cot (cot) 96coth (coth) 96counterplay (V) 186countries 194

European 194CountriesOfEurope (package) 194

247 248CountriesOfEurope (font) 195CountriesOfEuropeFamily 195Courier (font) 26covbond (⁀) 138CP1252 see code page 1252CP437 see code page 437

Cpa (p) 158

Cpe (P) 158

Cpi (G) 158

Cpo (H) 158

Cpu (I) 158

CR (-) 134 135cr 231

Cra (r) 158

Cre (R) 158Creative Commons licenses 27

28crescent (fge package option) 111crescHairpin ( ) 168

Cri (O) 158

Cro (U) 158Croatia () 194Cross () 182

Cross () 143

Cross () 149

Cross () 150

263

Cross ( vs vs ) 227cross () 162cross ratio see textrecipe

crossb () 19

CrossBoldOutline (-) 143

CrossClowerTips (4) 143crossd (13) 19CrossedBox (X) 143CrossedBox (X) 143Crossedbox (X) 143crosses 143 173ndash178 182 187

188 204ndash206crossh () 19crossing () 57

CrossMaltese () 143crossnilambda (3) 19

CrossOpenShadow (+) 143

CrossOutline () 143crotchet see musical symbolscrotchet (C) 166crotchetDotted ( u ) 166crotchetDottedDouble ( uu ) 166crotchetDottedDoubleDown

(uu) 166

crotchetDottedDown (u) 166

crotchetDown (C) 166

crotchetRest ( ) 168

crotchetRestDotted ( ) 168crtilde (

Ŕa) 23

Cru (V) 158crucifixes 143 182 204ndash206Crux (dagger) 110crux (dagger) 110cryst (package) 222 247crystallography symbols 222CS (-) 134

Csa (s) 158csc (csc) 96

Cse (S) 158cshuffle () 37

Csi (Y) 158

Cso (1) 158

Csu (2) 158csub (⫏) 67csube (⫑) 67csup (⫐) 67csupe (⫒) 67

Cta (t) 158CTAN see Comprehensive TEX

Archive NetworkCte (T) 158

Cti (3) 158

Cto (4) 158Ctrl ( Ctrl ) 134

Ctu (5) 158

Cu (u) 158

Cube ( ) 183229

cube root see sqrt

cube rotations 203Cup (d) 31Cup (Ecirc) 35Cup (⋓) 35Cup (⋓) 34Cup (⋓) 36cup (Y) 33cup (cup) 31 230 239cup () 35cup (cup) 34cup (cup) 33cup (cup) 36

cupbarcap (⩈) 36

cupdot (⊍) 34cupdot (⊍) 33cupdot (⊍) 36Cupido (auml) 133cupleftarrow (macr) 35 86cupleftarrow (⊌) 36

cupovercap (⩆) 36

cupplus (⊎) 34 35cupplus (⊎) 33 34cupvee (⩅) 36curlyc () 19curlyeqprec (ű) 54curlyeqprec (2) 52curlyeqprec (Igrave) 60curlyeqprec (⋞) 58curlyeqprec (⋞) 55curlyeqprec (⋞) 61curlyeqsucc (ů) 54curlyeqsucc (3) 52curlyeqsucc (Iacute) 60curlyeqsucc (⋟) 58curlyeqsucc (⋟) 55curlyeqsucc (⋟) 61curlyesh (N) 19curlyvee (O) 33curlyvee (g) 31curlyvee (Iuml) 35curlyvee (⋎) 34curlyvee (⋎) 33curlyvee (⋎) 36curlyveedot (5) 33curlyveedownarrow () 32curlyveedownarrow (Yacute) 86curlyveeuparrow () 32curlyveeuparrow (Uuml) 86curlywedge (N) 33curlywedge (f) 31curlywedge (Icirc) 35curlywedge (⋏) 34curlywedge (⋏) 33curlywedge (⋏) 36

curlywedgedot (4) 33curlywedgedownarrow () 32curlywedgedownarrow (szlig) 86curlywedgeuparrow (amp) 32curlywedgeuparrow (THORN) 86curlyyogh (a) 19curlyz (^) 19currency (curren) 26currency symbols 26 27 126

129curvearrowbotleft (oacute) 76curvearrowbotleft (oacute) 86curvearrowbotleftright (otilde)

76curvearrowbotleftright (otilde)

86curvearrowbotright (ocirc) 76curvearrowbotright (ocirc) 86curvearrowdownup (Euml) 77curvearrowleft (eth) 76curvearrowleft (x) 75curvearrowleft (eth) 86curvearrowleft (⤺) 82curvearrowleft () 78curvearrowleft () 88curvearrowleftplus (⤽) 88curvearrowleftright (ograve) 76curvearrowleftright (ograve) 86curvearrowleftright (Egrave) 77curvearrownesw (Igrave) 77curvearrownwse (Iacute) 77curvearrowright (ntilde) 76curvearrowright (y) 75curvearrowright (ntilde) 86curvearrowright () 82curvearrowright () 78curvearrowright () 88curvearrowrightleft (Ecirc) 77curvearrowrightminus (⤼) 88curvearrowsenw (Iuml) 77curvearrowswne (Icirc) 77curvearrowupdown (Eacute) 77CutLeft (q) 141cutoff subtraction see dotdiv

CutRight (s) 141CuttingLine (R) 141

Cwa (w) 158cwcirclearrow (⥁) 88cwcirclearrowdown (⟳) 81cwcirclearrowleft (micro) 81cwcirclearrowright () 81cwcirclearrowup (acute) 81

Cwe (W) 158cwgapcirclearrow (⟳) 82cwgapcirclearrow (⟳) 88

Cwi (6) 158cwleftarcarrow () 81cwnearcarrow (⤵) 81

264

cwnwarcarrow () 82

Cwo (7) 158cwopencirclearrow () 82cwopencirclearrow () 89

149cwoverarcarrow () 82cwrightarcarrow (⤸) 82cwrightarcarrow (⤸) 88cwsearcarrow (⤶) 82cwswarcarrow () 82cwunderarcarrow () 82cwundercurvearrow (⤾) 88

Cxa (x) 158

Cxe (X) 158

Cya (j) 158

Cyo (b) 158cyprfamily 158Cypriot 158cypriot (package) 158 247 248CYRSH (Ш) 229

Cza (g) 158Czechia () 194

Czo (9) 158

DD (D) 162D (a

uml) 24

d (esvect package option) 115d (ď) 162d (a) 21d (d) 162drsquoAlembert operator see

laplac

DA () 134dag (dagger) 15 244dag (dagger) 15dagger (dagger) 31dagger (ntilde) 35dagger (dagger) 36dalambert (aring) 125daleth (k) 99daleth (uacute) 100daleth (ℸ) 99daleth (ℸ) 99daleth (ℸ) 100dancers (package) 217 247dancing men 217ndash220danger () 126danger (B) 182dangerous bend symbols 181Danish runes see normal runesdAnnoey ( ) 197DArrow ( darr ) 134

dasharrow seedashrightarrow

dasharrow () 82dasharrow (⤏) 89

dashcolon (∹) 61dasheddownarrow () 77dashedleftarrow () 77dashednearrow (d) 77dashednwarrow (e) 77dashedrightarrow () 77dashedsearrow (g) 77dashedswarrow (f) 77dasheduparrow () 77dashint (minus

int) 232

dashleftarrow (c) 75dashleftarrow () 82dashleftarrow () 78dashleftarrow (⤎) 89dashleftharpoondown (⥫) 90dashleftrightarrow (e) 76dashrightarrow (d) 75dashrightarrow () 82dashrightarrow () 78dashrightarrow (⤏) 89dashrightharpoondown (⥭) 90DashV ()) 54DashV (Uacute) 60DashV (⫥) 58DashV (⫥) 61Dashv ()) 54Dashv (⫤) 58Dashv (⫤) 61dashV (Ucirc) 60dashV (⫣) 58dashV (⫣) 61dashv (⊣) 52dashv (⊣) 58dashv (⊣) 56dashv (⊣) 61DashVDash (⟚) 61dashVdash (⟛) 61dashVv (-) 54dashVv (Oslash) 60dashVv (yacute) 58database symbols 126davidsstar (C) 144

DavidStar (0) 145

DavidStarSolid () 145dBar (||) 189dbar (119889) 230dbend () 181dbkarow (⤏) 88 89dblaccnt (package) 234dblcolon () 62DCa () 135DCb () 135DCc () 135DCd () 135dCooley ( ) 197DD () 134 165ddag (Dagger) 15 244ddag (Dagger) 15

ddagger (Dagger) 31ddagger (ograve) 35ddagger (Dagger) 36ddashint (=

int) 232

Ddashv (yuml) 58ddddot ( ) 111ddddot (

) 110

dddot () 111dddot (

) 110

dddtstile ( ) 63

ddigamma (ϝ) 159

DDohne (DD ) 165ddot ( ) 111ddot (uml) 110ddotdot () 34 120ddotdot () 33 120

ddots ( ) 120

ddots ( ) 119 234

ddots (⋱) 120ddots (⋱) 120ddots (⋱) 120ddotseq (⩷) 61DDownarrow (⟱) 88

DDownarrow (⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟱

) 107

Ddownarrow (⤋) 82Ddownarrow (⤋) 88

Ddownarrow (⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤋

) 107

ddststile ( ) 63

ddtstile ( ) 63

ddttstile ( ) 63

DE () 134DeclareFontFamily 225 239DeclareFontShape 225 239DeclareMathOperator 240DeclareMathOperator 240declareslashed 231 232DeclareUnicodeCharacter 245decofourleft ([) 146decofourright () 146decoone (X) 146decorative borders 209ndash217decosix (]) 146decothreeleft (Y) 146decothreeright (Z) 146decotwo (a) 146decrescHairpin ( ) 168Dedekind Richard 229definite-description operator ( 120580)

229definition symbols 30 235deg (deg) 96degree (0) 124degree (deg) 130degrees see textdegree

265

DEL () 135DEL () 135Del ( Del ) 134

Del ( Del ) 134

Deleatur see Denarius

delimiters 102ndash110text-mode 110variable-sized 103ndash109wavy-line 104ndash108

Delta (Δ) 97delta (120575) 97deltaup (δ) 98deminutum see musixgredemisemiquaver see musical

symbols

demisemiquaver (Z) 166

demisemiquaverDotted (Z ) 166

demisemiquaverDottedDouble

(Z

) 166demisemiquaverDottedDoubleDown

(Z ) 166

demisemiquaverDottedDown

(Z ) 166

demisemiquaverDown (Z) 166

Denarius (cent) 26denarius (Ε) 27Denmark () 194dental (ag) 23Dep () 164derivitive partial see partial

Descartesrsquos equal sign () see rightpropto andbackpropto

descnode () 131det (det) 96devadvantage (t) 186

Dfourier ( ) 64Dfourier (Euml) 60

dfourier ( ) 64dfourier (Ecirc) 60

DFT ( ) 118

dft ( ) 118DH ( D) 20DH (ETH) 15 243dh (k) 20dh (eth) 15 243diacritics see accentsdiaeresis (a) 24diaeligresis (a) see accentsdiagdown (aring) 124diagdown () 124diagdown (Uuml) 125diagdown (Oacute) 56diagdown (⟍) 126diagonal (G) 186diagup (auml) 124

diagup () 124diagup (Ucirc) 125diagup (Ograve) 56diagup (⟋) 126diameter (I) 124diameter () 30diameter (empty) 125diameter (empty) 125diameter () 126diameter () 181Diamond (^) 124Diamond (3) 124Diamond () 39Diamond () 38Diamond (loz) 149diamond () 31diamond () 39 147diamond (⋄) 39diamond () 38diamond (⋄) 40 149diamondbackslash () 38diamondbackslash () 38diamondbar (ordf) 39Diamondblack (_) 124diamondbotblack () 149diamondbslash () 39diamondcdot (⟐) 39diamondcdot (⟐) 149diamondcircle (reg) 39diamonddiamond () 38diamonddiamond () 38Diamonddot () 124diamonddot (⟐) 38diamonddot (⟐) 38DiamonddotLeft () 76Diamonddotleft () 76DiamonddotRight () 76Diamonddotright () 76diamonddots (13) 33 120DiamondLeft () 76Diamondleft () 76diamondleftarrow (⤝) 88diamondleftarrowbar (⤟) 88diamondleftblack () 149diamondminus (copy) 39diamondminus () 38diamondminus (x) 38diamondop (uml) 39diamondplus (not) 39diamondplus () 38diamondplus (|) 38DiamondRight () 76Diamondright () 76diamondrightblack () 149diamonds 31 33 38ndash40

76 124 147ndash152 173ndash178183 204ndash206 222

DiamondShadowA () 149

DiamondShadowB () 149

DiamondShadowC () 149

Diamondshape (6) 149diamondslash () 38diamondslash (z) 38

DiamondSolid (p) 150diamondsuit () 151diamondsuit (otilde) 151diamondsuit () 151diamondsuit () 151diamondsuit () 151diamondtimes (laquo) 39diamondtimes () 38diamondtimes () 38diamondtopblack () 149diamondtriangle (shy) 39diamondvert () 38diamondvert (y) 38diatop 25 234diaunder 25 234dice 183 184 223 229dice (package) 223 247dicei () 184diceii () 184diceiii () 184diceiv () 184dicev () 184dicevi () 184dictionary symbols 17ndash20 189dictsym (package) 189 247died see textdied

differential inexact see dbar

Digamma () 159Digamma (Ϝ) 159digamma (z) 97 159digamma () 159digamma (ϝ) 101digamma (ϝ) 159digital logic gates 135digits see numeralsdim (dim) 96ding 17 139 141ndash145 150 152ding33 () 141ding34 () 141ding35 () 141ding36 ($) 141ding37 () 152ding38 (amp) 152ding39 () 152ding40 (() 152ding41 ()) 152ding42 () 142ding43 (+) 142ding44 () 142ding45 (-) 142ding46 () 142ding47 () 142ding48 (0) 142ding49 (1) 142

266

ding50 (2) 142ding51 (3) 143ding52 (4) 143ding53 (5) 143ding54 (6) 143ding55 (7) 143ding56 (8) 143ding57 (9) 143ding58 () 143ding59 () 143ding60 (lt) 143ding61 (=) 143ding62 (gt) 143ding63 () 143ding64 () 143ding65 (A) 145ding66 (B) 145ding67 (C) 145ding68 (D) 145ding69 (E) 145ding70 (F) 145ding71 (G) 145ding72 (H) 145ding73 (I) 145ding74 (J) 145ding75 (K) 145ding76 (L) 145ding77 (M) 145ding78 (N) 145ding79 (O) 145ding80 (P) 145ding81 (Q) 145ding82 (R) 145ding83 (S) 145ding84 (T) 145ding85 (U) 145ding86 (V) 145ding87 (W) 145ding88 (X) 145ding89 (Y) 145ding90 (Z) 145ding91 ([) 145ding92 () 145ding93 (]) 145ding94 (^) 145ding95 (_) 145ding96 (`) 145ding97 (a) 145ding98 (b) 145ding99 (c) 145ding100 (d) 145ding101 (e) 145ding102 (f) 145ding103 (g) 145ding104 (h) 145ding105 (i) 145ding106 (j) 145ding107 (k) 145ding108 (l) 150

ding109 (m) 150ding110 (n) 150ding111 (o) 150ding112 (p) 150ding113 (q) 150ding114 (r) 150ding115 (s) 150ding116 (t) 150ding117 (u) 150ding118 (v) 152ding119 (w) 150ding120 (x) 150ding121 (y) 150ding122 (z) 150ding123 () 17ding124 (|) 17ding125 () 17ding126 (~) 17ding161 (iexcl) 17ding162 (cent) 17ding163 (pound) 17ding164 (curren) 152ding165 (yen) 152ding166 (brvbar) 152ding167 (sect) 152ding168 (uml) 152ding169 (copy) 152ding170 (ordf) 152ding171 (laquo) 152ding172 (not) 144ding173 (shy) 144ding174 (reg) 144ding175 (macr) 144ding176 (deg) 144ding177 (plusmn) 144ding178 (sup2) 144ding179 (sup3) 144ding180 (acute) 144ding181 (micro) 144ding182 (para) 144ding183 (middot) 144ding184 (cedil) 144ding185 (sup1) 144ding186 (ordm) 144ding187 (raquo) 144ding188 (frac14) 144ding189 (frac12) 144ding190 (frac34) 144ding191 (iquest) 144ding192 (Agrave) 144ding193 (Aacute) 144ding194 (Acirc) 144ding195 (Atilde) 144ding196 (Auml) 144ding197 (Aring) 144ding198 (AElig) 144ding199 (Ccedil) 144ding200 (Egrave) 144ding201 (Eacute) 144

ding202 (Ecirc) 144ding203 (Euml) 144ding204 (Igrave) 144ding205 (Iacute) 144ding206 (Icirc) 144ding207 (Iuml) 144ding208 (ETH) 144ding209 (Ntilde) 144ding210 (Ograve) 144ding211 (Oacute) 144ding212 (Ocirc) 139ding213 (Otilde) 139ding214 (Ouml) 139ding215 (times) 139ding216 (Oslash) 139ding217 (Ugrave) 139ding218 (Uacute) 139ding219 (Ucirc) 139ding220 (Uuml) 139ding221 (Yacute) 139ding222 (THORN) 139ding223 (szlig) 139ding224 (agrave) 139ding225 (aacute) 139ding226 (acirc) 139ding227 (atilde) 139ding228 (auml) 139ding229 (aring) 139ding230 (aelig) 139ding231 (ccedil) 139ding232 (egrave) 139ding233 (eacute) 139ding234 (ecirc) 139ding235 (euml) 139ding236 (igrave) 139ding237 (iacute) 139ding238 (icirc) 139ding239 (iuml) 139ding241 (ntilde) 139ding242 (ograve) 139ding243 (oacute) 139ding244 (ocirc) 139ding245 (otilde) 139ding246 (ouml) 139ding247 (divide) 139ding248 (oslash) 139ding249 (ugrave) 139ding250 (uacute) 139ding251 (ucirc) 139ding252 (uuml) 139ding253 (yacute) 139ding254 (thorn) 139dingasterisk () 126dingautolist 144dingbat (package) 141 142 152

213 227 247dingbat symbols 139ndash152dInnocey ( ) 197Diple (gt) 188

267

diple (gt) 188Diple (gtmiddotmiddot ) 188diple (gtmiddotmiddot ) 188dipole (119881) 138Dirac notation 103Direct (7) 133discount see textdiscount

discretionary hyphen 244Dish () 196disin (lt) 60disin (⋲) 61disjoint union 30disjquant (⨈) 48

disjquant (⨈

) 48disjunction see vee

displaystyle 232 233 235240

ditto marks see textquotedbl

div (divide) 31div (|) 35div (divide) 34div (divide) 33div (divide) 36divdot (˜) 33divideontimes (cedil) 33divideontimes (gt) 31divideontimes (Atilde) 35divideontimes (⋇) 34divideontimes (⋇) 36Divides ([) 122divides () 54divides (Ograve) 56DividesNot () 122division 31 112 114 119

long 112 114non-commutative 119polynomial 112

division times seedivideontimes

divorced see textdivorced

divslash () 34DJ (ETH) 15dj (đ) 15DL () 134dLaughey ( ) 197dlbari (() 19DLE () 135dlsh (ecirc) 76dlsh (oslash) 86DM () 134Dmesonminus (Yacute) 138Dmesonnull (THORN) 138Dmesonplus (Uuml) 138

dndtstile ( ) 63dNeutrey ( ) 197dNinja ( ) 197

dnststile ( ) 63

dntstile ( ) 63

dnttstile ( ) 63dNursey ( ) 197do not enter see noway

does not divide see nmid

does not exist see nexists

does not imply 232

Dohne (D ) 165Dohse Max 233dollar see textdollar

dollar sign see $

dominance see prec

negative see nprec

negative weak seenpreccurlyeq

strict see Prec

weak see preccurlyeq

Dontwash (Yacute) 182dot ( ) 111dot ( ˙ ) 110dot () 162dot accent (a or ) see accentsdot symbols 14 119ndash121 234DotArrow (package) 117 247

248dotarrow ( ≻ ) 117dotcong (cong) 58dotcup ( middotcup) 30 230dotdiv (acute) 33Doteq see doteqdot

Doteq (≑) 58Doteq (≑) 55Doteq (≑) 61 62doteq () 52doteq () 60doteq (≐) 58doteq (≐) 55doteq (≐) 61doteqdot (+) 52doteqdot (Ucirc) 60doteqdot (≑) 58doteqdot (≑) 56doteqdot (≑) 62dotequiv (⩧) 61dotless 119895 (120485)

text mode 21dotless 119894 (120484)

math mode 110 124text mode 21

dotless 119895 (120485)math mode 110 124

dotmedvert () 34dotminus () 60dotminus (∸) 34dotminus () 34dotminus (∸) 36dotplus (`) 33dotplus (u) 31dotplus (THORN) 35dotplus (∔) 34

dotplus (∔) 36dots 15dots ( ) 244dots (ellipses) 14 15 119ndash121

124 234dotsb (middot middot middot ) 119dotsb (⋯) 120dotsc ( ) 119dotseq (bdquo) 54dotsi (middot middot middot ) 119dotsim () 60dotsim (⩪) 61dotsint (

macr) 45

dotsint (L) 48dotsm (middot middot middot ) 119dotsm (⋯) 120dotsminusdots (∺) 58dotsminusdots (∺) 61dotso ( ) 119dotted arrows 117dotted union (cup) 239dottedcircle () 149dottedsquare () 149

dottedtilde (a) 23

dottimes (ˆ) 33dottimes () 35dottimes (⨰) 34dottimes (⨰) 36double 109double acute (a) see accentsdoublebar () 162doublebarvee (⩢) 36doublebarwedge (Z) 33doublebarwedge ([) 31doublebarwedge (Ograve) 35doublebarwedge (⩞) 34doublebarwedge (⩞) 36doublecap see Cap

doublecap () 33doublecap (⋒) 34 35doublecap (⋒) 34doublecap (⋒) 36doublecovbond (Aring) 138doublecross () 162doublecup see Cup

doublecup (]) 33doublecup (⋓) 34 35doublecup (⋓) 34doublecup (⋓) 36doublecurlyvee (7) 34doublecurlywedge (6) 34doubledot () 162doubleeye () 162doublefrown () 94doublefrowneq () 94doublepawns (d) 186doubleplus () 162doubleplus (⧺) 36

268

doublesharp ( ) 167doublesmile () 94doublesmileeq ($) 94doublesqcap (⩎) 34 35doublesqcap (⩎) 34doublesqcup (⩏) 34 35doublesqcup (⩏) 33doublestar () 162doublethumb (y) 164doubletilde (ã) 23doublevee (⩖) 34 35doublevee (⩔) 33doublewedge (⩕) 34 35doublewedge (⩕) 33DOWNarrow (L) 181Downarrow (dArr) 75 103Downarrow (dArr) 82

Downarrow (

EumlEumlEumlEumlEumldArr) 106Downarrow (dArr) 77Downarrow (dArr) 88

Downarrow (uArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArrdArr

) 107

downarrow 239downarrow (darr) 75 103

downarrow (

EgraveEgraveEgraveEgraveEgravedarr) 106downarrow (darr) 82downarrow (darr) 77downarrow (darr) 92

downarrow (darr) 107

downarrow (darr) 88downarrowbar (⤓) 88downarrowbarred (⤈) 88downarrowtail () 82downarrowtail () 77downAssert (⫧) 58downassert (⫟) 58downbkarrow () 82downblackarrow (0) 86downblackspoon (o) 94downbow (mdash) 164downbracketfill 235downdasharrow () 86downdasharrow () 88downdownarrows (Oacute) 76downdownarrows () 75downdownarrows () 86downdownarrows () 82downdownarrows () 77downdownarrows () 88downdownharpoons (Ucirc) 77Downes Michael J 96 249downfilledspoon (s) 93downfishtail (⥿) 61downfootline () 55downfree (⫝) 55downharpoonccw () 80

downharpooncw () 80downharpoonleft (aring) 77downharpoonleft () 76downharpoonleft () 87downharpoonleft () 85downharpoonleft () 90downharpoonleftbar (⥙) 90downharpoonright (ccedil) 77downharpoonright () 76downharpoonright () 87downharpoonright () 85downharpoonright () 90downharpoonrightbar (⥕) 90downharpoonsleftright (⥥) 90downlcurvearrow (⤸) 82downleftcurvedarrow (cent) 82downlsquigarrow () 82downlsquigarrow (pound) 77Downmapsto () 82downmapsto () 82downmapsto () 77downModels (oacute) 55downmodels (iuml) 58downmodels (atilde) 55downp (u) 25downparenthfill 235downpitchfork (w) 95downpitchfork (⫛) 93downpropto () 55downrcurvearrow (⤹) 82downrightcurvedarrow (⤵) 82downrightcurvedarrow (⤵) 88downrsquigarrow () 82downrsquigarrow (laquo) 77downslice (Acirc) 38downspoon (⫰) 94downspoon (⫰) 93downt (m) 25downtherefore (∵) 120downtherefore (∵) 33 120downtouparrow (szlig) 76downtouparrow (euml) 86downtriangleleftblack (⧨)

148downtrianglerightblack (⧩)

148downuparrows (Œ) 76downuparrows (⇵) 82downuparrows () 77downuparrows (⇵) 88downupcurvearrow (sect) 82downupharpoons (euml) 77downupharpoons (⥯) 85downupharpoons (⥯) 80downupharpoonsleftright (⥯)

85downupharpoonsleftright (⥯)

90downupsquigarrow () 82

downVDash (ucirc) 58downVdash () 58downVdash () 55downvDash (⫪) 58downvdash (⊤) 58downvdash (⊤) 55downwavearrow () 82downwhitearrow () 86downwhitearrow () 88downY () 34downY (+) 33downzigzagarrow () 86

downzigzagarrow () 82downzigzagarrow () 88Doyle Sir Arthur Conan 220dozenal (package) 122 185 247

248dozenal (base 12)


dprime (Prime) 122DQ () 134dracma (Δ) 27draftingarrow () 88drbkarow (⤐) 88Dreizack () 196droang ( ) 111drsh (euml) 76drsh (ugrave) 86

drumclef (M) 165drWalley ( ) 197DS (SS) 165Ds (ss) 165

ds () 164dSadey ( ) 197dsaeronautical (a) 189dsagricultural (G) 189dsarchitectural (A) 189dsbiological (B) 189DSC (2) 133dschemical (C) 189dscommercial (c) 189

dsdtstile ( ) 63dSey ( ) 197dsfont (package) 128 247dsheraldical (H) 189dsjuridical (J) 189dsliterary (L) 189dsmathematical (M) 189dsmedical (m) 189dSmiley ( ) 197dsmilitary (X) 189dsol (⧶) 36dsrailways (R) 189

dsststile ( ) 63dstechnical (T) 189

269

dststile ( ) 63

dsttstile ( ) 63dsub (⩤) 40

dtdtstile ( ) 63

dtimes (⨲) 34 35dtimes (_) 37dtimes () 33dTongey ( ) 197

dtststile ( ) 63

dttstile ( ) 63

dtttstile ( ) 63

DU () 134dualmap (⧟) 94dualmap (⧟) 61

duevolte ( N) 164duodecimal (base 12)


DVI 28 134 238dvi files 244dVomey ( ) 197dWalley ( ) 197dWinkey ( ) 197dXey ( ) 197dz () 19

EE (E) 162e (esvect package option) 115e (e) 101e (E) 122e (e) 162120576-TEX 103Earth (C) 132Earth (Ecirc) 132Earth (Ntilde) 133earth () 131eastcross () 143EastPoint (rsquo) 133Ecommerce () 26eggbeater ( ) 196egsdot (⪘) 71

EightAsterisk (Z) 145

EightFlowerPetal (S) 145

EightFlowerPetalRemoved (Y) 145

eighth note see musical symbols

eighthNote ( ) 166

eighthnote () 163eighthnote () 163eighthnote () 163

eighthNoteDotted ( ) 166

eighthNoteDottedDouble ( )

166

eighthNoteDottedDoubleDown

( ) 166

eighthNoteDottedDown ( ) 166

eighthNoteDown ( ) 166

EightStar (H) 145

EightStarBold (I) 145

EightStarConvex (F) 145

EightStarTaper (E) 145ejective (e) 19electrical impulse 130electrical symbols 130electromotive force 131electron (119886) 138element of see in

elements 133elinters () 126ell (ℓ) 100ell (l) 101

Ellipse (b) 150ellipses (dots) 14 15 119ndash121

124 234ellipses (ovals) 150 173ndash178

204ndash206 210ndash211 222EllipseShadow (e) 150

EllipseSolid (c) 150elsdot (⪗) 71EM () 135Email (k) 136EmailCT (z) 136emf (package) 131 247 248emf (E) 131emf (E) 131emf (E) 131emf (E) 131emf (ℰ) 131emf (E) 131

emf (E) 131emf (E) 131emf (ℰ) 131emgma (M) 20Emmentaler (font) 168emoticons 196 197

empty () 188empty set 123ndash125emptyset (empty) 124emptyset (empty) 125emptyset (empty) 125emptyset (empty) 123emptysetoarr (⦳) 123emptysetoarrl (⦴) 123emptysetobar (⦱) 123emptysetocirc (⦲) 123EN () 134enclosecircle (⃝) 148

enclosediamond (⃟) 148enclosesquare (⃞) 148

enclosetriangle (⃤) 148

End ( End ) 134

end of proof 124ending (L) 186eng (8) 19engineering symbols 126 130

136engma (n) 20enleadertwodots () 120ENQ () 135entails see models

Enter ( Enter ) 134

enumerate 185

Envelope () 152envelopes 152 192enya (N) 20

EOafter (sect) 160

EOandThen (Ş) 160

EOAppear (Ť) 160

EOBeardMask (t) 160

EOBedeck (ą) 160

EOBlood (u) 160

EObrace (ć) 160

EObuilding (AElig) 160

EOBundle (v) 160

EOChop (w) 160

EOChronI (Ř) 160EOCloth (x) 160

EODealWith (r) 160

EODeer (Ţ) 160

EOeat (Ű) 160

EOflint (đ) 160

EOflower (č) 160

EOFold (Auml) 160

EOGod (ď) 160

EOGoUp (Acirc) 160

EOgovernor (ę) 160

EOGuise (z) 160

EOHallow (iexcl) 160EOi () 161EOii () 161EOiii () 161EOiv () 161EOix (˘) 161

EOja (V) 160

EOjaguar (ĺ) 160

EOje (U) 160

270

EOJI (-) 160

EOji (T) 160

EOjo (Y) 161

EOju (X) 161

EOkak (m) 161

EOke (D) 161

EOki (C) 161

EOkij (Ź) 161

EOKing (Ă) 161

EOknottedCloth (ł) 161

EOknottedClothStraps (ń) 161

EOko (H) 161

EOku (G) 161

EOkuu (E) 161

EOLetBlood (Atilde) 161

EOloinCloth (Ą) 161

EOlongLipII (Ć) 161

EOLord (ň) 161

EOLose (Č) 161

EOma (]) 161

EOmacaw (ŋ) 161

EOmacawI (ŕ) 161

EOme ([) 161

EOmexNew (Ď) 161

EOmi (Z) 161

EOMiddle (Ě) 160

EOmonster (ő) 160

EOMountain (ě) 160

EOmuu () 160

EOna (b) 160

EOne (lsquo) 160

EOni (^) 160

EOnow (š) 160

EOnu (c) 160

EOnuu (a) 160

EOofficerI () 160

EOofficerII (|) 160

EOofficerIII () 160

EOofficerIV (~) 160

EOpa (3) 160

EOpak (n) 160

EOPatron (Ś) 160

EOPatronII (Ů) 160

EOpe (1) 160

EOpenis (ť) 160

EOpi (0) 160

EOPierce (Ÿ) 160

EOPlant (Ę) 160

EOPlay (Ğ) 160

EOpo (6) 160

EOpriest (ţ) 160

EOPrince (Ĺ) 160

EOpu (5) 160

EOpuu (2) 161

EOpuuk (o) 161

EORain (Auml) 161

EOSa (L) 161

EOsa (R) 161

EOsacrifice (Aring) 161

EOSaw (y) 161

EOScorpius (q) 161

EOset (Acirc) 161

EOSi (I) 161

EOsi (O) 161

EOsing (ů) 161

EOSini (ľ) 161

EOskin (yuml) 161

EOSky (Ľ) 161

EOskyAnimal (ś) 161

EOskyPillar (Ł) 161

EOsnake (Ż) 161

EOSo (N) 161

EOSpan () 161

EOSprinkle (Ń) 161

EOstar (Ž) 161

EOStarWarrior (ź) 160

EOstarWarrior (Ň) 161

EOstep (ű) 160

EOSu (M) 160

EOsu (S) 160

EOsun (ž) 160

EOSuu (K) 160

EOsuu (Q) 160EOT () 135

EOta () 160EOte (8) 160

EOthrone (ż) 160

EOti (7) 160

EOTime (ĳ) 160

EOtime (Ĳ) 160

EOTitle (pound) 160

EOTitleII (Ŋ) 160

EOTitleIV (ş) 160EOto (lt) 160

EOtu () 160

EOtuki (Ő) 160

EOtukpa (İ) 160

EOturtle (Agrave) 160EOtuu (9) 160

EOtza () 160

EOtze (gt) 160

EOtzetze (Ŕ) 160

EOtzi (=) 160

EOtzu (B) 160

EOtzuu () 160

EOundef () 161EOv (uml) 161

EOvarBeardMask (ă) 161EOvarja (W) 161

EOvarji () 161

EOvarki () 161EOvarkuu (F) 161EOvarni (_) 161EOvarpa (4) 161

EOvarSi (J) 161EOvarsi (P) 161

EOvartza (A) 161EOvarwuu (g) 161EOvarYear (Atilde) 161EOvi (˝) 161EOvii (˚) 161EOviii (ˇ) 161

EOwa (h) 161

EOwe (e) 161

EOwi (d) 161

EOwo (i) 161

271

EOwuu (f) 161EOx (macr) 161

EOxi (˙) 161

EOxii (cedil) 161

EOxiii (˛) 161

EOxiv (sbquo) 161

EOxix (bdquo) 161

EOxv (lsaquo) 161

EOxvi (rsaquo) 161

EOxvii (ldquo) 161

EOxviii (rdquo) 161EOxx (laquo) 161

EOya (l) 161

EOyaj (p) 161

EOye (j) 161EOYear (s) 161EOyuu (k) 161

EOzero () 161EP () 134eparsl (⧣) 61Epi-Olmec script 160ndash161epiolmec (package) 160 161

247 248epsdice (package) 184 247 248epsdice ( ) 184epsi () 20Epsilon (E) 97epsilon (120598) 97epsilonup (ε) 98eqbump () 55eqbumped (permil) 54eqbumped () 60eqcirc (ff) 54eqcirc (P) 52eqcirc (Uacute) 60eqcirc (≖) 58eqcirc (≖) 55eqcirc (≖) 62Eqcolon (I) 53Eqcolon (minus) 62eqcolon (mdash) 54eqcolon (minus) 62eqcolon (E) 53eqcolon (≕) 58eqcolon (≕) 62eqdef (≝) 62eqdot (⩦) 58eqdot (⩦) 55eqdot (⩦) 62eqeq (⩵) 62eqeqeq (⩶) 62eqfrown () 94eqgtr (⋝) 71eqleftrightarrow (divide) 86

eqless (⋜) 71Eqqcolon (G) 53Eqqcolon (=) 62eqqcolon (=) 62eqqcolon (C) 53eqqcolon (≕) 58eqqgtr (⪚) 71eqqless (⪙) 71eqqplus (⩱) 36eqqsim (⩳) 62eqqslantgtr (⪜) 71eqqslantless (⪛) 71eqsim (h) 53eqsim (Ograve) 60eqsim (≂) 58eqsim (≂) 55eqsim (≂) 62eqslantgtr (ů) 68eqslantgtr (1) 67eqslantgtr (Euml) 71eqslantgtr (⪖) 70eqslantgtr (⪖) 69eqslantgtr (⪖) 71eqslantless (ű) 68eqslantless (0) 67eqslantless (Ecirc) 71eqslantless (⪕) 70eqslantless (⪕) 69eqslantless (⪕) 71eqsmile () 94equal (=) 58equal (=) 55equal (j) 186equalclosed (Yacute) 55equalleftarrow (⭀) 88equalparallel (ocirc) 60equalparallel (⋕) 62equalrightarrow (⥱) 88equalscolon (=) 64equalscoloncolon (=) 64equalsfill 30 234 235equidecomposable 230equilibrium see

rightleftharpoons

Equiv (≣) 62equiv (equiv) 30 52equiv (equiv) 57equiv (equiv) 55equiv (equiv) 62Equivalence () 122equivalence see

equiv leftrightarrowand threesim

equivclosed (THORN) 55equivDD (⩸) 62equivVert (⩨) 62equivVvert (⩩) 62eqvparsl (⧥) 61er () 19

Eros () 133errbarblackcircle (⧳) 148errbarblackdiamond (⧱) 148errbarblacksquare (⧯) 148errbarcircle (⧲) 148errbardiamond (⧰) 148errbarsquare (⧮) 148errorsym (119902) 138es-zet see ss

ESC () 135Esc ( Esc ) 134

escapable characters 14esh (s) 20esh (M) 19esint (package) 45 247esrelation (package) 92 118 247Estatically (J) 136estimated see textestimated

Estonia () 194esvect (package) 115 247Eta (H) 97eta (120578) 97etameson (egrave) 138etamesonprime (eacute) 138etaup (η) 98ETB () 135eth (eth) 124eth (d) 20eth (eth) 126eth () 19ETX () 135eufrak (package) 128Euler Roman 98Eulerconst (ℇ) 101EUR (e ) 26EURcr (d) 26EURdig (D) 26EURhv (c) 26

Euro (yuml) 26euro 27euro signs 26 27

blackboard bold 129eurologo (() 27European countries 194eurosym (package) 27 247EURtm (e) 26euscript (package) 128 247evaluated at see vert

evil spirits 191exciton (119894) 138Exclam () 126exclusive disjunction

see nleftrightarrow

nequiv and oplus

exclusive or 229exists (D) 100exists (exist) 100exists (exist) 101

272

exists (exist) 100exists (exist) 101exp (exp) 96experimentalsym (119907) 137Explosionsafe (`) 136extarrows (package) 117 247extensible accents 112ndash116 119

235ndash236extensible arrows 112ndash118extensible braces 112ndash115extensible symbols creating 234ndash

236extensible tildes 112 115extension characters 95 96externalsym (120549) 137extpfeil (package) 117 247extraipa (package) 23 247eye () 162eye (E) 152EyesDollar (brvbar) 26

FF (F) 162f (esvect package option) 115f (a) 21f (f) 162fa (iquest) 199faAdjust (egrave) 199faAdn (eacute) 199faAlignCenter (ecirc) 199faAlignJustify (euml) 199faAlignLeft (igrave) 199faAlignRight (iacute) 199faAmazon (Agrave) 199faAmbulance (icirc) 199faAnchor (iuml) 199faAndroid (eth) 199faAngellist (h) 199faAngleDoubleDown (D) 199faAngleDoubleLeft (E) 199faAngleDoubleRight (F) 199faAngleDoubleUp (G) 199faAngleDown (ntilde) 199faAngleLeft (ograve) 199faAngleRight (oacute) 199faAngleUp (ocirc) 199faApple () 199faArchive (ouml) 199faAreaChart (^) 199faArrowCircleDown () 140faArrowCircleLeft (() 140faArrowCircleODown (H) 140faArrowCircleOLeft (divide) 140faArrowCircleORight () 140faArrowCircleOUp (d) 140faArrowCircleRight ()) 140faArrowCircleUp () 140faArrowDown (oslash) 140faArrowLeft (ugrave) 140

faArrowRight (uacute) 140

faArrows (Egrave) 140faArrowsAlt () 140faArrowsH (ograve) 140

faArrowsV (ocirc) 140faArrowUp (ucirc) 140faAsterisk () 199faAt ([) 199faAutomobile ()) 202faBackward (yacute) 199faBalanceScale (curren) 199faBan (thorn) 199faBank () 202faBarChart (yuml) 199faBarChartO (yuml) 202faBarcode () 199faBars (iacute) 199faBattery0 () 202faBattery1 () 202faBattery2 () 202faBattery3 () 202faBattery4 () 202faBatteryEmpty () 199faBatteryFull () 199faBatteryHalf () 199faBatteryQuarter () 199faBatteryThreeQuarters ()

199faBed () 199faBeer () 199faBehance ($) 199faBehanceSquare () 199

faBell () 199

faBellO () 199faBellSlash (W) 199faBellSlashO (X) 199faBicycle (e) 199faBinoculars (I) 199faBirthdayCake (]) 199faBitbucket ([) 200faBitbucketSquare () 200faBitcoin () 26faBlackTie (f) 200faBold () 200faBolt () 200faBomb (F) 200faBook () 200faBookmark () 200faBookmarkO () 200

faBriefcase () 200faBtc () 26faBtc () 26faBug (13) 200faBuilding () 200

faBuildingO () 200faBullhorn () 200faBullseye () 200faBus (f) 200

faBuysellads (l) 200faCab () 202faCalculator (P) 200

faCalendar () 200faCalendarCheckO (Auml) 200faCalendarMinusO (Acirc) 200

faCalendarO () 200faCalendarPlusO (Aacute) 200faCalendarTimesO (Atilde) 200

faCamera () 200faCameraRetro () 200faCar ()) 200faCaretDown () 200faCaretLeft () 200faCaretRight () 200faCaretSquareODown (4) 200faCaretSquareOLeft () 200faCaretSquareORight () 200faCaretSquareOUp (5) 200faCaretUp () 200faCartArrowDown (t) 200faCartPlus (s) 200faCc (i) 200faCcAmex (_) 200faCcDinersClub (cent) 200faCcDiscover (T) 200faCcJcb (iexcl) 200faCcMastercard (S) 200faCcPaypal (U) 200faCcStripe (V) 200faCcVisa () 200faCertificate () 200faces 126 135 153 181 182

189 191 196ndash202 206ndash209faChain (reg) 202

faChainBroken (a) 200faCheck (Euml) 144faCheckCircle (Iacute) 144faCheckCircleO (Igrave) 144faCheckSquare () 144faCheckSquareO () 144faChevronCircleDown () 141faChevronCircleLeft () 141faChevronCircleRight () 141faChevronCircleUp ($) 141faChevronDown () 141faChevronLeft () 141faChevronRight ( ) 141faChevronUp () 141faChild ( ) 200faChrome (sup1) 201faCircle () 151faCircleO (+) 151faCircleONotch () 151faCircleThin (A) 151

faClipboard (ETH) 201faClockO () 201faClone (pound) 201

273

faClose (eacute) 144faCloud () 201faCloudDownload (-) 201faCloudUpload () 201faCny (pound) 26faCode () 201faCodeFork (0) 201faCodepen (8) 201faCoffee (1) 201faCog (2) 201faCogs (3) 201faColumns (6) 201faComment (7) 201faCommenting (Ecirc) 201faCommentingO (Euml) 201faCommentO (8) 201faComments (9) 201faCommentsO () 201faCompass () 201faCompress (oacute) 201faConnectdevelop (m) 201faContao (frac34) 201Facontent ( ) 121

faCopy (lt) 202faCopyright (Z) 27faCreativeCommons (sup3) 27faCreditCard (=) 201faCrop (gt) 201faCrosshairs (ucirc) 201faCss3 () 201faCube () 201faCubes () 201faCut () 202

faCutlery () 201faDashboard (A) 202

faDashcube (a) 201

faDatabase () 201faDedent () 202faDelicious () 201

faDesktop (B) 201faDeviantart (-) 201faDiamond (u) 201faDigg () 201

faDollar (f) 26faDotCircleO (C) 151

faDownload (I) 201faDribbble (J) 201faDropbox (K) 201faDrupal () 201faEdit (L) 202faEject (N) 201faEllipsisH (O) 201faEllipsisV (P) 201

faEmpire () 201faEnvelope (R) 201faEnvelopeO (Q) 201faEnvelopeSquare () 201faEraser () 202

faEur (S) 26faEur (S) 26faEuro (S) 26faExchange (T) 202faExclamation (U) 202faExclamationCircle (V) 202

faExclamationTriangle (o) 202

faExpand (ntilde) 202faExpeditedssl () 202

faExternalLink (W) 202faExternalLinkSquare () 202faEye (Y) 202faEyedropper () 202faEyeSlash (X) 202

faFacebook (g) 202

faFacebookF (g) 202faFacebookOfficial () 202faFacebookSquare (h) 202faFastBackward (j) 202faFastForward (k) 202faFax () 202faFeed (oslash) 202faFemale () 199faFighterJet (m) 199

faFile (n) 199faFileArchiveO (3) 199faFileAudioO (4) 199faFileCodeO (6) 199faFileExcelO (0) 199faFileImageO (2) 199faFileMovieO (5) 202

faFileO (o) 199

faFilePdfO () 199faFilePhotoO (2) 202faFilePictureO (2) 202faFilePowerpointO (1) 199

faFilesO (lt) 199faFileSoundO (4) 202

faFileText (p) 199

faFileTextO (q) 199faFileVideoO (5) 199faFileWordO () 199faFileZipO (3) 202faFilm (r) 199faFilter (s) 199

faFire (t) 199faFireExtinguisher (u) 199faFirefox (ordm) 199faFlag (v) 199faFlagCheckered (x) 199faFlagO (w) 199faFlash () 202faFlask () 199faFlickr (y) 199faFloppyO (uacute) 199faFolder (z) 199faFolderO () 199

faFolderOpen (|) 199faFolderOpenO () 199faFont (~) 199faFonticons () 199faForumbee (n) 199faForward () 199

faFoursquare () 199faFrownO () 199faFutbolO (G) 199faGamepad () 199faGavel (copy) 199faGbp () 26

faGe () 202faGear (2) 202faGears (3) 202faGenderless () 136faGetPocket (para) 199faGg (c) 199

faGgCircle (d) 199faGift () 199faGit (lt) 199faGithub () 199faGithubAlt () 199faGithubSquare () 200faGitSquare () 200faGittip () 202faGlass () 200faGlobe () 200faGoogle () 200faGooglePlus () 200faGooglePlusSquare () 200faGoogleWallet (R) 200faGraduationCap () 200faGratipay () 200

faGroup () 202faHackerNews (=) 200faHandGrabO (ordf) 142faHandLizardO (shy) 142

faHandODown () 142faHandOLeft () 142faHandORight () 142

faHandOUp () 142faHandPaperO (laquo) 142faHandPaperO (laquo) 142faHandPeaceO (deg) 142faHandPointerO (macr) 142faHandRockO (ordf) 142faHandRockO (ordf) 142faHandScissorsO (not) 142faHandSpockO (reg) 142faHandStopO (laquo) 142faHddO () 200faHeader (B) 200faHeadphones () 200faHeart (hearts) 200faHeartbeat (z) 200faHeartO () 200faHistory () 200

274

faHome () 200

faHospitalO () 200faHotel () 202faHourglass (copy) 200faHourglassEnd (uml) 200faHourglassHalf (sect) 200faHourglassO (yen) 200faHourglassStart (brvbar) 200faHouzz (Igrave) 200faHSquare () 200faHtml5 () 200faICursor () 200faIls (j) 26faIls (j) 26faImage (Otilde) 202faInbox () 200faIndent () 200faIndustry (Aring) 200faInfo () 200faInfoCircle () 200faInr ( ) 26faInr ( ) 26faInstagram (iexcl) 200faInstitution () 202faInternetExplorer (frac14) 200faIntersex () 136faIoxhost (g) 200faItalic (cent) 200faJoomla () 200faJpy (pound) 26faJpy (pound) 26faJsfiddle (9) 200faKey (curren) 200faKeyboardO (yen) 200faKrw (brvbar) 26faKrw (brvbar) 26

faLanguage (^) 200faLaptop (sect) 200faLastfm (a) 200faLastfmSquare (b) 200faLeaf (uml) 200faLeanpub (b) 200faLegal (copy) 202faLemonO (ordf) 200faLevelDown (laquo) 201faLevelUp (not) 201faLifeBouy () 202faLifeRing () 201faLifeSaver () 202faLightbulbO (shy) 201faLineChart (`) 201faLink (reg) 201faLinkedin (macr) 201faLinkedinSquare (deg) 201

faLinux (plusmn) 201faList (sup2) 201faListAlt (sup3) 201faListOl (Icirc) 201

faListUl (9) 201fallingdotseq (raquo) 54fallingdotseq () 52fallingdotseq (Yacute) 60fallingdotseq (≒) 57fallingdotseq (≒) 55fallingdotseq (≒) 61FallingEdge () 130faLocationArrow (acute) 201faLock (micro) 201

faLongArrowDown (para) 140faLongArrowLeft (middot) 140faLongArrowRight (cedil) 140faLongArrowUp (sup1) 140falsum see bot

faMagic (ordm) 201faMagnet (raquo) 201faMailForward (thorn) 202faMailReply (iuml) 202faMailReplyAll (eth) 202faMale () 201faMap (Eacute) 201faMapMarker (frac12) 201faMapO (Egrave) 201faMapPin (AElig) 201faMapSigns (Ccedil) 201faMars () 132 136faMarsDouble () 136faMarsStroke () 136faMarsStrokeH () 136faMarsStrokeV () 136faMaxcdn (frac34) 201faMeanpath (k) 201faMedium () 201faMedkit (iquest) 201faMehO (Agrave) 201faMercury (|) 132

faMicrophone (Aacute) 201

faMicrophoneSlash (Acirc) 201faMinus (minus) 201faMinusCircle (Auml) 201faMinusSquare (Aring) 201faMinusSquareO () 201faMobile (AElig) 201faMobilePhone (AElig) 202faMoney (Ccedil) 201faMoonO () 132faMortarBoard () 202faMotorcycle (x) 201faMousePointer () 201faMusic (Eacute) 201faNavicon (iacute) 202Fancontent ( ) 121fancy borders 209ndash217faNeuter () 136faNewspaperO (N) 201Fanncontent ( ) 121

Fannquant ( ) 121

Fannquantn ( ) 121

Fannquantnn ( ) 121Fanoven () 196

Fanquant ( ) 121

Fanquantn ( ) 121

Fanquantnn ( ) 121faObjectGroup () 201faObjectUngroup () 201

faOdnoklassniki (e) 201faOdnoklassnikiSquare (micro)

201faOpencart () 201faOpenid () 201faOpera (raquo) 201faOptinMonster () 201faOutdent () 201faPagelines () 202

faPaintBrush (`) 202faPaperclip (Iuml) 202faPaperPlane (gt) 202faPaperPlaneO () 202faParagraph (C) 202

faPaste (ETH) 202faPause (Ntilde) 202faPaw () 202faPaypal (Q) 202faPencil (Ograve) 141faPencilSquare (M) 141faPencilSquareO (L) 141faPhone (Oacute) 202faPhoneSquare (Ocirc) 202faPhoto (Otilde) 202faPictureO (Otilde) 202faPieChart (_) 202

faPiedPiper () 202faPiedPiperAlt () 202faPinterest (Ouml) 202faPinterestP () 202faPinterestSquare (times) 202faPlane (Oslash) 199faPlay (Ugrave) 199faPlayCircle (Ucirc) 199faPlayCircleO (Uacute) 199faPlug (J) 199faPlus (+) 199faPlusCircle (Yacute) 199faPlusSquare (Z) 199faPlusSquareO (THORN) 199

faPowerOff (Ecirc) 199faPrint (szlig) 199

faPuzzlePiece (aacute) 199

faQq () 199faQrcode (acirc) 199

Faquant ( ) 121

Faquantn ( ) 121

Faquantnn ( ) 121faQuestion () 199

275

faQuestionCircle (auml) 199faQuoteLeft (aring) 199faQuoteRight (aelig) 199

faRa () 202faRandom (ccedil) 199

faRebel () 199faRecycle (() 199

faReddit () 199faRedditSquare () 199faRefresh (egrave) 199faRegistered (sup2) 27faRemove (eacute) 144faRenren (igrave) 199faReorder (iacute) 202faRepeat (icirc) 140faRepeat (icirc) 140faReply (iuml) 199faReplyAll (eth) 199faRetweet (otilde) 199faRmb (pound) 26faRoad (ouml) 199faRocket (divide) 199faRotateLeft (lt) 140faRotateRight (icirc) 140faRouble (ugrave) 26faRss (oslash) 199faRssSquare () 199faRub (ugrave) 26faRub (ugrave) 26faRuble (ugrave) 26faRupee ( ) 26faSafari (cedil) 199faSave (uacute) 202faScissors () 199faSearch (uuml) 199faSearchMinus (y) 199faSearchPlus (x) 199faSellsy (o) 199faSend (gt) 202faSendO () 202faServer () 199faShare (thorn) 199faShareAlt () 199faShareAltSquare (E) 199faShareSquare (yuml) 199

faShareSquareO (yacute) 199faShekel (j) 26faSheqel (j) 26faShield () 199faShip (v) 199faShirtsinbulk (p) 199faShoppingCart () 200faSignal () 200faSignIn () 200faSignOut () 200faSimplybuilt (q) 200faSitemap () 200faSkyatlas (r) 200

faSkype () 200faSlack () 200faSliders (D) 200faSlideshare (K) 200faSmileO () 200faSoccerBallO (G) 202faSort () 200

faSortAlphaAsc () 200faSortAlphaDesc () 200

faSortAmountAsc () 200

faSortAmountDesc () 200faSortAsc () 200faSortDesc () 200faSortDown () 202

faSortNumericAsc (13) 200

faSortNumericDesc () 200faSortUp () 202faSoundcloud () 200faSpaceShuttle () 200

faSpinner () 200faSpoon () 200faSpotify () 200faSquare () 151faSquareO () 151faStackExchange () 200

faStackOverflow () 200faStar () 146faStarHalf () 146faStarHalfEmpty () 146faStarHalfFull () 146faStarHalfO () 146faStarHalfO () 146faStarO () 146faSteam (amp) 200faSteamSquare () 200faStepBackward () 200faStepForward () 200faStethoscope () 200faStickyNote () 200faStickyNoteO ( ) 200faStop () 200faStreetView (y) 200faStrikethrough () 200faStumbleupon (]) 200faStumbleuponCircle () 200faSubscript () 200faSubway () 200faSuitcase () 200

faSunO () 132faSuperscript ( ) 200faSupport () 202faTable () 200faTablet () 200faTachometer (A) 200faTag () 200faTags ($) 200faTasks () 201faTaxi () 201

fatbslash ()) 32fatbslash () 60faTelevision (frac12) 201

faTencentWeibo () 201faTerminal (amp) 201faTextHeight () 201faTextWidth (() 201faTh ()) 201faThLarge () 201faThList (+) 201faThumbsDown () 142faThumbsODown () 142

faThumbsOUp (-) 142faThumbsUp () 142faThumbTack (agrave) 201faTicket () 201faTimes (eacute) 144faTimes (eacute) 144faTimesCircle (euml) 144faTimesCircleO (ecirc) 144faTint (0) 201faToggleDown (4) 202faToggleLeft () 202faToggleOff (c) 201faToggleOn (d) 201faToggleRight () 202faToggleUp (5) 202faTrademark (plusmn) 27faTrain () 201faTransgender () 136faTransgender () 136faTransgenderAlt (~) 136faTrash (Y) 201faTrashO (1) 201faTree (+) 201faTrello (2) 201faTripadvisor (acute) 201faTrophy (3) 201faTruck (4) 201faTry (13) 26faTry (13) 26fatsemi () 32fatsemi (yacute) 35fatslash (() 32fatslash (gt) 60faTty (H) 201

faTumblr (5) 201faTumblrSquare (6) 201faTurkishLira (13) 26faTv (frac12) 202faTwitch (L) 201faTwitter (7) 201faTwitterSquare (8) 201faUmbrella () 201faUnderline () 201faUndo (lt) 140faUndo (lt) 140faUniversity () 201

276

faUnlink (a) 202faUnlock (b) 201

faUnlockAlt (c) 201faUnsorted () 202faUpload (e) 201

faUsd (f) 26

faUsd (f) 26faUser (g) 201faUserMd (h) 201faUserPlus () 201

faUsers () 201faUserSecret (w) 201faUserTimes () 201

faVenus () 132 136faVenusDouble () 136faVenusMars () 136faViacoin () 26faVideoCamera (i) 201faVimeo (Iacute) 201faVimeoSquare (j) 201faVine (7) 201faVk (k) 201faVolumeDown (l) 201faVolumeOff (m) 201faVolumeUp (n) 201

faWarning (o) 202faWechat () 202faWeibo (p) 202faWeixin () 202faWhatsapp () 202faWheelchair () 202faWifi (O) 202faWikipediaW (middot) 202faWindows (q) 202faWon (brvbar) 26faWordpress () 202faWrench (r) 202FAX (u) 136fax (t) 136faXing (s) 202faXingSquare (t) 202Faxmachine (v) 136faYahoo () 202faYc () 202faYCombinator () 202faYCombinatorSquare (=) 202faYcSquare (=) 202faYelp (M) 202faYen (pound) 26

faYoutube (u) 202faYoutubePlay (v) 202faYoutubeSquare (w) 202fbowtie (⧓) 61fc (package) 16 21fcdice ( ) 184fclfont (package) 247fcmp (⨾) 36Fcontent ( ) 121

fcscore ( ) 185fd files 12 238 245fdiagovnearrow (⤯) 88fdiagovrdiag (⤬) 126fdsymbol (package) 34 35 38

39 47 48 57ndash59 66 70 7481ndash85 94 95 99 101 106107 111 113 120 123 125147 151 163 247

feet see prime andtextquotesingle

FEMALE () 136Female (~) 136female 18 131ndash133 136

197ndash202 206ndash209female () 136female () 136FemaleFemale () 136FemaleMale () 136

Ferli (aa) 165

fermata 170fermata ( ) 168

fermatadown (Q) 164

fermataup (P) 164

Fermi (aa

) 165fermiDistrib (119888) 137fermion (120548) 137fermions 137ndash138feyn (package) 137 247 248Feynman slashed character nota-

tion 231Feynman-diagram symbols 137feyna (⊣) 137feync (rfloor) 137feynfd (lceil) 137feynflS (≀) 137feynfl () 137feynfs () 137feynfu (rceil) 137

feynfv (lfloor) 137feynf () 137

feyng1 (⨿) 137feyngd (⊑) 137

feynglB (para) 137feynglS (clubs) 137feynglu (Dagger) 137

feyngl (dagger) 137feyngu (⊓) 137

feyngvs (int) 137

feyngv () 137feyng () 137feynhd (|) 137feynhs (119974) 137feynhu (⟩) 137feynh (⟨) 137feynms (⊘) 137

feynm () 137

feynP (119979) 137

feynp (radic) 137

feynx (S) 137

FF () 135

fge (package) 91 102 111 122126 247 248

fgeA (A) 102

fgebackslash (K) 126

fgebaracute (M) 126

fgebarcap (O) 126

fgec (c) 102

fgecap (S) 126

fgecapbar (Q) 126

fgecup (N) 126

fgecupacute (R) 126

fgecupbar (P) 126

fged (p) 102

fgee (e) 102

fgeeszett (ı) 102

fgeeta (rdquo) 102

fgeF (F) 102

fgef (f) 102

fgeinfty (i) 126

fgelangle (h) 126

fgelb 102

fgelb (rdquo) 102

fgeleftB (D) 102

fgeleftC (C) 102

fgeN (rdquo) 102

fgeoverU (rdquo) 102

fgerightarrow () 91

fgerightB (B) 102

fges (s) 102

fgestruckone (1) 122

fgestruckzero (0) 122

fgeU (U) 102

fgeuparrow () 91

fgeupbracket (L) 126

field (F) see alphabets math

file (H) 186

file extensions

dvi 244

fd 12 238 245

mf 12 204 236

otf 163

pdf 244

sty 12

tex 244 245

tfm 12 204 226 245

file symbols 199ndash202

FilledBigCircle (U) 149

FilledBigDiamondshape (V) 150

FilledBigSquare (P) 150

FilledBigTriangleDown (S) 150

277

FilledBigTriangleLeft (R) 150

FilledBigTriangleRight (T) 149

FilledBigTriangleUp (Q) 149

FilledCircle (e) 149FilledCloud ( ) 183filleddiamond () 38

FilledDiamondShadowA () 149

FilledDiamondShadowC () 149

FilledDiamondshape (f) 149

FilledHut () 183filledlargestar () 147filledlozenge (⧫) 147filledmedlozenge (⧫) 147filledmedsquare (∎) 38filledmedtriangledown ()

38 73filledmedtriangleleft ()

38 73filledmedtriangleright ()

38 73filledmedtriangleup () 38

73FilledRainCloud () 183

FilledSectioningDiamond () 183

FilledSmallCircle (u) 149


FilledSmallDiamondshape (v) 149

FilledSmallSquare (p) 149

FilledSmallTriangleDown (s) 149

FilledSmallTriangleLeft (r) 149

FilledSmallTriangleRight

(t) 149

FilledSmallTriangleUp (q) 149

FilledSnowCloud ($) 183

FilledSquare (`) 149filledsquare (◾) 38

FilledSquareShadowA () 149

FilledSquareShadowC () 149

filledsquarewithdots (C) 152

filledstar () 38

FilledSunCloud () 183

FilledTriangleDown (c) 149filledtriangledown () 38 73

FilledTriangleLeft (b) 149

filledtriangleleft () 38 73

FilledTriangleRight (d) 149filledtriangleright () 38

73FilledTriangleUp (a) 150filledtriangleup () 38 73FilledWeakRainCloud () 183finger pointing see fistsfinite field (F) see alphabets

mathFinland () 194finpartvoice (araquo) 23finpartvoiceless (araquo) 23

fint (gt

) 44

fint (ffl) 45

fint (⨏) 47fint (⨏) 48fintsl (⨏) 50fintup (⨏) 50Finv (F) 100Finv (`) 100Finv (ucirc) 101Finv (Ⅎ) 101Finv (Ⅎ) 101Fire ( ) 183 197Fire (ETH) 133fish 210ndash211fish hook see strictif

fisheye () 148fists 142 204fivedots () 33 120

FiveFlowerOpen (R) 145

FiveFlowerPetal (P) 145

FiveStar (8) 145

FiveStarCenterOpen () 145

FiveStarConvex () 145

FiveStarLines (7) 145

FiveStarOpen (9) 145

FiveStarOpenCircled () 145

FiveStarOpenDotted (lt) 145

FiveStarOutline (=) 145

FiveStarOutlineHeavy (gt) 145

FiveStarShadow () 145Fixedbearing () 136

fixedddots ( ) 119

fixedvdots () 119

fixmath (package) 241fj (F) 20FL () 134

Flag () 183flageolett (x) 164flags 197ndash198flap (f) 20

flapr (D) 19

Flasche ( ) 196

flat () 163

flat (ugrave) 163

flat () 163

flat ( ) 167

flat () 163

flat () 163

flatflat ( ) 167

Flatsteel () 136

fletched arrows 91 139

fleurons 146 152 209ndash210

Florin (iacute) 26

florin see textflorin

flourishes 152 213

floweroneleft (b) 146

floweroneright (c) 146

flowers 145 146 197ndash198209ndash211

fltns () 148

Flynn Peter 230

FM () 134

Fncontent ( ) 121

Fnncontent ( ) 121

Fnnquant ( ) 121

Fnnquantn ( ) 121

Fnnquantnn ( ) 121

Fnquant ( ) 121

Fnquantn ( ) 121

Fnquantnn ( ) 121

fnsymbol 185

Fog () 183

font encodings 12 14ndash17 20 2124 229 234 241 242 244246

7-bit 12

8-bit 12

ASCII 246

Cyrillic 21

document 242 244

Latin 1 246

limiting scope of 12

LY1 12

OT1 12 15 21 234 241242

OT2 229

T1 12 14 15 17 21 242244

T2A 21 229

T2B 21

T2C 21

T4 16 20 21 24

T5 16 21

TS1 229 242

U 229

X2 21

278

fontawesome (package) 2627 132 136 140ndash142 144146 151 199 202 247 248

fontdefdtx (file) 230 234fontenc (package) 12 15 17 21

242 244fontencoding 12fonts

Calligra 128Charter 26 51Computer Modern 92 226228 242

CountriesOfEurope 195Courier 26Emmentaler 168Garamond 26 51Helvetica 26ldquopirdquo 229Soyombo 193Symbol 98 229Times Roman 26 228Type 1 239Utopia 26 51Zapf Chancery 128Zapf Dingbats 139 144

fontsize 226 228fontspec (package) 163 245 246Football (o) 182forall (forall) 100forall (forall) 101forall (forall) 100forall (forall) 101Force (l) 136Fork () 196forks (⫝̸) 62forksnot (⫝) 61forkv (thorn) 60forkv (⫙) 61forte ( ) 168 179Fortune (K) 133Forward (middot) 182ForwardToEnd (cedil) 182ForwardToIndex (sup1) 182

FourAsterisk (1) 145

FourClowerOpen (V) 145

FourClowerSolid (W) 145

Fourier ( ) 64fourier (package) 27 64 98 102

109 115 142 146 182 247fourier (emf package option) 131

fourier ( ) 64Fourier transform (ℱ) see

alphabets mathFourStar (5) 145

FourStarOpen (6) 145fourth (4) 124fourvdots (⦙) 120

Fquantn ( ) 121

Fquantnn ( ) 121fracslash (frasl) 36fractions 126fraktur see alphabets mathFrance () 194frcursive (emf package option)

131Freemasonrsquos cipher 191frege (package) 121 247 248Frege logic symbols 91 102 121

122 126Frege Gottlob 121frown () 52frown (yacute) 60frown () 57 95frown () 94frown () 61frown symbols 94 95frowneq (≘) 57 95frowneq () 94frowneqsmile () 94frownie () 181frownsmile () 57 95frownsmile () 94frownsmileeq ()) 94Frowny (sect) 182frowny faces 135 181 182

196ndash202fryingpan ( ) 196FS () 135fullmoon (M) 132fullmoon () 131fullnote () 163fullouterjoin (⟗) 126

GG (a) 21g (esvect package option) 115g (g) 162Game (G) 100Game (a) 100Game (uuml) 101Game (⅁) 101Game (⅁) 101game-related symbols 151

183 184 186ndash188 199ndash202223ndash226

Gamma (Γ) 97gamma (120574) 97gammaup (γ) 98Ganz ( macr ) 165GaPa (lt) 165Garamond (font) 26 51Gasstove () 196gcd (gcd) 96GD (|) 134GE () 134ge see geq

ge (ge) 70ge (ge) 72Gemini (R) 132Gemini (acirc) 132Gemini (v) 133gemini (^) 131genealogical symbols 181geneuro (AC) 27geneuronarrow (BC) 27geneurowide (CC) 27gensymb (package) 130Gentsroom (x) 182geometric shapes 133 146ndash151

173ndash178 187 188 199ndash202204ndash206 222

geq (ě) 68geq (ge) 67 68geq (ge) 70geq (ge) 69geq (ge) 71 72geqclosed (⊵) 70 74geqclosed (⊵) 69 73geqdot (c) 70geqdot (u) 69geqq (ŕ) 68geqq (=) 67geqq (Aacute) 71geqq (≧) 70geqq (≧) 69geqq (≧) 71geqqslant (⫺) 72geqslant (gt) 67geqslant (Eacute) 71geqslant (⩾) 70geqslant (⩾) 69geqslant (⩾) 72geqslantdot (⪀) 70geqslantdot (⪀) 69geqslcc (⪩) 70german (keystroke package op-

tion) 134Germanic runes 162Germany () 195gescc (⪩) 70gescc (⪩) 72gesdot (⪀) 70gesdot (⪀) 72gesdoto (⪂) 72gesdotol (⪄) 72gesl (⋛) 70gesles (⪔) 72gets see leftarrow

gets (larr) 83gg () 68gg (≫) 67gg (≫) 70gg (≫) 69gg (≫) 72ggcurly (Iuml) 54

279

ggcurly (euml) 60ggg (Iuml) 68ggg (≫) 67ggg (≫ vs Iuml) 227ggg (times) 71ggg (⋙) 70ggg (⋙) 69ggg (⋙) 72gggnest (⫸) 72gggtr see ggg

gggtr (⋙) 70gggtr (⋙) 69gggtr (⋙) 72ghosts 40 118 191Gibbons Jeremy 249gimel (ג) 99gimel (ugrave) 100gimel (ℷ) 99gimel (ℷ) 99gimel (ℷ) 100girl (B) 132gla (⪥) 72glE (⪒) 72gleichstark (⧦) 61glj (uacute) 71glj (⪤) 72globe 182glotstop (b) 19glottal () 20Gloves () 196Gluon (eth) 137gluon (QPPPPPPR) 130gluons 137gnapprox (Euml) 68gnapprox () 67gnapprox () 71gnapprox (⪊) 70gnapprox (⪊) 69gnapprox (⪊) 72gneq (ŋ) 68gneq (13) 67gneq () 71gneq (⪈) 70gneq (⪈) 72gneqq (ş) 68gneqq () 67gneqq () 71gneqq (≩) 70gneqq (≩) 69gneqq (≩) 72gnsim (Aring) 68gnsim () 67gnsim () 71gnsim (⋧) 70gnsim (≵) 69gnsim (⋧) 72GO () 134go (package) 188 247Go boards 187 188

Go stones 187 188goban 187 188Goofy 189graphene (119904) 137graphics (package) 91 229graphicx (package) 24 226 229grater ( ) 196grave ( ) 111grave (`) 110grave (a) see accentsgravis (a) 24graviton (divide) 137

GreatBritain () 195greater-than signs see

inequalitiesgreatest lower bound see sqcap

greatpumpkin ( ) 40Greece () 195Greek 16 97 98

blackboard bold 129bold 97 240coins 27letters 16 97 98 129 159240

numerals 159polytonic 16 97 98upright 16 98

greek (babel package option) 1697 98 159

Green Dot see Greenpoint andPackingWaste

Greenpoint (uml) 192greenpoint (package) 204 247Gregorian music 165

gregorianCclef (b) 165

gregorianFclef (z) 165Gregorio Enrico 110 231Griffithrsquos separation vector (r)

128grimace (M) 182Grune Punkt see Greenpoint

and PackingWaste

GS () 135gsime (⪎) 72gsiml (⪐) 72Gt (Iuml) 71Gt (⪢) 72gtcc (⪧) 71gtcc (⪧) 72gtcir (ugrave) 71gtcir (⩺) 72gtlpar (⦠) 123gtlpar (⦠) 123gtquest (⩼) 71gtr (gt) 70gtr (gt) 69

gtrapprox (Ccedil) 68gtrapprox () 67gtrapprox (iquest) 71gtrapprox (⪆) 70gtrapprox (⪆) 69gtrapprox (⪆) 71gtrarr (⥸) 71gtrcc (⪧) 70gtrclosed (⊳) 70 74gtrclosed (⊳) 69 73gtrdot (Iacute) 68gtrdot (m) 67gtrdot (Aring) 35gtrdot (⋗) 70gtrdot (⋗) 69gtrdot (⋗) 71gtreqless (iexcl) 68

gtreqless (R) 67

gtreqless (Aring) 71gtreqless (⋛) 70gtreqless (⋛) 69gtreqless (⋛) 71gtreqlessslant (⋛) 71gtreqlessslant (O) 69

gtreqqless (pound) 68

gtreqqless (T) 67

gtreqqless (Ccedil) 71

gtreqqless (⪌) 70

gtreqqless (⪌) 69

gtreqqless (⪌) 71

gtreqslantless (⋛) 70gtrless (ż) 68gtrless (≷) 67gtrless (Atilde) 71gtrless (≷) 70gtrless (≷) 69gtrless (≷) 71

gtrneqqless (oacute) 69

gtrsim (Aacute) 68gtrsim (amp) 67gtrsim (frac12) 71gtrsim (≳) 70gtrsim (≳) 69gtrsim (≳) 71GU (|) 134guillemotleft (laquo) 17 243guillemotright (raquo) 17 243guilsinglleft (lsaquo) 17 244guilsinglright (rsaquo) 17 244gvcropped (∓) 137gvertneqq (ţ) 68gvertneqq () 67gvertneqq () 71gvertneqq (≩) 71gvertneqq (≩) 69gvertneqq (≩) 71

280

HH (H) 162H (a) 21h (esvect package option) 115h (egrave) 162

h (ả) 21h (h) 162Halsinge runes see staveless

runesHA (A) 154

Ha (a) 154hacek (a) see accentsHades (Uuml) 133

Hail () 183Halb ( ˘ ldquo) 165half note see musical symbols

HalfCircleLeft (s) 150

HalfCircleRight (r) 150

HalfFilledHut () 183halflength (p) 25halfNote () 166halfnote (13) 163halfNoteDotted ( u ) 166halfNoteDottedDouble ( uu ) 166halfNoteDottedDoubleDown

(uu) 166

halfNoteDottedDown (u) 166

halfNoteDown () 166

halfNoteRest ( ) 168halfNoteRestDotted ( ) 168

HalfSun () 183halloweenmath (package) 40

118 247 248Hamiltonian (ℋ) see alphabets

mathHandCuffLeft () 142

HandCuffLeftUp () 142

HandCuffRight (13) 142

HandCuffRightUp () 142

HandLeft () 142

HandLeftUp () 142

HandPencilLeft () 142

HandRight () 142

HandRightUp () 142hands see fistshands (package) 204 247Handwash (Uuml) 182HaPa (lt) 165harmony (package) 165 247harpoon (package) 91 247 248harpoons 75ndash77 80 81 85 87

90ndash92 222hash () 124hash (gt) 60hash mark see

hat ( ) 111

hat (^) 110hatapprox (⩯) 61hateq (≙) 58hateq (≙) 55hausaB (B) 20hausab (b) 20hausaD (T) 20hausad (D) 20hausaK (K) 20hausak (k) 20

HB (B) 154

Hb (b) 154

HBar () 150hbar (~) 100 230hbar () 101hbar (h) 101hbar (ℏ) 101hbipropto () 33hbond (Euml) 137HC (C) 154

Hc (c) 154hcrossing () 55

HCthousand (6) 154HD (D) 154

Hd (d) 154hdotdot () 34 120hdotdot () 33 120hdots (⋯) 120hdots (⋯) 120Hdual (ff) 154HE (E) 154He (e) 154heads see facesHeart () 182heartctrbull (bullcntr package op-

tion) 185heartctrbull 185hearts 133 151 152 197ndash202heartsuit () 151heartsuit (ouml) 151heartsuit () 151heartsuit () 151heartsuit () 151heavyqtleft () 196heavyqtright () 196Hebrew 99 100 129Helvetica (font) 26hemiobelion (Α) 27Herd ( ) 196HERMAPHRODITE () 136Hermaphrodite () 136Hermaphrodite () 136hermitmatrix (ograve) 125hermitmatrix (⊹) 126Heta ([) 159heta (() 159hexagon () 148

hexagon (7) 146hexagonblack () 148Hexasteel () 136hexstar (A) 144HF () 130HF (F) 154Hf (f) 154hfermion () 137hfil 231HG (G) 154Hg (g) 154HH 165

HH (H) 154Hh (h) 154hhcount (package) 184 185 247

248Hhundred (3) 154

HI (I) 154

Hi (i) 154

hiatus (H) 189Hibl (Π) 154

Hibp (Θ) 154

Hibs (Ξ) 154

Hibw (Λ) 154Hidalgo () 133hieroglf (package) 154 247hieroglyphics 154Higgsboson (ntilde) 137Hilbert space (ℋ) see alphabets

mathhill (a

) 23

HJ (J) 154Hj (j) 154HK (K) 154Hk (k) 154hknearrow (⤤) 83hknearrow (⤤) 88hknwarrow (⤣) 83hknwarrow (⤣) 88hksearow (⤥) 88hksearrow (⤥) 83hksqrt (

radic) 233

hkswarow (⤦) 88hkswarrow (⤦) 83HL (L) 154Hl (l) 154HM (M) 154

Hm (m) 154

Hman (ϒ) 154

Hmillion (7) 154

Hms (Δ) 154HN (N) 154Hn (n) 154HO (O) 154

281

Ho (o) 154hole (ℎ) 137HollowBox (O) 143Holmes Sherlock 220Holt Alexander 1 246

holter ( ) 119

holtpolt (package) 119 247hom (hom) 96Home ( Home ) 134

Homer (

) 189Hone (mdash) 154

hook accent (ả) see accentshookb () 19hookd (D) 20hookd () 19hookdownarrow () 82hookdownminus () 125hookdownminus () 125hookg () 19hookh ($) 19hookheng () 19hookleftarrow (larr˒) 75hookleftarrow () 86hookleftarrow () 82hookleftarrow () 78hookleftarrow (larr˒) 92hookleftarrow () 88hooknearrow (⤤) 82hooknwarrow (⤣) 82hookrevepsilon () 19hookrightarrow (˓rarr) 75hookrightarrow () 86hookrightarrow () 82hookrightarrow () 78hookrightarrow (rarr˓) 92hookrightarrow () 88hooksearrow (⤥) 82hookswarrow (⤦) 82hookuparrow (1) 82hookupminus (⨽) 35hookupminus (⨽) 125Horn Berthold 129

hoshi () 188hourglass (⧖) 35hourglass (⧖) 40house () 148HP (P) 154Hp (p) 154hpause (lt) 164Hplural (Ω) 154

Hplus (+) 154HQ (Q) 154Hq (q) 154

Hquery () 154

HR (R) 154Hr (r) 154hrectangle () 148hrectangleblack () 148HS (S) 154

Hs (s) 154

hs (A) 164

Hscribe (Ψ) 154

Hslash () 154hslash () 100hslash () 101hslash (h) 101hslash (ℏ) 101Hsv (Σ) 154HT () 135HT (T) 154Ht (t) 154Hten (2) 154

Hthousand (4) 154

Htongue (Φ) 154

HU (U) 154

Hu (u) 154Hungarian umlaut (a) see

accentsHungary () 195

Hut () 183

HV (V) 154Hv (v) 154hv () 19Hvbar (mdash) 154HW (W) 154

Hw (w) 154HX (X) 154

Hx (x) 154

HXthousand (5) 154

HY (Y) 154

Hy (y) 154Hygiea (frac12) 133hyphen discretionary 244hyphenbullet () 126

HZ (Z) 154Hz (z) 154hzigzag (〰) 126

II (I) 162

i 21i (Aacute) 162i (ı) 21i (i) 162ialign 231 233 235IB () 134

ibar ( i ) 20IBM PC 135 190 242IC (4) 133Iceland () 195Icelandic staves 190IceMountain () 183

iddots ( ) 120

iddots () 234idotsint (

intmiddot middotmiddot

int) 42

idotsint (

) 44

idotsint (L) 47 48

idotsint (Z) 46iff see Longleftrightarrow

ifsym (package) 130 149 150183 227 229 247

igo (package) 187 247igocircle () 187igocircle () 187igocross (|) 187igocross (|) 187igonone () 187igonone () 187igosquare (~) 187igosquare (~) 187igotriangle () 187igotriangle () 187iiiint (

intintintint) 42

iiiint (

) 44

iiiint (ˇ

) 45

iiiint (⨌) 47

iiiint (⨌) 46iiiint (⨌) 48iiiintsl (⨌) 50iiiintup (⨌) 50iiint (

ţ

) 43iiint (

intintint) 42

iiint (t

) 43

iiint (

) 44

iiint (˝

) 45

iiint (∭) 47

iiint (∭) 46iiint (∭) 49iiintsl (∭) 50iiintup (∭) 50iinfin (divide) 125iinfin (⧜) 122iint (

ť

) 43iint (

intint) 42

iint (s

) 43

iint (

) 44

iint (˜

) 45

iint (∬) 48

iint (∬) 46iint (∬) 49iintsl (∬) 50iintup (∬) 50

282

IJ (IJ) 15ij (ij) 15Im (image) 100Im (image) 101im (j) 101imageof (⊷) 94imageof (⊷) 61imath (120484) 100 110imath () 101imath () 101impliedby see Longleftarrow

implies see Longrightarrow

and vdash

impulse train see shain (P) 100in (isin) 100in (isin) 57 101in (isin) 101in (isin) 100in (isin) 61inches see second and

textquotedbl

incoh (˚) 64increment (∆) 126independence

probabilistic 232statistical 232stochastic see bot

independent (perpperp) 233Industry (I) 182inequalities 14 67ndash72inexact differential see dbar

inf (inf) 96infimum see inf and sqcap

infinity 122 124ndash126 232Info (i) 182

Info (iexcl) 192information symbols 182informator symbols 186infty (8) 124infty (infin) 124infty (infin) 125infty (infin) 125infty (infin) 122ING (İ) 162Ing (iexcl) 162ing (ţ) 162inipartvoice (andash ) 23inipartvoiceless (andash ) 23

injlim (inj lim) 96Innocey ( ) 196inplus (A) 53inplus (para) 60inputenc (package) 245Ins ( Ins ) 134

int (ş

) 44int (

r) 43

int (r) 43

int (int

) 42

int (int) 48

int (int) 46int (int) 49

intBar (⨎) 48intBar (⨎) 49

intbar (⨍) 48intbar (⨍) 49intBarsl (⨎) 50intbarsl (⨍) 50intBarup (⨎) 50intbarup (⨍) 50intcap (⨙) 49intcapsl (⨙) 51intcapup (⨙) 51

intclockwise (∱) 48

intclockwise () 51

intclockwise (∱) 49intclockwisesl (∱) 50intclockwiseup (∱) 50

intctrclockwise (⨑) 48intcup (⨚) 49intcupsl (⨚) 51intcupup (⨚) 51

INTEGER (iquest) 96

Integer (Uacute) 96integers (Z) see alphabets mathintegrals 41ndash52 125 232

product 52integrals (wasysym package op-

tion) 43interaction (Oacute) 137intercal (ᵀ) 31intercal (thorn) 35 101intercal (⊺) 34intercal (⊺) 100intercal (⊺) 36 101interior see mathring

interleave (9) 32interleave (⫴) 36internalsym (120553) 137intersection see cap

Interval () 183intlarhk (⨗) 49intlarhksl (⨗) 51intlarhkup (⨗) 51intprod (⨼) 34 35 125intprod (⨼) 36intprodr (⨽) 34 35 125intprodr (⨽) 36intsl (int) 50

intup () 48

intup (int) 50intx (⨘) 49intxsl (⨘) 51intxup (⨘) 51inva () 19

invamp (M) 32invamp (`) 37invbackneg (⨽) 125

INVd () 135invdiameter () 181inve (U) 20inverse limit see varprojlim

inversebullet () 126inversewhitecircle () 148InversTransformHoriz () 64

InversTransformVert () 64inverted symbols 17ndash20 24

229ndash230inverters 135invf () 19invglotstop (d) 19invh (amp) 19

INVl () 135invlazys (∾) 36invlegr (I) 19invm (5) 19invneg () 53invneg () 125invneg (⨼) 125invnot () 125invnot () 125invnot () 126

INVr () 135invr (G) 19invscr (K) 19invscripta () 19invsmileface () 196

INVu () 135invv () 19invw (Z) 19invwhitelowerhalfcircle ()

148invwhiteupperhalfcircle ()

148invy () 19IO (13) 134ion (119891) 137ionicbond (Icirc) 137Iota (I) 97iota (120580) 97iota upside-down 229iotaup (ι) 98ipagamma ( ) 19ipercatal (η) 189Ireland () 195IroningI (macr) 182IroningII (deg) 182IroningIII (plusmn) 182

irony mark ( ) 229

283

irrational numbers (J) seealphabets math

Irritant () 183isindot (⋵) 61isinE (⋹) 61isinobar (⋷) 61isins (⋴) 61isinvb (⋸) 61ismodeledby (=|) 230ISO character entities 244isoent (package) 244Isthmian script 160ndash161italic 14 15 27 236 238ndash240

242Italy () 195

JJ (J) 162j (ł) 162j (ȷ) 21j (j) 162

JackStar (2) 145

JackStarBold (3) 145Jewish star 144 145jmath (120485) 100 110jmath (|) 101jmath (|) 101Joch () 183Join (Z) 52 53Join (⋈) 35 58Join (amp) 34Join (⨝) 126joinrel 230joint denial see downarrow

Jpsimeson (ouml) 137junicode (package) 245 247Junicodettf (file) 245Juno () 133Jupiter (E) 132Jupiter (Aring) 132Jupiter (j) 133jupiter (X) 131

KK (Č) 162k (ń) 162k (a˓) 24k (ą) 21k (k) 162Kaonminus (icirc) 137Kaonnull (iuml) 138Kaonplus (iacute) 138Kappa (K) 97kappa (120581) 97kappaup (κ) 98ker (ker) 96kernelcontraction () 60kernelcontraction (∻) 61ket 103

Keyboard (Iuml) 134keyboard symbols 134keys computer 134keystroke (package) 134 247keystroke ( ) 134

king 187 224ndash226Knife () 196knight 187 224ndash226knitting (package) 193 247 248knitting symbols 193knot (package) 213 217 247knots 213ndash217Knuth Donald E 12 92 242

249symbols by 181

Kochtopf ( ) 196Koppa (Ϙ) 159koppa (ϟ) 159Kr ( l) 165kreuz (6) 181Kronecker product see otimes

Kronecker sum see oplus

Kronos (Auml) 133krouzek (a) see accentskside (O) 186

LL ( L) 15l ( l) 15l (l) 162labdentalnas (4) 19labvel 23Ladiesroom (y) 182Lagrangian (ℒ) see alphabets

mathLambda (Λ) 97lambda (120582) 97lambdabar (o) 124lambdabar () 125lambdaslash (n) 124lambdaslash () 125lambdaup (λ) 98Lamport Leslie 246 249land see wedge

land (and) 35land (and) 36land masses 194landdownint (

) 45

landdownint (⨑) 48

landdownint (⨚) 46landupint (

) 45

landupint (∱) 47 48

landupint (⨙) 46Langle (lt) 129lAngle (⟨⟨) 109

lAngle (⟪) 106

lAngle (

⟪

) 107

langle (⟨) 30 103

langle (⟨) 106

langle (⟨) 105

langle (

⟨

) 108

langlebar (n) 105

langledot (⦑) 106

langledot (⦑) 103laplac (⧠) 126

Laplace ( ) 64

laplace ( ) 64Laplace transform (ℒ) see

alphabets mathLaplacian (Δ) see Delta

Laplacian (nabla2) see nabla

largeblackcircle () 147largeblacksquare () 147largeblackstar () 147largecircle () 147largecircle () 147largectrbull (bullcntr package op-

tion) 185largectrbull 185largediamond () 147largelozenge (loz) 147

largepencil (W) 141

largepentagram () 147LargerOrEqual (gt) 122largesquare () 147largesquare (◻) 147largestar () 147largestarofdavid () 147largetriangledown (_) 74

147largetriangledown () 73largetriangleleft (◁) 73largetriangleright (▷) 73largetriangleup (^) 74 147largetriangleup () 73largewhitestar () 147LArrow ( larr ) 134

larrowfill 117Laserbeam (a) 136lat (⪫) 71late (⪭) 71LATEX 1 12 21 52

96 103 119 124 139 185

284

204 225 226 229ndash236 239240 242 244ndash246 248 249

LATEX 2120576 112 14 15 27 31 52 6475 112 119 124 129 151163 204 225ndash227 229 230232 234 238ndash244 249

latexsym (package) 31 52 6475 124 226 247

latfric () 19

Latin 1 12 242ndash244 246

Latvia () 194

Laughey ( ) 196

laundry symbols 182

LB () 134

Lbag (P) 102

lbag (N) 102

lbag (THORN) 35

lbag (⟅) 103

lblackbowtie (igrave) 35

lblkbrbrak (⦗) 103

lBrace (

⦃

) 107

lbrace () 106

lbrace () 107

lbrace (⎧⎪⎪⎨⎪⎩

) 105

lbrace (

) 107

Lbrack ([) 129

lBrack ([[) 109

lBrack (⟦) 106

lBrack (⟦) 107

lBrack (

⟦

) 107

lbrack ([) 106

lbrack ([) 107

lbracklltick (⦏) 103

lbrackubar (⦋) 103

lbrackultick (⦍) 103

Lbrbrak (⟬) 103

lbrbrak (

❲

) 107

LCD numerals 130

lCeil (lceillceil) 109

lceil (lceil) 103

lceil (lceil) 106

lceil (⎡⎢⎢⎢⎢⎢) 105

lceil (

lceil

) 107

lcirclearrowdown (yuml) 77lcirclearrowleft (⤾) 77lcirclearrowright (⟳) 77lcirclearrowup () 77

lcircleleftint (∲) 47 48

lcircleleftint (∲) 46

lcirclerightint (∲) 47 48

lcirclerightint (∲) 46lcm (lcm) 240lcorners (v) 102lcurvearrowdown (⤸) 77lcurvearrowleft (ordm) 77lcurvearrowne (frac14) 77lcurvearrownw (frac12) 77lcurvearrowright () 77lcurvearrowse (iquest) 78lcurvearrowsw (frac34) 78lcurvearrowup (sup1) 78lcurvyangle (⧼) 103LD () 134ldbrack (v) 104ldotp () 119ldotp () 120ldots ( ) 119Ldsh () 82Ldsh () 88LE () 134le see leq

le (le) 71le (le) 72leadsto () 53 75leadsto () 83leadsto () 78leadsto () 89leaf see textleaf

leafleft (g) 146leafNE (f) 146leafright (h) 146leaves 146 152 209ndash210Lefschetz motive (ℒ) see

alphabets mathLeft 189left 103 104 108 109 226

228LEFTarrow () 181Leftarrow (lArr) 30 75Leftarrow (lArr) 82Leftarrow (lArr) 78Leftarrow (lArr) 88leftarrow (ETH) 76leftarrow (larr) 75leftarrow (larr) 81leftarrow (larr) 78leftarrow (larr) 92leftarrow (larr) 88leftarrowaccent () 111

leftarrowapprox (⭊) 88leftarrowbackapprox (⭂) 88leftarrowbsimilar (⭋) 88leftarrowless (⥷) 71leftarrowonoplus (⬲) 88leftarrowplus (⥆) 88leftarrowshortrightarrow

(⥃) 88leftarrowsimilar (⥳) 88leftarrowsubset (⥺) 67leftarrowtail () 75leftarrowtail () 86leftarrowtail () 81leftarrowtail () 78leftarrowtail () 88leftarrowTriangle (uacute) 86leftarrowtriangle (^) 76leftarrowtriangle (yacute) 86leftarrowtriangle (⇽) 88leftarrowx (⬾) 88leftAssert (⫣) 57leftassert (⫞) 57leftbarharpoon (Uuml) 77leftbkarrow () 81leftbkarrow (⤌) 89leftblackarrow (-) 86leftblackspoon (n) 94LEFTCIRCLE (G) 146LEFTcircle (G) 146Leftcircle (I) 146leftcurvedarrow () 83leftcurvedarrow (⬿) 89leftdasharrow ( ) 86leftdasharrow () 89leftdbkarrow (⤎) 89leftdbltail (⤛) 61leftdotarrow (⬸) 89leftdowncurvedarrow (⤶) 83leftdowncurvedarrow (⤶) 89

leftevaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108

leftfilledspoon (r) 93leftfishtail (⥼) 61leftfootline (not) 57leftfootline (z) 55leftfree () 55lefthalfcap () 33lefthalfcup () 33lefthand (t) 142leftharpoonaccent () 111leftharpoonccw () 80leftharpooncw () 80leftharpoondown (acirc) 77leftharpoondown () 75leftharpoondown () 87leftharpoondown () 85leftharpoondown () 90leftharpoondownbar (⥞) 90

285

leftharpoonsupdown (⥢) 90leftharpoonup (agrave) 77leftharpoonup () 75leftharpoonup () 87leftharpoonup () 85leftharpoonup () 90leftharpoonupbar (⥚) 90leftharpoonupdash (⥪) 90leftlcurvearrow () 83leftleftarrows (ETH) 76leftleftarrows (hArr) 75leftleftarrows () 86leftleftarrows () 81leftleftarrows () 78leftleftarrows () 89leftleftharpoons (Oslash) 77leftlsquigarrow () 83leftlsquigarrow (cent) 78Leftmapsto (⤆) 81leftmapsto () 81leftmapsto () 78leftModels (ograve) 55leftmodels (icirc) 57leftmodels (acirc) 55leftmoon (K) 132leftmoon () 132leftmoon ($) 131leftouterjoin (⟕) 126leftp (v) 25leftpitchfork (v) 95leftpitchfork () 93leftpointright (R) 142leftpropto (prop) 55leftrcurvearrow (⤺) 83Leftrightarrow (hArr) 75Leftrightarrow (hArr) 81Leftrightarrow (hArr) 78Leftrightarrow (hArr) 89leftrightarrow (Oslash) 76leftrightarrow (harr) 75leftrightarrow (harr) 81leftrightarrow (harr) 78leftrightarrow (harr) 92leftrightarrow (harr) 89leftrightarrowaccent () 111leftrightarrowcircle (⥈) 89leftrightarroweq (-) 76leftrightarroweq (ouml) 86leftrightarrows (Ocirc) 76leftrightarrows () 75leftrightarrows () 86leftrightarrows () 81leftrightarrows () 78leftrightarrows () 89leftrightarrowTriangle (uuml)

86leftrightarrowtriangle (])

76

leftrightarrowtriangle (yuml) 86

leftrightarrowtriangle (⇿) 89

leftrightblackarrow (1) 86leftrightblackspoon (q) 94leftrightcurvearrow (curren) 83leftrightharpoon (agrave) 77leftrightharpoondowndown

(⥐) 91leftrightharpoondownup (⥊)

85leftrightharpoondownup (⥊)

80leftrightharpoondownup (⥋)

91leftrightharpoons (egrave) 77leftrightharpoons () 76leftrightharpoons () 87leftrightharpoons () 85leftrightharpoons () 80leftrightharpoons () 90leftrightharpoonsdown (⥧) 90leftrightharpoonsfill 117leftrightharpoonsup (⥦) 90leftrightharpoonupdown (⥋)

85leftrightharpoonupdown (⥋)

80leftrightharpoonupdown (⥊)

90leftrightharpoonupup (⥎) 90Leftrightline (Ocirc) 55leftrightline (ETH) 55leftrightspoon (⧟) 94leftrightsquigarrow (uacute) 76leftrightsquigarrow () 75leftrightsquigarrow () 86leftrightsquigarrow () 82leftrightsquigarrow () 78leftrightsquigarrow () 89leftrightwavearrow () 81leftrsquigarrow () 82leftrsquigarrow () 78LeftScissors (Q) 141leftslice (2) 32leftslice (ETH) 35leftslice (⪦) 55leftspoon (⟜) 94leftspoon (⟜) 93leftsquigarrow (oslash) 76leftsquigarrow (f) 76leftsquigarrow () 86leftsquigarrow () 82leftsquigarrow () 89leftt (n) 25lefttail (⤙) 61lefttherefore () 120lefttherefore () 33 120

leftthreearrows (⬱) 89leftthreetimes ($) 124leftthreetimes (h) 31leftthreetimes (Oacute) 35leftthreetimes (⋋) 34leftthreetimes (⋋) 33leftthreetimes (⋋) 36leftthumbsdown (D) 142leftthumbsup (U) 142lefttorightarrow (uuml) 76lefttorightarrow (ccedil) 86Lefttorque (amp) 136leftturn () 181leftupcurvedarrow (iexcl) 82leftVDash (⫥) 57leftVdash (⫣) 57leftVdash (ecirc) 55leftvDash (⫤) 57leftvdash (⊣) 57leftvdash (⊣) 55

leftwave (

ETH

ETH

ETH

ETH

) 108

leftwavearrow () 81leftwavearrow () 89leftwhitearrow (acirc) 86leftwhitearrow () 89leftwhiteroundarrow (auml) 86leftY () 34leftY () 33leftzigzagarrow () 86legal symbols 14 15 27 28 243legm (6) 19legr (E) 19length (q) 25Leo (auml) 132Leo (n) 133leo () 131leq (ď) 68leq (le) 67 68leq (le) 70leq (le) 69leq (le) 72leqclosed (⊴) 70 74leqclosed (⊴) 69 73leqdot (b) 70leqdot (t) 69leqq (ő) 68leqq (5) 67leqq (Agrave) 71leqq (≦) 70leqq (≦) 69leqq (≦) 72leqqslant (⫹) 72leqslant (6) 67leqslant (Egrave) 71leqslant (⩽) 70leqslant (⩽) 69leqslant (⩽) 72

286

leqslantdot (⩿) 70leqslantdot (⩿) 69leqslcc (⪨) 70lescc (⪨) 71lescc (⪨) 72lesdot (⩿) 70lesdot (⩿) 72lesdoto (⪁) 72lesdotor (⪃) 72lesg (⋚) 70lesges (⪓) 72less (lt) 70less (lt) 69less-than signs see inequalitieslessapprox (AElig) 68lessapprox () 67lessapprox (frac34) 71lessapprox (⪅) 70lessapprox (⪅) 69lessapprox (⪅) 72lesscc (⪦) 70lessclosed (⊲) 70 74lessclosed (⊲) 69 73lessdot (Igrave) 68lessdot (l) 67lessdot (Auml) 35lessdot (⋖) 70lessdot (⋖) 69lessdot (⋖) 72lesseqgtr (ĳ) 68

lesseqgtr (Q) 67

lesseqgtr (Auml) 71lesseqgtr (⋚) 70lesseqgtr (⋚) 69lesseqgtr (⋚) 72lesseqgtrslant (⋚) 70lesseqgtrslant (N) 69

lesseqqgtr (iquest) 68

lesseqqgtr (S) 67

lesseqqgtr (AElig) 71

lesseqqgtr (⪋) 70

lesseqqgtr (⪋) 69

lesseqqgtr (⪋) 72

lesseqslantgtr (⋚) 70lessgtr (ž) 68lessgtr (≶) 67lessgtr (Acirc) 71lessgtr (≶) 70lessgtr (≶) 69lessgtr (≶) 72

lessneqqgtr (ograve) 69

LessOrEqual (lt) 122lesssim (Agrave) 68lesssim () 67lesssim (frac14) 71lesssim (≲) 70

lesssim (≲) 69lesssim (≲) 72Letter (B) 136Letter () 183Letter (B vs ) 227letter-like symbols 100ndash102

199ndash202letters see alphabets 230 231

barred 230non-ASCII 15slashed 231variant Greek 99variant Latin 99

levaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108

LF () 135lfbowtie (⧑) 61

lfilet (

7

7

7

7

) 104

lFloor (lfloorlfloor) 109lfloor (lfloor) 103

lfloor (lfloor) 106

lfloor (⎢⎢⎢⎢⎢⎣) 105

lfloor (

lfloor

) 107

lftborder () 188

lftbotcorner () 188lftimes (⧔) 61

lfttopcorner () 188

LG () 134lg (lg) 96lgblkcircle () 147lgblkcircle () 148lgblksquare () 147lgblksquare () 148lgE (⪑) 72

lgroup (⎧⎩) 104

lgroup (

⎧⎪⎪⎪⎪⎩) 106

lgroup (⎧⎪⎪⎪⎪⎩) 105

lgroup (⎫

⎪

⎭

) 107

lgwhtcircle () 147lgwhtcircle () 148lgwhtsquare () 147lgwhtsquare () 148LHD () 32lhd (C) 31 32lhd (⊲) 70lhd (⊲) 69 73lhd (⊲) 36 149lhdbend (~) 181lhook () 96

lhookdownarrow (3) 82lhookdownarrow (3) 78lhookleftarrow () 82lhookleftarrow (2) 78lhooknearrow (⤤) 82lhooknearrow (4) 78lhooknwarrow (⤣) 82lhooknwarrow (⤣) 78lhookrightarrow () 82lhookrightarrow () 78lhooksearrow (⤥) 82lhooksearrow (⤥) 78lhookswarrow (⤦) 82lhookswarrow (6) 78lhookuparrow (1) 82lhookuparrow (1) 78Libra (aelig) 132Libra (X) 133libra (a) 131Lie derivative (ℒ) see alphabets

mathLiechtenstein () 194life-insurance symbols 116 235lightbulb (A) 239lightbulbmf (file) 236ndash238lightbulbsty (file) 239lightbulb102602gf (file) 238lightbulb10dvi (file) 238lightbulb10mf (file) 236ndash238lightbulb10tfm (file) 239Lightning (E) 136

Lightning () 183

Lightning (E vs ) 227lightning ( ) 76lightning ( vs ) 227

lightning () 81lightning () 78lightning () 181Lilith (Oslash) 133lilyAccent ( ) 168lilyDynamicsf ( ) 168lilyDynamicsm ( ) 168lilyDynamicsp ( ) 168lilyDynamicsr ( ) 168lilyDynamicss ( ) 168lilyDynamicsz ( ) 168lilyEspressivo ( ) 168lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

287

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 179

lilyGlyph ( ) 178

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 180

lilyGlyph ( ) 180

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172lilyGlyph ( ) 172lilyGlyph ( ) 172lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172lilyGlyph ( ) 172lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172


lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172lilyGlyph ( ) 172lilyGlyph ( ) 172lilyGlyph ( ) 172lilyGlyph ( ) 172lilyGlyph ( ) 179lilyGlyph ( ) 171lilyGlyph ( ) 171lilyGlyph ( ) 171lilyGlyph ( ) 171lilyGlyph ( ) 171lilyGlyph ( ) 171lilyGlyph () 171lilyGlyph () 171lilyGlyph () 171lilyGlyph () 171lilyGlyph () 171lilyGlyph () 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171lilyGlyph () 171lilyGlyph () 171lilyGlyph () 171lilyGlyph () 171lilyGlyph () 171lilyGlyph () 171lilyGlyph ( ) 180lilyGlyph () 180lilyGlyph ( ) 180lilyGlyph ( ) 179lilyGlyph ( ) 179

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171lilyGlyph ( ) 171

lilyGlyph ( ) 171

288

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 179lilyGlyph ( ) 179lilyGlyph ( ) 179lilyGlyph ( ) 179lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173

lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173

lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173lilyGlyph ( ) 173

lilyGlyph ( ) 173

lilyGlyph ( ) 173

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 173

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174


lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 174lilyGlyph ( ) 175

lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 174lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175

289

lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175

lilyGlyph ( ) 175

lilyGlyph ( ) 175

lilyGlyph ( ) 176

lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 175lilyGlyph ( ) 176lilyGlyph ( ) 176

lilyGlyph ( ) 176

lilyGlyph ( ) 176


lilyGlyph ( ) 176

lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176

lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 176lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177lilyGlyph ( ) 177


lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178lilyGlyph ( ) 179lilyGlyph ( ) 170lilyGlyph () 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 179lilyGlyph ( ) 179lilyGlyph ( ) 179lilyGlyph () 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph () 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170

lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170

lilyGlyph ( ) 170

lilyGlyph ( ) 170

lilyGlyph ( ) 170

lilyGlyph ( ) 170lilyGlyph () 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph () 170lilyGlyph ( ) 170lilyGlyph ( ) 170

lilyGlyph () 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 179lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph () 169

lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph () 169

290

lilyGlyph ( ) 169lilyGlyph () 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph () 169lilyGlyph ( ) 169

lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph () 170lilyGlyph ( ) 170

lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 170lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169

lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph () 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph ( ) 170lilyGlyph () 170lilyGlyph ( ) 170


lilyGlyph ( ) 170



lilyGlyph ( ) 169


lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169


lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 169lilyGlyph ( ) 179lilyGlyph ( ) 179lilyGlyph ( ) 179

lilylyp s (package) 163166ndash173 178ndash180

lilyglyphs (package) 247lilyPrintMoreDots 168lilyRF ( ) 168lilyRFZ ( ) 168lilyStaccato () 168lilyText 179lilyThumb ( ) 168lilyTimeC ( ) 167

lilyTimeCHalf ( ) 167lilyTimeSignature 167lim (lim) 96 240liminf (lim inf) 96 240limits 96limsup (lim sup) 96 240linbfamily 157 158

Linear A 154Linear B 157 158linear implication see multimap

linear logic symbols 30ndash32 3738 42 46ndash48 52 64 100101

linearA (package) 154 247 248

LinearAC (c) 154LinearACC () 154LinearACCC (y) 154LinearACCCI (z) 154LinearACCCII () 154LinearACCCIII (|) 154LinearACCCIV () 155LinearACCCIX () 155LinearACCCL (laquo) 155LinearACCCLI (not) 155LinearACCCLII (shy) 155LinearACCCLIII (reg) 156LinearACCCLIV (macr) 156LinearACCCLIX (acute) 156LinearACCCLV (deg) 156LinearACCCLVI (plusmn) 156LinearACCCLVII (sup2) 156LinearACCCLVIII (sup3) 156LinearACCCLX (micro) 156LinearACCCLXI (para) 156LinearACCCLXII (middot) 156LinearACCCLXIII (cedil) 156LinearACCCLXIV (sup1) 156LinearACCCLXIX (frac34) 156LinearACCCLXV (ordm) 156LinearACCCLXVI (raquo) 156LinearACCCLXVII (frac14) 156LinearACCCLXVIII (frac12) 156LinearACCCLXX (iquest) 156LinearACCCLXXI (Agrave) 156LinearACCCLXXII (Aacute) 156LinearACCCLXXIII (Acirc) 156LinearACCCLXXIV (Atilde) 156LinearACCCLXXIX (Egrave) 156LinearACCCLXXV (Auml) 156LinearACCCLXXVI (Aring) 156LinearACCCLXXVII (AElig) 156LinearACCCLXXVIII (Ccedil) 156LinearACCCLXXX (Eacute) 156LinearACCCLXXXI (Ecirc) 156LinearACCCLXXXII (Euml) 156LinearACCCLXXXIII (Igrave) 156LinearACCCLXXXIV (Iacute) 156LinearACCCLXXXIX (Ograve) 156LinearACCCLXXXV (Icirc) 156LinearACCCLXXXVI (Iuml) 156LinearACCCLXXXVII (ETH) 156LinearACCCLXXXVIII (Ntilde) 156LinearACCCV (~) 155LinearACCCVI () 155LinearACCCVII () 155LinearACCCVIII () 155

291

LinearACCCX () 155LinearACCCXI () 155LinearACCCXII () 155LinearACCCXIII () 155LinearACCCXIV () 155LinearACCCXIX () 155LinearACCCXL (iexcl) 155LinearACCCXLI (cent) 155LinearACCCXLII (pound) 155LinearACCCXLIII (curren) 155LinearACCCXLIV (yen) 155LinearACCCXLIX (ordf) 155LinearACCCXLV (brvbar) 155LinearACCCXLVI (sect) 155LinearACCCXLVII (uml) 155LinearACCCXLVIII (copy) 155LinearACCCXV () 155LinearACCCXVI () 155LinearACCCXVII () 155LinearACCCXVIII () 155LinearACCCXX () 155LinearACCCXXI () 155LinearACCCXXII () 155LinearACCCXXIII () 155LinearACCCXXIV () 155LinearACCCXXIX () 155LinearACCCXXV () 155LinearACCCXXVI () 155LinearACCCXXVII () 155LinearACCCXXVIII () 155LinearACCCXXX () 155LinearACCCXXXI () 155LinearACCCXXXII () 155LinearACCCXXXIII () 155LinearACCCXXXIV () 155LinearACCCXXXIX ( ) 155LinearACCCXXXV () 155LinearACCCXXXVI () 155LinearACCCXXXVII () 155LinearACCCXXXVIII () 155LinearACCI () 154LinearACCII () 154LinearACCIII () 154LinearACCIV () 154LinearACCIX () 155LinearACCL (G) 155LinearACCLI (H) 155LinearACCLII (I) 155LinearACCLIII (J) 155LinearACCLIV (K) 155LinearACCLIX (P) 156LinearACCLV (L) 156LinearACCLVI (M) 156LinearACCLVII (N) 156LinearACCLVIII (O) 156LinearACCLX (Q) 156LinearACCLXI (R) 156LinearACCLXII (S) 156LinearACCLXIII (T) 156

LinearACCLXIV (U) 156LinearACCLXIX (Z) 156LinearACCLXV (V) 156LinearACCLXVI (W) 156LinearACCLXVII (X) 156LinearACCLXVIII (Y) 156LinearACCLXX ([) 156LinearACCLXXI () 156LinearACCLXXII (]) 156LinearACCLXXIII (^) 156LinearACCLXXIV (_) 156LinearACCLXXIX (d) 156LinearACCLXXV (`) 156LinearACCLXXVI (a) 156LinearACCLXXVII (b) 156LinearACCLXXVIII (c) 156LinearACCLXXX (e) 156LinearACCLXXXI (f) 156LinearACCLXXXII (g) 156LinearACCLXXXIII (h) 156LinearACCLXXXIV (i) 156LinearACCLXXXIX (n) 156LinearACCLXXXV (j) 156LinearACCLXXXVI (k) 156LinearACCLXXXVII (l) 156LinearACCLXXXVIII (m) 156LinearACCLXXXX (o) 156LinearACCV () 154LinearACCVI () 155LinearACCVII () 155LinearACCVIII () 155LinearACCX () 155LinearACCXCI (p) 156LinearACCXCII (q) 156LinearACCXCIII (r) 156LinearACCXCIV (s) 156LinearACCXCIX (x) 154LinearACCXCV (t) 154LinearACCXCVI (u) 154LinearACCXCVII (v) 154LinearACCXCVIII (w) 154LinearACCXI ( ) 155LinearACCXII () 155LinearACCXIII () 155LinearACCXIV () 155LinearACCXIX (() 155LinearACCXL (=) 155LinearACCXLI (gt) 155LinearACCXLII () 155LinearACCXLIII () 155LinearACCXLIV (A) 155LinearACCXLIX (F) 155LinearACCXLV (B) 155LinearACCXLVI (C) 155LinearACCXLVII (D) 155LinearACCXLVIII (E) 155LinearACCXV ($) 155LinearACCXVI () 155LinearACCXVII (amp) 155

LinearACCXVIII () 155LinearACCXX ()) 155LinearACCXXI () 155LinearACCXXII (+) 155LinearACCXXIII () 155LinearACCXXIV (-) 155

LinearACCXXIX (2) 155LinearACCXXV () 155LinearACCXXVI () 155LinearACCXXVII (0) 155LinearACCXXVIII (1) 155LinearACCXXX (3) 155LinearACCXXXI (4) 155LinearACCXXXII (5) 155LinearACCXXXIII (6) 155LinearACCXXXIV (7) 155LinearACCXXXIX (lt) 155LinearACCXXXV (8) 155LinearACCXXXVI (9) 155LinearACCXXXVII () 155LinearACCXXXVIII () 155LinearACI (d) 154LinearACII (e) 154LinearACIII (f) 154LinearACIV (g) 154LinearACIX (l) 155LinearACL () 155LinearACLI () 155LinearACLII () 155LinearACLIII () 155

LinearACLIV () 155LinearACLIX () 156LinearACLV () 155LinearACLVI () 155

LinearACLVII () 156LinearACLVIII () 156LinearACLX () 156LinearACLXI ( ) 156LinearACLXII (iexcl) 156LinearACLXIII (cent) 156LinearACLXIV (pound) 156LinearACLXIX (uml) 156

LinearACLXV (curren) 156LinearACLXVI (yen) 156LinearACLXVII (brvbar) 156LinearACLXVIII (sect) 156LinearACLXX (copy) 156LinearACLXXI (ordf) 156LinearACLXXII (laquo) 156LinearACLXXIII (not) 156LinearACLXXIV (shy) 156

LinearACLXXIX () 156LinearACLXXV (reg) 156LinearACLXXVI (macr) 156LinearACLXXVII (deg) 156LinearACLXXVIII (plusmn) 156LinearACLXXX () 156LinearACLXXXI () 156

292

LinearACLXXXII () 156LinearACLXXXIII () 156LinearACLXXXIV () 156LinearACLXXXIX () 156LinearACLXXXV () 156LinearACLXXXVI () 156LinearACLXXXVII () 156

LinearACLXXXVIII () 156LinearACLXXXX () 156LinearACV (h) 154LinearACVI (i) 154LinearACVII (j) 154LinearACVIII (k) 155LinearACX (m) 155LinearACXCI () 156LinearACXCII (13) 156LinearACXCIII () 156LinearACXCIV () 156LinearACXCIX () 154LinearACXCV () 156LinearACXCVI () 156LinearACXCVII () 154LinearACXCVIII () 154LinearACXI (n) 155LinearACXII (o) 155LinearACXIII (p) 155LinearACXIV (q) 155LinearACXIX (v) 155

LinearACXL () 155LinearACXLI () 155LinearACXLII () 155LinearACXLIII () 155LinearACXLIV () 155LinearACXLIX () 155LinearACXLV () 155LinearACXLVI () 155LinearACXLVII () 155LinearACXLVIII () 155LinearACXV (r) 155LinearACXVI (s) 155LinearACXVII (t) 155

LinearACXVIII (u) 155LinearACXX (w) 155LinearACXXI (x) 155

LinearACXXII (y) 155LinearACXXIII (z) 155LinearACXXIV () 155

LinearACXXIX () 155

LinearACXXV (|) 155LinearACXXVI () 155LinearACXXVII (~) 155LinearACXXVIII () 155LinearACXXX () 155

LinearACXXXI () 155LinearACXXXII () 155

LinearACXXXIII () 155

LinearACXXXIV () 155LinearACXXXIX () 155

LinearACXXXV () 155LinearACXXXVI () 155LinearACXXXVII () 155LinearACXXXVIII () 155

LinearAI () 154

LinearAII () 154LinearAIII () 154LinearAIV () 154LinearAIX () 154

LinearAL (1) 155LinearALI (2) 155LinearALII (3) 155LinearALIII (4) 155LinearALIV (5) 155

LinearALIX () 156

LinearALV (6) 155LinearALVI (7) 155LinearALVII (8) 155

LinearALVIII (9) 155

LinearALX () 156LinearALXI (lt) 156LinearALXII (=) 156LinearALXIII (gt) 156LinearALXIV () 156

LinearALXIX (D) 156LinearALXV () 156

LinearALXVI (A) 156LinearALXVII (B) 156

LinearALXVIII (C) 156LinearALXX (E) 156LinearALXXI (F) 156

LinearALXXII (G) 156LinearALXXIII (H) 156LinearALXXIV (I) 156

LinearALXXIX (N) 156LinearALXXV (J) 156

LinearALXXVI (K) 156LinearALXXVII (L) 156LinearALXXVIII (M) 156LinearALXXX (O) 156LinearALXXXI (P) 156

LinearALXXXII (Q) 156LinearALXXXIII (R) 156

LinearALXXXIV (S) 156LinearALXXXIX (X) 156LinearALXXXV (T) 156LinearALXXXVI (U) 156

LinearALXXXVII (V) 156LinearALXXXVIII (W) 156LinearALXXXX (Y) 156LinearAV () 154

LinearAVI () 154LinearAVII () 154LinearAVIII () 154

LinearAX () 155

LinearAXCI (Z) 156

LinearAXCII ([) 156LinearAXCIII () 156LinearAXCIV (]) 156

LinearAXCIX (b) 154LinearAXCV (^) 156LinearAXCVI (_) 156LinearAXCVII (`) 156LinearAXCVIII (a) 156LinearAXI () 155LinearAXII () 155LinearAXIII () 155LinearAXIV (13) 155LinearAXIX () 155

LinearAXL () 155LinearAXLI (() 155

LinearAXLII ()) 155LinearAXLIII () 155

LinearAXLIV (+) 155

LinearAXLIX (0) 155

LinearAXLV () 155

LinearAXLVI (-) 155LinearAXLVII () 155LinearAXLVIII () 155LinearAXV () 155

LinearAXVI () 155LinearAXVII () 155

LinearAXVIII () 155LinearAXX () 155LinearAXXI () 155

LinearAXXII () 155

LinearAXXIII () 155

LinearAXXIV () 155LinearAXXIX () 155LinearAXXV () 155LinearAXXVI () 155

LinearAXXVII () 155LinearAXXVIII () 155LinearAXXX () 155

LinearAXXXI () 155LinearAXXXII () 155LinearAXXXIII ( ) 155LinearAXXXIV () 155LinearAXXXIX (amp) 155LinearAXXXV () 155LinearAXXXVI () 155LinearAXXXVII ($) 155LinearAXXXVIII () 155linearb (package) 157 158 247

248linefeed () 86linefeed () 89Lineload (L) 136linguistic symbols 17ndash20

Lisa (

) 189Lithuania () 194

293

liturgical music 165

lJoin (X) 53

lJoin (⋉) 35

LK () 134

ll () 68

ll (≪) 67

ll (≪) 70

ll (≪) 69

ll (≪) 72

llangle (⟪) 105

llangle (⦉) 103

llap 25 233

llarc () 126

llblacktriangle () 148

llbracket (~) 104

llbracket (

) 109

llceil (V) 102

llcorner (z) 102

llcorner (x) 102

llcorner (agrave) 102

llcorner () 106

llcorner () 105

llcorner () 103

llcurly (Icirc) 54

llcurly (ecirc) 60

LLeftarrow () 89

Lleftarrow (W) 75

Lleftarrow (reg) 86

Lleftarrow () 81

Lleftarrow () 78

Lleftarrow () 89

llfloor (T) 102

lll (Icirc) 68

lll (≪) 67

lll (≪ vs Icirc) 227

lll (Ouml) 71

lll (⋘) 70

lll (⋘) 69

lll (⋘) 72

llless see lll

llless (⋘) 70

llless (⋘) 69

llless (⋘) 72

lllnest (⫷) 72

llparenthesis (L) 102

llparenthesis (⦇) 103

lltriangle (◺) 148

lmoustache (⎧⎭) 104

lmoustache (

⎧⎪⎪⎪⎪⎭) 106

lmoustache (⎧⎪⎪⎪⎪⎭) 105

lmoustache (⎧

⎪

⎭

) 107

ln (ln) 96lnapprox (Ecirc) 68lnapprox () 67lnapprox () 71lnapprox (⪉) 70lnapprox (⪉) 69lnapprox (⪉) 72lneq (ň) 68lneq () 67lneq () 71lneq (⪇) 70lneq (⪇) 72lneqq (š) 68lneqq () 67lneqq () 71lneqq (≨) 70lneqq (≨) 69lneqq (≨) 72lnot see neg

lnot (not) 125lnot (not) 125lnot (not) 126lnsim (Auml) 68lnsim () 67lnsim () 71lnsim (⋦) 70lnsim (≴) 69lnsim (⋦) 71

LO () 134local ring (119978) see alphabets

mathlog (log) 96 240log-like symbols 96 240logic (package) 135logic gates 135logical operators

and see wedge

not see neg and sim

or see vee

logof () 53lollipop see multimap

long s (ſ) 229long division 112 114long-branch runes see normal

runeslonga (rsquo) 164longa (λ) 189longcastling (O-O-O) 186longdashv (⟞) 58longdashv (⟞) 61longdiv (package) 112longdivtex (file) 112

longdivision (⟌) 112 114

longhookrightarrow ( minus˓rarr) 92longleadsto (⟿) 82Longleftarrow (lArr=) 75

Longleftarrow (lArrOcirc) 77Longleftarrow (⟸) 81Longleftarrow (⟸) 89longleftarrow (larrETH) 77longleftarrow (larrminus) 75longleftarrow (⟵) 81longleftarrow (larrminus) 92longleftarrow (⟵) 89longleftfootline (⟝) 57longleftharpoondown (minus) 92longleftharpoonup (minus) 92Longleftrightarrow (lArrrArr) 75Longleftrightarrow (lArrrArr) 77Longleftrightarrow (⟺) 81Longleftrightarrow (⟺) 89longleftrightarrow (larrrarr) 77longleftrightarrow (larrrarr) 75longleftrightarrow (⟷) 81longleftrightarrow (larrrarr) 92longleftrightarrow (⟷) 89longleftsquigarrow (⬳) 82longleftsquigarrow (⬳) 89longleftwavearrow (⬳) 81Longmapsfrom (lArr=) 76Longmapsfrom (⟽) 58 81Longmapsfrom (⟽) 89longmapsfrom (larrminus[) 76longmapsfrom (⟻) 58 81longmapsfrom (larrminus[) 92longmapsfrom (⟻) 89Longmapsto (=rArr) 76Longmapsto (⟾) 81Longmapsto (⟾) 87longmapsto (zrarr) 77longmapsto (↦minusrarr) 75longmapsto (⟼) 81longmapsto (↦minusrarr) 92longmapsto (⟼) 87LongPulseHigh (amp) 130LongPulseLow () 130Longrightarrow (=rArr) 75Longrightarrow (OcircrArr) 77Longrightarrow (⟹) 81Longrightarrow (⟹) 87longrightarrow (ETHrarr) 77longrightarrow (minusrarr) 75longrightarrow (⟶) 81longrightarrow (minusrarr) 92longrightarrow (⟶) 87longrightfootline (⟞) 58longrightharpoondown (minus)

92longrightharpoonup (minus) 92longrightsquigarrow (⟿) 82longrightsquigarrow (⟿) 87longrightwavearrow (⟿) 81looparrowdownleft (icirc) 76looparrowdownleft (egrave) 87looparrowdownright (iuml) 76

294

looparrowdownright (eacute) 87looparrowleft (igrave) 76looparrowleft () 75looparrowleft ( ) 87looparrowleft () 81looparrowleft () 77looparrowleft () 87looparrowright (iacute) 76looparrowright () 75looparrowright (iexcl) 87looparrowright () 82looparrowright () 77looparrowright () 87Loosebearing ($) 136lor see vee

lor (or) 35lor (or) 36

LowerDiamond (o) 150lowering see textlowering

lowint (⨜) 49

lowintsl (⨜) 51

lowintup (⨜) 51

lozenge (diams) 124lozenge (acirc) 147lozenge (loz) 147lozenge (loz) 147lozenge (loz) 149lozengedot (ccedil) 147lozengeminus (⟠) 147lozengeminus (⟠) 40lozenges 124 147ndash149 173ndash178

181Lparen (() 129

lParen (

⦅

) 108

lparen (() 107

lparen (() 107Lparengtr (⦕) 103lparenless (⦓) 103lrarc () 126lrblacktriangle () 148lrcorner () 102lrcorner (y) 102lrcorner (aacute) 102

lrcorner () 106

lrcorner () 105

lrcorner () 103lrJoin see Join

lrtimes () 53lrtimes (⋈) 35lrtriangle (◿) 148lrtriangleeq (⧡) 74lsem (⟦) 107

lsem (LPPPPN) 105

lsemantic see ldbrack

lsf (ffl) 164

lsfz (ndash) 164

Lsh (egrave) 76

Lsh () 75

Lsh () 86

Lsh () 82

Lsh () 77

Lsh () 87

lsime (⪍) 71

lsimg (⪏) 71

lsqhook (⫍) 61

Lsteel () 136

Lt (Icirc) 71

Lt (⪡) 71

ltcc (⪦) 71

ltcc (⪦) 71

ltcir (oslash) 71

ltcir (⩹) 71

ltimes (˙) 33

ltimes (n) 31

ltimes (Ocirc) 35

ltimes (⋉) 34 35

ltimes (⋉) 33

ltimes (⋉) 36

ltimesblack (eacute) 35

ltlarr (⥶) 71

ltquest (⩻) 71

ltriple 109

ltrivb (⧏) 74

LU () 134

LuaLATEX 163

Luecking Dan 233

Luxembourg () 194

lVert () 104

lVert (||) 109

lVert (

∥∥∥∥∥∥) 106

lvert (|) 104

lvert (

∣∣∣∣∣∣) 106

lvertneqq (ť) 68

lvertneqq () 67

lvertneqq () 71

lvertneqq (≨) 71

lvertneqq (≨) 69

lvertneqq (≨) 71

lVvert (

AringAringAringAringAringAring) 106

Lvzigzag (⧚) 103

lvzigzag (⧘) 103

lwave (

ETH

ETH

ETH

ETH

) 108

lWavy (______) 105

lwavy (^^) 105

lz (1) 19

MM 16M (

macr) 188

m 16m (

macr) 188

m (m) 162ma (times) 188Macedonia () 194macron (a) 24macron (a) see accents

Maggie ( ) 189

magic (package) 224 247Magic The Gathering symbols

224magical signs 190magnon (Iacute) 138majuscules 97makeatletter 233makeatother 233MALE () 136Male (|) 136male 131ndash133 136 197ndash202

206ndash209male () 136male () 136MaleMale () 136Malta () 194maltese (z) 15maltese (icirc) 125maltese () 125maltese () 125maltese () 126man 153 182 197 204ndash206

217ndash221manboldkidney () 181manconcentriccircles ($)

181manconcentricdiamond ()

181mancone () 181mancube () 181manerrarrow (y) 181ManFace (yuml) 182manfilledquartercircle ()

181manfnt (package) 181 247manhpennib () 181manimpossiblecube () 181mankidney () 181manlhpenkidney () 181manpenkidney () 181

manquadrifolium (amp) 181manquartercircle ( ) 181

295

manrotatedquadrifolium () 181

manrotatedquartercircle () 181

manstar () 181mantiltpennib () 181mantriangledown (7) 181mantriangleright (x) 181mantriangleup (6) 181manvpennib () 181map symbols 204ndash206Mappedfromchar () 95mappedfromchar () 95maps 194Mapsdown () 82mapsdown () 86mapsdown () 82mapsdown () 87Mapsfrom (lArr) 76Mapsfrom (agrave) 86Mapsfrom (⤆) 82Mapsfrom (⤆) 87mapsfrom (larr[) 76mapsfrom () 86mapsfrom () 82mapsfrom (larr[) 92mapsfrom () 87Mapsfromchar (ucirc) 95Mapsfromchar () 95mapsfromchar (szlig) 95mapsfromchar ([) 95mapsfromchar () 96Mapsto (rArr) 76Mapsto (aacute) 86Mapsto (⤇) 83Mapsto (⤇) 87mapsto (↦rarr) 75mapsto () 86mapsto (↦) 82mapsto (↦) 78mapsto (↦rarr) 92mapsto (↦) 87Mapstochar (uacute) 95Mapstochar () 95mapstochar (THORN) 95mapstochar () 96Mapsup (-) 83mapsup () 86mapsup () 83mapsup () 87marcato ( ) 168marcatoDown ( ) 168

Marge (

) 189markera (x) 186

markerb (y) 186married see textmarried

Mars (D) 132Mars (Auml) 132Mars (h) 133mars () 131marvosym (package) 25

26 122 132 134 136 141143 182 192 227

masonic cipher 191mate (m) 186material biconditional

see leftrightarrow andequiv

material conditional seerightarrow and supset

material equivalence see leftrightarrow and

equiv

material implication seerightarrow and supset

material nonimplication see nrightarrow andnsupset

math alphabets 128mathabx (package) 30 33 37

43 54 65 68 73 76 7795 100 102 104 110 114122 124 132 186 226 227247

mathaccent 230 231mathbb 128 129mathbbm 128mathbbmss 128mathbbmtt 128mathbbol (package) 128 129mathbf 241mathbin 239mathbold 241mathcal (euscript package option)

128mathcal 128 131mathcent (cent) 100mathchoice 232mathclose 239mathcloud ( ) 40mathcolon (∶) 120mathcomp (package) 121mathdesign (package) 26 37 51

101 108 127 247mathdollar ($) 30mathdollar ($) 101mathdots (package) 110 119

120 234 247mathds 128mathellipsis ( ) 30mathellipsis (hellip) 120mathematical symbols 30ndash129mathfrak 128

mathghost ( ) 40mathit 128mathleftghost ( ) 40mathnormal 128mathop 239mathopen 239mathord 239mathpalette 232 233mathparagraph (para) 30mathparagraph (para) 101mathpunct 239mathratio (∶) 120mathrel 230 239mathrightghost ( ) 40mathring ( ) 111mathring ( ) 110 112mathrm 128mathrsfs (package) 128 247mathscr (euscript package option)

128mathscr (urwchancal package op-

tion) 128mathscr 128mathsection (S) 30mathsection (sect) 126

mathslash () 106

mathslash () 107mathspec (package) 97mathspecsty (file) 97mathsterling (pound) 100mathsterling ($) 30mathsterling (pound) 101mathtools (package) 30 62 92

114 116 247mathunderscore ( ) 30mathvisiblespace () 126mathwitch ( ) 40mathwitch ( ) 40max (max) 96maxima ($) 164Maxwell-Stefan diffusion coeffi-

cient seeDH

maxwellDistrib (120556) 138maya 122Mayan numerals 122Mb (˘) 188mb (˘) 188Mbb (˘ ) 188mBb (˘ ) 188mbB (˘ ) 188mbb (˘ ) 188mbboard (package) 128 129 247mbbx (˘ macr

) 188mbox 232 233MC (3) 133mdblkcircle () 148

296

mdblkdiamond () 39mdblkdiamond () 148mdblklozenge (⧫) 147mdblklozenge () 148mdblksquare () 39mdblksquare (◼) 148mdlgblkcircle () 39mdlgblkcircle () 148mdlgblkdiamond () 39mdlgblkdiamond () 148mdlgblklozenge (⧫) 147mdlgblklozenge (⧫) 40 149mdlgblksquare () 39mdlgblksquare () 148 149mdlgwhtcircle () 39mdlgwhtcircle () 40mdlgwhtdiamond () 39mdlgwhtdiamond () 148mdlgwhtlozenge (loz) 147mdlgwhtlozenge (loz) 148mdlgwhtsquare () 39mdlgwhtsquare () 148 149mdsmblkcircle (⦁) 148mdsmblksquare (◾) 148mdsmwhtcircle () 148mdsmwhtsquare (◽) 148mdwhtcircle () 148mdwhtdiamond () 39mdwhtdiamond () 148mdwhtlozenge (loz) 147mdwhtlozenge () 148mdwhtsquare () 39mdwhtsquare (◻) 149mdwmath (package) 116 247

248measangledltosw (⦯) 123measangledrtose (⦮) 123measangleldtosw (⦫) 123measanglelutonw (⦩) 123measanglerdtose (⦪) 123measanglerutone (⦨) 123measangleultonw (⦭) 123measangleurtone (⦬) 123measeq (≞) 61measuredangle (gt) 124measuredangle (]) 123measuredangle (Ouml) 123measuredangle (∡) 123measuredangle (∡) 123measuredangle (∡) 123measuredangleleft (⦛) 123measuredangleleft (⦛) 123measuredrightangle (aacute) 123measuredrightangle (⊾) 123measuredrightangle (⊾) 123measuredrightangledot (⦝)

123mechanical scaling 236 239medbackslash (∖) 34 35

medbackslash (∖) 33 34medblackcircle () 39medblackdiamond () 39medblacklozenge (⧫) 147medblacksquare () 39medblackstar () 39medblackstar () 149medblacktriangledown () 38

74medblacktriangleleft () 38

74medblacktriangleright ()

38 74medblacktriangleup () 38

74medbullet () 32medcirc () 32medcircle () 38medcircle () 33meddiamond () 38meddiamond () 38media control symbols 182

199ndash202medieval runes 162medlozenge (loz) 147medlozenge (loz) 147medslash (∕) 34 35 38medslash (∕) 33medsquare () 38medsquare (◻) 38medstar () 39medstar () 38medstarofdavid () 147medtriangledown () 38 74medtriangledown () 38 73medtriangleleft (◁) 38 74medtriangleleft (◁) 38 73medtriangleright (▷) 38 74medtriangleright (▷) 38 73medtriangleup () 38 74medtriangleup () 38 73medvert (∣) 33 34medvertdot () 33medwhitestar () 38medwhitestar () 149Mellin transform (ℳ) see

alphabets mathmembership see in

Mercury (A) 132Mercury (Acirc) 132Mercury (f) 133mercury () 131merge () 32merge () 35METAFONT 12 129 236ndash239METAFONTbook symbols 181metalbond (Ccedil) 138meterplus (9) 164method (119860) 138

metre (package) 24 110 188247

metre 188metrical symbols 188 189mezzo ( ) 168 179mf files 12 204 236mglgwhtcircle () 149mglgwhtlozenge (loz) 149mho (f) 124mho () 99miama (emf package option) 131micro see textmu

micro (micro) 130

Microsoftreg Windowsreg 244mid (|) 52 105mid (∣) 58mid (∣) 61midbarvee (⩝) 36midbarwedge (⩜) 36midcir (⫰) 94midcir (⫰) 61middle 103middlebar ( ) 111middleslash ( ) 111midtilde () 25MIL-STD-806 135millesimal sign see

textperthousand

milstd (package) 135 247 248min (min) 96 240MineSign (sup3) 182minim see musical symbolsminim () 166minimDotted ( u ) 166minimDottedDouble ( uu ) 166minimDottedDoubleDown (

uu)

166minimDottedDown (

u) 166

minimDown () 166

Minkowski space (M) seealphabets math

minus see textminus

minus (minus) 34minus (minus) 33minus double-dotted (divide) see

div

minuscolon (minus) 64minuscoloncolon (minus) 64minusdot (⨪) 34minusdot () 33minusdot (⨪) 36minusfdots (⨫) 34minusfdots (⨫) 36minushookdown (not) 125minushookdown (not) 125minushookup (⨼) 35minushookup (⨼) 125minuso () 32 231minuso (eacute) 35

297

minusrdots (⨬) 34minusrdots (⨬) 36minutes angular see prime

miscellaneous symbols 124 125127 152 181ndash198 203

ldquoMissing $ insertedrdquo 30mlcp (⫛) 61Mmappedfromchar () 95mmappedfromchar () 95Mmapstochar () 95mmapstochar () 95MnSymbol (package) 30 33 34

38 46 47 55ndash57 66 69 7377ndash81 93 94 99 100 105111ndash113 120 123 125 147151 163 247

Moai ( ) 197Mobilefone (H) 136mod 96models (|=) 52 230models (⊧) 58models (⊧) 56models (⊧) 61modtwosum (⨊) 48

modtwosum (⨊

) 49moduli space see alphabets

mathMoldova () 194monetary symbols 26 27 129Montenegro () 194monus see dotdiv

moo () 32moo (aelig) 35Moon (K) 132Moon (Aacute) 132Moon (d) 133moon 131ndash133 191 206ndash209MoonPha 191moonphase (package) 206 247Mordent (w) 164mordent (Y) 164morepawns (S) 186moreroom (U) 186Mountain () 183mouse see ComputerMouse

MoveDown (raquo) 182moverlay 233MoveUp (ordm) 182mp (∓) 31mp (yuml) 35mp (∓) 34mp (∓) 34mp (∓) 36Mu (M) 97mu (120583) 97multiline braces 115multimap (() 52 53multimap (sup3) 60multimap (⊸) 94

multimap (⊸) 93multimap (⊸) 61multimapboth () 53multimapboth (Agrave) 60multimapboth (˛) 64multimapbothvert () 53multimapbothvert (AElig) 60multimapdot () 53multimapdot (acute) 60multimapdotboth () 53multimapdotboth (Aacute) 60multimapdotbothA () 53multimapdotbothA (Atilde) 60multimapdotbothAvert () 53multimapdotbothAvert (Eacute) 60multimapdotbothB () 53multimapdotbothB (Acirc) 60multimapdotbothBvert () 53multimapdotbothBvert (Egrave) 60multimapdotbothvert () 53multimapdotbothvert (Ccedil) 60multimapdotinv () 53multimapdotinv (Aring) 60multimapinv () 53multimapinv (Auml) 60multimapinv (⟜) 94multimapinv (⟜) 61multiple accents per character

234MultiplicationDot (divide) 122multiplicative disjunction

see bindnasrepmainvamp and parr

Mundus (m) 182muon (119909) 138Museum of Icelandic Sorcery and

Witchcraft 191musical symbols 28 163ndash180

197ndash202musixgre (package) 165musixlit (package) 165musixper (package) 165MusiXTEX 164 165musixtex (package) 247 248muup (micro) 98MVAt () 182MVComma () 122MVDivision () 122MVEight (8) 122MVFive (5) 122MVFour (4) 122MVLeftBracket (() 122MVMinus (-) 122MVMultiplication () 122MVNine (9) 122MVOne (1) 122MVPeriod () 122MVPlus (+) 122MVRightArrow () 122

MVRightBracket ()) 122MVSeven (7) 122MVSix (6) 122MVThree (3) 122MVTwo (2) 122MVZero (0) 122

Nn (n) 162nabla (nabla) 124nabla (nabla) 125nabla (nabla) 126nacwcirclearrowdown (deg) 83nacwcirclearrowleft (macr) 83nacwcirclearrowright (plusmn) 83nacwcirclearrowup (reg) 83nacwgapcirclearrow (deg) 84nacwleftarcarrow () 83nacwnearcarrow (iexcl) 83nacwnwarcarrow (cent) 83nacwopencirclearrow (macr) 84nacwoverarcarrow () 83nacwrightarcarrow () 83nacwsearcarrow ( ) 83nacwswarcarrow (pound) 83nacwunderarcarrow () 83NAK () 135NAND gates 135

NANDd () 135

NANDl () 135

NANDr () 135

NANDu () 135napprox (ff) 54napprox (≉) 59napprox (≉) 56napprox (≉) 62napproxeq (6) 54napproxeq (u) 59napproxeq () 56napproxeqq () 62napproxident (o) 59narceq () 59 95nAssert (⊮) 59nassert (auml) 59nasymp (-) 54nasymp (≭) 59 95nasymp (≭) 94nasymp (≭) 62Natal (0) 133nath (package) 103 109 247

NATURAL (frac14) 96

Natural (Icirc) 96

298

natural () 163natural (uacute) 163natural () 163

natural ( ) 167natural () 163natural () 163natural numbers (N) see

alphabets mathnbackapprox () 56nbackapproxeq () 56nbackcong (t) 59nbackcong () 56nbackeqsim () 56nbacksim () 54nbacksim (m) 59nbacksim () 56nbacksimeq (+) 54nbacksimeq (q) 59nbacksimeq () 56nbacktriplesim () 56nBarv (divide) 59nbarV (euml) 59nbdleftarcarrow (yen) 83nbdnearcarrow (laquo) 83nbdnwarcarrow (uml) 83nbdoverarcarrow (curren) 83nbdrightarcarrow (sect) 83nbdsearcarrow (ordf) 83nbdswarcarrow (copy) 83nbdunderarcarrow (brvbar) 83nblackwhitespoon (r) 94NBSP ( ) 135NBSP ( ) 135nBumpeq ()) 54nBumpeq (x) 59nBumpeq () 56nBumpeq () 62nbumpeq (() 54nbumpeq (v) 59nbumpeq () 56nbumpeq () 62nbumpeqq (w) 59ncirceq () 59ncirceq (sup3) 56ncirclearrowleft (macr) 84ncirclearrowleft (ugrave) 80ncirclearrowright (sup3) 84ncirclearrowright (yacute) 80ncirmid (i) 94nclosedequal (eacute) 56nclosure () 59 95ncong (fl) 54

ncong () 53

ncong () 60ncong (≇) 59ncong (≇) 56ncong (≇) 62ncongdot () 62

ncurlyeqprec (yuml) 54ncurlyeqprec (ETH) 59ncurlyeqprec (ograve) 56ncurlyeqsucc (ź) 54ncurlyeqsucc (Ntilde) 59ncurlyeqsucc (oacute) 56ncurvearrowdownup (Euml) 79ncurvearrowleft () 84ncurvearrowleft (Acirc) 80ncurvearrowleftright (Egrave) 79ncurvearrownesw (Igrave) 79ncurvearrownwse (Iacute) 79ncurvearrowright () 84ncurvearrowright (cedil) 80ncurvearrowrightleft (Ecirc) 79ncurvearrowsenw (Iuml) 79ncurvearrowswne (Icirc) 79ncurvearrowupdown (Eacute) 79ncwcirclearrowdown (sup2) 83ncwcirclearrowleft (micro) 83ncwcirclearrowright (sup3) 83ncwcirclearrowup (acute) 83ncwgapcirclearrow (sup2) 84ncwleftarcarrow () 83ncwnearcarrow () 83ncwnwarcarrow () 83ncwopencirclearrow (sup3) 84ncwoverarcarrow () 83ncwrightarcarrow () 84ncwsearcarrow () 84ncwswarcarrow () 84ncwunderarcarrow () 84ndasharrow (`) 84ndasharrow (`) 80ndasheddownarrow (c) 79ndashedleftarrow (b) 79ndashednearrow (d) 79ndashednwarrow (e) 79ndashedrightarrow (`) 79ndashedsearrow (g) 79ndashedswarrow (f) 79ndasheduparrow (a) 79ndashleftarrow (b) 84ndashleftarrow (b) 80ndashrightarrow (`) 84ndashrightarrow (`) 80nDashV (+) 54nDashV (uacute) 59nDashv (+) 54nDashv (ecirc) 59ndashV () 54ndashV (ograve) 59ndashv (rsquo) 54ndashv (acirc) 59ndashv (Uacute) 57ndashVv () 54ndashVv (yacute) 59nDdashv (yuml) 59nDdownarrow (sup1) 84

nddtstile ( ) 63

ndiagdown (Oacute) 57ndiagup (Ograve) 57ndivides (∤) 57nDoteq () 59nDoteq () 56ndoteq (y) 59ndoteq () 56ndoublefrown () 94ndoublefrowneq () 94ndoublesmile () 94ndoublesmileeq () 94nDownarrow () 84nDownarrow () 79ndownarrow () 84ndownarrow () 79ndownarrowtail () 84ndownarrowtail () 79ndownAssert (divide) 59ndownassert (ccedil) 59ndownbkarrow (c) 84ndownblackspoon (o) 94ndowndownarrows () 84ndowndownarrows () 79ndownfilledspoon (s) 93ndownfootline () 56ndownfree (⫝̸) 56ndownharpoonccw (C) 81ndownharpooncw (K) 81ndownharpoonleft (K) 85ndownharpoonright (C) 85ndownlcurvearrow () 84ndownleftcurvedarrow (cent) 84ndownlsquigarrow () 84ndownlsquigarrow (pound) 79nDownmapsto () 84ndownmapsto (+) 84ndownmapsto (+) 79ndownModels (oacute) 56ndownmodels (iuml) 59ndownmodels (atilde) 56ndownpitchfork (w) 95ndownpitchfork () 93ndownrcurvearrow () 84ndownrightcurvedarrow ()

84ndownrsquigarrow () 84ndownrsquigarrow (laquo) 79ndownspoon (k) 94ndownspoon (k) 93ndownuparrows () 84ndownuparrows () 79ndownupcurvearrow (sect) 84ndownupharpoons (]) 85ndownupharpoons (]) 81ndownupharpoonsleftright

(]) 85ndownupsquigarrow () 84ndownVDash (ucirc) 59

299

ndownVdash (oacute) 59ndownVdash (euml) 56ndownvDash (euml) 59ndownvdash (atilde) 59ndownvdash (Ucirc) 56ndownwavearrow () 84

ndststile ( ) 63

ndtstile ( ) 63

ndttstile ( ) 63

ndualmap (p) 94NE () 134ne see neq

ne (ne) 59ne (ne) 57ne (ne) 62Nearrow (t) 76Nearrow () 86Nearrow () 82Nearrow () 77Nearrow () 87nearrow (Otilde) 76nearrow () 75 233nearrow () 82nearrow () 77nearrow () 92nearrow () 88nearrowcorner () 86nearrowtail ($) 82nearrowtail ($) 77nebkarrow (d) 82nefilledspoon (t) 93nefootline (|) 55nefree () 55neg (not) 124neg (not) 125neg (not) 125neg (not) 126negation see neg and sim

neharpoonccw (D) 80neharpooncw (L) 80neharpoonnw (D) 85neharpoonse (L) 85nelcurvearrow () 83nelsquigarrow (curren) 77nemapsto () 77neModels (ocirc) 55nemodels (auml) 55nenearrows (|) 82nenearrows () 77neovnwarrow (⤱) 88neovsearrow (⤮) 88nepitchfork () 93Neptune (H) 132Neptune (Egrave) 132Neptune (G) 133neptune ([) 131neq (permil) 54neq () 67

neq (auml) 60neq (ne) 59neq (ne) 57neq (ne) 62neqbump () 56neqcirc () 59neqcirc (sup2) 56neqdot (z) 59neqdot () 56neqfrown () 94neqsim (r) 59neqsim () 56neqsim () 62neqslantgtr (ź) 68neqslantgtr (Iuml) 70neqslantgtr (ntilde) 69neqslantgtr () 71neqslantless (yuml) 68neqslantless (Icirc) 70neqslantless (eth) 69neqslantless () 71neqsmile () 94nequal (ne) 59nequal (ne) 57nequalclosed (ecirc) 57nequiv () 54nequiv () 60nequiv (≢) 59nequiv (≢) 57nequiv (≢) 62nequivclosed (euml) 57nercurvearrow (⤴) 83nersquigarrow (not) 77nespoon (l) 93Neswarrow () 82Neswarrow () 77neswarrow () 233neswarrow (⤡) 82neswarrow (⤡) 77neswarrow (⤢) 88neswarrows () 82neswarrows () 77neswbipropto () 34neswcrossing () 57neswcurvearrow (uml) 83neswharpoonnwse (R) 85neswharpoonnwse (R) 80neswharpoons (Z) 85neswharpoons (Z) 80neswharpoonsenw (V) 85neswharpoonsenw (V) 80Neswline (Ouml) 55neswline (Ograve) 55Netherlands () 194neumes 165neuter () 136Neutral () 136Neutrey ( ) 196neutrino (119873) 138

neutron (119892) 138neVdash (igrave) 55nevdash (Uuml) 55new (old-arrows package option)

92newextarrow 117newmetrics 189newmoon (N) 132newmoon ( ) 131newtie (a) 21nexists (E) 100nexists () 100nexists (acirc) 101nexists (∄) 101nexists (∄) 100nexists (∄) 101nfallingdotseq (|) 59nfallingdotseq () 57nforksnot (⫝̸) 62nfrown () 59 95nfrown () 94nfrowneq () 59 95nfrowneq () 94nfrowneqsmile () 94nfrownsmile () 59 95nfrownsmile () 94nfrownsmileeq (iexcl) 94NG () 134NG (Ŋ) 162NG (Ŋ) 15ng (ŋ) 162ng (ŋ) 15nge (≱) 72ngeq (ğ) 68

ngeq () 67 68

ngeq () 71ngeq (≱) 70ngeq (≱) 69ngeq (≱) 71 72ngeqclosed (⋭) 70 74ngeqclosed (⋭) 69 73ngeqdot (Euml) 70ngeqdot (iacute) 69ngeqq (ś) 68

ngeqq () 67

ngeqq () 71ngeqq () 70ngeqq (iquest) 69ngeqq () 72

ngeqslant () 67

ngeqslant () 71ngeqslant () 70ngeqslant (≱) 69ngeqslant () 72ngeqslantdot (Iacute) 70ngeqslantdot (iuml) 69ngeqslcc (laquo) 70ngescc (laquo) 71

300

ngesdot (Iacute) 71ngesl () 71ngets (↚) 84ngets (↚) 80ngets (↚) 90ngg (4) 68ngg (iexcl) 70ngg (Eacute) 69ngg () 72nggg (pound) 70nggg (Euml) 69ngtcc (copy) 70ngtr (č) 68ngtr (≯) 67ngtr () 71ngtr (≯) 70ngtr (≯) 69ngtr (≯) 72ngtrapprox (Eacute) 68ngtrapprox () 68ngtrapprox () 70ngtrcc (copy) 70ngtrclosed (⋫) 70 74ngtrclosed (⋫) 69 73ngtrdot (Eacute) 70ngtrdot (euml) 69ngtreqless () 70

ngtreqless (Atilde) 69

ngtreqlessslant () 70

ngtreqlessslant (Ccedil) 69

ngtreqqless () 70

ngtreqqless (Aring) 69

ngtreqslantless () 70ngtrless (amp) 68ngtrless (≹) 70

ngtrless (≹) 69

ngtrless (≹) 72ngtrsim (Atilde) 68ngtrsim () 68ngtrsim (≵) 70ngtrsim (≵) 72nhateq () 59nhateq (micro) 57nHdownarrow () 87nHdownarrow () 90nhknearrow (lt) 84nhknwarrow (5) 84nhksearrow (7) 84nhkswarrow (gt) 84nhookdownarrow () 84nhookleftarrow () 84nhookleftarrow () 80nhooknearrow (lt) 84nhooknwarrow (5) 84nhookrightarrow (0) 84nhookrightarrow (0) 80nhooksearrow (7) 84

nhookswarrow (gt) 84nhookuparrow (1) 84nhpar (⫲) 62nHuparrow () 87nHuparrow () 90nhVvert (⫵) 36ni (ni) 100 231ni (ni) 58ni (ni) 101ni (ni) 100ni (ni) 61 62nialpha () 19nibar see ownsbar

nibeta () 19

NibLeft () 141

NibRight () 141nibs 141 142

NibSolidLeft ( ) 141

NibSolidRight () 141nicefrac (package) 126 247 248niceframe (package) 210ndash213 217NiceReapey ( ) 196nichi ([) 19niepsilon () 19nigamma () 19niiota ()) 19nilambda (2) 19nimageof (r) 94nin (notin) 59 101nin (notin) 100Ninja ( ) 196niobar (⋾) 61niomega (gt) 19niphi (C) 19niplus (B) 53niplus (middot) 60nis (⋼) 61nisd (=) 60nisd (⋺) 61nisigma (O) 19nitheta (S) 19niupsilon (V) 19niv ( ) 103nj (7) 19nkarta (package) 204 247nlcirclearrowdown (yuml) 79nlcirclearrowleft (thorn) 79nlcirclearrowright (uuml) 79nlcirclearrowup (yacute) 79nlcurvearrowdown (raquo) 79nlcurvearrowleft (ordm) 79nlcurvearrowne (frac14) 79nlcurvearrownw (frac12) 79nlcurvearrowright (cedil) 79nlcurvearrowse (iquest) 79nlcurvearrowsw (frac34) 79nlcurvearrowup (sup1) 79nle (≰) 72

nleadsto () 85nleadsto ( ) 80nLeftarrow (ouml) 76nLeftarrow () 75nLeftarrow (laquo) 87nLeftarrow () 83nLeftarrow () 79nLeftarrow () 90nleftarrow (Uacute) 76nleftarrow (8) 75nleftarrow (uml) 87nleftarrow (↚) 83nleftarrow (↚) 79nleftarrow (↚) 90nleftarrowtail () 83nleftarrowtail () 79nleftAssert (ouml) 59nleftassert (aelig) 59nleftbkarrow (b) 83nleftblackspoon (n) 94nleftcurvedarrow () 85nleftdowncurvedarrow () 84nleftfilledspoon (r) 93nleftfootline (not) 59nleftfootline (z) 56nleftfree () 56nleftharpoonccw (B) 81nleftharpooncw (J) 81nleftharpoondown (B) 85nleftharpoonup (J) 85nleftlcurvearrow () 84nleftleftarrows (z) 83nleftleftarrows () 79nleftlsquigarrow () 84nleftlsquigarrow (cent) 79nLeftmapsto () 83nleftmapsto () 83nleftmapsto () 79nleftModels (ograve) 56nleftmodels (icirc) 59nleftmodels (acirc) 56nleftpitchfork (v) 95nleftpitchfork () 93nleftrcurvearrow () 84nLeftrightarroW (deg) 87nLeftrightarrow (oslash) 76nLeftrightarrow (lt) 75nLeftrightarrow (shy) 87nLeftrightarrow (⇎) 83nLeftrightarrow (⇎) 79nLeftrightarrow (⇎) 90nleftrightarrow (Uuml) 76nleftrightarrow (=) 30 75nleftrightarrow (ordf) 87nleftrightarrow (↮) 83nleftrightarrow (↮) 79nleftrightarrow (↮) 90nleftrightarrows () 83nleftrightarrows () 79

301

nleftrightblackspoon (q) 94nleftrightcurvearrow (curren) 84nleftrightharpoondownup (T)

85nleftrightharpoondownup (T)

81nleftrightharpoons () 85nleftrightharpoons () 81nleftrightharpoonupdown (P)

85nleftrightharpoonupdown (P)

81nLeftrightline (Ocirc) 56nleftrightline (ETH) 56nleftrightspoon (p) 94nleftrightsquigarrow () 84nleftrightsquigarrow (deg) 80nleftrightwavearrow () 83nleftrsquigarrow () 84nleftrsquigarrow (ordf) 79nleftspoon (j) 94nleftspoon (j) 93nleftsquigarrow () 84nleftupcurvedarrow (iexcl) 84nleftVDash (uacute) 59nleftVdash (ograve) 59nleftVdash (ecirc) 56nleftvDash (ecirc) 59nleftvdash (acirc) 59nleftvdash (Uacute) 56nleftwavearrow () 83nleq (ę) 68

nleq () 67 68

nleq () 71nleq (≰) 70nleq (≰) 69nleq (≰) 72nleqclosed (⋬) 70 74nleqclosed (⋬) 69 73nleqdot (Ecirc) 70nleqdot (igrave) 69nleqq (ř) 68

nleqq () 67

nleqq () 71nleqq () 70nleqq (frac34) 69nleqq () 72

nleqslant () 67

nleqslant () 71nleqslant () 70nleqslant (≰) 69nleqslant () 72nleqslantdot (Igrave) 70nleqslantdot (icirc) 69nleqslcc (ordf) 70nlescc (ordf) 70nlesdot (Igrave) 70

nlesg () 70

nless (ć) 68nless (≮) 67nless () 71nless (≮) 70nless (≮) 69nless (≮) 72nlessapprox (Egrave) 68nlessapprox () 68nlessapprox () 70nlesscc (uml) 70nlessclosed (⋪) 70 74nlessclosed (⋪) 69 73nlessdot (Egrave) 70nlessdot (ecirc) 69

nlesseqgtr () 70

nlesseqgtr (Acirc) 69

nlesseqgtrslant () 71

nlesseqgtrslant (AElig) 69

nlesseqqgtr () 70

nlesseqqgtr (Auml) 69

nlesseqslantgtr () 70nlessgtr () 68nlessgtr (≸) 70

nlessgtr (≸) 69

nlessgtr (≸) 72nlesssim (Acirc) 68nlesssim ( ) 68nlesssim (≴) 70nlesssim (≴) 72nlhookdownarrow (3) 79nlhookleftarrow (2) 80nlhooknearrow (4) 80nlhooknwarrow (5) 79nlhookrightarrow (0) 79nlhooksearrow (7) 79nlhookswarrow (6) 79nlhookuparrow (1) 79nll (3) 68nll ( ) 70nll (Egrave) 69nll () 72nLleftarrow (cedil) 83nLleftarrow (otilde) 79nlll (cent) 70nlll (Ecirc) 69nlongdashv (Ccedil) 59nlongleadsto (Auml) 84nLongleftarrow (frac12) 83nlongleftarrow (raquo) 83nlongleftfootline (AElig) 59nLongleftrightarrow (iquest) 83nlongleftrightarrow (frac34) 83nlongleftsquigarrow (Aring) 84nlongleftwavearrow (Aring) 83nLongmapsfrom (Atilde) 59 83nlongmapsfrom (Aacute) 59 83nLongmapsto (Acirc) 83

nlongmapsto (Agrave) 83nLongrightarrow (frac14) 83nlongrightarrow (ordm) 83nlongrightfootline (Ccedil) 59nlongrightsquigarrow (Auml)

84nlongrightwavearrow (Auml) 83nltcc (uml) 71nMapsdown () 84nmapsdown (+) 84nMapsfrom () 84nmapsfrom () 84nMapsto () 84nmapsto (() 84nmapsto (() 80nMapsup (-) 84nmapsup ()) 84nmid (-) 53nmid (shy) 60nmid (∤) 59nmid (∤) 57nmid (∤) 62nmidcir (k) 94nmodels (igrave) 59nmodels (⊭) 57nmultimap (h) 94nmultimap (h) 93nmultimapinv (j) 94NN (amp) 134

nndtstile ( ) 63nNearrow () 83nNearrow () 79nnearrow (1) 76nnearrow (igrave) 86nnearrow () 83nnearrow () 79nnearrowtail ($) 83nnearrowtail ($) 79nnebkarrow (d) 84nnefilledspoon (t) 93nnefootline (|) 56nnefree () 56nneharpoonccw (D) 81nneharpooncw (L) 81nneharpoonnw (D) 85nneharpoonse (L) 85nnelcurvearrow () 84nnelsquigarrow (curren) 79nnemapsto () 79nneModels (ocirc) 56nnemodels (auml) 56nnenearrows (|) 84nnenearrows () 79nnepitchfork () 93nnercurvearrow ( ) 84nnersquigarrow (not) 79nnespoon (l) 93

nNeswarrow () 84

302

nNeswarrow () 79nneswarrow () 84nneswarrow () 79nneswarrows () 84nneswarrows () 79nneswcurvearrow (uml) 84nneswharpoonnwse (R) 85nneswharpoonnwse (R) 81nneswharpoons (Z) 85nneswharpoons (Z) 81nneswharpoonsenw (V) 85nneswharpoonsenw (V) 81nNeswline (Ouml) 56nneswline (Ograve) 56nneVdash (igrave) 56nnevdash (Uuml) 56nni (∌) 59nni (ni) 101nni (∌) 62

nnststile ( ) 63

nntstile ( ) 63

nnttstile ( ) 63nNwarrow (13) 84nNwarrow (13) 79nnwarrow (0) 76nnwarrow (icirc) 86nnwarrow () 84nnwarrow () 79nnwarrowtail () 84nnwarrowtail () 79nnwbkarrow (e) 84nnwfilledspoon (u) 93nnwfootline () 56nnwfree () 56nnwharpoonccw (E) 81nnwharpooncw (M) 81nnwharpoonne (M) 85nnwharpoonsw (E) 85nnwlcurvearrow () 84nnwlsquigarrow (yen) 79nnwmapsto (-) 79nnwModels (otilde) 56nnwmodels (aring) 56nnwnwarrows () 84nnwnwarrows () 79nnwpitchfork () 93nnwrcurvearrow (iexcl) 85nnwrsquigarrow (shy) 79

nNwsearrow () 84nNwsearrow () 79nnwsearrow () 84nnwsearrow () 79nnwsearrows () 84nnwsearrows () 79nnwsecurvearrow (copy) 85nnwseharpoonnesw (S) 85nnwseharpoonnesw (S) 81nnwseharpoons (_) 85

nnwseharpoons (_) 81nnwseharpoonswne (W) 85nnwseharpoonswne (W) 81nNwseline (times) 56nnwseline (Oacute) 56nnwspoon (m) 93nnwVdash (iacute) 56nnwvdash (Yacute) 56no entry see noway

NoBleech (Igrave) 182NoChemicalCleaning (uml) 182nointegrals (wasysym package op-

tion) 43NoIroning (sup2) 182non-commutative division 119nonbreaking space 135NOR gates 135

NORd () 135norigof (s) 94

NORl () 135norm see lVert and rVert

normal runes 162

NORr (13) 135NorthNode (k) 133

NORu () 135

Norway () 194

NoSun () 183Not (⫬) 61not see neg

not 54 232not equal ( shy= vs shy=) 54notasymp (ffi) 54notbackslash (∖minus) 133notbot (M) 100notbot (Yacute) 125notchar () 61NotCongruent (^) 122notdivides (ffl) 54notequiv (ı) 54notin (R) 100notin (lt) 100notin (notin) 101notin (notin) 59notin (6isin) 101notin (notin) 100notin (notin) 62notni (=) 100notowner (S) 100notowns see notowner and

notni

notperp (M) 54

notslash (minus) 133notsmallin () 101notsmallowns () 101nottop (L) 100nottop (Uuml) 125NoTumbler () 182novelty (N) 186noway (A) 182nowns (∌) 59 101nowns (ni) 101nowns (∌) 100nparallel (∦) 53nparallel (not) 60nparallel (∦) 59nparallel (∦) 57nparallel (∦) 62nparallelslant (Ocirc) 64nperp (aacute) 59nperp (Ugrave) 57npitchfork (u) 95npitchfork () 93nplus (`) 32nplus (frac34) 35npolint (⨔) 49npolintsl (⨔) 51npolintup (⨔) 51nprec (ć) 54nprec (⊀) 53nprec () 60nprec (⊀) 59nprec (⊀) 56nprec (⊀) 62nprecapprox (Egrave) 54nprecapprox (7) 54nprecapprox (AElig) 59nprecapprox (egrave) 56npreccurlyeq (ę) 54npreccurlyeq ($) 54npreccurlyeq (⋠) 59npreccurlyeq (⋠) 56npreccurlyeq (⋠) 62npreceq (ł) 54

npreceq () 53

npreceq () 60npreceq (frac34) 59npreceq (acirc) 56npreceq () 62npreceqq (9) 54npreceqq (Acirc) 59nprecsim (Acirc) 54nprecsim () 54nprecsim (Auml) 59nprecsim (aelig) 57NR () 134nrcirclearrowdown (ucirc) 79nrcirclearrowleft (uacute) 79nrcirclearrowright (oslash) 79nrcirclearrowup (ugrave) 79nrcurvearrowdown (Atilde) 79

303

nrcurvearrowleft (Acirc) 79nrcurvearrowne (Auml) 79nrcurvearrownw (Aring) 79nrcurvearrowright (Agrave) 79nrcurvearrowse (Ccedil) 79nrcurvearrowsw (AElig) 79nrcurvearrowup (Aacute) 79nRelbar (Ocirc) 57nrelbar (ETH) 57nrestriction (I) 85nrestriction (I) 81nrhookdownarrow () 79nrhookleftarrow () 79nrhooknearrow (lt) 79nrhooknwarrow (=) 79nrhookrightarrow (8) 79nrhooksearrow () 79nrhookswarrow (gt) 79nrhookuparrow (9) 79nRightarrow (œ) 76nRightarrow () 75nRightarrow (not) 87nRightarrow (⇏) 84nRightarrow (⇏) 80nRightarrow (⇏) 90nrightarrow (Ucirc) 76nrightarrow (9) 75nrightarrow (copy) 87nrightarrow (↛) 84nrightarrow (↛) 79nrightarrow (↛) 90nrightarrowtail ( ) 84nrightarrowtail ( ) 80nrightAssert (⊮) 59nrightassert (auml) 59nrightbkarrow (`) 84nrightblackspoon (l) 94nrightcurvedarrow () 84nrightdowncurvedarrow (pound)

84nrightfilledspoon (p) 93nrightfootline (shy) 59nrightfootline (x) 57nrightfree () 57nrightharpoonccw () 81nrightharpooncw (H) 81nrightharpoondown (H) 85nrightharpoonup () 85nrightlcurvearrow () 84nrightleftarrows () 84nrightleftarrows () 79nrightleftcurvearrow (brvbar) 84nrightleftharpoons (X) 85nrightleftharpoons (X) 81nrightleftsquigarrow () 84nrightlsquigarrow () 84nrightlsquigarrow ( ) 79nRightmapsto () 84nrightmapsto (() 84

nrightmapsto (() 79nrightModels (⊯) 57nrightmodels (igrave) 59nrightmodels (⊭) 57nrightpitchfork (t) 95nrightpitchfork () 93nrightrcurvearrow () 84nrightrightarrows (x) 84nrightrightarrows () 79nrightrsquigarrow () 84nrightrsquigarrow (uml) 79nrightspoon (h) 94nrightspoon (h) 93nrightsquigarrow () 84nrightsquigarrow ( ) 80nrightupcurvedarrow () 84nrightVDash (⊯) 59nrightVdash (⊮) 59nrightVdash (⊮) 57nrightvDash (⊭) 59nrightvdash (⊬) 59nrightvdash (⊬) 57nrightwavearrow () 84nrisingdotseq () 59nrisingdotseq () 56nRrightarrow (para) 83nRrightarrow (ocirc) 79

nsdtstile ( ) 63nSearrow () 83nSearrow () 79nsearrow () 83nsearrow () 79nsearrowtail () 83nsearrowtail () 79nsebkarrow (g) 83nsefilledspoon (w) 93nsefootline () 56nsefree () 56nseharpoonccw (G) 81nseharpooncw (O) 81nseharpoonne (G) 85nseharpoonsw (O) 85nselcurvearrow () 84nselsquigarrow (sect) 79nsemapsto () 79nseModels (divide) 56nsemodels (ccedil) 56nsenwarrows () 83nsenwarrows () 79nsenwcurvearrow (laquo) 84nsenwharpoons ([) 85nsenwharpoons ([) 81nsepitchfork () 93nsercurvearrow (pound) 84nsersquigarrow (macr) 79nsesearrows () 83nsesearrows () 79nsespoon (o) 93

nseVdash (iuml) 56nsevdash (szlig) 56nshortdowntack (ccedil) 59nshortlefttack (aelig) 59nshortmid () 53nshortmid (reg) 60nshortmid (∤) 59nshortmid (∤) 56nshortmid (∤) 62nshortparallel () 53nshortparallel (macr) 60nshortparallel (∦) 59nshortparallel (∦) 56nshortparallel (∦) 62nshortrighttack (auml) 59nshortuptack (aring) 59nsim () 54nsim () 53nsim () 60nsim (≁) 59nsim (≁) 56nsim (≁) 62nsime (≄) 59nsime (≄) 62nsimeq (fi) 54nsimeq () 54nsimeq (≄) 59nsimeq (≄) 56nsimeq (≄) 62nsmile (~) 59 95nsmile () 94nsmileeq () 59 95nsmileeq () 94nsmileeqfrown () 94nsmilefrown (≭) 59 95nsmilefrown (≭) 94nsmilefrowneq ( ) 94nsqdoublefrown (yen) 94nsqdoublefrowneq (macr) 94nsqdoublesmile (curren) 94nsqdoublesmileeq (reg) 94nsqeqfrown (shy) 94nsqeqsmile (not) 94nsqfrown (pound) 94nsqfrowneq (laquo) 94nsqfrowneqsmile (plusmn) 94nsqfrownsmile (copy) 94nsqsmile (cent) 94nsqsmileeq (ordf) 94nsqsmileeqfrown (deg) 94nsqsmilefrown (uml) 94nSqsubset (sup2) 66nSqsubset (Ouml) 66nsqSubset (Ű) 65nsqsubset (Ć) 65nsqsubset (a) 65nsqsubset (not) 66nsqsubset (ETH) 66nsqsubset () 67

304

nsqsubseteq (Ę) 65nsqsubseteq () 65nsqsubseteq (⋢) 66nsqsubseteq (⋢) 66nsqsubseteq (⋢) 67nsqsubseteqq (Ő) 65nsqsubseteqq (deg) 66nsqsubseteqq (Ocirc) 66nSqsupset (sup3) 66nSqsupset (times) 66nsqSupset (Ů) 65nsqsupset (Č) 65nsqsupset (b) 65nsqsupset (shy) 66nsqsupset (Ntilde) 66nsqsupset () 67nsqsupseteq (Ğ) 65nsqsupseteq (A) 65nsqsupseteq (⋣) 66nsqsupseteq (⋣) 66nsqsupseteq (⋣) 67nsqsupseteqq (Ŕ) 65nsqsupseteqq (plusmn) 66nsqsupseteqq (Otilde) 66nsqtriplefrown (sect) 94nsqtriplesmile (brvbar) 94nsquigarrowdownup (sup3) 79nsquigarrowleftright (deg) 79nsquigarrownesw (acute) 79nsquigarrownwse (micro) 79nsquigarrowrightleft (sup2) 79nsquigarrowsenw (middot) 79nsquigarrowswne (para) 79nsquigarrowupdown (plusmn) 79

nsststile ( ) 63nstareq () 59

nststile ( ) 63

nsttstile ( ) 63nSubset (Ű) 65nSubset (gt) 65nSubset (ordm) 66nSubset (THORN) 66nsubset (Ć) 65nsubset () 66nsubset (nsub) 66nsubset (nsub) 66nsubset (nsub) 67nsubseteq (Ę) 65

nsubseteq () 65

nsubseteq (ordf) 66nsubseteq (⊈) 66nsubseteq (⊈) 66nsubseteq (⊈) 67nsubseteqq (Ő) 65nsubseteqq () 65nsubseteqq (cent) 66nsubseteqq (cedil) 66nsubseteqq (Uuml) 66

nsubseteqq () 67nsucc (č) 54nsucc () 53nsucc () 60nsucc (⊁) 59nsucc (⊁) 56nsucc (⊁) 62nsuccapprox (Eacute) 54nsuccapprox (8) 54nsuccapprox (Ccedil) 59nsuccapprox (eacute) 56nsucccurlyeq (ğ) 54nsucccurlyeq () 54nsucccurlyeq (⋡) 59nsucccurlyeq (⋡) 56nsucccurlyeq (⋡) 62nsucceq (ń) 54

nsucceq () 53

nsucceq () 60nsucceq (iquest) 59nsucceq (atilde) 56nsucceq () 62nsucceqq () 54nsucceqq (Atilde) 59nsuccsim (Atilde) 54nsuccsim () 54nsuccsim (Aring) 59nsuccsim (ccedil) 56nSupset (Ů) 65nSupset () 65nSupset (raquo) 66nSupset (szlig) 66nsupset (Č) 65nsupset () 66nsupset (⊅) 66nsupset (⊅) 66nsupset (⊅) 67nsupseteq (Ğ) 65

nsupseteq (+) 65

nsupseteq (laquo) 66nsupseteq (⊉) 66nsupseteq (⊉) 66nsupseteq (⊉) 67nsupseteqq (Ŕ) 65nsupseteqq () 65nsupseteqq (pound) 66nsupseteqq (sup1) 66nsupseteqq (Yacute) 66nsupseteqq () 67nSwarrow () 83nSwarrow () 79nswarrow () 83nswarrow () 79nswarrowtail (amp) 83nswarrowtail (amp) 79nswbkarrow (f) 83nswfilledspoon (v) 93nswfootline (~) 56

nswfree () 56nswharpoonccw (F) 81nswharpooncw (N) 81nswharpoonnw (N) 85nswharpoonse (F) 85nswlcurvearrow () 84nswlsquigarrow (brvbar) 79nswmapsto () 79nswModels (ouml) 56nswmodels (aelig) 56nswnearrows () 83nswnearrows () 79nswnecurvearrow (ordf) 84nswneharpoons (^) 85nswneharpoons (^) 81nswpitchfork () 93nswrcurvearrow (cent) 84nswrsquigarrow (reg) 79nswspoon (n) 93nswswarrows (~) 83nswswarrows () 79nswVdash (icirc) 56nswvdash (THORN) 56NT () 134

ntdtstile ( ) 63

ntheorem (package) 124nthickapprox (5) 54nto (↛) 84nto (↛) 80ntriangleeq () 74ntriangleeq (acute) 73ntriangleleft (Ž) 73ntriangleleft (6) 72ntriangleleft (para) 74ntriangleleft (⋪) 74ntriangleleft (⋪) 69 73ntrianglelefteq (đ) 73

ntrianglelefteq (5) 72

ntrianglelefteq (micro) 74ntrianglelefteq (⋬) 74ntrianglelefteq (⋬) 69 73ntrianglelefteq (⋬) 74ntrianglelefteqslant (R) 72ntriangleright (Ż) 73ntriangleright (7) 72ntriangleright (middot) 74ntriangleright (⋫) 74ntriangleright (⋫) 69 73ntrianglerighteq (sect) 73

ntrianglerighteq (4) 72

ntrianglerighteq (acute) 74ntrianglerighteq (⋭) 74ntrianglerighteq (⋭) 69 73ntrianglerighteq (⋭) 74ntrianglerighteqslant (S) 72ntriplefrown () 94ntriplesim (o) 59ntriplesim (~) 56

305

ntriplesmile () 94

ntststile ( ) 63

nttstile ( ) 63

ntttstile ( ) 63

ntwoheaddownarrow () 83ntwoheaddownarrow () 79ntwoheadleftarrow (h) 54ntwoheadleftarrow () 83ntwoheadleftarrow () 79ntwoheadnearrow () 83ntwoheadnearrow () 79ntwoheadnwarrow () 83ntwoheadnwarrow () 79ntwoheadrightarrow (g) 54ntwoheadrightarrow () 83ntwoheadrightarrow () 79ntwoheadsearrow () 83ntwoheadsearrow () 79ntwoheadswarrow () 83ntwoheadswarrow () 79ntwoheaduparrow () 83ntwoheaduparrow () 79Nu (N) 97nu (120584) 97nuclear power plant see SNPP

nucleus (119890) 138Nudelholz ( ) 196NUL () 135NUL () 135null infinity see alphabets mathnull set 123ndash125number sets see alphabets mathnumber sign see textnumero

numbers see numeralsnumerals 28 122 130 144 179

187 188 204ndash206 224circled 144 187 188 224Epi-Olmec 161Isthmian 161LCD 130Linear B 157Mayan 122old-style 28segmented 130

NumLock ( Num ) 134

nUparrow () 83nUparrow () 79nuparrow () 83nuparrow () 79nuparrowtail () 83nuparrowtail () 79nupAssert (otilde) 59nupassert (aring) 59nupbkarrow (a) 83nupblackspoon (m) 94nUpdownarrow () 83nUpdownarrow () 79

nupdownarrow () 83nupdownarrow () 79nupdownarrows () 83nupdownarrows () 79nupdowncurvearrow (yen) 84nupdownharpoonleftright (Q)

85nupdownharpoonleftright (Q)

81nupdownharpoonrightleft (U)


81nupdownharpoons (Y) 85nupdownharpoons (Y) 81nupdownharpoonsleftright

(Y) 85nUpdownline (∦) 56nupdownline (∤) 56nupdownsquigarrow () 84nupdownwavearrow () 84nupfilledspoon (q) 93nupfootline (y) 56nupfree () 56nupharpoonccw (A) 81nupharpooncw (I) 81nupharpoonleft (A) 85nupharpoonright (I) 85nuplcurvearrow () 84nupleftcurvedarrow () 84nuplsquigarrow () 84nuplsquigarrow (iexcl) 79nUpmapsto (-) 84nupmapsto ()) 84nupmapsto ()) 79nupModels (ntilde) 56nupmodels (iacute) 59nupmodels (aacute) 57nuppitchfork (u) 95nuppitchfork () 93nuprcurvearrow () 84nuprightcurvearrow ( ) 84nuprsquigarrow () 85nuprsquigarrow (copy) 79nupspoon (i) 94nupspoon (i) 93nupuparrows (y) 84nupuparrows () 80nupVDash (ugrave) 59nupVdash (ntilde) 59nupVdash (eacute) 57nupvDash (eacute) 59nupvdash (aacute) 59nupvdash (Ugrave) 57nupwavearrow () 84

Nursey ( ) 196nuup (ν) 98nUuparrow (middot) 84nvardownwavearrow () 84

nvargeq (ń) 68nvarhookdownarrow (3) 84nvarhookleftarrow (2) 84nvarhooknearrow (4) 84nvarhooknwarrow (=) 84nvarhookrightarrow (8) 84nvarhooksearrow () 84nvarhookswarrow (6) 84nvarhookuparrow (9) 84nvarisinobar () 62nvarleftrightwavearrow ()

84nvarleftwavearrow () 84nvarleq (ł) 68nvarniobar () 62nvarparallel () 54nvarparallelinv () 54nvarrightwavearrow () 84nvartriangleleft (⋪) 74nvartriangleright (⋫) 74nvarupdownwavearrow () 84nvarupwavearrow () 84nVbar (eacute) 59nvBar (otilde) 59nVDash () 54nVDash (3) 53nVDash (sup3) 60nVDash (⊯) 59nVDash (⊯) 57nVDash (⊯) 62nVdash () 54nVdash (1) 54nVdash (plusmn) 60nVdash (⊮) 59nVdash (⊮) 57nVdash (⊮) 62nvDash () 54nvDash (2) 53nvDash (sup2) 60nvDash (⊭) 59nvDash (⊭) 57nvDash (⊭) 62nvdash (amp) 54nvdash (0) 53nvdash (deg) 60nvdash (⊬) 59nvdash (⊬) 57nvdash (⊬) 62nvDdash (thorn) 59nveeeq () 59nvinfty (⧞) 122nVleftarrow () 87nVleftarrow (⇺) 90nvLeftarrow (⤂) 90nvleftarrow (⇷) 90nVleftarrowtail (⬺) 90nvleftarrowtail (⬹) 90nVleftrightarrow (⇼) 90nvLeftrightarrow (⤄) 90

306

nvleftrightarrow (⇹) 90nvlongdash (AElig) 59nVrightarrow () 87nVrightarrow (⇻) 90nvRightarrow (⤃) 90nvrightarrow (⇸) 90nVrightarrowtail (⤕) 90nvrightarrowtail (⤔) 90nVtwoheadleftarrow (⬵) 90nvtwoheadleftarrow (⬴) 90nVtwoheadleftarrowtail (⬽)

90nvtwoheadleftarrowtail (⬼)

90nVtwoheadrightarrow (⤁) 90nvtwoheadrightarrow (⤀) 90nVtwoheadrightarrowtail (⤘)

90nvtwoheadrightarrowtail (⤗)

90nVvash () 54nVvdash (uuml) 59Nwarrow (v) 76Nwarrow () 86Nwarrow () 82Nwarrow () 77Nwarrow () 88nwarrow (Ocirc) 76nwarrow () 75 233nwarrow () 82nwarrow () 77nwarrow () 92nwarrow () 88nwarrowcorner () 86nwarrowtail () 82nwarrowtail () 77nwbkarrow (e) 82nwedgeq () 59nwfilledspoon (u) 93nwfootline () 55nwfree () 55nwharpoonccw (E) 80nwharpooncw (M) 80nwharpoonne (M) 85nwharpoonsw (E) 85nwhiteblackspoon (s) 94nwlcurvearrow () 83nwlsquigarrow (yen) 77nwmapsto (-) 77nwModels (otilde) 55nwmodels (aring) 55nwnwarrows () 82nwnwarrows () 77nwovnearrow (⤲) 88nwpitchfork () 93nwrcurvearrow (iexcl) 83nwrsquigarrow (shy) 77Nwsearrow () 82Nwsearrow () 77

nwsearrow () 233nwsearrow (⤢) 82nwsearrow (⤢) 77nwsearrow (⤡) 88nwsearrows () 82nwsearrows () 77nwsebipropto () 34nwsecrossing () 55nwsecurvearrow (copy) 83nwseharpoonnesw (S) 85nwseharpoonnesw (S) 80nwseharpoons (_) 85nwseharpoons (_) 80nwseharpoonswne (W) 85nwseharpoonswne (W) 80Nwseline (times) 55nwseline (Oacute) 55nwspoon (m) 93nwVdash (iacute) 55nwvdash (Yacute) 55

OO (Oslash) 15o (oslash) 15o (119900) 97o (o) 162oast (⊛) 38oast (⊛) 38oasterisk (f) 37obackslash (n) 37obackslash (⦸) 38obackslash (⦸) 38obar () 32obar () 39obar () 40Obelus ( ) 188obelus ( ) 188Obelus ( middotmiddot ) 188obelus ( middotmiddot ) 188oblong () 32oblong () 39obot (k) 37obot () 39obot (⦺) 40obrbrak (⏠) 126obslash () 32obslash () 39obslash (⦸) 39obslash (⦸) 40oc () 30ocirc (e) 37ocirc (⊚) 38ocirc (⊚) 38ocircle () 32ocoasterisk (g) 37ocommatopright ( ) 111octagon (8) 146octonions (O) see alphabets

math

Octosteel () 136od (a

˚) 23

odash (⊝) 39odiv (c) 37odiv (⨸) 40odot (d) 37odot (⊙) 31odot (⊙) 39odot (⊙) 38odot (⊙) 40odotslashdot (⦼) 40odplus () 37OE (Œ) 15 244oe (œ) 15 244oequal (⊜) 39Ofen ( ) 196officialeuro (e) 27offinterlineskip 231ogonek (package) 24 247 248ogonek ( ˛) see accentsogreaterthan (=) 32ogreaterthan () 39ogreaterthan (⧁) 40ohill ( a) 23ohm see textohm

ohm (Ω) 130

Ohne (a ) 165

OHORN (Ơ) 16ohorn (ơ) 16

oiiint ()

) 44

oiiint (∰) 47

oiiint (

) 51

oiiint (∰) 48

oiiintclockwise (L

) 44

oiiintctrclockwise (D

) 44

oiiintsl (∰) 50oiiintup (∰) 50oiint (

ů

) 44oiint (

v) 43

oiint (

) 45

oiint (sbquo

) 45

oiint (∯) 47

oiint (

) 51

oiint (∯) 46oiint (∯) 48

oiintclockwise (H

) 45

oiintctrclockwise (

) 45

oiintsl (∯) 50oiintup (∯) 50oint (

ű

) 44oint (

u) 43

oint (u

) 43oint (

∮) 42

oint (∮) 47

oint (∮) 46oint (∮) 48

307

ointclockwise (

) 44

ointclockwise (ı) 45

ointclockwise (∲) 48

ointclockwise () 51

ointctrclockwise (

) 44

ointctrclockwise () 45

ointctrclockwise (∳) 48


ointctrclockwise (∳) 48ointctrclockwisesl (∳) 50ointctrclockwiseup (∳) 50ointsl (∮) 50ointup (∮) 50olcross (⦻) 40old-arrows (package) 92 247old-style numerals 28olddWinkey ( ) 197

oldGclef (g) 165

oldstylenums 28oldWinkey ( ) 196oleft (h) 37oleft () 39olessthan (lt) 32olessthan () 39olessthan (⧀) 40Olschok Marc 229OM () 134Omega (Ω) 97omega (120596) 97omegaup (ω) 98Omicron (O) 97omicron (o) 97ominus (a) 37ominus (⊖) 31ominus () 39ominus (⊖) 39ominus (⊖) 38ominus (⊖) 40onlymove (F) 186oo (∘∘) 188oo () 19ooalign 231open (z) 25open unit disk (D) see

alphabets mathopenJoin ([) 53openo (c) 20openo (=) 19openo (l) 20opentimes (]) 53OpenType 163operators 30ndash33 37 38

binary 31ndash40logical see logical operatorsset see set operatorsunary 30

operp (⦹) 40oplus (lsquo) 37oplus (oplus) 30 31 229oplus () 39oplus (oplus) 38oplus (oplus) 38oplus (oplus) 40opluslhrim (⨭) 36oplusrhrim (⨮) 36opposbishops (o) 186Opposition (p) 133opposition (W) 131optical scaling 236options see package optionsOR () 134or see vee

OR gates 135orbit (119861) 138

ORd () 135oright (i) 37oright () 39origof (⊶) 94origof (⊶) 61oriscus see musixgre

ORl () 135

OrnamentDiamondSolid (q) 152

ornaments 145 146 152209ndash211 213ndash217

ORr () 135orthogonal to see bot

ORu () 135oslash (m) 37oslash (⊘) 31oslash () 39oslash (⊘) 38oslash (⊘) 38oslash (⊘) 40ostar () 38osum (⨊) 47 48otf files 163Otimes (⨷) 40otimes (b) 37otimes (otimes) 31otimes () 39otimes (otimes) 38otimes (otimes) 38otimes (otimes) 40otimeshat (⨶) 40otimeslhrim (⨴) 36otimesrhrim (⨵) 36otop (j) 37

otop () 39otriangle () 39otriangle (d) 38 73otriangleup (o) 37oturnedcomma ( ) 111outer joins 126ovals 150 173ndash178 204ndash206

210ndash211 222ovee (gt) 32ovee () 39Oven () 196oven ( ) 196overarc (a) 24

overbrace (hkkikkj

) 114

overbrace (IgraveETHIcirc) 113

overbrace (copy

) 113

overbrace (⏞ ⏟

) 114

overbrace (⏞⏞⏞

) 114

overbrace (⏞ ⏟

) 112

overbracket ( ) 114

overbracket (

) 114

overbracket ( ) 235 236overbridge (

rdquoa) 23

overgroup (hkkkkj

) 114

overgroup (IgraveIcirc) 113

overgroup (sup3micro

) 113overleftarrow () 114overleftarrow (larrminus) 92 112overleftharp () 91overleftharpdown () 91

overleftharpoon (minus) 113

overleftharpoon (ETH) 113overleftharpoon () 114overleftrightarrow () 114overleftrightarrow (larrrarr) 92

113overleftswishingghost ( )

118

overleftwitchonbroom (minusminusisin

) 118


) 118

overline ( ) 30 110 112

overlinesegment (notshy) 113

overlinesegment (zx) 113

overparen (⏜⏜

) 114

overparenthesis (⏞

) 235 236Overrightarrow (=rArr) 112overrightarrow (package) 112 247overrightarrow ( ) 114overrightarrow (minusrarr) 92 112overrightharp () 91

308

overrightharpdown () 91

overrightharpoon (minus) 113

overrightharpoon (ETH) 113overrightharpoon ( ) 114

overrightswishingghost ( ) 118

overrightwitchonbroom (niminusminus

) 118


) 118

overring (x) 25overscriptleftarrow (larrminus) 118overscriptleftrightarrow

(larrrarr) 118overscriptrightarrow (minusrarr) 118overset 230overt (⦶) 38overt (⦶) 38ovhook ( ) 111ovoid (l) 37owedge () 32owedge () 39owns see ni

owns (Q) 100owns (ni) 58 101owns (3) 101owns (ni) 100owns (ni) 62ownsbar (W) 100

PP (P) 162P (para) 15 243P (para) 15p (ă) 162p (

˙) 188

p (p) 162p 234package options

a (esvect) 115arrows (boisik) 87b (esvect) 115bbgreekl (mathbbol) 129boondox (emf) 131c (esvect) 115cal (emf) 131calligra (emf) 131chorus (emf) 131cmr (emf) 131crescent (fge) 111d (esvect) 115e (esvect) 115f (esvect) 115fourier (emf) 131frcursive (emf) 131g (esvect) 115german (keystroke) 134greek (babel) 16 97 98 159

h (esvect) 115heartctrbull (bullcntr) 185integrals (wasysym) 43largectrbull (bullcntr) 185mathcal (euscript) 128mathscr (euscript) 128mathscr (urwchancal) 128miama (emf) 131new (old-arrows) 92nointegrals (wasysym) 43polutonikogreek (babel) 1697 98

rsfs (emf) 131sans (dsfont) 128scaled (CountriesOfEurope)

195scr (rsfso) 128smallctrbull (bullcntr) 185smartctrbull (bullcntr) 185upint (stix) 41 42 49 51utf8x (inputenc) 245varg (txfontspxfonts) 99

packagesabraces 115 247 248accents 110 234 247 248actuarialangle 116 235 247adforn 140 145 146 152247 248

adfsymbols 140 143 145150 247

allrunes 162 247119964ℳ119982 12 15 3142 52 53 65 67 72 7576 92 96 97 99 100 102104 110 113 116 119 123124 129 226 227 246

amsbsy 241amsfonts 124 128amsmath 12 96 110 230240

amssymb 12 110 124 128159 247

amstext 232 233apl 134 247ar 130 247arcs 24 247arev 140ndash144 151 163 196247

ascii 135 242 247astrosym 206 247babel 16 97 98 159bartel-chess-fonts 224 225247

bbding 139 141ndash143 145150 152 227 247

bbm 128 247bbold 128 247bclogo 197 198 247 248begriff 121 247

bigints 46 247 248bm 241 247 248boisik 35 3948 60 66 71 74 86 8799ndash102 111 123 125 147151 159 163 247

braket 103bullcntr 185 247 248bullenum 185calligra 128 247 248calrsfs 128cancel 112ccicons 28 247 248cclicenses 28 247centernot 232chancery 247chemarr 116 247chemarrow 91 117 247ChinA2e 26 96 129 191 192china2e 128 247 248clock 184 247 248cmll 30 37 52 64 102 247colonequals 30 64 247 248combelow 25 247 248cookingsymbols 196 247248

CountriesOfEurope 194 247248

cryst 222 247cypriot 158 247 248dancers 217 247dblaccnt 234dice 223 247dictsym 189 247dingbat 141 142 152 213227 247

DotArrow 117 247 248dozenal 122 185 247 248dsfont 128 247emf 131 247 248epiolmec 160 161 247 248epsdice 184 247 248esint 45 247esrelation 92 118 247esvect 115 247eufrak 128eurosym 27 247euscript 128 247extarrows 117 247extpfeil 117 247extraipa 23 247fc 16 21fclfont 247fdsymbol 34 35 3839 47 48 57ndash59 66 70 7481ndash85 94 95 99 101 106107 111 113 120 123 125147 151 163 247

feyn 137 247 248

309

fge 91 102 111 122 126247 248

fixmath 241fontawesome 2627 132 136 140ndash142 144146 151 199 202 247 248

fontenc 12 15 17 21 242244

fontspec 163 245 246fourier 27 64 98 102 109115 142 146 182 247

frege 121 247 248gensymb 130go 188 247graphics 91 229graphicx 24 226 229greenpoint 204 247halloweenmath 40 118 247248

hands 204 247harmony 165 247harpoon 91 247 248hhcount 184 185 247 248hieroglf 154 247holtpolt 119 247ifsym 130 149 150 183227 229 247

igo 187 247inputenc 245isoent 244junicode 245 247keystroke 134 247knitting 193 247 248knot 213 217 247latexsym 31 52 64 75 124226 247

lilylyp s 163 166ndash173178ndash180

lilyglyphs 247linearA 154 247 248linearb 157 158 247 248logic 135longdiv 112magic 224 247manfnt 181 247marvosym 2526 122 132 134 136 141143 182 192 227

mathabx 30 33 37 43 5465 68 73 76 77 95 100102 104 110 114 122 124132 186 226 227 247

mathbbol 128 129mathcomp 121mathdesign 26 37 51 101108 127 247

mathdots 110 119 120234 247

mathrsfs 128 247mathspec 97mathtools 30 62 92 114116 247

mbboard 128 129 247mdwmath 116 247 248metre 24 110 188 247milstd 135 247 248MnSymbol 30 33 3438 46 47 55ndash57 66 69 7377ndash81 93 94 99 100 105111ndash113 120 123 125 147151 163 247

moonphase 206 247musixgre 165musixlit 165musixper 165musixtex 247 248nath 103 109 247nicefrac 126 247 248niceframe 210ndash213 217nkarta 204 247ntheorem 124ogonek 24 247 248old-arrows 92 247overrightarrow 112 247phaistos 153 247phonetic 20 23 229 247pict2e 131pifont 17 139 141ndash145 150152 204 210 221 229 247

pigpen 191 247 248pmboxdraw 190 247 248polynom 112prodint 52 247protosem 153 247psnfss 144PSTricks 198pxfonts 30 32 44 53 5465 68 76 95 98ndash100 124128 151 226 242

recycle 192 247relsize 24rotating 28 134rsfso 128 247rubikcube 203 247 248sarabian 159 247 248savesym 226semaphor 220 221 247semtrans 20 24 247shuffle 37 247 248simplewick 236simpsons 189 247skak 186 187 247skull 186 247slashed 231 232soyombo 193 247 248starfont 133 247 248staves 190 247

steinmetz 131 247 248stix 36 40 41 4850 61 62 67 71 72 7487 89ndash91 96 99ndash101 103107 111 114 120 122 123126 132 134 136 148 149151 163 184 247 248

stmaryrd 32 42 5365 72 76 92 95 102 104227 231 246 247

svrsymbols 137 247 248t4phonet 20 24 247teubner 27 121 159 189247 248

textcomp 12 14 15 21 25ndash28 75 110 126 130 163181 226 242 244 247

textgreek 16 98 247 248tfrupee 27 247 248TikZ 196ndash198 203tikzsymbols 196 197 247248

timing 130tipa 17 18 20 21 23 24229 247

tipx 18 247trfsigns 64 101 118 247trsym 64 247turnstile 63 247 248txfonts 30 32 44 53 5465 68 76 95 98ndash100 124128 151 226 228 242 247

type1cm 226ucs 245ulsy 37 95 229 247umranda 210 211 247umrandb 211 212 247underscore 14undertilde 115 247units 126universa 150 182 247upgreek 16 98 247upquote 242url 242urwchancal 128 247ushort 116 247 248vietnam 247vntex 16 21wasysym 20 26 2832 43 53 65 68 119 124130 131 133 136 143 144146 163 181 227 247

webomints 209 210 247wsuipa 19 23 25 227 229234 247

xfrac 126yfonts 128 129 247yhmath 112 113 115 121234 247

310

PackingWaste (szlig) 192

Pakin Scott 1 233 235 246

Pallas () 133

pan ( ) 196

paperclip 197ndash198

PaperLandscape () 183

PaperPortrait () 183

par see bindnasrepmainvamp and parr

paragraph mark see P

parallel () 52 105

parallel (∥) 58

parallel (∥) 56

parallel (∥) 61

parallelogram () 149

parallelogramblack () 149

parallelograms 148ndash149 222

ParallelPort (Ntilde) 134

parallelslant (Euml) 64

parr (`) 37

parsim (⫳) 61

partial (B) 100

partial (120597) 100

partial (part) 102

partialmeetcontraction (⪣) 72

partialslash (C) 100

partialvardint (q) 125

partialvardlanddownint (⨚) 125

partialvardlandupint (⨙) 125

partialvardlcircleleftint

(∲) 125


(∲) 77

partialvardlcirclerightint

(∲) 125


(∲) 77

partialvardoiint (∯) 125

partialvardoint (∮) 125

partialvardrcircleleftint

(∳) 125


(∳) 77

partialvardrcirclerightint

(∳) 125


(∳) 78

partialvardstrokedint (⨏) 125

partialvardsumint (⨋) 125

partialvartint (p) 125

partialvartlanddownint (⨚) 125

partialvartlandupint (⨙) 125

partialvartlcircleleftint

(∲) 125


(∲) 78partialvartlcirclerightint


(∲) 78partialvartoiint (∯) 125partialvartoint (∮) 125partialvartrcircleleftint

(∳) 125partialvartrcircleleftint

(∳) 78partialvartrcirclerightint


(∳) 78partialvartstrokedint (⨏)

125partialvartsumint (⨋) 125particle-physics symbols 137ndash138partof (3) 229parts per thousand see

textperthousand

partvoice (andash raquo) 23partvoiceless (andash raquo) 23

passedpawn (r) 186PAUSe () 164PAuse () 164pause (=) 164pawn 187 224ndash226PD () 134PDF 163pdf files 244pdfLATEX 245Peace () 152PeaceDove (f) 182Ped () 164peeler ( ) 196pencil () 141

PencilLeft () 141

PencilLeftDown () 141

PencilLeftUp () 141

PencilRight () 141

PencilRightDown () 141

PencilRightUp () 141pencils 141 142pentagon () 149pentagon (D) 146pentagonblack () 149Pentagram (aring) 133pentagram () 38pentam (λθλθλ||λββλββλ)

189pentdot (=) 162penteye () 162people see facespercent sign see

percussion 165permil (h) 28Perp (y) 53Perp (aring) 60Perp (sbquo) 64perp (perp) 52 233perp (perp) 58perp (perp) 56perp (⟂) 61perps (⫡) 126perthousand (permil) 130Pfanne ( ) 196Pfund (pound) 26PgDown ( Page darr ) 134

PgUp ( Page uarr ) 134

phaistos (package) 153 247Phaistos disk 153pharmaceutical prescription see

textrecipe

PHarrow (J) 153phase ( ) 131phasor 131

PHbee (h) 153

PHbeehive (X) 153

PHboomerang (R) 153

PHbow (K) 153

PHbullLeg (b) 153

PHcaptive (D) 153

PHcarpentryPlane (S) 153

PHcat (c) 153

PHchild (E) 153

PHclub (M) 153

PHcolumn (W) 153

PHcomb (U) 153

PHdolium (T) 153

PHdove (f) 153

PHeagle (e) 153

PHflute (o) 153

PHgaunlet (H) 153

PHgrater (p) 153

PHhelmet (G) 153

PHhide (a) 153

PHhorn (Z) 153

311

Phi (Φ) 97phi (120593) 97phimeson (atilde) 138phimesonnull (auml) 138phiup (φ) 98

PHlid (Q) 153

PHlily (m) 153

PHmanacles (N) 153

PHmattock (O) 153

Phone () 152phone () 181

PhoneHandset () 152phonetic (package) 20 23 229

247phonetic symbols 17ndash20phonon (119895) 138photon () 130photons 130 137ndash138

PHoxBack (n) 153

PHpapyrus (k) 153

PHpedestrian (A) 153

PHplaneTree (i) 153

PHplumedHead (B) 153

PHram (d) 153

PHrosette (l) 153

PHsaw (P) 153

PHshield (L) 153

PHship (Y) 153

PHsling (V) 153

PHsmallAxe (r) 153

PHstrainer (q) 153

PHtattooedHead (C) 153

PHtiara (I) 153PHtunny (g) 153

PHvine (j) 153

PHwavyBand (s) 153

PHwoman (F) 153physical symbols 130Pi (Π) 97pi (120587) 97pi (π) 98ldquopirdquo fonts 229piano ( ) 168 179Pickup (A) 136

pict2e (package) 131

pifont (package) 17 139141ndash145 150 152 204 210221 229 247

pigpen (package) 191 247 248

pigpen cipher 191

pigpenfont A (A) 191

pigpenfont B (B) 191

pigpenfont C (C) 191

pigpenfont D (D) 191

pigpenfont E (E) 191

pigpenfont F (F) 191

pigpenfont G (G) 191

pigpenfont H (H) 191

pigpenfont I (I) 191

pigpenfont J (J) 191

pigpenfont K (K) 191

pigpenfont L (L) 191

pigpenfont M (M) 191

pigpenfont N (N) 191

pigpenfont O (O) 191

pigpenfont P (P) 191

pigpenfont Q (Q) 191

pigpenfont R (R) 191

pigpenfont S (S) 191

pigpenfont T (T) 191

pigpenfont U (U) 191

pigpenfont V (V) 191

pigpenfont W (W) 191

pigpenfont X (X) 191

pigpenfont Y (Y) 191

pigpenfont Z (Z) 191

pilcrow see P

pionminus (euml) 138

pionnull (igrave) 138

pionplus (ecirc) 138

pipe see textpipe

Pisces (euml) 132

Pisces (M) 133

Pisces (euml) 132

pisces (f) 131

Pisymbol 204ndash225 229

Pisymbolastrosym0 () 206













Pisymbolastrosym13 (13) 206

















312



Pisymbolastrosym32 ( ) 207




Pisymbolastrosym36 ($) 207


Pisymbolastrosym38 (amp) 207


Pisymbolastrosym40 (() 207

Pisymbolastrosym41 ()) 207


Pisymbolastrosym43 (+) 207


Pisymbolastrosym45 (-) 207






Pisymbolastrosym51 (3)

207






Pisymbolastrosym57

(9) 208



Pisymbolastrosym60 (lt) 208

Pisymbolastrosym61 (=) 208

Pisymbolastrosym62 (gt)

208



Pisymbolastrosym65 (A) 208

Pisymbolastrosym66 (B) 208

Pisymbolastrosym67 (C) 208

Pisymbolastrosym68 (D) 208

Pisymbolastrosym69 (E) 208

Pisymbolastrosym90 (Z) 208

Pisymbolastrosym91 ([) 208


Pisymbolastrosym93 (]) 208

Pisymbolastrosym94 (^) 208

Pisymbolastrosym95 (_) 208

Pisymbolastrosym100 (d) 208

Pisymbolastrosym101 (e) 208

Pisymbolastrosym102 (f) 208

Pisymbolastrosym103 (g) 208

Pisymbolastrosym104 (h) 208

Pisymbolastrosym105 (i) 208

Pisymbolastrosym106 (j) 208

Pisymbolastrosym107 (k) 208

Pisymbolastrosym108

(l) 208

Pisymbolastrosym109 (m) 208

Pisymbolastrosym110 (n) 208

Pisymbolastrosym111 (o) 208

Pisymbolastrosym112 (p) 208

Pisymbolastrosym113 (q) 208

Pisymbolastrosym114

(r) 208

Pisymbolastrosym115 (s) 208

Pisymbolastrosym116

(t) 208

Pisymbolastrosym117 (u) 208

Pisymbolastrosym118

(v) 208

Pisymbolastrosym119 (w) 209

Pisymbolastrosym120 (x) 209

Pisymbolastrosym121 (y) 209

Pisymbolastrosym122 (z) 209


Pisymbolastrosym124

(|) 209


Pisymbolastrosym126 (~) 209


Pisymbolastrosym128

() 209


313



Pisymbolastrosym132

() 206


Pisymbolastrosym134

() 206

















Pisymbolastrosym151 ()

206

Pisymbolastrosym152

() 207





Pisymbolastrosym157

() 207

Pisymbolastrosym158

() 207



Pisymbolastrosym161

(iexcl) 207

Pisymbolastrosym162 (cent)

207

Pisymbolastrosym163

(pound) 207

Pisymbolastrosym164 (curren) 207

Pisymbolastrosym165 (yen) 207

Pisymbolastrosym166 (brvbar) 207

Pisymbolastrosym167 (sect) 207

Pisymbolastrosym168 (uml) 207

Pisymbolastrosym169 (copy) 207

Pisymbolastrosym178 (sup2) 207

Pisymbolastrosym179

(sup3) 207

Pisymbolastrosym180

(acute) 207

Pisymbolastrosym181 (micro) 207

Pisymbolastrosym182 (para) 207

Pisymbolastrosym183

(middot) 207

Pisymbolastrosym184 (cedil)

207

Pisymbolastrosym185

(sup1) 207

Pisymbolastrosym186 (ordm) 207

Pisymbolastrosym187 (raquo) 207

Pisymbolastrosym188 (frac14) 207



Pisymbolastrosym191 (iquest) 207

Pisymbolastrosym200 (Egrave) 207

Pisymbolastrosym201 (Eacute) 207

Pisymbolastrosym202 (Ecirc) 207

Pisymbolastrosym203 (Euml) 207

Pisymbolastrosym204 (Igrave) 207

Pisymbolastrosym205 (Iacute) 208

Pisymbolastrosym206 (Icirc) 208

Pisymbolastrosym207 (Iuml) 208

Pisymbolastrosym208

(ETH) 208

Pisymbolastrosym209 (Ntilde) 208

Pisymbolastrosym210 (Ograve) 208

Pisymbolastrosym211 (Oacute) 208

Pisymbolastrosym212 (Ocirc) 208

Pisymbolastrosym213 (Otilde) 208

Pisymbolastrosym214

(Ouml) 208

Pisymbolastrosym215 (times) 208

Pisymbolastrosym216

(Oslash) 208

Pisymbolastrosym217 (Ugrave) 208

Pisymbolastrosym218

(Uacute) 208

Pisymbolastrosym219 (Ucirc) 208

Pisymbolastrosym220 (Uuml) 208

314

Pisymbolastrosym221 (Yacute) 208

Pisymbolastrosym222 (THORN) 208

Pisymbolastrosym223 (szlig) 208

Pisymbolastrosym224

(agrave) 208

Pisymbolastrosym225 (aacute) 208

Pisymbolastrosym226 (acirc) 208

Pisymbolastrosym227 (atilde) 208

Pisymbolastrosym228

(auml) 208

Pisymbolastrosym229 (aring) 208

Pisymbolastrosym230 (aelig) 208

Pisymbolastrosym231 (ccedil) 208

Pisymbolastrosym232

(egrave) 208

Pisymbolastrosym233 (eacute) 208

Pisymbolastrosym234

(ecirc) 208

Pisymbolastrosym235 (euml) 208

Pisymbolastrosym236 (igrave) 208

Pisymbolastrosym237 (iacute) 208

Pisymbolastrosym238 (icirc) 208

Pisymbolastrosym239 (iuml) 208

Pisymbolastrosym240 (eth) 208

Pisymbolastrosym241 (ntilde) 208

Pisymbolastrosym242 (ograve) 208

Pisymbolastrosym243 (oacute) 209

Pisymbolastrosym244 (ocirc) 209

Pisymbolastrosym245 (otilde) 209

Pisymbolastrosym246 (ouml) 209

Pisymbolastrosym247 (divide) 209

Pisymbolastrosym248 (oslash) 209

Pisymbolastrosym249 (ugrave) 209

Pisymbolastrosym250 (uacute) 209

Pisymbolastrosym251 (ucirc)

209Pisymbolastrosym252

(uuml) 209

Pisymbolastrosym253 (yacute) 209

Pisymbolastrosym254 (thorn) 209

Pisymbolastrosym255 (yuml) 209

Pisymbolcryst0 () 222Pisymbolcryst2 () 222Pisymbolcryst3 () 222Pisymbolcryst4 () 222Pisymbolcryst5 () 222Pisymbolcryst6 () 222Pisymbolcryst7 () 222Pisymbolcryst8 () 222Pisymbolcryst9 () 222Pisymbolcryst10 () 222Pisymbolcryst12 () 222Pisymbolcryst15 () 222Pisymbolcryst20 () 222Pisymbolcryst21 () 222Pisymbolcryst22 () 222Pisymbolcryst24 () 222Pisymbolcryst25 () 222Pisymbolcryst27 () 222Pisymbolcryst28 () 222Pisymbolcryst29 () 222Pisymbolcryst30 () 222Pisymbolcryst31 () 222Pisymbolcryst32 ( ) 222Pisymbolcryst35 () 222Pisymbolcryst36 ($) 222Pisymbolcryst37 () 222Pisymbolcryst38 (amp) 222Pisymbolcryst39 () 222Pisymbolcryst40 (() 222Pisymbolcryst41 ()) 222Pisymbolcryst42 () 222Pisymbolcryst43 (+) 222Pisymbolcryst44 () 222Pisymbolcryst45 (-) 222Pisymbolcryst47 () 222Pisymbolcryst48 (0) 222Pisymbolcryst49 (1) 222Pisymbolcryst50 (2) 222

Pisymbolcryst55 (7) 222Pisymbolcryst57 (9) 222Pisymbolcryst58 () 222Pisymbolcryst59 () 222Pisymbolcryst60 (lt) 222Pisymbolcryst61 (=) 222Pisymbolcryst62 (gt) 222Pisymbolcryst63 () 222Pisymbolcryst64 () 222Pisymbolcryst65 (A) 222Pisymbolcryst66 (B) 222Pisymbolcryst75 (K) 222Pisymbolcryst77 (M) 222Pisymbolcryst78 (N) 222Pisymbolcryst79 (O) 222Pisymbolcryst80 (P) 222Pisymbolcryst81 (Q) 222Pisymbolcryst82 (R) 222Pisymbolcryst83 (S) 222Pisymbolcryst84 (T) 222Pisymbolcryst85 (U) 222Pisymbolcryst87 (W) 222Pisymbolcryst88 (X) 222Pisymbolcryst89 (Y) 222Pisymbolcryst95 (_) 222Pisymbolcryst97 (a) 222Pisymbolcryst98 (b) 222Pisymbolcryst99 (c) 222Pisymbolcryst102 (f) 222Pisymbolcryst103 (g) 222Pisymbolcryst104 (h) 222Pisymbolcryst105 (i) 222Pisymbolcryst107 (k) 222Pisymbolcryst108 (l) 222Pisymbolcryst109 (m) 222Pisymbolcryst112 (p) 222Pisymbolcryst113 (q) 222Pisymbolcryst120 (x) 222Pisymbolcryst121 (y) 222Pisymbolcryst123 () 222Pisymbolcryst124 (|) 222Pisymbolcryst125 () 222Pisymbolcryst127 () 222Pisymbolcryst128 () 222Pisymbolcryst129 () 222Pisymbolcryst130 () 222Pisymbolcryst131 () 222Pisymbolcryst132 () 222Pisymbolcryst133 () 222Pisymbolcryst135 () 222Pisymbolcryst136 () 222Pisymbolcryst137 () 222Pisymbolcryst138 () 222Pisymbolcryst139 () 222Pisymbolcryst140 () 222Pisymbolcryst141 () 222Pisymbolcryst142 () 222Pisymbolcryst143 () 222Pisymbolcryst145 () 222

315

Pisymbolcryst147 () 222Pisymbolcryst148 () 222Pisymbolcryst149 () 222Pisymbolcryst155 () 222Pisymbolcryst157 () 222Pisymbolcryst158 () 222Pisymbolcryst159 () 222Pisymbolcryst175 (macr) 222Pisymbolcryst177 (plusmn) 222Pisymbolcryst178 (sup2) 222Pisymbolcryst179 (sup3) 222Pisymbolcryst185 (sup1) 222Pisymbolcryst187 (raquo) 222Pisymbolcryst188 (frac14) 222Pisymbolcryst189 (frac12) 222Pisymbolcryst195 (Atilde) 222Pisymbolcryst197 (Aring) 222Pisymbolcryst198 (AElig) 222Pisymbolcryst199 (Ccedil) 222Pisymbolcryst202 (Ecirc) 222Pisymbolcryst203 (Euml) 222Pisymbolcryst204 (Igrave) 222Pisymbolcryst210 (Ograve) 222Pisymbolcryst212 (Ocirc)

222Pisymbolcryst213 (Otilde) 222Pisymbolcryst220 (Uuml) 222Pisymbolcryst221 (Yacute)

222Pisymbolcryst223 (szlig) 222Pisymbolcryst224 (agrave) 222Pisymbolcryst230 (aelig) 222Pisymbolcryst231 (ccedil) 222Pisymbolcryst232 (egrave) 222Pisymbolcryst233 (eacute) 222Pisymbolcryst236 (igrave) 222Pisymbolcryst240 (eth) 222Pisymbolcryst241 (ntilde) 222Pisymbolcryst242 (ograve) 222Pisymbolcryst243 (oacute)

222Pisymboldancers0 () 217Pisymboldancers1 () 217Pisymboldancers2 () 217Pisymboldancers3 () 217Pisymboldancers4 () 217Pisymboldancers5 () 217Pisymboldancers6 () 217Pisymboldancers7 () 217Pisymboldancers8 () 217Pisymboldancers9 () 217Pisymboldancers10 () 217Pisymboldancers11 () 217Pisymboldancers12 () 217Pisymboldancers13 (13) 217Pisymboldancers14 () 217Pisymboldancers15 () 217Pisymboldancers16 () 217Pisymboldancers17 () 218

Pisymboldancers18 () 218Pisymboldancers19 () 218Pisymboldancers20 () 218Pisymboldancers21 () 218Pisymboldancers22 () 218Pisymboldancers23 () 218Pisymboldancers24 () 218Pisymboldancers25 () 218Pisymboldancers26 () 218Pisymboldancers27 () 218Pisymboldancers28 () 218Pisymboldancers29 () 218Pisymboldancers30 () 218Pisymboldancers31 () 218Pisymboldancers32 ( ) 218Pisymboldancers33 () 218Pisymboldancers34 () 218Pisymboldancers35 () 218Pisymboldancers36 ($) 218Pisymboldancers37 () 218Pisymboldancers38 (amp) 218Pisymboldancers39 () 218Pisymboldancers40 (() 218Pisymboldancers41 ()) 218Pisymboldancers42 () 218Pisymboldancers43 (+) 218Pisymboldancers44 () 218Pisymboldancers45 (-) 218Pisymboldancers46 () 218Pisymboldancers47 () 218Pisymboldancers48 (0) 218Pisymboldancers49 (1) 219Pisymboldancers50 (2) 219Pisymboldancers51 (3) 219Pisymboldancers52 (4) 219Pisymboldancers53 (5) 219Pisymboldancers54 (6) 219Pisymboldancers55 (7) 219Pisymboldancers56 (8) 219Pisymboldancers57 (9) 219Pisymboldancers58 () 219Pisymboldancers59 () 219Pisymboldancers60 (lt) 219Pisymboldancers61 (=) 219Pisymboldancers62 (gt) 219Pisymboldancers63 () 219Pisymboldancers64 () 219Pisymboldancers65 (A) 219Pisymboldancers66 (B) 219Pisymboldancers67 (C) 219Pisymboldancers68 (D) 219Pisymboldancers69 (E) 219Pisymboldancers70 (F) 219Pisymboldancers71 (G) 219Pisymboldancers72 (H) 219Pisymboldancers73 (I) 219Pisymboldancers74 (J) 219Pisymboldancers75 (K) 219Pisymboldancers76 (L) 219

Pisymboldancers77 (M) 219Pisymboldancers78 (N) 219Pisymboldancers79 (O) 219Pisymboldancers80 (P) 219Pisymboldancers81 (Q) 220Pisymboldancers82 (R) 220Pisymboldancers83 (S) 220Pisymboldancers84 (T) 220Pisymboldancers85 (U) 220Pisymboldancers86 (V) 217Pisymboldancers87 (W) 217Pisymboldancers88 (X) 217Pisymboldancers89 (Y) 217Pisymboldancers90 (Z) 217Pisymboldancers91 ([) 217Pisymboldancers92 () 217Pisymboldancers93 (]) 217Pisymboldancers94 (^) 217Pisymboldancers95 (_) 217Pisymboldancers96 (`) 217Pisymboldancers97 (a) 217Pisymboldancers98 (b) 217Pisymboldancers99 (c) 217Pisymboldancers100 (d)

217Pisymboldancers101 (e)

217Pisymboldancers102 (f)

217Pisymboldancers103 (g)

218Pisymboldancers104 (h)

218Pisymboldancers105 (i)

218Pisymboldancers106 (j)

218Pisymboldancers107 (k)

218Pisymboldancers108 (l)

218Pisymboldancers109 (m)

218Pisymboldancers110 (n)

218Pisymboldancers111 (o)

218Pisymboldancers112 (p)

218Pisymboldancers113 (q)

218Pisymboldancers114 (r)

218Pisymboldancers115 (s)

218Pisymboldancers116 (t)

218Pisymboldancers117 (u)

218

316

Pisymboldancers118 (v) 218

Pisymboldancers119 (w) 218

Pisymboldancers120 (x) 218

Pisymboldancers121 (y) 218

Pisymboldancers122 (z) 218

Pisymboldancers123 () 218

Pisymboldancers124 (|) 218


Pisymboldancers126 (~) 218


































Pisymboldancers160 ( ) 219

Pisymboldancers161 (iexcl) 219

Pisymboldancers162 (cent) 219

Pisymboldancers163 (pound) 219

Pisymboldancers164 (curren) 219

Pisymboldancers165 (yen) 219

Pisymboldancers166 (brvbar) 219

Pisymboldancers167 (sect) 220

Pisymboldancers168 (uml) 220

Pisymboldancers169 (copy) 220

Pisymboldancers170 (ordf) 220

Pisymboldancers171 (laquo) 220

Pisymboldancers172 (not) 217

Pisymboldancers173 (shy) 217

Pisymboldancers174 (reg) 217

Pisymboldancers175 (macr) 217

Pisymboldancers176 (deg) 217

Pisymboldancers177 (plusmn) 217

Pisymboldancers178 (sup2) 217


Pisymboldancers180 (acute) 217

Pisymboldancers181 (micro) 217

Pisymboldancers182 (para) 217

Pisymboldancers183 (middot) 217

Pisymboldancers184 (cedil) 217


Pisymboldancers186 (ordm) 217

Pisymboldancers187 (raquo) 217

Pisymboldancers188 (frac14) 217



Pisymboldancers191 (iquest) 218

Pisymboldancers192 (Agrave) 218

Pisymboldancers193 (Aacute) 218

Pisymboldancers194 (Acirc) 218

Pisymboldancers195 (Atilde) 218

Pisymboldancers196 (Auml) 218

Pisymboldancers197 (Aring) 218

Pisymboldancers198 (AElig) 218

Pisymboldancers199 (Ccedil) 218

Pisymboldancers200 (Egrave) 218

Pisymboldancers201 (Eacute) 218

Pisymboldancers202 (Ecirc) 218

Pisymboldancers203 (Euml) 218

Pisymboldancers204 (Igrave) 218

317

Pisymboldancers205 (Iacute) 218

Pisymboldancers206 (Icirc) 218

Pisymboldancers207 (Iuml) 218

Pisymboldancers208 (ETH) 218

Pisymboldancers209 (Ntilde) 218

Pisymboldancers210 (Ograve) 218

Pisymboldancers211 (Oacute) 218

Pisymboldancers212 (Ocirc) 218

Pisymboldancers213 (Otilde) 218

Pisymboldancers214 (Ouml) 218

Pisymboldancers215 (times) 218

Pisymboldancers216 (Oslash) 218

Pisymboldancers217 (Ugrave) 218

Pisymboldancers218 (Uacute) 218

Pisymboldancers219 (Ucirc) 218

Pisymboldancers220 (Uuml) 218

Pisymboldancers221 (Yacute) 219

Pisymboldancers222 (THORN) 219

Pisymboldancers223 (szlig) 219

Pisymboldancers224 (agrave) 219

Pisymboldancers225 (aacute) 219

Pisymboldancers226 (acirc) 219

Pisymboldancers227 (atilde) 219

Pisymboldancers228 (auml) 219

Pisymboldancers229 (aring) 219

Pisymboldancers230 (aelig) 219

Pisymboldancers231 (ccedil) 219

Pisymboldancers232 (egrave) 219

Pisymboldancers233 (eacute) 219

Pisymboldancers234 (ecirc) 219

Pisymboldancers235 (euml) 219

Pisymboldancers236 (igrave) 219

Pisymboldancers237 (iacute) 219

Pisymboldancers238 (icirc) 219

Pisymboldancers239 (iuml) 219

Pisymboldancers240 (eth) 219

Pisymboldancers241 (ntilde) 219

Pisymboldancers242 (ograve) 219

Pisymboldancers243 (oacute) 219

Pisymboldancers244 (ocirc) 219

Pisymboldancers245 (otilde) 219

Pisymboldancers246 (ouml) 219

Pisymboldancers247 (divide) 219

Pisymboldancers248 (oslash) 219

Pisymboldancers249 (ugrave) 219

Pisymboldancers250 (uacute) 219

Pisymboldancers251 (ucirc) 219

Pisymboldancers252 (uuml) 219

Pisymboldancers253 (yacute) 220

Pisymboldancers254 (thorn) 220

Pisymboldancers255 (yuml) 220

Pisymboldice3d49 (1) 223






Pisymboldice3d97 (a) 223

Pisymboldice3d98 (b) 223

Pisymboldice3d99 (c) 223

Pisymboldice3d100 (d) 223

Pisymboldice3d101 (e) 223

Pisymboldice3d102 (f) 223

Pisymboldice3d103 (g) 223

Pisymboldice3d104 (h) 223

Pisymboldice3d105 (i) 223

Pisymboldice3d106 (j) 223

Pisymboldice3d107 (k) 223

Pisymboldice3d108 (l) 223

Pisymboldice3d109 (m) 223

Pisymboldice3d110 (n) 223

Pisymboldice3d111 (o) 223

Pisymboldice3d112 (p) 223

Pisymboldice3d113 (q) 223

Pisymboldice3d114 (r) 223

Pisymboldice3d115 (s) 223

Pisymboldice3d116 (t) 223

Pisymboldice3d117 (u) 223

Pisymboldice3d118 (v) 223

Pisymboldice3d119 (w) 223

Pisymboldice3d120 (x) 223

Pisymboldingbat69

(E) 213

Pisymboldingbat70

(F) 213

Pisymboldingbat71

318

(G) 213

Pisymboldingbat72

(H) 213

Pisymboldingbat74

(J) 213

Pisymboldingbat75

(K) 213

Pisymboldingbat76

(L) 213

Pisymboldingbat77

(M) 213

Pisymboldingbat97 (a) 213

Pisymboldingbat98 (b) 213

Pisymboldingbat99 (c) 213

Pisymboldingbat100

(d) 213

Pisymboldingbat101

(e) 213

Pisymboldingbat102

(f) 213

Pisymboldingbat103

(g) 213

Pisymboldingbat104

(h) 213

Pisymbolfselch0 () 224













Pisymbolfselch13 (13) 224



















Pisymbolfselch32 ( ) 225




Pisymbolfselch36 ($) 225


Pisymbolfselch38 (amp) 225


Pisymbolfselch40 (() 225

Pisymbolfselch41 ()) 225


Pisymbolfselch43 (+) 225


Pisymbolfselch45 (-) 225















Pisymbolfselch60 (lt) 224

Pisymbolfselch61 (=) 224

319

Pisymbolfselch62 (gt) 224



Pisymbolfselch65 (A) 224

Pisymbolfselch66 (B) 224

Pisymbolfselch67 (C) 224

Pisymbolfselch68 (D) 224

Pisymbolfselch69 (E) 224

Pisymbolfselch70 (F) 224

Pisymbolfselch71 (G) 225

Pisymbolfselch72 (H) 225

Pisymbolfselch73 (I) 225

Pisymbolfselch74 (J) 225

Pisymbolfselch75 (K) 225

Pisymbolfselch76 (L) 225

Pisymbolfselch77 (M) 225

Pisymbolfselch78 (N) 225

Pisymbolfselch79 (O) 225

Pisymbolfselch80 (P) 225

Pisymbolfselch81 (Q) 225

Pisymbolfselch82 (R) 225

Pisymbolfselch83 (S) 225

Pisymbolfselch84 (T) 225

Pisymbolfselch85 (U) 225

Pisymbolfselch86 (V) 225

Pisymbolfselch87 (W) 225

Pisymbolfselch88 (X) 225

Pisymbolfselch89 (Y) 225

Pisymbolfselch90 (Z) 225

Pisymbolfselch91 ([) 225


Pisymbolfselch93 (]) 225

Pisymbolfselch94 (^) 225

Pisymbolfselch95 (_) 225

Pisymbolfselch96 (`) 225

Pisymbolfselch97 (a) 225

Pisymbolfselch98 (b) 225

Pisymbolfselch99 (c) 225

Pisymbolfselch100 (d) 225

Pisymbolfselch101 (e) 225

Pisymbolfselch102 (f) 225

Pisymbolfselch103 (g) 225

Pisymbolfselch104 (h) 225

Pisymbolfselch105 (i) 225

Pisymbolfselch106 (j) 225

Pisymbolfselch107 (k) 225

Pisymbolfselch108 (l) 225

Pisymbolfselch109 (m) 225

Pisymbolfselch110 (n) 224

Pisymbolfselch111 (o) 224

Pisymbolfselch112 (p) 224

Pisymbolfselch113 (q) 224

Pisymbolfselch114 (r) 224

Pisymbolfselch115 (s) 224

Pisymbolfselch116 (t) 224

Pisymbolfselch117 (u) 224

Pisymbolfselch118 (v) 224

Pisymbolfselch119 (w) 224

Pisymbolfselch120 (x) 224

Pisymbolfselch121 (y) 224

Pisymbolfselch122 (z) 224


Pisymbolfselch124 (|) 224


Pisymbolfselch126 (~) 225














320









Pisymbolfselch163 (pound) 225

Pisymbolfselch169 (copy) 225

Pisymbolfselch175 (macr) 225

Pisymbolfselch180 (acute) 225

Pisymbolfselch186 (ordm) 225

Pisymbolfselch192 (Agrave) 225

Pisymbolfselch198 (AElig) 225

Pisymbolfselch204 (Igrave) 225

Pisymbolfselch210 (Ograve) 225

Pisymbolfselch216 (Oslash) 225

Pisymbolfselch222 (THORN) 225

Pisymbolfselch228 (auml) 225

Pisymbolfselch234 (ecirc) 225

Pisymbolfselch240 (eth) 225

Pisymbolfselch246 (ouml) 225

Pisymbolgreenpoint71

(G) 204

Pisymbolhands65 (A) 204

Pisymbolhands66 (B) 204

Pisymbolhands67 (C) 204

Pisymbolhands68 (D) 204

Pisymbolknot148 (0) 213






Pisymbolknot158 () 213


Pisymbolknot160 (lt) 214

Pisymbolknot161 (=) 214

Pisymbolknot162 (gt) 214



Pisymbolknot165 (A) 214

Pisymbolknot166 (B) 214

Pisymbolknot167 (C) 214

Pisymbolknot168 (D) 213

Pisymbolknot169 (E) 213

Pisymbolknot170 (F) 213

Pisymbolknot171 (G) 213

Pisymbolknot172 (H) 213

Pisymbolknot173 (I) 213

Pisymbolknot174 (J) 213

Pisymbolknot175 (K) 214

Pisymbolknot176 (L) 214

Pisymbolknot177 (M) 214

Pisymbolknot178 (N) 214

Pisymbolknot179 (O) 214

Pisymbolknot180 (P) 214

Pisymbolknot181 (Q) 214

Pisymbolknot182 (R) 214

Pisymbolknot183 (S) 214

Pisymbolknot184 (T) 213

Pisymbolknot185 (U) 213

Pisymbolknot186 (V) 213

Pisymbolknot187 (W) 213

Pisymbolknot188 (X) 213

Pisymbolknot196 (`) 213

Pisymbolknot197 (a) 213

Pisymbolknot198 (b) 214

Pisymbolknot199 (c) 214

Pisymbolknot1100 (d) 214

Pisymbolknot1101 (e) 214

Pisymbolknot1102 (f) 214

Pisymbolknot1103 (g) 214

Pisymbolknot1104 (h) 214

Pisymbolknot1105 (i) 214




























321













































































































322










































































































323











































Pisymbolmagic48 (0) 224










Pisymbolmagic66 (B) 224

Pisymbolmagic71 (G) 224

Pisymbolmagic82 (R) 224

Pisymbolmagic84 (T) 224

Pisymbolmagic85 (U) 224

Pisymbolmagic87 (W) 224

Pisymbolmagic88 (X) 224

Pisymbolmagic90 (Z) 224

Pisymbolmoonphase0 () 206




Pisymbolnkarta33 () 204



Pisymbolnkarta36 ($) 204


Pisymbolnkarta38 (amp) 204


Pisymbolnkarta40 (() 204

Pisymbolnkarta41 ()) 204


Pisymbolnkarta43 (+) 204


Pisymbolnkarta45 (-) 205



Pisymbolnkarta48 (0) 205












Pisymbolnkarta60 (lt) 205

Pisymbolnkarta61 (=) 205

Pisymbolnkarta62 (gt) 205



Pisymbolnkarta65 (A) 205

Pisymbolnkarta66 (B) 205

Pisymbolnkarta67 (C) 205

Pisymbolnkarta68 (D) 205

Pisymbolnkarta69 (E) 205

Pisymbolnkarta70 (F) 205

Pisymbolnkarta71 (G) 205

Pisymbolnkarta72 (H) 205

Pisymbolnkarta73 (I) 205

Pisymbolnkarta74 (J) 205

Pisymbolnkarta75 (K) 205

Pisymbolnkarta76 (L) 205

Pisymbolnkarta77 (M) 205

Pisymbolnkarta78 (N) 205

Pisymbolnkarta79 (O) 205

Pisymbolnkarta80 (P) 205

Pisymbolnkarta81 (Q) 205

Pisymbolnkarta82 (R) 205

Pisymbolnkarta83 (S) 205

Pisymbolnkarta84 (T) 205

Pisymbolnkarta85 (U) 205

Pisymbolnkarta86 (V) 205

Pisymbolnkarta87 (W) 205

Pisymbolnkarta88 (X) 205

Pisymbolnkarta89 (Y) 205

Pisymbolnkarta90 (Z) 205

Pisymbolnkarta91 ([) 205

Pisymbolnkarta92 ()

206

Pisymbolnkarta93 (]) 206

324

Pisymbolnkarta94 (^) 206

Pisymbolnkarta95 (_) 206Pisymbolnkarta96 (`) 204Pisymbolnkarta97 (a) 204Pisymbolnkarta98 (b) 204Pisymbolnkarta99 (c) 204Pisymbolnkarta100 (d)

204Pisymbolnkarta101 (e)

204Pisymbolnkarta102 (f)

204Pisymbolnkarta103 (g)

204Pisymbolnkarta104 (h)

204

Pisymbolnkarta105 (i) 204

Pisymbolnkarta106 (j) 204

Pisymbolnkarta107 (k) 204

Pisymbolnkarta108 (l) 205

Pisymbolnkarta109 (m) 205

Pisymbolnkarta110 (n) 205

Pisymbolnkarta111 (o) 205

Pisymbolnkarta112 (p) 205

Pisymbolnkarta113 (q) 205

Pisymbolnkarta114 (r) 205

Pisymbolnkarta115 (s) 205

Pisymbolnkarta116 (t) 205

Pisymbolnkarta117 (u) 205

Pisymbolnkarta118 (v) 205

Pisymbolnkarta119 (w) 205

Pisymbolnkarta120 (x) 205

Pisymbolnkarta121 (y) 205

Pisymbolnkarta122 (z) 205Pisymbolnkarta123 ()

205Pisymbolnkarta124 (|)

205Pisymbolnkarta125 ()

205

Pisymbolnkarta126 (~) 205

Pisymbolnkarta161 (iexcl) 205

Pisymbolnkarta162 (cent) 205

Pisymbolnkarta163 (pound) 205

Pisymbolnkarta164

(curren) 205Pisymbolnkarta165 (yen)

205Pisymbolnkarta166 (brvbar)

205Pisymbolnkarta167 (sect)

205Pisymbolnkarta168 (uml)

205Pisymbolnkarta169 (copy) 205Pisymbolnkarta170 (ordf)

205Pisymbolnkarta171 (laquo)

205

Pisymbolnkarta172 (not) 205

Pisymbolnkarta173 (shy) 205

Pisymbolnkarta174 (reg) 205

Pisymbolnkarta175 (macr) 205

Pisymbolnkarta176 (deg) 205

Pisymbolnkarta177 (plusmn) 205

Pisymbolnkarta178 (sup2) 205


Pisymbolnkarta180 (acute) 205

Pisymbolnkarta181 (micro) 205

Pisymbolnkarta182 (para) 205

Pisymbolnkarta183 (middot) 205

Pisymbolnkarta184 (cedil) 205


Pisymbolnkarta186 (ordm) 205

Pisymbolnkarta187 (raquo) 205

Pisymbolnkarta188 (frac14) 205Pisymbolnkarta189 (frac12)

206

Pisymbolnkarta190 (frac34) 206

Pisymbolnkarta191 (iquest) 206

Pisymbolnkarta192 (Agrave) 206

Pisymbolnkarta193 (Aacute) 204

Pisymbolnkarta194 (Acirc) 204

Pisymbolnkarta195 (Atilde) 204

Pisymbolnkarta196 (Auml) 204

Pisymbolnkarta197 (Aring) 204

Pisymbolnkarta198 (AElig) 204

Pisymbolnkarta199 (Ccedil) 204

Pisymbolnkarta200 (Egrave) 204

Pisymbolnkarta201 (Eacute) 204

Pisymbolnkarta202 (Ecirc) 204

Pisymbolnkarta203 (Euml) 204

Pisymbolnkarta204 (Igrave) 204

Pisymbolnkarta205 (Iacute) 205

Pisymbolnkarta206 (Icirc) 205

Pisymbolnkarta207 (Iuml) 205

Pisymbolnkarta208 (ETH) 205

Pisymbolnkarta209 (Ntilde) 205

Pisymbolnkarta210 (Ograve) 205

Pisymbolnkarta211 (Oacute) 205

Pisymbolnkarta212 (Ocirc) 205

Pisymbolnkarta213 (Otilde) 205

Pisymbolnkarta214 (Ouml) 205

Pisymbolnkarta215 (times) 205

Pisymbolnkarta216 (Oslash) 205

Pisymbolnkarta217 (Ugrave) 205

Pisymbolnkarta218 (Uacute) 205

325

Pisymbolnkarta219 (Ucirc) 205

Pisymbolnkarta220 (Uuml) 205

Pisymbolnkarta221 (Yacute) 205

Pisymbolnkarta222 (THORN) 205

Pisymbolnkarta223 (szlig) 205

Pisymbolnkarta224 (agrave) 205

Pisymbolnkarta225 (aacute) 205

Pisymbolnkarta226 (acirc) 205

Pisymbolnkarta227 (atilde) 205

Pisymbolnkarta228 (auml) 205

Pisymbolnkarta229 (aring) 205

Pisymbolnkarta230 (aelig) 205

Pisymbolnkarta231 (ccedil) 205

Pisymbolnkarta232 (egrave) 205

Pisymbolnkarta233 (eacute) 205Pisymbolnkarta234 (ecirc) 205Pisymbolnkarta235 (euml)

205Pisymbolnkarta236 (igrave)

205Pisymbolnkarta237 (iacute)

205Pisymbolnkarta238 (icirc)

205Pisymbolnkarta239 (iuml)

205Pisymbolnkarta240 (eth)

205Pisymbolnkarta241 (ntilde)

205Pisymbolnkarta242 (ograve)

205Pisymbolnkarta243 (oacute)

205Pisymbolnkarta244 (ocirc)

205Pisymbolnkarta245 (otilde)

205Pisymbolnkarta246 (ouml)

205Pisymbolnkarta247 (divide)

205Pisymbolnkarta248 (oslash)

205

Pisymbolnkarta249 (ugrave) 205

Pisymbolnkarta250 (uacute) 205

Pisymbolnkarta251 (ucirc) 205

Pisymbolnkarta252 (uuml) 206

Pisymbolnkarta253 (yacute) 206

Pisymbolnkarta254 (thorn) 206

Pisymbolsmfpr1034 () 220


Pisymbolsmfpr1036 ($) 220



Pisymbolsmfpr1048 ($0) 220










Pisymbolsmfpr1065 (A) 220

Pisymbolsmfpr1066 (B) 220

Pisymbolsmfpr1067 (C) 220

Pisymbolsmfpr1068 (D) 220

Pisymbolsmfpr1069 (E) 220

Pisymbolsmfpr1070 (F) 220

Pisymbolsmfpr1071 (G) 220

Pisymbolsmfpr1072 (H) 220

Pisymbolsmfpr1073 (I) 220

Pisymbolsmfpr1074 (J) 220

Pisymbolsmfpr1075 (K) 220

Pisymbolsmfpr1076 (L) 220

Pisymbolsmfpr1077 (M) 220

Pisymbolsmfpr1078 (N) 221

Pisymbolsmfpr1079 (O) 221

Pisymbolsmfpr1080 (P) 221

Pisymbolsmfpr1081 (Q) 221

Pisymbolsmfpr1082 (R) 221

Pisymbolsmfpr1083 (S) 221

Pisymbolsmfpr1084 (T) 221

Pisymbolsmfpr1085 (U) 221

Pisymbolsmfpr1086 (V) 221

Pisymbolsmfpr1087 (W) 221

Pisymbolsmfpr1088 (X) 221

Pisymbolsmfpr1089 (Y) 221

Pisymbolsmfpr1090 (Z) 221

Pisymbolsmfpr1097 (a) 221

Pisymbolsmfpr1098 (b) 221

Pisymbolsmfpr1099 (c) 221

Pisymbolsmfpr10100 (d) 221

Pisymbolsmfpr10101 (e) 221

Pisymbolsmfpr10102 (f) 221

Pisymbolsmfpr10103 (g) 221

Pisymbolsmfpr10104 (h) 221

Pisymbolsmfpr10105 (i) 221

Pisymbolsmfpr10106 (j) 221

Pisymbolsmfpr10107 (k) 221

326

Pisymbolsmfpr10108 (l) 221

Pisymbolsmfpr10109 (m) 221

Pisymbolsmfpr10110 (n) 221

Pisymbolsmfpr10111 (o) 221

Pisymbolsmfpr10112 (p) 221

Pisymbolsmfpr10113 (q) 221

Pisymbolsmfpr10114 (r) 221

Pisymbolsmfpr10115 (s) 221

Pisymbolsmfpr10116 (t) 220

Pisymbolsmfpr10117 (u) 220

Pisymbolsmfpr10118 (v) 220

Pisymbolsmfpr10119 (w) 220

Pisymbolsmfpr10120 (x) 220

Pisymbolsmfpr10121 (y) 220

Pisymbolsmfpr10122 (z) 220

Pisymbolsmfpr10126 (˜) 220

Pisymbolsmfpr10128 (Ă) 220

Pisymbolsmfpr10129 (Ą) 220

Pisymbolsmfpr10130 (Ć) 220

Pisymbolsmfpr10131 (Č) 220

Pisymbolsmfpr10132 (Ď) 220

Pisymbolsmfpr10133 (Ě) 220

Pisymbolsmfpr10134 (Ę) 220

Pisymbolsmfpr10135 (Ğ) 220

Pisymbolsmfpr10136 (Ĺ) 220

Pisymbolsmfpr10137 (Ľ) 220

Pisymbolsmfpr10138 (Ł) 220

Pisymbolsmfpr10139 (Ń) 220

Pisymbolsmfpr10140 (Ň) 220

Pisymbolsmfpr10142 (Ő) 220

Pisymbolsmfpr10143 (Ŕ) 220

Pisymbolsmfpr10144 (Ř) 220

Pisymbolsmfpr10145 (Ś) 220

Pisymbolsmfpr10146 (Š) 220

Pisymbolsmfpr10147 (Ş) 220

Pisymbolsmfpr10148 (Ť) 220

Pisymbolsmfpr10149 (Ţ) 221

Pisymbolsmfpr10150 (Ű) 221

Pisymbolsmfpr10151 (Ů) 221

Pisymbolsmfpr10152 (Ÿ) 221

Pisymbolsmfpr10153 (Ź) 221

Pisymbolsmfpr10154 (Ž) 221

Pisymbolsmfpr10155 (Ż) 221

Pisymbolsmfpr10157 (İ) 221

Pisymbolsmfpr10158 (đ) 221

Pisymbolsmfpr10160 (ă) 221

Pisymbolsmfpr10161 (ą) 221

Pisymbolsmfpr10162 (ć) 221

Pisymbolsmfpr10163 (č) 221

Pisymbolsmfpr10164 (ď) 221

Pisymbolsmfpr10165 (ě) 221

Pisymbolsmfpr10166 (ę) 221

Pisymbolsmfpr10167 (ğ) 221

Pisymbolsmfpr10168 (ĺ) 221

Pisymbolsmfpr10169 (ľ) 221

Pisymbolsmfpr10170 (ł) 221

Pisymbolsmfpr10171 (ń) 221

Pisymbolsmfpr10172 (ň) 221

Pisymbolsmfpr10174 (ő) 221

Pisymbolsmfpr10175 (ŕ) 221

Pisymbolsmfpr10176 (ř) 221

Pisymbolsmfpr10177 (ś) 221

Pisymbolsmfpr10178 (š) 221

Pisymbolsmfpr10179 (ş) 221

Pisymbolsmfpr10180 (ť) 221

Pisymbolsmfpr10181 (ţ) 221

Pisymbolsmfpr10182 (ű) 221

Pisymbolsmfpr10183 (ů) 221

Pisymbolsmfpr10184 (yuml) 220

Pisymbolsmfpr10185 (ź) 220

Pisymbolsmfpr10186 (ž) 220

Pisymbolsmfpr10187 (ż) 220

Pisymbolsmfpr10192 (Agrave) 220

Pisymbolsmfpr10193 (Aacute) 220

Pisymbolsmfpr10194 (Acirc) 220

Pisymbolsmfpr10195 (Atilde) 220

Pisymbolsmfpr10196 (Auml) 220

Pisymbolsmfpr10197 (Aring) 220

Pisymbolsmfpr10199 (Ccedil) 220

Pisymbolsmfpr10200 (Egrave) 220

Pisymbolsmfpr10201 (Eacute) 220

Pisymbolsmfpr10202 (Ecirc) 220

Pisymbolsmfpr10203 (Euml) 220

Pisymbolsmfpr10204 (Igrave) 220

Pisymbolsmfpr10205 (Iacute) 220

Pisymbolsmfpr10206 (Icirc) 220

Pisymbolsmfpr10207 (Iuml) 220

327

Pisymbolsmfpr10209 (Ntilde) 220

Pisymbolsmfpr10210 (Ograve) 220

Pisymbolsmfpr10211 (Oacute) 220

Pisymbolsmfpr10212 (Ocirc) 220

Pisymbolsmfpr10213 (Otilde) 220

Pisymbolsmfpr10214 (Ouml) 220

Pisymbolsmfpr10216 (Oslash) 220

Pisymbolsmfpr10217 (Ugrave) 220

Pisymbolsmfpr10218 (Uacute) 220

Pisymbolsmfpr10219 (Ucirc) 221

Pisymbolsmfpr10220 (Uuml) 221

Pisymbolsmfpr10221 (Yacute) 221

Pisymbolsmfpr10224 (agrave) 221

Pisymbolsmfpr10225 (aacute) 221

Pisymbolsmfpr10226 (acirc) 221

Pisymbolsmfpr10227 (atilde) 221

Pisymbolsmfpr10228 (auml) 221

Pisymbolsmfpr10229 (aring) 221

Pisymbolsmfpr10231 (ccedil) 221

Pisymbolsmfpr10232 (egrave) 221

Pisymbolsmfpr10233 (eacute) 221

Pisymbolsmfpr10234 (ecirc) 221

Pisymbolsmfpr10235 (euml) 221

Pisymbolsmfpr10236 (igrave) 221

Pisymbolsmfpr10237 (iacute) 221

Pisymbolsmfpr10238 (icirc) 221

Pisymbolsmfpr10239 (iuml) 221

Pisymbolsmfpr10241 (ntilde) 221

Pisymbolsmfpr10242 (ograve) 221

Pisymbolsmfpr10243 (oacute) 221

Pisymbolsmfpr10244 (ocirc) 221

Pisymbolsmfpr10245 (otilde) 221

Pisymbolsmfpr10246 (ouml) 221

Pisymbolsmfpr10248 (oslash) 221

Pisymbolsmfpr10249 (ugrave) 221

Pisymbolsmfpr10250 (uacute) 221

Pisymbolsmfpr10251 (ucirc) 221

Pisymbolsmfpr10252 (uuml) 221

Pisymbolsmfpr10253 (yacute) 221

Pisymbolumranda0 () 210













Pisymbolumranda13 (13) 210



















Pisymbolumranda32 ( ) 211




Pisymbolumranda36 ($) 210


Pisymbolumranda38 (amp) 210


Pisymbolumranda40 (() 210

Pisymbolumranda41 ()) 210


328

Pisymbolumranda43 (+) 210


Pisymbolumranda45 (-) 210















Pisymbolumranda60 (lt) 211

Pisymbolumranda61 (=) 211

Pisymbolumranda62 (gt) 211



Pisymbolumranda65 (A) 211

Pisymbolumranda66 (B) 211

Pisymbolumranda67 (C) 211

Pisymbolumranda68 (D) 210

Pisymbolumranda69 (E) 210

Pisymbolumranda70 (F) 210

Pisymbolumranda71 (G) 210

Pisymbolumranda72 (H) 210

Pisymbolumranda73 (I) 210

Pisymbolumranda74 (J) 210

Pisymbolumranda75 (K) 210

Pisymbolumranda76 (L) 210

Pisymbolumranda77 (M) 210

Pisymbolumranda78 (N) 210

Pisymbolumranda79 (O) 210

Pisymbolumranda80 (P) 210

Pisymbolumranda81 (Q) 210

Pisymbolumranda82 (R) 210

Pisymbolumranda83 (S) 211

Pisymbolumranda84 (T) 211

Pisymbolumranda85 (U) 211

Pisymbolumranda86 (V) 211

Pisymbolumranda87 (W) 211

Pisymbolumranda88 (X) 211

Pisymbolumranda89 (Y) 211

Pisymbolumranda90 (Z) 211

Pisymbolumranda91 ([) 211


Pisymbolumranda93 (]) 211

Pisymbolumranda94 (^) 211

Pisymbolumranda95 (_) 211

Pisymbolumranda96 (`) 211

Pisymbolumranda97 (a) 211

Pisymbolumranda98 (b) 211

Pisymbolumranda99 (c) 211

Pisymbolumranda100 (d) 211

Pisymbolumranda101 (e) 211

Pisymbolumrandb0 () 211













Pisymbolumrandb13 (13) 212


329


















Pisymbolumrandb32 ( ) 212




Pisymbolumrandb36 ($) 212


Pisymbolumrandb38 (amp) 212


Pisymbolumrandb40 (() 212

Pisymbolumrandb41 ()) 212


Pisymbolumrandb43 (+) 211


Pisymbolumrandb45 (-) 211















Pisymbolumrandb60 (lt) 212

Pisymbolumrandb61 (=) 212

Pisymbolumrandb62 (gt) 212



Pisymbolumrandb65 (A) 212

Pisymbolumrandb66 (B) 212

Pisymbolumrandb67 (C) 212

Pisymbolumrandb68 (D) 212

Pisymbolumrandb69 (E) 212

Pisymbolumrandb70 (F) 212

Pisymbolumrandb71 (G) 212

Pisymbolumrandb72 (H) 212

Pisymbolumrandb73 (I) 212

Pisymbolumrandb74 (J) 212

Pisymbolumrandb75 (K) 212

Pisymbolumrandb76 (L) 212

Pisymbolumrandb77 (M) 212

Pisymbolumrandb78 (N) 212

Pisymbolumrandb79 (O) 212

Pisymbolumrandb80 (P) 212

Pisymbolumrandb81 (Q) 212

Pisymbolumrandb82 (R) 212

Pisymbolumrandb83 (S) 212

Pisymbolumrandb84 (T) 211

Pisymbolumrandb85 (U) 211

Pisymbolumrandb86 (V) 211

Pisymbolumrandb87 (W) 211

Pisymbolumrandb88 (X) 211

Pisymbolumrandb89 (Y) 211

Pisymbolumrandb90 (Z) 211

Pisymbolumrandb91 ([) 211


330

Pisymbolumrandb93 (]) 211

Pisymbolumrandb94 (^) 212

Pisymbolumrandb95 (_) 212

Pisymbolumrandb96 (`) 212

Pisymbolumrandb97 (a) 212

Pisymbolumrandb98 (b) 212

Pisymbolumrandb99 (c) 212

Pisymbolumrandb100 (d) 212

Pisymbolumrandb101 (e) 212

Pisymbolumrandb102 (f) 212

Pisymbolumrandb103 (g) 212

Pisymbolumrandb104 (h) 212

Pisymbolumrandb105 (i) 212

Pisymbolumrandb106 (j) 212

Pisymbolumrandb107 (k) 212

Pisymbolumrandb108 (l) 212

Pisymbolumrandb109 (m) 212

Pisymbolumrandb110 (n) 212

Pisymbolumrandb111 (o) 212

Pisymbolumrandb112 (p) 212

Pisymbolumrandb113 (q) 212

Pisymbolumrandb114 (r) 212

Pisymbolumrandb115 (s) 212

Pisymbolumrandb116 (t) 212

Pisymbolumrandb117 (u) 212

Pisymbolumrandb118 (v) 212

Pisymbolumrandb119 (w) 212

Pisymbolumrandb120 (x) 212

Pisymbolumrandb121 (y) 212

Pisymbolumrandb122 (z) 212


PisymbolWebOMintsGD47

() 209PisymbolWebOMintsGD48

(0) 209PisymbolWebOMintsGD49










(A) 209PisymbolWebOMintsGD66

(B) 209PisymbolWebOMintsGD67

(C) 209PisymbolWebOMintsGD68

(D) 209PisymbolWebOMintsGD69

(E) 209PisymbolWebOMintsGD70

(F) 209PisymbolWebOMintsGD71

(G) 209PisymbolWebOMintsGD72

(H) 209PisymbolWebOMintsGD73

(I) 209PisymbolWebOMintsGD74

(J) 209PisymbolWebOMintsGD75

(K) 209PisymbolWebOMintsGD76

(L) 210PisymbolWebOMintsGD77

(M) 210


(N) 210


(O) 210


(P) 210


(Q) 210


(R) 210


(S) 210


(T) 210


(U) 210


(V) 210


(W) 209


(X) 209


(Y) 209


(Z) 209


([) 209


(]) 209


(a) 209


(b) 209


(c) 209


(d) 209


(e) 209


(f) 209


(g) 209


(h) 209


(i) 209


(j) 209


(k) 209


(l) 209


(m) 209


(n) 209

331


(o) 209PisymbolWebOMintsGD112

(p) 209PisymbolWebOMintsGD113

(q) 210PisymbolWebOMintsGD114

(r) 210PisymbolWebOMintsGD115

(s) 210PisymbolWebOMintsGD116

(t) 210PisymbolWebOMintsGD117

(u) 210PisymbolWebOMintsGD118

(v) 210PisymbolWebOMintsGD119

(w) 210PisymbolWebOMintsGD120

(x) 210PisymbolWebOMintsGD121

(y) 210PisymbolWebOMintsGD122

(z) 210pitchfork (amp) 124pitchfork (t) 52pitchfork (szlig) 60pitchfork (⋔) 95pitchfork (⋔) 93pitchfork (⋔) 61pitchforks 52 93 95 118 124Pitmanrsquos base 12 symbols 122

185piup (π) 98planck ( h) 20

Plane () 152planets 131ndash133 206ndash209plasmon (119901) 138playing cards 151Plimsoll line 231

Plus () 143plus (+) 162plus (+) 34plus (+) 34plus-or-minus sign see pm

PlusCenterOpen (() 143pluscirc (macr) 33pluscirc (egrave) 35plusdot (⨥) 34plusdot (⨥) 36pluseqq (⩲) 36plushat (⨣) 36

PlusOutline (amp) 143plusses 143 204ndash206plussim (⨦) 36plussubtwo (⨧) 36

PlusThinCenterOpen ()) 143plustrif (otilde) 35

plustrif (⨨) 36Pluto (I) 132Pluto (Eacute) 132Pluto (J) 133pluto () 131pm (plusmn) 31pm (~) 35pm (plusmn) 34pm (plusmn) 34pm (plusmn) 36pm (

macr) 188

pmb 241pmboxdraw (package) 190 247

248pmod 96pod 96pointer () 181pointing finger see fistsPointingHand (Z) 182pointint (⨕) 49pointintsl (⨕) 51pointintup (⨕) 51pointright () 142Poland () 194polariton (120601) 138polaron (119896) 138polishhook (~) 25

polter ( ) 119

polutonikogreek (babel packageoption) 16 97 98

polygons 146ndash149 173ndash178204ndash206 222

polynom (package) 112polynomial division 112polytonic Greek 16 97 98portato ( ) 168portatoDown ( ) 168Portugal () 194Poseidon (sect) 133positron (119898) 138postalmark () 126

Postbox () 192PostScript 98 129 139 229 239PostScript fonts 139pot ( ) 196

Pound (thorn) 26pounds 15pounds ($) 242 243power set see alphabets mathpowerset (weierp) 100Pp (˙) 188pp ( ˙ ) 188ppm (

macr) 188

Ppp (˙˙) 188

ppp ( ˙˙

) 188Pppp (˙

˙) 188

pppp ( ˙˙

) 188

Ppppp (˙˙) 188

ppppp ( ˙˙

) 188Pr (Pr) 96Prec (⪻) 61prec (≺) 52prec (≺) 58prec (≺) 55prec (≺) 61precapprox (AElig) 54precapprox (w) 52precapprox (cedil) 60precapprox (⪷) 58precapprox (⪷) 55precapprox (⪷) 61preccurlyeq (ď) 54preccurlyeq (4) 52preccurlyeq (Icirc) 60preccurlyeq (≼) 58preccurlyeq (≼) 55preccurlyeq (≼) 61precdot (Igrave) 54preceq (⪯) 52preceq (⪯) 58preceq (⪯) 55preceq (⪯) 61preceqq () 53preceqq (⪳) 58preceqq (⪳) 61precnapprox (Ecirc) 54precnapprox () 53precnapprox () 60precnapprox (⪹) 58precnapprox (⪹) 57precnapprox (⪹) 62precneq (ň) 54precneq (⪱) 58 59precneq (⪱) 62precneqq () 53precneqq () 60precneqq (⪵) 58 59precneqq (⪵) 62precnsim (Auml) 54precnsim () 53precnsim () 60precnsim (⋨) 58precnsim (⋨) 57precnsim (⋨) 62precsim (Agrave) 54precsim (-) 52precsim (ordm) 60precsim (≾) 58precsim (≾) 55precsim (≾) 62prescription see textrecipe

present-value symbols 116 235prime (prime) 124prime (prime) 125prime (prime) 125prime (prime) 122

332

primes 122 124 125Printer (Ograve) 134printerrsquos fist see fistsprinterrsquos flowers see fleurons and

flowersprobabilistic independence 232probability limit (plim

119899rarrinfin) see

DeclareMathOperator

prod (prod

) 42prod (prod) 47prod (prod) 47

prod (prod

) 49PRODI 52

PRODI (T) 52Prodi 52

Prodi (R) 52prodi 52

prodi (P) 52prodint (package) 52 247product integrals 52profline () 126profsurf () 126Project Gutenberg 229projective space (P) see

alphabets mathprojlim (proj lim) 96pronunciation symbols see

phonetic symbolsproof end of 124proper subsetsuperset see

subsetneqsupsetneqproper vertices 137PropertyLine () 126propfrom () 58propto (9) 124propto (prop) 52propto (prop) 58propto (prop) 56propto (prop) 62protein (Otilde) 137proto-Semitic symbols 153proton (119889) 137protosem (package) 153 247ProvidesPackage 246PrtSc ( PrtSc ) 134

prurel () 60prurel (⊰) 62ps ( ) 188pseudographics 190Psi (Ψ) 97psi (120595) 97psiup (ψ) 98psnfss (package) 144PSTricks (package) 198Psyche (iquest) 133Pu (permil ) 165

pullback (⟓) 34

pullback (⟓) 62

pullback diagrams 233

pulse diagram symbols 130

PulseHigh ($) 130

PulseLow () 130

pumpkin ( ) 40

pumpkins 40

punctuation 17

punctum see musixgrePurierstab ( ) 196

pushout (⟔) 34

pushout (⟔) 62

pushout diagrams 233

pwedge (U) 20

pxfonts (package) 30 32 44 5354 65 68 76 95 98ndash100124 128 151 226 242

Pxp (˙) 188

pxp ( ˙ ) 188

Q

QED 124

QED (∎) 126

Qoppa (]) 159

qoppa () 159

qoppa (ϟ) 159

qp (gt) 164

qprime () 122

QQ () 134

qqs (B) 164

qs () 164

qside (M) 186

quaddot (lt) 162

quadeye () 162

Quadrad (]]) 110

quadrad (]]) 110

Quadras ([[) 110

quadras ([[) 110

quadrupole (Ocirc) 137

quark (119874) 137

quarkb (119875) 137

quarkc (119876) 137

quarkd (119877) 137

quarks (119878) 137

quarkt (119879) 137

quarku (119880) 137

quarter note see musicalsymbols

quarterNote (C) 166

quarternote () 163

quarternote () 163

quarternote () 163

quarterNoteDotted ( u ) 166

quarterNoteDottedDouble ( uu ) 166

quarterNoteDottedDoubleDown

(uu) 166

quarterNoteDottedDown (u)

166quarterNoteDown (

C) 166

quasi-quotation marks (p q) seeulcorner and urcorner

quaternions (H) see alphabetsmath

quaver see musical symbols

quaver ( ) 166

quaverDotted ( ) 166

quaverDottedDouble ( ) 166

quaverDottedDoubleDown ( )

166quaverDottedDown (

) 166

quaverDown ( ) 166

quaverRest ( ) 168quaverRestDotted ( ) 168queen 187 224ndash226

questeq (≟) 62Question () 126quilisma see musixgreQuincunx (o) 133Quine corners (p q) see

ulcorner and urcorner

quotation marks 14 17 28 196241 244

quotedblbase (bdquo) 17 244quotesinglbase (sbquo) 17 244

RR (R) 162R (Ž) 162R (sim

) 188r (a) 21r (sim

) 188r (r) 162r (r) 128

Radiation () 183radiation () 196radicals see sqrt and surd

Radioactivity (j) 136Radix ()) 133

Rain () 183

RainCloud () 183raindrop 224raising see textraising

RaisingEdge ( ) 130Rangle (gt) 129rAngle (⟩⟩) 109

rAngle (⟫) 106

rAngle (

⟫

) 108

333

rangle (⟩) 30 103

rangle (⟩) 106

rangle (⟩) 105

rangle (

⟩

) 108

ranglebar (s) 105

rangledot (⦒) 106

rangledot (⦒) 103rangledownzigzagarrow (⍼)

123RArrow ( rarr ) 134

rarrowfill 117ratio () 64

RATIONAL (frac12) 96

Rational (Ntilde) 96rational numbers (Q) see

alphabets mathrationalized Planck constant see

hbar

RB () 134Rbag (Q) 102rbag (O) 102rbag (szlig) 35rbag (⟆) 103rblackbowtie (iacute) 35rblkbrbrak (⦘) 103

rBrace (

⦄

) 108

rbrace () 106

rbrace () 107

rbrace (⎫⎪⎪⎬⎪⎭

) 105

rbrace (

) 108

Rbrack (]) 129rBrack (]]) 109

rBrack (⟧) 106

rBrack (⟧) 107

rBrack (

⟧

) 108

rbrack (]) 106

rbrack (]) 107rbracklrtick (⦎) 103rbrackubar (⦌) 103rbrackurtick (⦐) 103Rbrbrak (⟭) 103

rbrbrak (

❳

) 108

rc (a) 23

rCeil (rceilrceil) 109

rceil (rceil) 103

rceil (rceil) 106

rceil (⎤⎥⎥⎥⎥⎥) 105

rceil (

rceil

) 107

rcirclearrowdown (ucirc) 78

rcirclearrowleft (⟲) 78

rcirclearrowright (⤿) 78

rcirclearrowup () 78

rcircleleftint (∳) 47 48

rcircleleftint (∳) 47

rcirclerightint (∳) 47 48

rcirclerightint (∳) 47

rcorners (w) 102

rcurvearrowdown (⤹) 78

rcurvearrowleft () 78

rcurvearrowne (Auml) 78

rcurvearrownw (Aring) 78

rcurvearrowright (Agrave) 78

rcurvearrowse (Ccedil) 78

rcurvearrowsw (AElig) 78

rcurvearrowup (Aacute) 78

rcurvyangle (⧽) 103

rdbrack (w) 104

rdiagovfdiag (⤫) 126

rdiagovsearrow (⤰) 88

Rdsh () 82

Rdsh () 88

Re (real) 100

Re (real) 101

REAL (frac34) 96

Real (Ograve) 96

real numbers (R) see alphabetsmath

recipe see textrecipe

recorder () 181

Rectangle (u) 150

RectangleBold (v) 150

rectangles 150 173ndash178 204ndash206

RectangleThin (t) 150

Rectpipe () 136

Rectsteel () 136

recycle (package) 192 247

recycle () 196

recycle (A) 192

Recycling (THORN) 192

recycling symbols 192 196ndash202204

reduced quadrupole moment seerqm

reference (119897) 137reflectbox 229 230registered trademark 14 27 243Reibe ( ) 196relational database symbols 126relational symbols 52

binary 52ndash57 60ndash72 93ndash95negated binary 53 5456ndash57 59 60 62

triangle 72ndash74

relationleftproject ( laquo raquoampamp) 118relationlifting ( $$mdash) 118

relationrightproject ( ndash bdquo$$ ) 118

relations 118Relbar (=) 95 230Relbar (Ocirc) 56Relbar (lArr) 96relbar (minus) 95 230relbar (ETH) 56relbar (larr) 96relsize (package) 24

Request (iquest) 192resistivity (120559) 137resizebox 91 226Respondens (sim) 188respondens (sim) 188

response ( ) 245 246restoresymbol 226restrictbarb (permil) 92restrictbarbup ()) 92restriction (aelig) 76restriction () 85restriction () 80restriction () 91restrictions 76 80 81 85 90ndash92restrictmallet (rdquo) 92restrictmalletup () 92restrictwand () 92restrictwandup (() 92rests see musical symbolsretracting see textretracting

Retrograde (5) 133Return ( larr˒ ) 134

return see carriage returnrevangle (⦣) 123revangle (⦣) 123revangleubar (⦥) 123

revaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108

revD () 20

revddots ( ) 234

reve () 19

334

reveject (f) 19revemptyset (⦰) 125revemptyset (⦰) 123revepsilon () 19revepsilon () 229reverse solidus see

textbackslash

reverseallabreve () 164

reverseC (T) 164reversed symbols 229ndash230reversedvideodbend () 181reversemathcloud ( ) 40reversemathwitch ( ) 40reversemathwitch ( ) 40revglotstop (c) 19revmeasuredangle (⦛) 123revnmid (⫮) 62revsphericalangle (⦠) 123Rewind (para) 182RewindToIndex (acute) 182RewindToStart (micro) 182rfbowtie (⧒) 62

rfilet (

) 104

rFloor (rfloorrfloor) 109rfloor (rfloor) 103

rfloor (rfloor) 106

rfloor (⎥⎥⎥⎥⎥⎦) 105

rfloor (

rfloor

) 107

rftimes (⧕) 62

rgroup (⎫⎭) 104

rgroup (

⎫⎪⎪⎪⎪⎭) 106

rgroup (⎫⎪⎪⎪⎪⎭) 105

rgroup (⎧

⎪

⎩

) 107

RHD () 32rhd (B) 31 32rhd (⊳) 71rhd (⊳) 69 73rhd (⊳) 36 149Rho (P) 97rho (120588) 97rho (ρ) 98rhomesonminus (aelig) 137rhomesonnull (ccedil) 137rhomesonplus (aring) 137rhook () 96rhookdownarrow () 83rhookdownarrow () 78rhookleftarrow () 83

rhookleftarrow () 78rhooknearrow (⤤) 83rhooknearrow (⤤) 78rhooknwarrow (⤣) 82rhooknwarrow (=) 78rhookrightarrow () 82rhookrightarrow (8) 78rhooksearrow (⤥) 82rhooksearrow () 78rhookswarrow (⤦) 82rhookswarrow (⤦) 77rhookuparrow (9) 82rhookuparrow (9) 77rhoup (ρ) 98right 103 104 108 109 226

228rightangle (agrave) 123rightangle (∟) 123rightangle (∟) 127rightangle (∟) 123rightanglemdot (acirc) 123rightanglemdot (⦝) 123rightanglemdot (⦝) 123rightanglesqr (atilde) 123rightanglesqr (⦜) 123rightanglesqr (⦜) 123rightanglesquare (⦜) 123RIGHTarrow () 181Rightarrow (rArr) 30 75Rightarrow (rArr) 82Rightarrow (rArr) 77Rightarrow (rArr) 88rightarrow (Ntilde) 76rightarrow (rarr) 75rightarrow (rarr) 82rightarrow (rarr) 77rightarrow (rarr) 92rightarrow (rarr) 88rightarrowapprox (⥵) 88rightarrowbackapprox (⭈) 88rightarrowbar () 86rightarrowbar () 88rightarrowbsimilar (⭌) 88rightarrowcircle () 86rightarrowdiamond (⤞) 88rightarrowgtr (⭃) 72rightarrowonoplus (⟴) 88rightarrowplus (⥅) 88rightarrowshortleftarrow

(⥂) 88rightarrowsimilar (⥴) 88rightarrowsupset (⭄) 67rightarrowtail () 75rightarrowtail () 86rightarrowtail (↣) 82rightarrowtail (↣) 77rightarrowtail (↣) 88rightarrowTriangle (ucirc) 86rightarrowtriangle (_) 76

rightarrowtriangle (thorn) 86rightarrowtriangle (⇾) 88rightarrowx (⥇) 88rightAssert (⊩) 58rightassert (⊦) 58rightbarharpoon (Yacute) 77rightbkarrow () 82rightbkarrow (⤍) 88rightblackarrow () 86rightblackspoon (l) 94RIGHTCIRCLE (H) 146RIGHTcircle (H) 146Rightcircle (J) 146rightcurvedarrow () 82rightcurvedarrow (⤳) 88rightdasharrow () 86rightdasharrow () 88rightdbltail (⤜) 62

RightDiamond () 150rightdotarrow (⤑) 88rightdowncurvedarrow (⤷) 82rightdowncurvedarrow (⤷) 88

rightevaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108

rightfilledspoon (p) 93rightfishtail (⥽) 61rightfootline (shy) 58rightfootline (x) 55rightfree () 55righthalfcap () 34righthalfcup () 34righthand (u) 142rightharpoonaccent () 111rightharpoonccw () 80rightharpooncw () 80rightharpoondown (atilde) 77rightharpoondown () 75rightharpoondown () 87rightharpoondown () 85rightharpoondown () 90rightharpoondownbar (⥗) 90rightharpoonsupdown (⥤) 90rightharpoonup (aacute) 77rightharpoonup () 75rightharpoonup () 87rightharpoonup () 85rightharpoonup () 90rightharpoonupbar (⥓) 90rightharpoonupdash (⥬) 90rightimply (⥰) 61rightlcurvearrow () 82rightleftarrows (Otilde) 76rightleftarrows () 75rightleftarrows () 86rightleftarrows () 82rightleftarrows () 77rightleftarrows () 88rightleftcurvearrow (brvbar) 82

335

rightleftharpoon (aacute) 77rightleftharpoons (eacute) 77rightleftharpoons () 76rightleftharpoons () 75rightleftharpoons () 87rightleftharpoons () 85rightleftharpoons () 80rightleftharpoons () 90rightleftharpoonsdown (⥩) 90rightleftharpoonsfill 117rightleftharpoonsup (⥨) 90rightleftsquigarrow () 82rightlsquigarrow () 82rightlsquigarrow () 77Rightmapsto (⤇) 82rightmapsto (↦) 82rightmapsto (↦) 77rightModels (⊫) 55rightmodels (⊧) 57rightmodels (⊧) 55rightmoon (L) 132rightmoon () 132rightmoon () 131rightouterjoin (⟖) 126rightp (w) 25rightpentagon () 149rightpentagonblack () 149rightpitchfork (t) 95rightpitchfork () 93rightpointleft (L) 142

rightpointright (N) 142rightpropto () 55rightrcurvearrow (⤻) 82rightrightarrows (Ntilde) 76rightrightarrows (rArr) 75rightrightarrows () 86rightrightarrows () 81rightrightarrows () 77rightrightarrows () 88rightrightharpoons (Ugrave) 77rightrsquigarrow () 82rightrsquigarrow (uml) 77RightScissors (S) 141rightslice (3) 32rightslice (Ntilde) 35rightslice (⪧) 55rightspoon (⊸) 94rightspoon (⊸) 93rightsquigarrow (ugrave) 76rightsquigarrow ( ) 75rightsquigarrow () 86rightsquigarrow () 82rightsquigarrow () 78rightsquigarrow () 88 89rightt (o) 25righttail (⤚) 61righttherefore () 120righttherefore () 33 120

rightthreearrows () 86rightthreearrows (⇶) 88rightthreetimes () 124rightthreetimes (i) 31rightthreetimes (Ocirc) 35rightthreetimes (⋌) 34rightthreetimes (⋌) 33rightthreetimes (⋌) 36rightthumbsdown (d) 142rightthumbsup (u) 142righttoleftarrow (yacute) 76righttoleftarrow (aelig) 86Righttorque () 136rightturn () 181rightupcurvedarrow () 82rightVDash (⊫) 57rightVdash (⊩) 57rightVdash (⊩) 55rightvDash (⊨) 57rightvdash (⊢) 57rightvdash (⊢) 55

rightwave (

ETH

ETH

ETH

ETH

) 108

rightwavearrow () 81rightwavearrow () 88rightwhitearrow (atilde) 86rightwhitearrow () 88rightwhiteroundarrow (aring) 86rightY () 34rightY (() 33rinforzando () 168ring ( ) 112ring (a) see accentsring equal to see circeq

ring in equal to see eqcirc

ringplus (⨢) 36riota () 125riota () 20rip (O) 186risingdotseq (laquo) 54risingdotseq () 52risingdotseq (Uuml) 60risingdotseq (≓) 57risingdotseq (≓) 55risingdotseq (≓) 61rJoin (Y) 53rJoin (⋊) 35RK () 134rlap 25 150 233

rmoustache (⎫⎩) 104

rmoustache (

⎫⎪⎪⎪⎪⎩) 107

rmoustache (⎫⎪⎪⎪⎪⎩) 105

rmoustache (⎫

⎪

⎩

) 107

RO () 134rockpaperscissors 142

rollingpin ( ) 196

Roman coins 27

Romania ( ) 194

Romanian comma-belo accent (a ) see accents

rook 187 224ndash226

roots see sqrt

roshambo 142

rotatebox 24 229 230

rotated symbols 17ndash20 24229ndash230

rotating (package) 28 134

rotm (m) 20

rotOmega () 20

rotr (r) 20

rotvara (A) 20

rotw (w) 20

roty (y) 20

RoundedLsteel () 136


RoundedTsteel () 136


RoundedTTsteel () 136

Rparen ()) 129

rParen (

⦆

) 107

rparen ()) 106

rparen ()) 107

rparengtr (⦔) 103

Rparenless (⦖) 103

rppolint (⨒) 49

rppolintsl (⨒) 50

rppolintup (⨒) 50

rqm ( -119868) 232

RR (z) 162

rrangle (⟫) 105

rrangle (⦊) 103

rrbracket () 104

rrbracket (

) 109

rrceil (W) 102

RRelbar () 96

Rrelbar () 96

rrfloor (U) 102

rrhD ( ) 203

rrhDa ( ) 203

rrhDap ( ) 203

rrhDp ( ) 203

rrhDs ( ) 203

rrhDsp ( ) 203

rrhDw ( ) 203

336

rrhDwp ( ) 203

rrhE ( ) 203

rrhEp ( ) 203

rrhF ( ) 203

rrhFp ( ) 203

rrhFw ( ) 203

rrhFwp ( ) 203

rrhL ( ) 203

rrhLa ( ) 203

rrhLap ( ) 203

rrhLp ( ) 203

rrhLs ( ) 203

rrhLsp ( ) 203

rrhLw ( ) 203

rrhLwp ( ) 203

rrhM ( ) 203

rrhMp ( ) 203

rrhR ( ) 203

rrhRa ( ) 203

rrhRap ( ) 203

rrhRp ( ) 203

rrhRs ( ) 203

rrhRsp ( ) 203

rrhRw ( ) 203

rrhRwp ( ) 203

rrhSd ( ) 203

rrhSdp ( ) 203

rrhSl ( ) 203

rrhSlp ( ) 203

rrhSr ( ) 203

rrhSrp ( ) 203

rrhSu ( ) 203

rrhSup ( ) 203

rrhU ( ) 203

rrhUa ( ) 203

rrhUap ( ) 203

rrhUp ( ) 203

rrhUs ( ) 203

rrhUsp ( ) 203

rrhUw ( ) 203

rrhUwp ( ) 203

RRightarrow () 88Rrightarrow (V) 76Rrightarrow (macr) 86Rrightarrow () 81Rrightarrow () 77Rrightarrow () 88rrparenthesis (M) 102rrparenthesis (⦈) 103RS () 135rsem (⟧) 107

rsem (MQQQQO) 105

rsemantic see rdbrack

rsfs (emf package option) 131rsfso (package) 128 247Rsh (eacute) 76Rsh () 75Rsh () 86Rsh () 81Rsh () 77Rsh () 88rsolbar (⧷) 36rsqhook (⫎) 61rsub (⩥) 40

rtborder () 188

rtbotcorner () 188rtimes (cedil) 33rtimes (o) 31rtimes (Otilde) 35rtimes (⋊) 34 35rtimes (⋊) 33rtimes (⋊) 36rtimesblack (ecirc) 35rtriltri (⧎) 74rtriple 109

rttopcorner () 188RU () 134Rubikrsquos Cube 203rubikcube (package) 203 247

248ruledelayed (⧴) 61runes 162

Anglo-Frisian 162Danish see normal runesGermanic 162Halsinge see staveless runeslong-branch see normalrunes

medieval 162normal 162short-twig 162staveless 162Swedo-Norwegian seeshort-twig runes

rupee (|) 27

RV (|) 134rVert (||) 109

rVert () 104

rVert (

∥∥∥∥∥∥) 106rvert (|) 104

rvert (

∣∣∣∣∣∣) 106

rVvert (

AringAringAringAringAringAring) 106Rvzigzag (⧛) 103rvzigzag (⧙) 103rWalley ( ) 196

rwave (

ETH

ETH

ETH

ETH

) 108

rWavy (______) 105

rwavy (^^) 105

SS (S) 162S (sect) 15 243S (S) 15s (Atilde) 162s (s) 162

sA (ndash) 193SAa (a) 159SAb (b) 159SAd (d) 159SAdb (D) 159SAdd (B) 159Sadey ( ) 196sadface () 196SAf (f) 159safety-related symbols 136Saftpresse ( ) 196SAg (g) 159SAga (G) 159Sagittarius (V) 133Sagittarius (egrave) 132sagittarius (c) 131SAh (h) 159SAhd (H) 159SAhu (I) 159SAk (k) 159SAl (l) 159SAlq (lsquo) 159SAm (m) 159samebishops (s) 186Sampi (^) 159Sampi (Ϡ) 159sampi (+) 159sampi (ϡ) 159SAn (n) 159sans (dsfont package option) 128sansLmirrored (⅃) 126sansLturned (⅂) 126SAo (o) 159

337

Sappho (˝) 133SAq (q) 159SAr (r) 159sarabfamily 159sarabian (package) 159 247 248SAs (s) 159SAsa (X) 159SAsd (x) 159SAsv (S) 159SAt (t) 159SAtb (J) 159SAtd (T) 159

satellitedish (I) 152satisfies see models

Saturn (F) 132Saturn (S) 133Saturn (AElig) 132saturn (Y) 131savesym (package) 226savesymbol 226SAw (w) 159SAy (y) 159SAz (z) 159SAzd (Z) 159Sborder (S) 152scalebox 226scaled (CountriesOfEurope pack-

age option) 195scaling 236 239

mechanical 236 239optical 236

scd () 19scg () 19Schaler ( ) 196Schneebesen ( ) 196Schussel ( ) 196schwa (e) 20schwa () 19Schwartz distribution spaces see

alphabets mathsci () 19scientific symbols 130ndash138 222

ScissorHollowLeft () 141

ScissorHollowRight () 141

ScissorLeft () 141

ScissorLeftBrokenBottom () 141

ScissorLeftBrokenTop () 141

ScissorRight () 141ScissorRightBrokenBottom

() 141

ScissorRightBrokenTop () 141

scissors 141 199ndash202scn () 19scoh (˝) 64

Scorpio (C) 133Scorpio (ccedil) 132scorpio (b) 131scpolint (⨓) 49scpolintsl (⨓) 50scpolintup (⨓) 50scr (rsfso package option) 128scr (J) 19script letters see alphabets

mathscripta () 19scriptg () 19scriptscriptstyle 232scriptstyle 232scriptv (Y) 19Scroll ( Scroll ) 134

scu (W) 19scurel () 60scurel (⊱) 61scy (]) 19

sddtstile ( ) 63

sDep (h) 164

sdststile ( ) 63

sdtstile ( ) 63

sdttstile ( ) 63

seagull see textseagull

Searrow (u) 76Searrow () 86Searrow () 81Searrow () 77Searrow () 88searrow (Œ) 76searrow () 75 233searrow () 81searrow () 77searrow () 92searrow () 88searrowtail () 81searrowtail () 77sebkarrow (g) 81sec (sec) 96

Sech ( ˇ ldquo) ) 165

SechBL ( ˇ ldquo====

) 165

SechBl ( ˇ ldquo===

) 165

SechBR ( ˇ ldquo====) 165

SechBr ( ˇ ldquo===) 165

second (2) 124seconds angular see second

secstress (i) 25section mark see S

SectioningDiamond () 183sector () 125sedenions (S) see alphabets

mathsefilledspoon (w) 93

sefootline () 55sefree () 55segmented numerals 130

Segno ( n) 164

segno (V) 164seharpoonccw (G) 80seharpooncw (O) 80seharpoonne (G) 85seharpoonsw (O) 85seight (ocirc) 162selcurvearrow (⤵) 82selectfont 12selsquigarrow (sect) 77semaffd (file) 221semantic valuation 104 109semaphor (package) 220 221

247semaphore symbols 220ndash221semapsto () 77semibreve see musical symbolssemibreve ( ) 166semibreveDotted ( ) 166semidirect products 31 33 124semiquaver see musical symbols

semiquaver (copy ) 166

semiquaverDotted (copy ) 166

semiquaverDottedDouble (copy )

166semiquaverDottedDoubleDown

( ) 166

semiquaverDottedDown ( ) 166

semiquaverDown ( ) 166

semiquaverRest ( ) 168

semiquaverRestDotted ( ) 168Semisextile (w) 133Semisquare (e) 133semitic transliteration 20 24seModels (divide) 55semodels (ccedil) 55semtrans (package) 20 24 247senwarrows () 81senwarrows () 77senwcurvearrow (laquo) 82senwharpoons ([) 85senwharpoons ([) 80seovnearrow (⤭) 88

SePa ( ) 165separated () 55separation vector (r) 128sepitchfork () 93seppawns (q) 186Serbia (iexcl) 195sercurvearrow (⤷) 82SerialInterface (Icirc) 134

338

SerialPort (ETH) 134sersquigarrow (macr) 77sesearrows () 81sesearrows () 77sespoon (o) 93Sesquiquadrate (i) 133set interior see mathring

set operatorsintersection see cap

membership see in

union see cup

setminus (∖) 31setminus () 34setminus (∖) 34setminus (⧵) 36seVdash (iuml) 55sevdash (szlig) 55Sextile (r) 133Sey ( ) 196sfive (oacute) 162sfour (atilde) 162SGML 244sha (X) 229Shake (X) 164shake (W) 164Shakel (j) 164Shakene (m) 164Shakenw (k) 164Shakesw (l) 164sharp (♯) 163sharp (ucirc) 163sharp (♯) 163

sharp ( ) 167sharp (♯) 163sharp (♯) 163

sharpArrowboth ( ) 167

sharpArrowdown ( ) 167

sharpArrowup ( ) 167Sharpe Michael 24

sharpSlashslashslashStem ( ) 167

sharpSlashslashslashStemstem

( ) 167

sharpSlashslashStem ( ) 167sharpSlashslashStemstemstem

( ) 167shfermion () 137Shift ( Shift uArr ) 134

shift (˜) 30Shilling (iexcl) 26shneg (ˆ) 30short-twig runes 162shortcastling (O-O) 186shortdownarrow () 76shortdowntack (⫟) 58

shortdowntack (⫟) 61ShortFifty (times) 182ShortForty (Ugrave) 182shortleftarrow () 76shortlefttack (⫞) 58shortlefttack (⫞) 61shortmid (p) 52shortmid (frac34) 60shortmid (∣) 57shortmid (∣) 34shortmid (∣) 61ShortNinetyFive (Ocirc) 182shortparallel (q) 52shortparallel (iquest) 60shortparallel (∥) 57shortparallel (∥) 55shortparallel (∥) 61ShortPulseHigh () 130ShortPulseLow () 130shortrightarrow () 76shortrightarrowleftarrow

(⥄) 88shortrighttack (⊦) 58ShortSixty (Ouml) 182ShortThirty (Ucirc) 182shortuparrow () 76shortuptack (⫠) 58shortuptack (⫠) 61showclock 183shpos (acute) 30shuffle (package) 37 247 248shuffle (⧢) 36shuffle () 37shuffle product () 37SI () 135Sieb ( ) 196sieve ( ) 196Sigma (Σ) 97sigma (120590) 97sigmaup (σ) 98sim (sim) 52 231 242sim (sim) 57sim (sim) 55sim (sim) 61simbot (lsaquo) 102simcolon (sim) 64simcoloncolon (sim) 64simeq (≃) 52simeq (≃) 57simeq (≃) 55simeq (≃) 61simgE (⪠) 72simgtr (⪞) 72similarleftarrow (⭉) 88similarrightarrow (⥲) 88simlE (⪟) 72simless (⪝) 72simminussim (⩬) 61simneqq (≆) 59

simneqq (≆) 61

simperp (lsaquo) 64

simplewick (package) 236

simplus (⨤) 36

simpsons (package) 189 247

Simpsons characters 189

simrdots () 60

simrdots (⩫) 61

sin (sin) 96

sincoh (ˇ) 64

sinewave (ntilde) 125

sinewave (∿) 126

sinh (sinh) 96

SixFlowerAlternate (O) 145

SixFlowerAltPetal (U) 145

SixFlowerOpenCenter (M) 145

SixFlowerPetalDotted (Q) 145

SixFlowerPetalRemoved (L) 145

SixFlowerRemovedOpenPetal

([) 145

SixStar (G) 145

SixteenStarLight (K) 145

sixteenth note see musicalsymbols

sixteenthNote (copy ) 166

sixteenthnote () 163

sixteenthNoteDotted (copy ) 166

sixteenthNoteDottedDouble

(copy ) 166

sixteenthNoteDottedDoubleDown

( ) 166

sixteenthNoteDottedDown ( )

166

sixteenthNoteDown ( ) 166

skak (package) 186 187 247

skull (package) 186 247

skull () 196

skull (A) 186

skulls 186 196 224

slash () 242

slashb () 19

slashc () 19

slashd () 19

slashdiv () 33

slashed (package) 231 232

slashed 231 232

slashed letters 231

slashedsty (file) 232

slashu (U) 19

Sleet () 183

sliding (a) 23

Slovakia (cent) 195

Slovenia (pound) 195

339

smallaltoclef (L) 164smallawint (⨑) 41smallawintsl (⨑) 41smallawintup (⨑) 41

smallbassclef (J) 164smallblackcircle (bull) 38smallblackdiamond () 38smallblacklozenge () 147smallblacksquare () 38smallblackstar (⋆) 38smallblacktriangledown ()

38 74smallblacktriangleleft ()


149smallblacktriangleright ()

38 74smallblacktriangleright ()

149smallblacktriangleup () 38

74smallbosonloop (clubs) 137smallbosonloopA (cap) 137smallbosonloopV (≪) 137

SmallCircle (E) 149smallcircle () 38smallcirfnint (⨐) 41smallcirfnintsl (⨐) 41smallcirfnintup (⨐) 41

SmallCross () 149smallctrbull (bullcntr package op-

tion) 185smallctrbull 185smalldiamond (⋄) 38smalldiamond () 38

SmallDiamondshape (F) 149smalldivslash (∕) 35smallfint (⨏) 41smallfintsl (⨏) 41smallfintup (⨏) 41smallfrown (a) 52smallfrown (frac12) 60smallfrown () 58 95smallfrown () 94smallfrown () 61

SmallHBar () 149smalliiiint (⨌) 41smalliiiintsl (⨌) 41smalliiiintup (⨌) 41smalliiint (∭) 41smalliiintsl (∭) 41smalliiintup (∭) 41smalliint (∬) 41smalliintsl (∬) 41

smalliintup (∬) 41smallin () 101smallin (∊) 61smallint (int) 125smallint (int) 125smallint (int) 41smallintBar (⨎) 41smallintbar (⨍) 41smallintBarsl (⨎) 41smallintbarsl (⨍) 41smallintBarup (⨎) 41smallintbarup (⨍) 41smallintcap (⨙) 41smallintcapsl (⨙) 41smallintcapup (⨙) 41smallintclockwise (∱) 41smallintclockwisesl (∱) 41smallintclockwiseup (∱) 41smallintcup (⨚) 41smallintcupsl (⨚) 41smallintcupup (⨚) 41smallintlarhk (⨗) 41smallintlarhksl (⨗) 41smallintlarhkup (⨗) 41smallintsl (int) 41smallintup (int) 41smallintx (⨘) 41smallintxsl (⨘) 41smallintxup (⨘) 41

SmallLowerDiamond () 149smalllowint (⨜) 41smalllowintsl (⨜) 41smalllowintup (⨜) 41smalllozenge () 147smalllozenge (loz) 147smallni (∍) 61smallnpolint (⨔) 41smallnpolintsl (⨔) 41smallnpolintup (⨔) 41smalloiiint (∰) 41smalloiiintsl (∰) 41smalloiiintup (∰) 41smalloiint (∯) 41smalloiintsl (∯) 41smalloiintup (∯) 41smalloint (∮) 41smallointctrclockwise (∳) 41smallointctrclockwisesl (∳)

41smallointctrclockwiseup (∳)

41smallointsl (∮) 41smallointup (∮) 41smallowns () 101smallpencil (P) 141smallpointint (⨕) 41smallpointintsl (⨕) 41smallpointintup (⨕) 41smallprod (prod) 33

SmallRightDiamond (O) 149smallrppolint (⨒) 41smallrppolintsl (⨒) 41smallrppolintup (⨒) 41smallscpolint (⨓) 41smallscpolintsl (⨓) 41smallscpolintup (⨓) 41smallsetminus (r) 31smallsetminus (Uacute) 35smallsetminus (∖) 35smallsetminus (∖) 34smallsetminus (∖) 36smallsmile (`) 52smallsmile (frac14) 60smallsmile () 58 95smallsmile () 94smallsmile () 61smallsqint (⨖) 41smallsqintsl (⨖) 41smallsqintup (⨖) 41

SmallSquare () 149smallsquare () 38smallsquare (◽) 38smallstar () 38smallsumint (⨋) 41smallsumintsl (⨋) 41smallsumintup (⨋) 41

smalltrebleclef (H) 164

SmallTriangleDown (C) 149smalltriangledown (Ź) 37smalltriangledown () 38 74smalltriangledown () 38 73

SmallTriangleLeft (B) 149smalltriangleleft (Ž) 37smalltriangleleft () 39 74smalltriangleleft () 38 73smalltriangleleft () 148

SmallTriangleRight (D) 149smalltriangleright (Ż) 37smalltriangleright () 39 74smalltriangleright () 38 73smalltriangleright () 148

SmallTriangleUp (A) 149smalltriangleup (Ÿ) 37smalltriangleup () 39 74smalltriangleup () 38 73smallupint (⨛) 41smallupintsl (⨛) 41smallupintup (⨛) 41smallvarointclockwise (∲) 41smallvarointclockwisesl (∲)

41smallvarointclockwiseup (∲)

41

SmallVBar () 149smallwhitestar () 39

340

smartctrbull (bullcntr package op-tion) 185

smartctrbull 185smashtimes (ouml) 35smashtimes (⨳) 36smblkcircle (bull) 39smblkcircle (bull) 40smblkdiamond () 39smblkdiamond () 148smblklozenge () 147smblklozenge () 148smblksquare () 39smblksquare () 148smeparsl (⧤) 61smile () 52smile (uuml) 60smile () 57 95smile () 94smile () 61smile symbols 94 95smileeq () 57 95smileeq ( ) 94smileeqfrown (amp) 94smileface () 196smilefrown (≍) 57 95smilefrown (≍) 94smilefrowneq (() 94Smiley (copy) 182 196smiley () 181smiley faces 126 135 181 182

191 196ndash202 206ndash209smt (⪪) 72smte (⪬) 72smwhitestar () 39smwhitestar () 148smwhtcircle () 39smwhtcircle () 148 149smwhtdiamond (⋄) 39smwhtdiamond (⋄) 148 149smwhtlozenge () 147smwhtlozenge () 148smwhtsquare () 39smwhtsquare () 148snakes 210ndash211

sndtstile ( ) 63

Snow () 183

SnowCloud () 183

Snowflake (`) 145

SnowflakeChevron (^) 145

SnowflakeChevronBold (_) 145

snowflakes 145Snowman ( ) 197

SNPP () 189

snststile ( ) 63

sntstile ( ) 63

snttstile ( ) 63SO () 134 135

sO (˝) 193SOH () 135SOH () 135solid (119905) 137South Arabian alphabet 159SouthNode () 133

Soyombo () 193soyombo (package) 193 247 248Soyombo (font) 193Soyombo symbols 193space 240

thin 240visible seetextvisiblespace

Spacebar ( ) 134

spades 151 152 197ndash198spadesuit (spades) 151spadesuit (divide) 151spadesuit (spades) 151spadesuit (spades) 151spadesuit (spades) 151Spain (curren) 195

Sparkle (]) 145

SparkleBold () 145sparkles 145ldquospecialrdquo characters 14SpecialForty (Uacute) 182sPed () 164sphericalangle () 124sphericalangle (^) 123sphericalangle (times) 123sphericalangle (∢) 123sphericalangle (∢) 123sphericalangle (∢) 123sphericalangledown (sect) 123sphericalangleleft (⦠) 123sphericalangleup (⦡) 123sphericalangleup (⦡) 123spin (120592) 138

SpinDown () 149spindown (119885) 138

SpinUp ()) 149spinup (119900) 138spirals 210ndash211spirituslenis (andash) 111spirituslenis (mdash) 111splitvert (brvbar) 135Spoon () 196spoon symbols 93 94spreadlips (a) 23Springtree ( ) 197sqbullet (sbquo) 33Sqcap (⩎) 35

Sqcap (⩎) 36sqcap ([) 33sqcap (⊓) 31sqcap (⊓) 34sqcap (⊓) 33sqcap (⊓) 36sqcapdot (I) 34sqcapdot (E) 33sqcapplus () 32sqcapplus (K) 34sqcapplus (G) 33Sqcup (⩏) 35Sqcup (⩏) 36sqcup () 33sqcup (⊔) 30 31sqcup (⊔) 34sqcup (⊔) 33sqcup (⊔) 36sqcupdot (H) 34sqcupdot (D) 33sqcupplus (|) 32sqcupplus (J) 34sqcupplus (F) 33sqdoublecap (^) 33sqdoublecup (_) 33sqdoublefrown (-) 94sqdoublefrowneq (7) 94sqdoublesmile () 94sqdoublesmileeq (6) 94sqeqfrown (5) 94sqeqsmile (4) 94sqfrown (+) 94sqfrowneq (3) 94sqfrowneqsmile (9) 94sqfrownsmile (1) 94

sqiiint (R

) 44

sqiint (P

) 44

sqiint (rdquo

) 45

sqint (

) 44

sqint (rsaquo) 45

sqint (⨖) 49sqintsl (⨖) 51sqintup (⨖) 51sqlozenge () 148

sqrt (radic) 114

sqrt (radic

) 112 233sqrt (

radic) 116

sqsmile () 94sqsmileeq (2) 94sqsmileeqfrown (8) 94sqsmilefrown (0) 94Sqsubset (J) 66Sqsubset (^) 66sqSubset (Ť) 65sqSubset (acute) 66sqsubset (Ă) 65sqsubset () 64 65sqsubset (agrave) 66

341

sqsubset (⊏) 66sqsubset (⊏) 66sqsubset (⊏) 67sqsubseteq (Ď) 65sqsubseteq (⊑) 64sqsubseteq (⊑) 66sqsubseteq (⊑) 66sqsubseteq (⊑) 67sqsubseteqq (Ň) 65sqsubseteqq (H) 66sqsubseteqq () 66sqsubsetneq (Ĺ) 65sqsubsetneq (⋤) 66sqsubsetneq (⋤) 66sqsubsetneq (⋤) 67sqsubsetneqq (Ř) 65sqsubsetneqq (THORN) 66sqsubsetneqq (ouml) 66Sqsupset (K) 66Sqsupset (_) 66sqSupset (Ţ) 65sqSupset (micro) 66sqsupset (Ą) 65sqsupset (A) 64 65sqsupset (aacute) 66sqsupset (⊐) 66sqsupset (⊐) 66sqsupset (⊐) 67sqsupseteq (Ě) 65sqsupseteq (⊒) 64sqsupseteq (⊒) 66sqsupseteq (⊒) 66sqsupseteq (⊒) 67sqsupseteqq (Ŋ) 65sqsupseteqq (I) 66sqsupseteqq (]) 66sqsupsetneq (Ľ) 65sqsupsetneq (⋥) 66sqsupsetneq (⋥) 66sqsupsetneq (⋥) 67sqsupsetneqq (Ś) 65sqsupsetneqq (szlig) 66sqsupsetneqq (divide) 66sqtriplefrown () 94sqtriplesmile () 94Square (t) 133Square () 143

Square (f) 150

Square (0) 149

Square (0) 150

Square ( vs f vs 0) 227square (˝) 33square () 124square (oacute) 147square () 39

square (~) 188square (◻) 38square () 149

square impulse 130square root see sqrt

hooked see hksqrt

squarebotblack () 148SquareCastShadowBottomRight

(k) 150

SquareCastShadowTopLeft (m) 150

SquareCastShadowTopRight

(l) 150squarecrossfill () 148squaredots (∷) 120squaredots (∷) 33 120squarehfill () 148squarehvfill () 148squareleftblack () 148squarellblack () 148squarellquad () 148squarelrblack () 148squarelrquad () 148squareneswfill () 148squarenwsefill () 148Squarepipe () 136squarerightblack () 148squares 147ndash152 173ndash178 187

188 204ndash206 210ndash211 222SquareShadowA () 149

SquareShadowB () 149

SquareShadowBottomRight (h) 150

SquareShadowC () 149

SquareShadowTopLeft (j) 150

SquareShadowTopRight (i) 150

SquareSolid (g) 150Squaresteel () 136squaretopblack () 148squareulblack () 148squareulquad () 148squareurblack () 148squareurquad () 148squarevfill () 148

squarewithdots (B) 152squeezer ( ) 196squigarrowdownup (sup3) 77squigarrowleftright () 77squigarrownesw (acute) 77squigarrownwse (micro) 77squigarrowrightleft (sup2) 77squigarrowsenw (middot) 77squigarrowswne (para) 77squigarrowupdown (plusmn) 77squoval () 148squplus (]) 33squplus (iquest) 35SS (SS) 15 134ss (szlig) 15

ssdtstile ( ) 63ssearrow () 76ssearrow (iacute) 86sseven (auml) 162ssix (Ocirc) 162sslash () 32sslash (lt) 35sslash (⫽) 36

ssststile ( ) 63

sststile ( ) 63

ssttstile ( ) 63sswarrow ($) 76sswarrow (iuml) 86staccatissimo ( ) 168stackrel 30 230 234 235standard state 231star (⋆) 31 234star ($) 162star (oslash) 39 147star (⋆) 39star (⋆) 38star (⋆) 40Star of David 144 145stareq (≛) 57stareq (≛) 61starfont (package) 133 247 248starofdavid () 147starredbullet (d) 146stars 124 133 144ndash149 204ndash206stater (῝) 27Station (6) 133statistical independence 232

staveI () 190

staveII () 190

staveIII () 190

staveIV () 190

staveIX () 190

staveL (1) 190

staveL (1) 191staveless runes 162

staveLI (2) 190

staveLII (3) 190

staveLIII (4) 190

staveLIV (5) 190

staveLIX () 191

staveLV (6) 190

staveLVI (7) 191

staveLVII (8) 191

staveLVIII (9) 191

342

staveLX () 191

staveLXI (lt) 191

staveLXII (=) 191

staveLXIII (gt) 191

staveLXIV () 191

staveLXV () 191

staveLXVI (A) 191

staveLXVII (B) 191

staveLXVIII (C) 191staves 190staves (package) 190 247

staveV () 190

staveVI () 190

staveVII () 190

staveVIII () 190

staveX () 191

staveXI () 191

staveXII () 191

staveXIII () 191

staveXIV (13) 191staveXIX () 191

staveXL () 191

staveXLI (() 191

staveXLII ()) 191

staveXLIII () 191staveXLIV (+) 191

staveXLIX (0) 190

staveXLV () 191

staveXLVI (-) 191

staveXLVII () 190

staveXLVIII () 190

staveXV () 191

staveXVI () 191

staveXVII () 191

staveXVIII () 191

staveXX () 191staveXXI () 191

staveXXII () 191

staveXXIII () 191

staveXXIV () 190

staveXXIX () 190

staveXXV () 190

staveXXVI () 190

staveXXVII () 190

staveXXVIII () 190

staveXXX () 190

staveXXXI () 190

staveXXXII () 190

staveXXXIII ( ) 191

staveXXXIV () 191

staveXXXIX (amp) 191

staveXXXV () 191

staveXXXVI () 191

staveXXXVII ($) 191

staveXXXVIII () 191

stdtstile ( ) 63

steaming () 196

steinmetz (package) 131 247248

Steinmetz phasor notation 131

sterling see pounds

sthree (Oacute) 162

stick figures 153 197 217ndash221

Stigma () 159

Stigma (Ϛ) 159

stigma (-) 159

stigma (ϛ) 159

stix (package) 36 40 41 4850 61 62 67 71 72 7487 89ndash91 96 99ndash101 103107 111 114 120 122 123126 132 134 136 148 149151 163 184 247 248

stmaryrd (package) 32 42 5365 72 76 92 95 102 104227 231 246 247

stochastic independence seebot

StoneMan () 183

Stopsign () 136

StopWatchEnd () 183

StopWatchStart () 183

stress (h) 25

Strichmaxerl ( ) 197

strictfi (K) 53strictfi (igrave) 60strictif (J) 53strictif (iacute) 60strictiff (L) 53StrikingThrough (_) 25strns () 126

strokedint (⨏) 47

StrokeFive () 183

StrokeFour () 183

StrokeOne () 183

StrokeThree () 183

strokethrough () 111

StrokeTwo () 183stst (minus∘ ) 231

stststile ( ) 63

sttstile ( ) 63

stttstile ( ) 63

STX () 135sty files 12SUB () 135subatomic particles 137ndash138subcorner (a

^) 23

subdoublebar (amacr) 23

subdoublevert (a) 23

subedot (⫃) 67sublptr (a

iexcl) 23

submult (⫁) 67subrarr (⥹) 67subrptr (a

iquest) 23

subscriptsnew symbols used in 232

Subset (Ť) 65Subset (b) 65Subset (Egrave) 66Subset (⋐) 66Subset (⋐) 66Subset (⋐) 67subset (Ă) 65subset (sub) 64subset (sub) 66subset (sub) 66subset (sub) 67subsetapprox (⫉) 67subsetcirc (⟃) 67subsetdot (⪽) 67subseteq (Ď) 65subseteq (sube) 64subseteq (sube) 66subseteq (sube) 66subseteq (sube) 67subseteqq (Ň) 65subseteqq (j) 65subseteqq (Igrave) 66subseteqq (⫅) 66

343

subseteqq (⫅) 66subseteqq (⫅) 67subsetneq (Ĺ) 65subsetneq (() 65subsetneq (uml) 66subsetneq (⊊) 66subsetneq (⊊) 66subsetneq (⊊) 67subsetneqq (Ř) 65

subsetneqq ($) 65subsetneqq (curren) 66subsetneqq (⫋) 66subsetneqq (⫋) 66subsetneqq (⫋) 67subsetplus (D) 65subsetplus (ordm) 66subsetplus (⪿) 67subsetpluseq (F) 65subsetpluseq (frac14) 66subsets 64ndash67subsim (⫇) 67subsub (⫕) 67subsup (⫓) 67Succ (⪼) 61succ (≻) 52succ (≻) 57succ (≻) 55succ (≻) 61succapprox (Ccedil) 54succapprox (v) 52succapprox (sup1) 60succapprox (⪸) 58succapprox (⪸) 55succapprox (⪸) 61succcurlyeq (ě) 54succcurlyeq (lt) 52succcurlyeq (Iuml) 60succcurlyeq (≽) 58succcurlyeq (≽) 55succcurlyeq (≽) 61succdot (Iacute) 54succeq (⪰) 52succeq (⪰) 58succeq (⪰) 55succeq (⪰) 61succeqq () 53succeqq (⪴) 58succeqq (⪴) 61succnapprox (Euml) 54succnapprox () 53succnapprox () 60succnapprox (⪺) 59succnapprox (⪺) 57succnapprox (⪺) 61succneq (ŋ) 54succneq (⪲) 59succneq (⪲) 61succneqq () 53succneqq () 60

succneqq (⪶) 59succneqq (⪶) 61succnsim (Aring) 54succnsim () 53succnsim () 60succnsim (⋩) 59succnsim (⋩) 57succnsim (⋩) 61succsim (Aacute) 54succsim () 52succsim (raquo) 60succsim (≿) 58succsim (≿) 55succsim (≿) 61such that 230 231suchthat (niminusminus) 231sum (

sum) 42

sum (sum) 47sum (sum) 47

sum (sum

) 49

sumint (⨋) 47

sumint (⨋) 47sumint (⨋) 49sumintsl (⨋) 50sumintup (⨋) 50Summertree ( ) 197

Summit () 183

SummitSign () 183Sun () 132Sun (s) 133Sun (Agrave) 132

Sun () 183

Sun (Agrave vs vs ) 227sun 131ndash133 152 181 183

197ndash198 224 227sun () 132sun () 181

SunCloud () 183

SunshineOpenCircled (T) 152sup (sup) 96supdsub (⫘) 67supedot (⫄) 67superscripts

new symbols used in 232supersets 64ndash67suphsol (⟉) 67suphsub (⫗) 67suplarr (⥻) 67supmult (⫂) 67supremum see sup

Supset (Ţ) 65Supset (c) 65Supset (Eacute) 66Supset (⋑) 66Supset (⋑) 66Supset (⋑) 67supset (Ą) 65

supset (sup) 64supset (sup) 66supset (sup) 66supset (sup) 67supsetapprox (⫊) 67supsetcirc (⟄) 67supsetdot (⪾) 67supseteq (Ě) 65supseteq (supe) 64supseteq (supe) 66supseteq (supe) 66supseteq (supe) 67supseteqq (Ŋ) 65supseteqq (k) 65supseteqq (Iacute) 66supseteqq (⫆) 66supseteqq (⫆) 66supseteqq (⫆) 67supsetneq (Ľ) 65supsetneq ()) 65supsetneq (copy) 66supsetneq (⊋) 66supsetneq (⊋) 66supsetneq (⊋) 67supsetneqq (Ś) 65

supsetneqq () 65supsetneqq (yen) 66supsetneqq (⫌) 66supsetneqq (⫌) 66supsetneqq (⫌) 67supsetplus (E) 65supsetplus (raquo) 66supsetplus (⫀) 67supsetpluseq (G) 65supsetpluseq (frac12) 66supsim (⫈) 67supsub (⫔) 67supsup (⫖) 67surd (

lsquo

) 124surface (119911) 138SurveySign () 183svrexample (Igrave) 138svrphoton (119887) 138svrsymbols (package) 137 247

248Swarrow (w) 76Swarrow () 86Swarrow () 81Swarrow () 77Swarrow () 88swarrow (Ouml) 76swarrow () 75 233swarrow () 81swarrow () 77swarrow () 92swarrow () 88swarrowtail (amp) 81swarrowtail (amp) 77swbkarrow (f) 81

344

Sweden (yen) 195Swedo-Norwegian runes see

short-twig runesswfilledspoon (v) 93swfootline (~) 55swfree () 55swharpoonccw (F) 80swharpooncw (N) 80swharpoonnw (N) 85swharpoonse (F) 85Switzerland (brvbar) 195swlcurvearrow (⤶) 82swlsquigarrow (brvbar) 77swmapsto () 77swModels (ouml) 55swmodels (aelig) 55swnearrows () 81swnearrows () 78swnecurvearrow (ordf) 82swneharpoons (^) 85swneharpoons (^) 80swords 182swords () 196swpitchfork () 93swrcurvearrow (cent) 83swrsquigarrow (reg) 78swspoon (n) 93swswarrows (~) 81swswarrows () 78swung dash see sim

swVdash (icirc) 55swvdash (THORN) 55syl (a) 23syllabic (j) 25

symA (Aacute) 128

symAE (Ucirc) 129

symB (Acirc) 128symbishop (B) 187Symbol (font) 98 229symbols 14ndash153

163ndash204 206 223 224 226228 235 240ndash241 243

actuarial 116 235alpine 183ancient language 153ndash162annuity 116 235APL 61ndash62 133 134astrological 131ndash133206ndash209

astronomical 131ndash133 191206ndash209

Begriffsschrift 121biological 136block-element 190body-text 14ndash29bold 240ndash241box-drawing 190chess 186 187 224ndash226

cipher 191clock 181ndash184 197ndash198communication 136computer 199ndash202computer hardware 134contradiction 30 95cooking 196 199ndash202countries 194crystallography 222currency 26 27 126 129dangerous bend 181database 126definition 30 235dictionary 17ndash20 189dingbat 139ndash152dot 14 119ndash121 234electrical 130engineering 126 130 136Epi-Olmec 160ndash161extensible 91 112ndash118 131228 234ndash236

Feynman diagram 137file 199ndash202Frege logic 91 102 121122 126

frown 94 95game-related 151 183 184186ndash188 199ndash202 223ndash226

gates digital logic 135genealogical 181general 181Go stones 187 188Halloween 40 118information 182informator 186inverted 17ndash20 24 229ndash230Isthmian 160ndash161keyboard 134knitting 193Knuthrsquos 181laundry 182legal 14 15 27 28 243letter-like 100ndash102 199ndash202life insurance 116 235linear logic 30ndash32 37 3842 46ndash48 52 64 100 101

linguistic 17ndash20log-like 96 240logic 135Magic The Gathering 224magical signs 190map 204ndash206maps 194mathematical 30ndash129media control 182 199ndash202METAFONTbook 181metrical 188 189miscellaneous 124 125127 152 181ndash198 203

monetary 26 27 129musical 28 163ndash180197ndash202

non-commutative division 119

particle physics 137ndash138Phaistos disk 153phonetic 17ndash20physical 130Pitmanrsquos base 12 122 185present value 116 235proto-Semitic 153pulse diagram 130recycling 192 196ndash202 204relational 52relational database 126reversed 229ndash230rotated 17ndash20 24 229ndash230runes 162safety-related 136scientific 130ndash138 222semaphore 220ndash221Simpsons characters 189smile 94 95Soyombo 193spoon 93 94staves 190subset and superset 64ndash67technological 130ndash138TEXbook 181transliteration 20upside-down 17ndash20 24229ndash230 242

variable-sized 42ndash52 226228

weather 183 197ndash198Web 199ndash202yin-yang 182 196ndash198210ndash211

zodiacal 131ndash133 206ndash209symbolstex (file) 226 246 247

symC (Atilde) 128symking (K) 187symknight (N) 187

symOE (Uuml) 129sympawn (p) 187symqueen (Q) 187symrook (R) 187

symUE (Yacute) 129SYN () 135

TT (T) 162T 16T ( a) 24T (otimes

) 188t ( a) 21t (otimes

) 188

345

t (t) 162t4phonet (package) 20 24 247Tab ( minusminusrarrminusminusrarr ) 134

tabcolsep 230tachyon (Iuml) 138tacks 52 100taild () 19tailinvr (H) 19taill (0) 19tailn (9) 19tailr (F) 19tails (L) 19tailt (P) 19tailz (_) 19Takt 165talloblong (8) 32talloblong () 39talloblong (⫾) 40tally (1 2 3 4 5 6) 185tally markers 157 183 185tan (tan) 96tanh (tanh) 96

Tape () 152

Taschenuhr () 183Tate-Shafarevich group see shaTau (T) 97tau (120591) 97tauleptonminus (times) 138tauleptonplus (Ouml) 138Taurus (Q) 132Taurus (c) 133Taurus (aacute) 132taurus (]) 131tautology see top

tauup (τ) 98tccentigrade () 121tcmu (micro) 121tcohm (Ω) 121tcpertenthousand () 121tcperthousand (permil) 121td (a) 23

tddtstile ( ) 63

tdststile ( ) 63

tdtstile ( ) 63

tdttstile ( ) 63

technological symbols 130ndash138Telefon (T) 136

Telephone (() 183

Telephone () 192Tennent Bob 30tensor product see otimes

Tent () 183tenuto ( ) 168Terminus (otimes) 188terminus (otimes) 188Terminus (oplus) 188

terminus (oplus) 188Terra (L) 133tesh (Q) 19testfontdvi (file) 238testfonttex (file) 238 239tetartemorion (Β) 27teubner (package) 27 121 159

189 247 248TEX 12 73 74 91 120 131

190 226 229ndash236 238ndash240242 244 245 249

tex files 244 245TEXbook The 230ndash235 239

symbols from 181text 30 232 233textacutedbl (˝) 25textacutemacron (acutea) 21textacutewedge (acutea) 21textadvancing (affi) 21textAlpha (Α) 16textalpha (α) 16textaolig () 18textara 162textarc 162textarl 162textarm 162textarn 162textart 162textasciiacute (acute) 25 243textasciibreve (˘) 25textasciicaron (ˇ) 25textasciicircum 14textasciicircum (^) 14 242

244textasciidieresis (uml) 25 243textasciigrave (`) 25textasciimacron 242textasciimacron (macr) 25 243textasciitilde 14textasciitilde (˜) 14 242

244textasteriskcentered () 14textasteriskcentered (lowast) 14textbabygamma (Egrave) 17textbackslash 14textbackslash (∖) 241 242textbaht (฿) 26textbar 14textbar (|) 241 242textbarb (b) 17textbarc (c) 17textbard (d) 17textbardbl () 14textbardbl () 14textbardotlessj (eacute) 17textbarg (g) 17textbarglotstop (Uuml) 17textbari (1) 17textbarl (ł) 17

textbaro (8) 17textbarrevglotstop (Yacute) 17textbaru (0) 17textbeltl (igrave) 17textbenttailyogh (B) 18textBeta (Β) 16textbeta (β) 16 17textbigcircle () 14textbigcircle () 14textbktailgamma () 18textblank () 28textblock ( ) 190textborn (b) 181textbottomtiebar (alt) 21

textbraceleft 14textbraceright 14textbrevemacron (˘a) 21textbrokenbar (brvbar) 28 243textbullet (∙) 14textbullet (bull) 14 244textbullseye (ograve) 17textcelsius () 130 245textceltpal ( ) 17textcent (cent) 26 243textcentoldstyle () 26textChi (Χ) 16textchi (χ) 16 17textcircled () 21textcircledP 27textcircledP () 27textcircumacute (Ża) 21textcircumdot (â) 21textcloseepsilon (Aring) 17textcloseomega (Ntilde) 17textcloserevepsilon (AElig) 17textcolonmonetary (₡) 26textcommatailz (THORN) 17textcomp (package) 12 14 15

21 25ndash28 75 110 126 130163 181 226 242 244 247

textcopyleft 27textcopyleft (laquo) 27textcopyright ( c) 14 27textcopyright (copy) 14 27 243textcorner (^) 17textcrb (ă) 17textcrd () 20textcrd (ą) 17textcrg (g) 17textcrh (sect) 20textcrh (egrave) 17textcrinvglotstop (Ucirc) 17textcrlambda (ň) 17textcrtwo (2) 17textctc (C) 17textctd (ć) 18textctdctzlig (ćyacute) 18textctesh (š) 18textctinvglotstop (D) 18

346

textctj (J) 18textctjvar (2) 18textctn (ő) 18textctstretchc () 18textctstretchcvar (amp) 18textctt (ť) 18textcttctclig (ťC) 18textctturnt () 18textctyogh (yuml) 18textctz (yacute) 18textcurrency (curren) 26 243textcypr 158textdagger (dagger) 14textdagger (dagger) 14textdaggerdbl (Dagger) 14textdaggerdbl (Dagger) 14

textdbend (

) 181textdblhyphen (-) 28textdblhyphenchar () 28textdblig ()) 18textdctzlig (dyacute) 18textdegree (deg) 126 243textDelta (Δ) 16textdelta (δ) 16textdied (d) 181textdiscount () 28textdiv (divide) 126textdivorced (c) 181textdkshade ( ) 190textdnblock ( ) 190textdollar ($) 14textdollar ($) 14 26textdollaroldstyle () 26textdong (₫) 26textdotacute (secta) 21textdotbreve ( ˙a) 21textdoublebaresh (S) 18textdoublebarpipe () 18textdoublebarpipevar (H) 18textdoublebarslash (= ) 18textdoublegrave (sbquoa) 21textdoublegrave (a) 24textdoublepipe () 18textdoublepipevar (G) 18textdoublevbaraccent (İa) 21textdoublevbaraccent (frac14a) 24textdoublevertline (Ş) 18textdownarrow (darr) 75textdownfullarrow (ˇ) 19textdownstep (Ť) 18textdyoghlig (Atilde) 18textdzlig (dz) 18texteightoldstyle () 28textellipsis 14textemdash 14textendash 14textEpsilon (Ε) 16textepsilon (cent) 20

textepsilon (ε) 16 18textesh (not) 20textesh (S) 18textestimated () 28textEta (Η) 16texteta (η) 16texteuro (euro) 27texteuro (euro) 26texteuro (euro) 26 244textexclamdown 14textfallrise (Ża) 22textfemale (7) 19textfishhookr (R) 18textfiveoldstyle () 28textfjlig () 20textflorin (ƒ) 26textfouroldstyle () 28textfractionsolidus (frasl) 126textfrak 128textfrbarn (5) 19textfrhookd (rsquo) 19textfrhookdvar (() 19textfrhookt () 19textfrtailgamma (-) 19textg (ě) 18textGamma (Γ) 16textgamma (γ) 16 18textglobfall (Ů) 18textglobrise (Ű) 18textglotstop (P) 17textglotstopvari (T) 19textglotstopvarii (U) 19textglotstopvariii (V) 19textgoth 128textgravecircum (Ža) 22textgravedbl () 25textgravedot (đa) 22textgravemacron (à) 22textgravemid (Źa) 22textgreater 14textgreater (gt) 241 242textgreek (package) 16 98 247

248textgrgamma () 19textguarani () 26texthalflength () 17texthardsign (ż) 17textheng (0) 19texthighrise (Ÿa) 22texthmlig (4) 19texthooktop () 17texthtb ( ) 20texthtb (aacute) 17texthtbardotlessj (ecirc) 17texthtbardotlessjvar (3) 18texthtc (deg) 20texthtc (Aacute) 17texthtd (iexcl) 20texthtd (acirc) 17

texthtg (auml) 17texthth (H) 17texththeng (Ecirc) 17texthtk (uml) 20texthtk (Icirc) 17texthtp (plusmn) 20texthtp (Ograve) 17texthtq (Oacute) 17texthtrtaild (č) 17texthtscg (Eacute) 17texthtt (ordm) 20texthtt (Ouml) 17texthvlig (szlig) 17textifsym 130textinterrobang () 28textinterrobangdown () 28textinvglotstop (Ucirc) 17textinvomega () 18textinvsca (p) 18textinvscr (K) 17textinvscripta () 18textinvsubbridge (abdquo) 22textIota (Ι) 16textiota (agrave) 20textiota (ι) 16 17textKappa (Κ) 16textkappa (κ) 16textknit 193

textknit2 (22) 193

textknit3 (33) 193

textknit4 (44) 193

textknit5 (55) 193

textknit6 (66) 193

textknit7 (77) 193

textknit8 (88) 193

textknit9 (99) 193

textknit () 193

textknit( ((() 193

textknit) ())) 193

textknit () 193

textknit- (--) 193

textknit () 193

textknit () 193

textknitlt (ltlt) 193

textknit () 193

textknit[ ([[) 193

textknit] (]]) 193

textknitA (AA) 193

textknita (aa) 193

textknitB (BB) 193

textknitb (bb) 193

textknitE (EE) 193

textknitF (FF) 193

textknitf (ff) 193

textknitH (HH) 193

347

textknith (hh) 193

textknitI (II) 193

textkniti (ii) 193

textknitJ (JJ) 193

textknitj (jj) 193

textknitL (LL) 193

textknitl (ll) 193

textknitM (MM) 193

textknitm (mm) 193

textknitO (OO) 193

textknitQ (QQ) 193

textknitq (qq) 193

textknitR (RR) 193

textknitr (rr) 193

textknitS (SS) 193

textknits (ss) 193

textknitT (TT) 193

textknitt (tt) 193

textknitU (UU) 193

textknitu (uu) 193

textknitV (VV) 193

textknitv (vv) 193

textknitW (WW) 193

textknitw (ww) 193

textknitX (XX) 193

textknitx (xx) 193

textknitY (YY) 193

textknity (yy) 193

textknitZ (ZZ) 193

textknitz (zz) 193textLambda (Λ) 16textlambda (λ) 16 17textlangle (lang) 110 242textlbrackdbl (〚) 110textleaf (l) 181textleftarrow (larr) 75textlengthmark () 17textless 14textless (lt) 241 242textlfblock ( ) 190textlfishhookrlig (I) 18

textlhdbend (~

) 181textlhookfour () 18textlhookp (lt) 18textlhookt (ş) 17textlhti (1) 18textlhtlongi (ę) 17textlhtlongy (ű) 17textlinb 157 158textlira (₤) 26textlnot (not) 126 243textlonglegr (Ocirc) 17textlooptoprevesh (gt) 18textlowering (afl) 22

textlowrise (Źa) 22textlptr (iexcl) 17textlquill (⁅) 110textltailm (M) 17textltailn (copy) 20textltailn (ntilde) 17textltilde (euml) 18textltshade ( ) 190textlyoghlig (ETH) 18textmarried (m) 181textmho () 130textmicro (μ) 16textmidacute (Ÿa) 22textminus (minus) 126textMu (Μ) 16textmu (micro) 130 243textmu (μ) 16textmugreek (μ) 16textmusicalnote () 163textnaira (₦) 26textnineoldstyle () 28textnrleg (6) 18textNu (Ν) 16textnu (ν) 16textnumero () 28textObardotlessj (Iacute) 18textObullseye (9) 18textohm (Ω) 130textOlyoghlig (ŋ) 18textOmega (Ω) 16textomega (ω) 16 18textOmikron (Ο) 16textomikron (ο) 16textonehalf (frac12) 126 243textoneoldstyle 28textoneoldstyle () 28textonequarter (frac14) 126 243textonesuperior (sup1) 126 243textopenbullet () 28textopencorner (_) 18textopeno (ordf) 20textopeno (O) 18textordfeminine (a) 14textordfeminine (ordf) 14 243textordmasculine (o) 14textordmasculine (ordm) 14 243textovercross (permila) 22textoverw (

mdasha) 22

textpalhook () 18textpalhooklong (ˆ) 19textpalhookvar (˜) 19textparagraph (para) 14textparagraph (para) 14textperiodcentered (middot) 14textperiodcentered (middot) 14

243textpertenthousand () 14textpertenthousand () 14textperthousand () 14

textperthousand (permil) 14 244textpeso () 26textPhi (Φ) 16textphi (φ) 16 18textPi (Π) 16textpi (π) 16textpilcrow (para) 28textpipe (|) 20textpipe (|) 18textpipevar (F) 19textpm (plusmn) 126 243textpmhg 154textpolhook (a) 22textprimstress () 18textproto 153textPsi (Ψ) 16textpsi (ψ) 16textqplig (=) 19textquestiondown 14textquotedbl () 17 241textquotedblleft 14textquotedblright 14textquoteleft 14textquoteright 14textquotesingle () 28 241textquotestraightbase (sbquo) 28textquotestraightdblbase (bdquo)

28textraiseglotstop (ĳ) 18textraisevibyi (ğ) 18textraising (afi) 22textramshorns (7) 18textrangle (rang) 110 242textrbrackdbl (〛) 110textrecipe () 28 228textrectangle (uml) 19textreferencemark () 28 30textregistered ( r) 14 27textregistered (reg) 14 27

243textretracting (affl) 22textretractingvar (˚) 19textrevapostrophe () 18textreve (9) 18textrevepsilon (3) 18 229

textreversedvideodbend (

) 181

textrevglotstop (Q) 18textrevscl (v) 19textrevscr (z) 19textrevyogh (ź) 18textRho (Ρ) 16textrho (ρ) 16textrhooka ( ) 19textrhooke () 19textrhookepsilon (+) 19textrhookopeno () 19textrhookrevepsilon (Ccedil) 18

348

textrhookschwa (Auml) 18textrhoticity (~) 18textrightarrow (rarr) 75textringmacron (a) 22textrisefall (Ža) 22textroundcap (ldquoa) 22textrptr (iquest) 18textrquill (⁆) 110textrtaild (eth) 20textrtaild (atilde) 18textrtailhth () 19textrtaill (iacute) 18textrtailn (iuml) 17textrtailr (oacute) 17textrtails (ugrave) 17textrtailt (raquo) 20textrtailt (uacute) 17textrtailz (uuml) 17textrtblock ( ) 190textrthook ($) 17textrthooklong (acute) 18

textRubikUa (Ua ) 203

textsarab 159textsca (Agrave) 17textscaolig (q) 18textscb (agrave) 17textscdelta (r) 18textsce (ď) 17textscf (s) 18textscg (aring) 17textsch (Euml) 17textschwa (iexcl) 20textschwa () 17textsci (I) 17textscj (ĺ) 17textsck (t) 18textscl (Iuml) 17textscm (w) 18textscn (eth) 17textscoelig (Œ) 17textscomega (ś) 17textscp (x) 18textscq (y) 18textscr (ouml) 17textscripta (A) 17textscriptg (g) 17textscriptv (not) 20textscriptv (V) 17textscu (Uacute) 17textscy (Y) 17textseagull (a) 22textsecstress (shy) 17textsection (Auml) 162textsection (S) 14textsection (sect) 14textservicemark 27textservicemark () 27textsevenoldstyle () 28

textSFi ( ) 190textSFii ( ) 190textSFiii ( ) 190textSFiv ( ) 190textSFix ( ) 190textSFl ( ) 190textSFli ( ) 190textSFlii ( ) 190textSFliii ( ) 190textSFliv ( ) 190textSFv ( ) 190textSFvi ( ) 190textSFvii ( ) 190textSFviii ( ) 190textSFx ( ) 190textSFxi ( ) 190textSFxix ( ) 190textSFxl ( ) 190textSFxli ( ) 190textSFxlii ( ) 190textSFxliii ( ) 190textSFxliv ( ) 190textSFxlix ( ) 190textSFxlv ( ) 190textSFxlvi ( ) 190textSFxlvii ( ) 190textSFxlviii ( ) 190textSFxx ( ) 190textSFxxi ( ) 190textSFxxii ( ) 190textSFxxiii ( ) 190textSFxxiv ( ) 190textSFxxv ( ) 190textSFxxvi ( ) 190textSFxxvii ( ) 190textSFxxviii ( ) 190textSFxxxix ( ) 190textSFxxxvi ( ) 190textSFxxxvii ( ) 190textSFxxxviii ( ) 190textshade ( ) 190textSigma (Σ) 16textsigma (σ) 16textsixoldstyle () 28textsoftsign (ž) 17textspleftarrow (˝) 18textsterling ($) 14textsterling ($) 14 26textstretchc (Acirc) 17textstretchcvar ($) 18textstyle 232 233 240textsubacute (a

rsaquo) 22

textsubarch (aldquo) 22

textsubbar (amacr) 22

textsubbridge (ardquo) 22textsubcircum (a

ˆ) 22

textsubdot (a˙) 22

textsubdoublearrow (˙) 18textsubgrave (a

lsaquo) 22

textsublhalfring (andash) 22textsubplus (aff) 22textsubrhalfring (araquo) 22textsubrightarrow (macr) 19textsubring (a

˚) 22

textsubsquare (alaquo) 22textsubtilde (a

˜) 22

textsubumlaut (auml) 22

textsubw (amdash) 22textsubwedge (a

ˇ) 22

textsuperimposetilde (aamp) 22

textsuperscript 23textsurd (radic) 126textswab 128textsyllabic (a

) 22

textTau (Τ) 16texttau (τ) 16texttctclig (tC) 17textteshlig () 20textteshlig (Ugrave) 17textTheta (Θ) 16texttheta (θ) 16 17textthing (N) 182textthorn (thorn) 18textthornvari (P) 19textthornvarii (Q) 19textthornvariii (R) 19textthornvariv (S) 19textthreeoldstyle () 28textthreequarters (frac34) 126

243textthreequartersemdash ()

28textthreesuperior (sup3) 126

243texttildedot (ã) 22texttildelow (~) 28 242texttimes (times) 126texttoneletterstem (pound) 18texttoptiebar (gta) 22

texttrademark (TM) 14 27texttrademark (trade) 14 27 244texttslig (ţ) 18textturna (5) 18textturncelig (ŕ) 18textturnglotstop (E) 19textturnh (4) 18textturnk (ľ) 18textturnlonglegr (Otilde) 18textturnm (W) 18textturnmrleg (icirc) 18textturnr (ocirc) 18textturnrrtail (otilde) 18textturnsck (u) 19textturnscripta (6) 18textturnscu () 19textturnt (Oslash) 18textturnthree (C) 19

349

textturntwo (A) 19textturnv (2) 18textturnw (ucirc) 18textturny (L) 18texttwelveudash () 28texttwooldstyle 28texttwooldstyle () 28texttwosuperior (sup2) 126 243textuncrfemale (8) 19textunderscore 14textuparrow (uarr) 75textupblock ( ) 190textupfullarrow (˘) 19textUpsilon (Υ) 16textupsilon (υ) 16 18textupstep (Ţ) 18textvbaraccent (Ĳa) 23textvbaraccent (iquesta) 24textvertline (Š) 18textvibyi (ğ) 18textvibyy (ů) 18textvisiblespace 14textwon (₩) 26textwynn (szlig) 18textXi (Ξ) 16textxi (ξ) 16textxswdown (U) 182textxswup (T) 182textyen (yen) 26 243textyogh (para) 20textyogh (Z) 18textzerooldstyle () 28textZeta (Ζ) 16textzeta (ζ) 16tfm files 12 204 226 245tfrupee (package) 27 247 248TH (THORN) 15 243th (thorn) 162th (thorn) 15 243

Thanh Han Thacutee 234therefore (6) 54therefore (there4) 52 119therefore (micro) 60therefore (there4) 120therefore (there4) 120therefore (there4) 120Thermo 183thermod (⧧) 126Theta (Θ) 97theta (120579) 97thetaup (θ) 98thething (N) 182thickapprox (asymp) 52thickapprox (Acirc) 60thickapprox (asymp) 58thickapprox (asymp) 61thicksim (sim) 52thicksim (ETH) 60thicksim (sim) 58

thicksim (sim) 61thickvert (~) 104thin space 240

ThinFog () 183thinstar (⋆) 38third (3) 124thirty-second note see musical

symbols

thirtysecondNote (Z) 166

thirtysecondNoteDotted (Z )

166thirtysecondNoteDottedDouble

(Z

) 166thirtysecondNoteDottedDoubleDown

(Z ) 166

thirtysecondNoteDottedDown

(Z ) 166

thirtysecondNoteDown (Z) 166

Thorn (THORN) 20thorn (p) 20thorn (B) 19thorn (thorn) 20thousandths see

textperthousand

threeBeamedQuavers ( ZZZ ) 167

threeBeamedQuaversI ( ZZZ ) 167

threeBeamedQuaversII ( ZZZ ) 167

threeBeamedQuaversIII

( ZZZ ) 167threedangle (⟀) 123threedotcolon (⫶) 36threesim (simsimsim) 231thumb pizzicato see lilyThumb

tick see check markstieinfty (⧝) 122TikZ (package) 196ndash198 203tikzsymbols (package) 196 197

247 248tilde 14 17 19 21ndash23 25 28

110 112 115 234 242extensible 112 115vertically centered 242

tilde ( ) 111tilde (˜) 110 234tildel (-) 19time of day 183 184time signatures 167timelimit (T) 186times (times) 31times (z) 35times (times) 34times (times) 33times (times) 36Times Roman (font) 26 228

timesbar (⨱) 34timesbar (⨱) 36timing (package) 130tipa (package) 17 18 20 21 23

24 229 247tipx (package) 18 247Tmesonminus (agrave) 138Tmesonnull (aacute) 138Tmesonplus (szlig) 138tminus (⧿) 36

tndtstile ( ) 63

tnststile ( ) 63

tntstile ( ) 63

tnttstile ( ) 63to see rightarrow

to (rarr) 83ToBottom (frac12) 182toea (⤨) 88tona (⤧) 88tone 18Tongey ( ) 196top (⊤) 31 100 232top (⊤) 101top (⊺) 100top (⊤) 101

topborder () 188topbot (perp⊤) 232 233topbot () 101Topbottomheat () 196topcir (⫱) 126topdoteq (ldquo) 54topfork (yuml) 60topfork (⫚) 61Topheat () 196topsemicircle () 148torus (T) see alphabets mathtosa (⤩) 88ToTop (frac14) 182towa (⤪) 89tplus (⧾) 36

TR () 134trademark 14 27 243 244

registered 14 27 243TransformHoriz () 64transforms 64 118

TransformVert () 64transliteration 20 24

semitic 20 24transliteration symbols 20transpose 31transversal intersection see

pitchfork

trapezium () 148

trebleclef (G) 164

trees 197 224

350

trema (a) see accentstrfsigns (package) 64 101 118

247triangle () 124triangle () 39 74

triangle () 188triangle () 73triangle () 40 149triangle relations 72ndash74trianglecdot () 148

TriangleDown (o) 150

TriangleDown (3) 149

TriangleDown (o vs 3) 227triangledown (O) 124triangledown (iacute) 147triangledown () 39 74triangledown () 73triangledown () 148triangleeq (≜) 74triangleeq (≜) 73

TriangleLeft (2) 150triangleleft (Ÿ) 73triangleleft (▷) 31triangleleft (yuml) 74 147triangleleft (◁) 39 74triangleleft (◁) 73triangleleftblack () 148trianglelefteq (Ĳ) 73trianglelefteq (E) 72trianglelefteq (ccedil) 74trianglelefteq (⊴) 74trianglelefteq (⊴) 69 73trianglelefteq (⊴) 74trianglelefteqslant (P) 72trianglelefteqslant (Ograve) 74triangleminus (⨺) 40

triangleodot (⧊) 148triangleplus (⨹) 40

triangleq () 30 72triangleq (Oslash) 60triangleq (≜) 74triangleq (≜) 73

triangleq (≜) 74

TriangleRight (4) 150triangleright (Ź) 73triangleright (◁) 31triangleright (thorn) 74 147triangleright (▷) 39 74triangleright (▷) 73trianglerightblack () 148trianglerighteq (İ) 73trianglerighteq (D) 72trianglerighteq (aelig) 74trianglerighteq (⊵) 74trianglerighteq (⊵) 69 73trianglerighteq (⊵) 74trianglerighteqslant (Q) 72

trianglerighteqslant (Oacute) 74triangles 124 133 135 147ndash150

173ndash178 187 188 204ndash206222

triangles (⧌) 148triangleserifs (⧍) 40triangletimes (⨻) 40triangleubar (⧋) 148

TriangleUp (n) 150

TriangleUp (1) 150

TriangleUp (n vs 1) 227Tribar ( ) 197trident () 196trill (E) 164Trine (u) 133triple 109triplebar () 162triplecovbond (AElig) 138triplecross (amp) 162tripledot () 162tripleeye (gt) 162triplefrown () 94tripleplus (-) 162tripleplus (⧻) 36triplesim (≋) 58triplesim (≋) 55triplesmile () 94trprime () 122trslash (⫻) 36trsym (package) 64 247tsbm ( ) 188

tsdtstile ( ) 63tsmb ( ) 188tsmm ( ) 188

tsststile ( ) 63Tsteel () 136

tststile ( ) 63

tsttstile ( ) 63

ttdtstile ( ) 63

ttimes (() 35TTsteel () 136

ttststile ( ) 63

tttstile ( ) 63

ttttstile ( ) 63

TUGboat 112 249Tumbler () 182turn (D) 164turnangle (⦢) 123turnedbackneg (⨽) 125turnediota () 99turnedneg (⨼) 125turnednot () 126turnstile (package) 63 247 248

TwelweStar (J) 145twiddle see tilde

twoBeamedQuavers (C C) 167twocaps (⩋) 36twocups (⩊) 36twoheaddownarrow () 86twoheaddownarrow () 81twoheaddownarrow () 78twoheaddownarrow () 89twoheadleftarrow () 75twoheadleftarrow () 86twoheadleftarrow () 81twoheadleftarrow () 78twoheadleftarrow () 89twoheadleftarrowtail (⬻) 89twoheadleftdbkarrow (⬷) 89twoheadmapsfrom (⬶) 89twoheadmapsto (⤅) 89twoheadnearrow () 81twoheadnearrow () 78twoheadnwarrow () 81twoheadnwarrow () 78twoheadrightarrow () 75twoheadrightarrow () 86twoheadrightarrow (↠) 81twoheadrightarrow (↠) 78twoheadrightarrow (↠) 89twoheadrightarrowtail (⤖) 89twoheadsearrow () 81twoheadsearrow () 78twoheadswarrow () 81twoheadswarrow () 78twoheaduparrow () 86twoheaduparrow () 81twoheaduparrow () 78twoheaduparrow () 89twoheaduparrowcircle (⥉) 89twoheadwhiteuparrow () 86twoheadwhiteuparrowpedestal

(+) 86twonotes () 163twonotes () 163txfonts (package) 30 32

44 53 54 65 68 76 9598ndash100 124 128 151 226228 242 247

type1cm (package) 226typecolon (⦂) 36Type 1 (font) 239

UU (U) 162U (a

˘) 24

U (frac14a) 21U (a) 21u (a) 21u (u) 162UA (^) 134UArrow ( uarr ) 134

UB (lt) 165ubar (u) 20

351

ubarbbrevis (ε) 189ubarbrevis (δ) 189ubarsbrevis (φ) 189ubrbrak (⏡) 126ubrevislonga (κ) 189ubulbfd (file) 239ucs (package) 245udesc (u) 20udingbatfd (file) 213udot (uml) 33udotdot () 34 120udotdot () 33 120udots (⋰) 120udots (⋰) 120udtimes (]) 37

UHORN (Ư) 16uhorn (ư) 16ularc () 126ulblacktriangle () 148ulcorner (x) 102ulcorner (p) 102ulcorner (Oslash) 102

ulcorner () 106

ulcorner () 105

ulcorner () 103

ullcorner (S) 106

ullcorner (6) 105

ulrcorner (Y) 106

ulrcorner () 105

ulsy (package) 37 95 229 247ultriangle (◸) 148

Umd (a) 165uminus (⩁) 36umlaut (a) see accentsumranda (package) 210 211 247umrandb (package) 211 212 247unary operators 30unclear (k) 186underaccent 234underarc (a

) 24

underarch (a) 23underbrace (

loomoon

) 114

underbrace (IacuteNtildeIuml) 113

underbrace (reg) 113

underbrace (⏟ ⏞ ) 114

underbrace (⏟⏟⏟

) 114


underbracket ( ) 114

underbracket () 114

underbracket ( ) 235 236

underdots (r) 25undergroup (

loooon

) 114

undergroup (IacuteIuml) 113

undergroup (acutepara) 113

underleftarrow () 114

underleftarrow (larrminus) 92 113

underleftharp () 91

underleftharpdown () 91

underleftharpoon () 114

underleftrightarrow () 114

underleftrightarrow (larrrarr) 92113

underleftswishingghost ( )

118underleftwitchonbroom (

minusminusisin)


minusminusisin)

118underline 14 30 112 116underline ( ) 112underlinesegment (

notshy) 113

underlinesegment (zx) 113

underparen (⏝⏝

) 114

underparenthesis (⏟ ) 235

236underrightarrow (

) 114

underrightarrow (minusrarr) 92 113

underrightharp () 91

underrightharpdown () 91

underrightharpoon () 114

underrightswishingghost ( )

118underrightwitchonbroom (

niminusminus)

118underrightwitchonbroom

(niminusminus

) 118

underring (y) 25underscore see underlineunderscore (package) 14underscriptleftarrow (larrminus) 118underscriptleftrightarrow

(larrrarr) 118underscriptrightarrow (minusrarr)

118underset 230undertilde (package) 115 247undertilde (|) 25underwedge () 25Unicode 12 190 244ndash246

union see cup

unit disk (D) see alphabetsmath

unitedpawns (u) 186units (package) 126unity (1) see alphabets mathuniversa (package) 150 182 247unlhd (E) 31 32unlhd (⊴) 71unlhd (⊴) 69 73unlhd (⊴) 36unrhd (D) 31 32unrhd (⊵) 71unrhd (⊵) 69 73unrhd (⊵) 36upalpha (α) 98upand (⅋) 36UParrow (K) 181Uparrow (uArr) 75 103Uparrow (uArr) 81

Uparrow (

uArrEumlEumlEumlEumlEuml) 106Uparrow (uArr) 78Uparrow (uArr) 89

Uparrow (uArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArr

) 107

uparrow (uarr) 75 103 226

uparrow (

uarrEgraveEgraveEgraveEgraveEgrave) 106uparrow (uarr) 81uparrow (uarr) 78uparrow (uarr) 92

uparrow (uarr) 107

uparrow (uarr) 89uparrowbarred (⤉) 89

uparrowoncircle (⦽) 148uparrowtail () 82uparrowtail () 78upAssert (⫨) 58upassert (⫠) 58upbackepsilon (϶) 99upbar 23upbeta (β) 98upbkarrow () 82upblackarrow () 86upblackspoon (m) 94upbow () 164upbowtie (⧖) 34 35upbracketfill 235upchi (χ) 98updasharrow () 86updasharrow () 89Updelta (∆) 98updelta (δ) 98Updownarrow () 75 103Updownarrow () 82

Updownarrow (

uArrEumlEumlEumlEumldArr) 106

352

Updownarrow () 78Updownarrow () 89

Updownarrow (uArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArrdArr

) 107updownarrow () 75 103

updownarrow (

uarrEgraveEgraveEgraveEgravedarr) 106updownarrow () 82updownarrow () 78updownarrow () 92

updownarrow (uarrdarr) 107

updownarrow () 89updownarrowbar () 86updownarrowbar () 89updownarrows (Ouml) 76updownarrows () 82updownarrows () 78updownarrows () 89updownblackarrow (2) 86updowncurvearrow (yen) 83updownharpoonleftleft (⥑) 90updownharpoonleftright (⥍)

85updownharpoonleftright (Q) 80updownharpoonleftright (⥍)

90updownharpoonrightleft (⥌)

85updownharpoonrightleft (U) 80updownharpoonrightleft (⥌)

90updownharpoonrightright (⥏)

90updownharpoons (ecirc) 77updownharpoons (⥮) 85updownharpoons (⥮) 80updownharpoonsleftright (⥮)

85updownharpoonsleftright (⥮)

90Updownline (∥) 55updownline (∣) 55updownsquigarrow () 83updownwavearrow () 82updownwhitearrow () 86upepsilon (ε) 98upeta (η) 98upfilledspoon (q) 93upfishtail (⥾) 61upfootline (y) 55upfree () 55Upgamma (Γ) 98upgamma (γ) 98upgreek (package) 16 98 247upharpoonccw () 80upharpooncw () 80upharpoonleft (auml) 77upharpoonleft () 76

upharpoonleft () 87upharpoonleft () 85upharpoonleft () 90upharpoonleftbar (⥠) 90upharpoonright (aelig) 77upharpoonright () 76upharpoonright () 87upharpoonright () 85upharpoonright () 90 91upharpoonrightbar (⥜) 91upharpoonsleftright (⥣) 91upin (⟒) 61upint (stix package option) 41

42 49 51upint (⨛) 49

upintsl (⨛) 51

upintup (⨛) 51upiota (ι) 98upkappa (κ) 98Uplambda (Λ) 98uplambda (λ) 98uplcurvearrow () 83upleftcurvedarrow () 83uplett 23uplsquigarrow () 83uplsquigarrow (iexcl) 78uplus (Z) 33uplus (⊎) 31uplus () 35uplus (⊎) 35uplus (⊎) 34uplus (⊎) 36Upmapsto (-) 82upmapsto () 82upmapsto () 78upModels (ntilde) 55upmodels (iacute) 58upmodels (aacute) 55upmu (micro) 98upnu (ν) 98Upomega (Ω) 98upomega (ω) 98upp (t) 25upparenthfill 235Upphi (Φ) 98upphi (φ) 98Uppi (Π) 98uppi (π) 98uppitchfork (⋔) 95uppitchfork (⋔) 93uppropto () 55Uppsi (Ψ) 98uppsi (ψ) 98upquote (package) 242uprcurvearrow () 83uprho (ρ) 98upright Greek letters 16 98uprightcurvearrow (⤴) 83

uprightcurvearrow (⤴) 89uprsquigarrow () 83uprsquigarrow (copy) 78upside-down symbols 242upside-down symbols 17ndash20 24

229Upsigma (Σ) 98upsigma (σ) 98Upsilon (ϒ) 97upsilon (120592) 97Upsilonmeson (acirc) 138upsilonup (υ) 98upslice (Agrave) 38upspoon (⫯) 94upspoon (⫯) 93upt (l) 25uptau (τ) 98uptherefore (there4) 120uptherefore (there4) 33 120Uptheta (Θ) 98uptheta (θ) 98uptodownarrow (thorn) 76uptodownarrow (ecirc) 86upuparrows (Ograve) 76upuparrows () 75upuparrows () 86upuparrows () 82upuparrows () 78upuparrows () 89upupharpoons (Uacute) 77Upupsilon (Υ) 98upupsilon (υ) 98upvarepsilon (ε) 98upvarphi (ϕ) 98upvarpi ($) 98upvarrho (ρ) 98upvarsigma (σ) 98upvartheta (ϑ) 98upVDash (ugrave) 58upVdash () 58upVdash () 55upvDash (⫫) 58upvdash (perp) 58upvdash (perp) 55upwavearrow () 82upwhitearrow ($) 86upwhitearrow () 89Upxi (Ξ) 98upxi (ξ) 98upY (-) 34upY ()) 33upzeta (ζ) 98Uranus (G) 132Uranus (F) 133Uranus (Ccedil) 132uranus (Z) 131urarc () 126urblacktriangle () 148urcorner (y) 102

353

urcorner (q) 102urcorner (Ugrave) 102

urcorner () 106

urcorner () 105

urcorner () 103url (package) 242urtriangle (◹) 148urwchancal (package) 128 247US () 134 135US () 135usepackage 12

usf (ffi) 164

usfz (raquo) 164ushort (package) 116 247 248ushort ( ) 116ushortdw ( ) 116

ushortw ( ) 116ut (a

˜) 23

UTF-8 245utf8x (inputenc package option)

245utilde () 115

utimes (() 34 35utimes (^) 37utimes ($) 33Utopia (font) 26 51UU () 134UUparrow (⟰) 89

UUparrow (⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰

) 108

Uuparrow (⤊) 82Uuparrow (⤊) 89

Uuparrow (⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊

) 108

uwebofd (file) 210

Vv (a) 21vara (a) 20varamalg (⨿) 34varangle () 124varbarwedge () 36varbeta () 99varbigcirc () 32varbigtriangledown () 149varbigtriangleup () 149varcap (plusmn) 35varCapricorn (Z) 133varcarriagereturn () 89

VarClock () 183varclub () 151varclubsuit (p) 151varclubsuit () 151varcoppa (ϙ) 159varcoprod (∐) 47varcup (deg) 35

varcurlyvee () 32varcurlywedge () 32vardiamond (diams) 151vardiamondsuit (q) 151vardiamondsuit (diams) 151vardiamondsuit (diams) 151vardigamma ()) 159vardoublebarwedge () 36vardownarrow (darr) 92vardownwavearrow () 82varEarth (J) 132varepsilon (120576) 97varepsilon () 99varepsilon () 99varepsilonup (ε) 98

VarFlag () 183varg (txfontspxfonts package op-

tion) 99varg (1) 99varg () 99varg (G) 20vargeq (ľ) 68varhash () 124varhash () 60varheart (hearts) 151varheartsuit (r) 151varheartsuit (hearts) 151varheartsuit (hearts) 151varhexagon () 148varhexagon (9) 146varhexagonblack () 148varhexagonlrbonds () 148varhexstar (B) 144varhookdownarrow (3) 82varhookleftarrow () 82varhookleftarrow (larr˒) 92varhooknearrow (⤤) 82varhooknwarrow (⤣) 82varhookrightarrow () 82varhookrightarrow (rarr˓) 92varhooksearrow (⤥) 82varhookswarrow (⤦) 82varhookuparrow (9) 82vari (i) 20variable-sized symbols 42ndash52

226 228VarIceMountain () 183varinjlim (limminusrarr) 92 96

varint (r) 43

varintercal (oacute) 35various (R) 186varisinobar (⋶) 61varisins (cedil) 60varisins (⋳) 61varkappa (κ) 97varkappa () 99varkappa (z) 99varleftarrow (larr) 92

varleftrightarrow (harr) 92varleftrightwavearrow ()

82varleftwavearrow () 82varleq (ĺ) 68varliminf (lim) 96

varlimsup (lim) 96varlongleftarrow (larrminus) 92varlongleftrightarrow (larrrarr)

92varlongmapsfrom (larrminus[) 92varlongmapsto (↦minusrarr) 92varlongrightarrow (minusrarr) 92varlrtriangle (⊿) 149varlrttriangle (auml) 74 147varmapsfrom (larr[) 92varmapsto (↦rarr) 92varmathbb 128varmodtwosum (⨊) 48varMoon (a) 133VarMountain () 183varnearrow () 92varniobar (⋽) 61varnis (sup1) 60varnis (⋻) 61varnothing (empty) 30 124varnothing (Aacute) 125varnothing (empty) 125varnothing (empty) 125varnothing (empty) 123varnotin (T) 100varnotowner (U) 100varnwarrow () 92varoast () 32varobar () 32varobslash () 32varocircle () 32varodot () 32varogreaterthan (5) 32

varoiiintclockwise (F

) 44

varoiiintctrclockwise (N

)

44varoiint (

) 45

varoiintclockwise (B

) 44

varoiintctrclockwise (J

) 44

varoint (u

) 43

varointclockwise (-

) 44

varointclockwise (ff) 45

varointclockwise (∲) 48varointclockwise (∲) 49varointclockwisesl (∲) 50varointclockwiseup (∲) 50

varointctrclockwise (+

) 45

varointctrclockwise (fl) 45

varointctrclockwise (∳) 48varolessthan (4) 32varomega () 20

354

varominus () 32varopeno (C) 20varoplus () 32varoslash () 32varosum (⨊) 48varotimes () 32varovee (6) 32varowedge (7) 32varparallel (∥) 53varparallelinv () 53varpartialdiff (Ccedil) 102varphi (120601) 97varphi () 99varphi () 99varphiup (ϕ) 98varphoton (119871) 138varpi (120603) 97varpi ($) 99varpi ($) 98varpi ($) 99varpiup ($) 98varPluto (H) 133varprod (

) 45

varprod (prod) 48varprojlim (limlarrminus) 92 96

varpropto (prop) 52varpropto (szlig) 60varpropto (prop) 58varpropto (prop) 56varpropto (prop) 61varrho (120602) 97varrho () 99varrho () 98varrho () 99varrhoup () 98varrightarrow (rarr) 92varrightwavearrow () 82Varsampi (_) 159varsampi () 159varsearrow () 92varsigma (120589) 97varsigma (amp) 99varsigma (amp) 99varsigmaup (ς) 98varspade () 151varspadesuit (s) 151varspadesuit () 151varsqcap (sup3) 35varsqcup (sup2) 35varsqsubsetneq (Ł) 65varsqsubsetneqq (Š) 65varsqsupsetneq (Ń) 65varsqsupsetneqq (Ş) 65varstar (rsaquo) 33varstar () 149varstigma (ϛ) 159varsubsetneq (Ł) 65varsubsetneq ( ) 65varsubsetneq ( ) 66

varsubsetneq (⊊) 66varsubsetneq (⊊) 66varsubsetneq (⊊) 67varsubsetneqq (Š) 65varsubsetneqq (amp) 65varsubsetneqq (brvbar) 66varsubsetneqq (⫋) 66varsubsetneqq (⫋) 66varsubsetneqq (⫋) 67varsum (sum) 48

varsumint (⨋) 48

VarSummit () 183varsupsetneq (Ń) 65varsupsetneq () 65varsupsetneq (iexcl) 66varsupsetneq (⊋) 66varsupsetneq (⊋) 66varsupsetneq (⊋) 67varsupsetneqq (Ş) 65varsupsetneqq () 65varsupsetneqq (sect) 66varsupsetneqq (⫌) 66varsupsetneqq (⫌) 66varsupsetneqq (⫌) 67varswarrow () 92

VarTaschenuhr () 183varTerra (l) 133vartheta (120599) 97vartheta () 99vartheta () 99varthetaup (ϑ) 98vartimes () 32vartimes () 35vartriangle (M) 124vartriangle (igrave) 74vartriangle () 39 74vartriangle () 73vartriangle () 74vartriangleleft (Ÿ) 73vartriangleleft (C) 72vartriangleleft (aring) 74vartriangleleft (⊲) 74vartriangleleft (⊲) 69 73vartriangleleft (⊲) 74 149vartriangleright (Ź) 73vartriangleright (B) 72vartriangleright (auml) 74vartriangleright (⊳) 74vartriangleright (⊳) 69 73vartriangleright (⊳) 74 149varuparrow (uarr) 92varupdownarrow () 92varupdownwavearrow () 82varupwavearrow () 82varUranus (A) 133varv (3) 99varvarpi (Egrave) 98varvarrho (AElig) 98

varVdash (⫦) 61varveebar (⩡) 36varw (4) 99vary (2) 99

VBar () 150Vbar (⫫) 58Vbar (⫫) 62vBar (⫨) 58vBar (⫨) 61vBarv (⫩) 62vbipropto () 33vbrtri (⧐) 74vcentcolon () 62vcenter 231vcrossing () 55VDash (() 54VDash (ordm) 60VDash (⊫) 58VDash (⊫) 56VDash (⊫) 62Vdash () 54Vdash (13) 52Vdash (cedil) 60Vdash (⊩) 58Vdash (⊩) 56Vdash (⊩) 62vDash (() 54vDash () 52vDash (raquo) 60vDash (⊨) 58vDash (⊧) 56vDash (⊨) 62vdash (⊢) 52vdash (⊢) 58vdash (⊢) 56vdash (⊢) 62vDdash (⫢) 58vDdash (⫢) 62vdotdot (∶) 34 120vdotdot (∶) 33 120

vdots () 120

vdots () 119

vdots (⋮) 34vdots (⋮) 120vdots (⋮) 62vec ( ) 111vec () 111vec () 111vec () 111vec () 110vectimes (⨯) 36Vee (ucirc) 35Vee (⩔) 36vee (_) 33vee (or) 31vee () 35vee (or) 34 35

355

vee (or) 33vee (or) 36veebar (Y) 33veebar (Y) 31veebar (ETH) 35veebar (⊻) 34veebar (⊻) 36veedot (⟇) 34veedot () 33veedot (⟇) 36veedoublebar ([) 33veedoublebar (⩣) 34veedoublebar (⩣) 36veeeq () 60veeeq (≚) 58

veeeq (≚) 62veemidvert (⩛) 36veeodot (⩒) 36veeonvee () 35veeonvee (⩖) 35veeonvee (⩖) 36veeonwedge (⩙) 62Venus (B) 132Venus (g) 133Venus (Atilde) 132venus () 131vernal () 131versicle ( ) 245 246

VERT (

) 109

Vert () 103ndash105

Vert (

∥∥∥∥∥∥) 106Vert (∥) 107

Vert (

) 108vert (|) 103ndash105

vert (

∣∣∣∣∣∣) 106vert (∣) 107

vert (

|

|

|

|

|

|

) 108vertbowtie (⧖) 34vertdiv () 34Vertex () 133vertoverlay () 62Vesta (˙) 133VHF () 130Vier ( ˇ ldquo) 165vietnam (package) 247viewdata () 126

Village () 183

vin ( ) 103vinculum see overline

ViPa ( gt ) 165virga see musixgreVirgo (m) 133Virgo (aring) 132

virgo (`) 131vlongdash (⟝) 58vlongdash (⟝) 62VM (gt) 165vntex (package) 16 21vod (v

˚) 20

voicedh (h) 20Vomey ( ) 196vppm (

macr) 188

vpppm (macr

) 188vrectangle () 149vrectangleblack () 149vrule 190VT () 135Vulkanus (ouml) 133vv ( raquo) 115VvDash () 53Vvdash () 54Vvdash () 52Vvdash (sup1) 60Vvdash (⊪) 58Vvdash (⊪) 55Vvdash (⊪) 62

Vvert (


Vvert (⦀

⦀

⦀

⦀

⦀

⦀

) 108vvvert (~) 104vysmblkcircle (∙) 40vysmblksquare () 149vysmwhtcircle (∘) 40vysmwhtsquare () 149vzigzag (⦚) 126

Ww (w) 162Walley ( ) 196warning () 196WashCotton () 182WashSynthetics () 182WashWool () 182wasylozenge (loz) 181wasypropto () 53wasysym (package) 20 26 28

32 43 53 65 68 119 124130 131 133 136 143 144146 163 181 227 247

wasytherefore (there4) 119Water (Oacute) 133water (119903) 138wavy-line delimiters 104ndash108wbetter (f) 186Wboson (ocirc) 138Wbosonminus (oacute) 138Wbosonplus (ograve) 138wdecisive (h) 186weakpt (J) 186

WeakRain () 183WeakRainCloud () 183

weather symbols 183 197ndash198Web symbols 199ndash202webomints (package) 209 210

247Wecker () 183Wedge (uuml) 35Wedge (⩓) 36wedge (^) 33wedge (and) 31wedge () 35wedge (and) 34 35wedge (and) 34wedge (and) 36wedgebar (⩟) 36wedgedot (⟑) 34wedgedot () 34wedgedot (⟑) 36wedgedoublebar (⩠) 36wedgemidvert (⩚) 36wedgeodot (⩑) 36wedgeonwedge (⩕) 35wedgeonwedge (⩕) 36wedgeq (≙) 58

wedgeq (≙) 62Weierstrass weierp function see wp

westcross () 143wfermion (lceil) 137Wheelchair (w) 182whfermion () 137whistle (a

Ţ) 23

white 188whitearrowupfrombar (amp) 87whitearrowupfrombar () 89whitearrowuppedestal () 87whitearrowuppedestalhbar (()

87whitearrowuppedestalvbar ())

87

WhiteBishopOnBlack (A) 187

WhiteBishopOnWhite (B) 187

whiteblackspoon (⊶) 94WhiteEmptySquare (0) 187whiteinwhitetriangle (⟁)

149

WhiteKingOnBlack (J) 187

WhiteKingOnWhite (K) 187

WhiteKnightOnBlack (M) 187

WhiteKnightOnWhite (N) 187

356

WhitePawnOnBlack (O) 187

WhitePawnOnWhite (P) 187whitepointerleft () 149whitepointerright () 149

WhiteQueenOnBlack (L) 187

WhiteQueenOnWhite (Q) 187

WhiteRookOnBlack (S) 187

WhiteRookOnWhite (R) 187whitesquaretickleft (⟤) 40whitesquaretickright (⟥) 40whitestone 187whole note see musical symbolswholeNote ( ) 166wholeNoteDotted ( ) 166wholeNoteRest ( ) 168wholeNoteRestDotted ( ) 168wholeof ( 3) 229whthorzoval () 149whtvertoval () 149Wick contractions 236wideangledown (⦦) 123wideangleup (⦧) 123widearc (Oslash) 115widearrow (t) 114widebar (s) 114widebridgeabove () 111widecheck (q) 114widecheck () 114widehat () 113widehat () 113widehat () 114

widehat (rdquo) 113widehat () 112wideOarc (auml) 115wideparen (u) 114wideparen () 113wideparen () 115wideparen (Igrave) 113

wideparen ( ) 113

widering (u) 114

widering () 115

widering (˚

) 113widetilde () 113widetilde () 113widetilde () 114

widetilde (rsaquo) 113widetilde () 112 115

widetriangle (Egrave) 113wind 183

Windowsreg 244

Winkey ( ) 196wInnocey ( ) 196Wintertree ( ) 197witches 40 118with (amp) 37with (v) 186withattack (A) 186withidea (E) 186withinit (C) 186without (w) 186Wizards of the Coast 224wn () 30woman 153 182WomanFace (thorn) 182won see textwon

world 182WorstTree ( ) 197wp (weierp) 100wp () 101wp (weierp) 101wp (weierp) 100wp (weierp) 101wq (8) 164wqq (shy) 164wr (≀) 31wr (≀) 35wr (≀) 34wr (≀) 36wreath (≀) 34 35wreath (≀) 34wreath product see wr

WritingHand (b) 182wsuipa (package) 19 23 25 227

229 234 247wupperhand (c) 186

Xx (X) 122x (

˙˙) 188

XBox (4) 143

xbsol (⧹

) 49Xdvi 91 229X ELATEX 97 163 245X ETEX 24Xey ( ) 196xfrac (package) 126

xhookleftarrow (larrminus˒ ) 116xhookleftarrow ( ) 92

xhookrightarrow ( minus˓rarr) 116xhookrightarrow ( ) 92Xi (Ξ) 97xi (120585) 97xiup (ξ) 98

xLeftarrow (lArr=) 116

xleftarrow (larrminus) 92 116

xleftharpoondown (minus) 116

xleftharpoonup (minus) 116

xLeftrightarrow (lArrrArr) 117


xleftrightarrow (larrrarr) 117

xleftrightarrow (larrrarr) 116xleftrightarrow ( ) 92

xleftrightharpoons (minusminus) 116

xleftswishingghost ( ) 118

xleftwitchonbroom (minusminusisin) 118


xlongequal (===) 117


xLongleftarrow (lArr==) 117

xlongleftarrow (larrminusminus) 117

xLongleftrightarrow (lArr==rArr) 117

xlongleftrightarrow (larrminusminusrarr) 117

xLongrightarrow (==rArr) 117

xlongrightarrow (minusminusrarr) 117

xmapsto (↦minusrarr) 116

xmapsto (↦minusrarr) 117xmapsto ( ) 92XML 244XQ () 134

xRightarrow (=rArr) 116

xrightarrow (minusrarr) 92 116

xrightharpoondown (minus) 116

xrightharpoonup (minus) 116

xrightleftharpoons (minusminus) 116


xrightswishingghost ( ) 118

xrightwitchonbroom (niminusminus) 118


Xs 143 144 182

xsol (⧸

) 49

XSolid () 143

XSolidBold ($) 143

XSolidBrush () 143xswordsdown (U) 182xswordsup (T) 182

xtofrom (minus==minus) 117

xtwoheadleftarrow (minusminusminus) 117

xtwoheadrightarrow (minusminusminus) 117

357

XY-pic 233

Y

Ydown () 32

Ydown (Ocirc) 35

yen see textyen

yen (yen) 126

yfonts (package) 128 129 247

yhmath (package) 112 113 115121 234 247

yin-yang symbols 182 196ndash198210ndash211

Yinyang (Y) 182

yinyang () 196

Yleft () 32

Yleft (Ouml) 35

yogh (x) 20

yogh (`) 19

Yright () 32

Yright (times) 35

Yu Billy 235

Yup () 32

Yup (Otilde) 35

Yup (⅄) 101

ZZA (A) 134Zapf Chancery (font) 128Zapf Dingbats (font) 139 144ZB (B) 134Zbar (Ƶ) 101Zborder (Z) 152Zboson (otilde) 138ZC (C) 134zcmp (⨟) 126ZD (D) 134ZE (E) 134Zeta (Z) 97zeta (120577) 97zetaup (ζ) 98Zeus (uuml) 133ZF (F) 134ZG (G) 134ZH (H) 134ZI (I) 134ZJ (J) 134ZK (K) 134ZL (L) 134ZM (M) 134ZN (N) 134

ZO (O) 134Zodiac 132zodiacal symbols 131ndash133

206ndash209ZP (P) 134zpipe (⨠) 126zproject (⨡) 126ZQ (Q) 134ZR (R) 134ZS (S) 134ZT (T) 134

Ztransf ( ) 64Ztransf (Iacute) 60

ztransf ( ) 64ztransf (Igrave) 60ZU (U) 134zugzwang (D) 186ZV (V) 134ZW (W) 134

Zwdr ( ˇ ldquo ) 165

ZwPa ( A ) 165ZX (X) 134ZY (Y) 134ZZ (Z) 134

358

Contents

Introduction

Document Usage

Frequently Requested Symbols

Body-text symbols

LaTeX2e Escapable ``Special Characters

Predefined LaTeX2e Text-mode Commands

LaTeX2e Commands Defined to Work in Both Math and Text Mode

AMS Commands Defined to Work in Both Math and Text Mode

Non-ASCII Letters (Excluding Accented Letters)

textgreek Upright Greek Letters

Letters Used to Typeset African Languages

Letters Used to Typeset Vietnamese

Punctuation Marks Not Found in OT1

pifont Decorative Punctuation Marks

tipa Phonetic Symbols

tipx Phonetic Symbols

wsuipa Phonetic Symbols

wasysym Phonetic Symbols

phonetic Phonetic Symbols

t4phonet Phonetic Symbols

semtrans Transliteration Symbols

Text-mode Accents

tipa Text-mode Accents

extraipa Text-mode Accents

wsuipa Text-mode Accents

phonetic Text-mode Accents

metre Text-mode Accents

t4phonet Text-mode Accents

arcs Text-mode Accents

semtrans Accents

ogonek Accents

combelow Accents

wsuipa Diacritics

textcomp Diacritics

marvosym Diacritics

textcomp Currency Symbols

marvosym Currency Symbols

fontawesome Currency Symbols

wasysym Currency Symbols

china2e Currency Symbols

teubner Currency Symbols

tfrupee Currency Symbols

eurosym Euro Signs

fourier Euro Signs

textcomp Legal Symbols

fontawesome Legal Symbols

cclicenses Creative Commons License Icons

ccicons Creative Commons License Icons

textcomp Old-style Numerals

Miscellaneous textcomp Symbols

Miscellaneous wasysym Text-mode Symbols

Mathematical symbols

Math-Mode Versions of Text Symbols

cmll Unary Operators

Binary Operators

AMS Binary Operators

stmaryrd Binary Operators

wasysym Binary Operators

txfontspxfonts Binary Operators

mathabx Binary Operators

MnSymbol Binary Operators

fdsymbol Binary Operators

boisik Binary Operators

stix Binary Operators

mathdesign Binary Operators

cmll Binary Operators

shuffle Binary Operators

ulsy Geometric Binary Operators

mathabx Geometric Binary Operators

MnSymbol Geometric Binary Operators

fdsymbol Geometric Binary Operators

boisik Geometric Binary Operators

stix Geometric Binary Operators

halloweenmath Halloween-Themed Math Operators

stix Small Integrals

stix Small Integrals with Explicit Slant

Variable-sized Math Operators

AMS Variable-sized Math Operators

stmaryrd Variable-sized Math Operators

wasysym Variable-sized Math Operators

mathabx Variable-sized Math Operators

txfontspxfonts Variable-sized Math Operators

esint Variable-sized Math Operators

bigints Variable-sized Math Operators

MnSymbol Variable-sized Math Operators

fdsymbol Variable-sized Math Operators

boisik Variable-sized Math Operators

stix Variable-sized Math Operators

stix Integrals with Explicit Slant

mathdesign Variable-sized Math Operators

prodint Variable-sized Math Operators

cmll Large Math Operators

Binary Relations

AMS Binary Relations

AMS Negated Binary Relations

stmaryrd Binary Relations

wasysym Binary Relations

txfontspxfonts Binary Relations

txfontspxfonts Negated Binary Relations

mathabx Binary Relations

mathabx Negated Binary Relations

MnSymbol Binary Relations

MnSymbol Negated Binary Relations

fdsymbol Binary Relations

fdsymbol Negated Binary Relations

boisik Binary Relations

boisik Negated Binary Relations

stix Binary Relations

stix Negated Binary Relations

mathtools Binary Relations

turnstile Binary Relations

trsym Binary Relations

trfsigns Binary Relations

cmll Binary Relations

colonequals Binary Relations

fourier Binary Relations

Subset and Superset Relations

AMS Subset and Superset Relations

stmaryrd Subset and Superset Relations

wasysym Subset and Superset Relations

txfontspxfonts Subset and Superset Relations

mathabx Subset and Superset Relations

MnSymbol Subset and Superset Relations

fdsymbol Subset and Superset Relations

boisik Subset and Superset Relations

stix Subset and Superset Relations

Inequalities

AMS Inequalities

wasysym Inequalities

txfontspxfonts Inequalities

mathabx Inequalities

MnSymbol Inequalities

fdsymbol Inequalities

boisik Inequalities

stix Inequalities

AMS Triangle Relations

stmaryrd Triangle Relations

mathabx Triangle Relations

MnSymbol Triangle Relations

fdsymbol Triangle Relations

boisik Triangle Relations

stix Triangle Relations

Arrows

Harpoons

textcomp Text-mode Arrows

AMS Arrows

AMS Negated Arrows

AMS Harpoons

stmaryrd Arrows

txfontspxfonts Arrows

mathabx Arrows

mathabx Negated Arrows

mathabx Harpoons

MnSymbol Arrows

MnSymbol Negated Arrows

MnSymbol Harpoons

MnSymbol Negated Harpoons

fdsymbol Arrows

fdsymbol Negated Arrows

fdsymbol Harpoons

fdsymbol Negated Harpoons

boisik Arrows

boisik Negated Arrows

boisik Harpoons

stix Arrows

stix Negated Arrows

stix Harpoons

harpoon Extensible Harpoons

chemarrow Arrows

fge Arrows

old-arrows Arrows

old-arrows Harpoons

esrelation Restrictions

MnSymbol Spoons

MnSymbol Pitchforks

MnSymbol Smiles and Frowns

fdsymbol Spoons

fdsymbol Pitchforks

fdsymbol Smiles and Frowns

ulsy Contradiction Symbols

Extension Characters

stmaryrd Extension Characters

txfontspxfonts Extension Characters

mathabx Extension Characters

stix Extension Characters

Log-like Symbols

AMS Log-like Symbols

china2e Number Sets

Greek Letters

AMS Greek Letters

txfontspxfonts Upright Greek Letters

upgreek Upright Greek Letters

fourier Variant Greek Letters

txfontspxfonts Variant Latin Letters

boisik Variant Greek Letters

boisik Variant Latin Letters

stix Variant Greek Letters

stix Transformed Greek Letters

AMS Hebrew Letters

MnSymbol Hebrew Letters

fdsymbol Hebrew Letters

boisik Hebrew Letters

stix Hebrew Letters

Letter-like Symbols

AMS Letter-like Symbols

txfontspxfonts Letter-like Symbols

mathabx Letter-like Symbols

MnSymbol Letter-like Symbols

fdsymbol Letter-like Symbols

boisik Letter-like Symbols

stix Letter-like Symbols

trfsigns Letter-like Symbols

mathdesign Letter-like Symbols

fge Letter-like Symbols

fourier Letter-like Symbols

cmll Letter-like Symbols

AMS Delimiters

stmaryrd Delimiters

mathabx Delimiters

boisik Delimiters

stix Delimiters

nath Delimiters

Variable-sized Delimiters

Large Variable-sized Delimiters

AMS Variable-sized Delimiters

stmaryrd Variable-sized Delimiters

mathabx Variable-sized Delimiters

MnSymbol Variable-sized Delimiters

fdsymbol Variable-sized Delimiters

stix Variable-sized Delimiters

mathdesign Variable-sized Delimiters

nath Variable-sized Delimiters (Double)

nath Variable-sized Delimiters (Triple)

fourier Variable-sized Delimiters

textcomp Text-mode Delimiters

metre Text-mode Delimiters

Math-mode Accents

AMS Math-mode Accents

MnSymbol Math-mode Accents

fdsymbol Math-mode Accents

boisik Math-mode Accents

stix Math-mode Accents

fge Math-mode Accents

yhmath Math-mode Accents

Extensible Accents

overrightarrow Extensible Accents

yhmath Extensible Accents

AMS Extensible Accents

MnSymbol Extensible Accents

fdsymbol Extensible Accents

stix Extensible Accents

mathtools Extensible Accents

mathabx Extensible Accents

fourier Extensible Accents

esvect Extensible Accents

abraces Extensible Accents

undertilde Extensible Accents

ushort Extensible Accents

mdwmath Extensible Accents

actuarialangle Extensible Accents

AMS Extensible Arrows

mathtools Extensible Arrows

chemarr Extensible Arrows

chemarrow Extensible Arrows

extarrows Extensible Arrows

extpfeil Extensible Arrows

DotArrow Extensible Arrows

halloweenmath Extensible Arrows

trfsigns Extensible Transform Symbols

esrelation Extensible Relations

halloweenmath Extensible Witches

halloweenmath Extensible Ghosts

holtpolt Non-commutative Division Symbols

Dots

AMS Dots

wasysym Dots

MnSymbol Dots

fdsymbol Dots

stix Dots

mathdots Dots

yhmath Dots

teubner Dots

begriff Begriffsschrift Symbols

frege Begriffsschrift Symbols

mathcomp Math Symbols

marvosym Math Symbols

marvosym Digits

fge Digits

dozenal Base-12 Digits

mathabx Mayan Digits

stix Infinities

stix Primes

stix Empty Sets

AMS Angles

MnSymbol Angles

fdsymbol Angles

boisik Angles

stix Angles

Miscellaneous LaTeX2e Math Symbols

Miscellaneous AMS Math Symbols

Miscellaneous wasysym Math Symbols

Miscellaneous txfontspxfonts Math Symbols

Miscellaneous mathabx Math Symbols

Miscellaneous MnSymbol Math Symbols

Miscellaneous Internal MnSymbol Math Symbols

Miscellaneous fdsymbol Math Symbols

Miscellaneous boisik Math Symbols

Miscellaneous stix Math Symbols

Miscellaneous textcomp Text-mode Math Symbols

Miscellaneous fge Math Symbols

Miscellaneous mathdesign Math Symbols

Math Alphabets

Science and technology symbols

gensymb Symbols Defined to Work in Both Math and Text Mode

wasysym Electrical and Physical Symbols

ifsym Pulse Diagram Symbols

ar Aspect Ratio Symbol

textcomp Text-mode Science and Engineering Symbols

steinmetz Extensible Phasor Symbol

emf Electromotive Force Symbols

wasysym Astronomical Symbols

marvosym Astronomical Symbols

fontawesome Astronomical Symbols

mathabx Astronomical Symbols

stix Astronomical Symbols

starfont Astronomical Symbols

wasysym APL Symbols

stix APL Symbols

apl APL Symbols

marvosym Computer Hardware Symbols

keystroke Computer Keys

ascii Control Characters (CP437)

logic Logic Gates

marvosym Communication Symbols

marvosym Engineering Symbols

wasysym Biological Symbols

stix Biological Symbols

marvosym Biological Symbols

fontawesome Biological Symbols

marvosym Safety-related Symbols

feyn Feynman Diagram Symbols

svrsymbols Physics Ideograms

Dingbats

bbding Arrows

pifont Arrows

adfsymbols Arrows

adforn Arrows

arev Arrows

fontawesome Arrows

fontawesome Chevrons

marvosym Scissors

bbding Scissors

pifont Scissors

dingbat Pencils

arev Pencils

fontawesome Pencils

bbding Pencils and Nibs

pifont Pencils and Nibs

dingbat Fists

bbding Fists

pifont Fists

fourier Fists

arev Fists

fontawesome Fists

bbding Crosses and Plusses

pifont Crosses and Plusses

adfsymbols Crosses and Plusses

arev Crosses

bbding Xs and Check Marks

pifont Xs and Check Marks

wasysym Xs and Check Marks

marvosym Xs and Check Marks

arev Xs and Check Marks

fontawesome Xs and Check Marks

pifont Circled Numerals

wasysym Stars

bbding Stars Flowers and Similar Shapes

pifont Stars Flowers and Similar Shapes

adfsymbols Stars Flowers and Similar Shapes

adforn Stars

fontawesome Stars

fourier Fleurons and Flowers

adforn Fleurons and Flowers

wasysym Geometric Shapes

MnSymbol Geometric Shapes

fdsymbol Geometric Shapes

boisik Geometric Shapes

stix Geometric Shapes

ifsym Geometric Shapes

bbding Geometric Shapes

pifont Geometric Shapes

universa Geometric Shapes

adfsymbols Geometric Shapes

fontawesome Geometric Shapes

LaTeX2e Playing-Card Suits

txfontspxfonts Playing-Card Suits

MnSymbol Playing-Card Suits

fdsymbol Playing-Card Suits

boisik Playing-Card Suits

stix Playing-Card Suits

arev Playing-Card Suits

adforn Flourishes

Miscellaneous dingbat Dingbats

Miscellaneous bbding Dingbats

Miscellaneous pifont Dingbats

Miscellaneous adforn Dingbats

Ancient languages

phaistos Symbols from the Phaistos Disk

protosem Proto-Semitic Characters

hieroglf Hieroglyphics

linearA Linear A Script

linearb Linear B Basic and Optional Letters

linearb Linear B Numerals

linearb Linear B Weights and Measures

linearb Linear B Ideograms

linearb Unidentified Linear B Symbols

cypriot Cypriot Letters

sarabian South Arabian Letters

teubner Archaic Greek Letters and Greek Numerals

boisik Archaic Greek Letters and Greek Numerals

epiolmec Epi-Olmec Script

epiolmec Epi-Olmec Numerals

allrunes Runes

allrunes Rune Separators

Musical symbols

LaTeX2e Musical Symbols

textcomp Musical Symbols

wasysym Musical Symbols

MnSymbol Musical Symbols

fdsymbol Musical Symbols

boisik Musical Symbols

stix Musical Symbols

arev Musical Symbols

MusiXTeX Musical Symbols

MusiXTeX Alternative Clefs

harmony Musical Symbols

harmony Musical Accents

LilyGlyphs Single Notes

LilyGlyphs Beamed Notes

LilyGlyphs Clefs

LilyGlyphs Time Signatures

LilyGlyphs Accidentals

LilyGlyphs Rests

LilyGlyphs Dynamics Letters

LilyGlyphs Dynamics Symbols

LilyGlyphs Articulations

LilyGlyphs Scripts

LilyGlyphs Accordion Notation

LilyGlyphs Named Time Signatures

LilyGlyphs Named Scripts

LilyGlyphs Named Rests

LilyGlyphs Named Pedals

LilyGlyphs Named Flags

LilyGlyphs Named Custodes

LilyGlyphs Named Clefs

LilyGlyphs Named Noteheads

LilyGlyphs Named Accordion Symbols

LilyGlyphs Named Accidentals

LilyGlyphs Named Arrowheads

LilyGlyphs Named Alphanumerics and Punctuation

Miscellaneous LilyGlyphs Named Musical Symbols

Other symbols

textcomp Genealogical Symbols

wasysym General Symbols

manfnt Dangerous Bend Symbols

Miscellaneous manfnt Symbols

marvosym Media Control Symbols

marvosym Laundry Symbols

marvosym Information Symbols

Other marvosym Symbols

Miscellaneous universa Symbols

Miscellaneous fourier Symbols

ifsym Weather Symbols

ifsym Alpine Symbols

ifsym Clocks

Other ifsym Symbols

clock Clocks

epsdice Dice

hhcount Dice

stix Dice

bullcntr Tally Markers

hhcount Tally Markers

dozenal Tally Markers

skull Symbols

Non-Mathematical mathabx Symbols

skak Chess Informator Symbols

skak Chess Pieces and Chessboard Squares

igo Go Symbols

go Go Symbols

metre Metrical Symbols

metre Small and Large Metrical Symbols

teubner Metrical Symbols

dictsym Dictionary Symbols

simpsons Characters from The Simpsons

pmboxdraw Box-Drawing Symbols

staves Magical Staves

pigpen Cipher Symbols

china2e Phases of the Moon

china2e Recycling Symbols

marvosym Recycling Symbols

recycle Recycling Symbols

Other china2e Symbols

soyombo Soyombo Symbols

knitting Knitting Symbols

CountriesOfEurope Country Maps

Miscellaneous arev Symbols

cookingsymbols Cooking Symbols

tikzsymbols Cooking Symbols

tikzsymbols Emoticons

tikzsymbols 3D Emoticons

tikzsymbols Trees

Miscellaneous tikzsymbols Symbols

Miscellaneous bclogo Symbols

fontawesome Web-Related Icons

rubikcube Rubiks Cube Rotations

Fonts with minimal LaTeX support

hands Fists

greenpoint Recycling Symbols

nkarta Map Symbols

moonphase Astronomical Symbols

astrosym Astronomical Symbols

webomints Decorative Borders

umranda Decorative Borders

umrandb Decorative Borders

dingbat Decorative Borders

knot Celtic Knots

dancers Dancing Men

semaphor Semaphore Alphabet

cryst Crystallography Symbols

dice Dice

magic Trading Card Symbols

bartel-chess-fonts Chess Pieces and Chessboard Squares

Additional Information

Symbol Name Clashes

Resizing symbols

Where can I find the symbol for hellip

Math-mode spacing

Bold mathematical symbols

ASCII and Latin 1 quick reference

Unicode characters

About this document

Copyright and license

References

Index

Symbols

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

Table 24 t4phonet Text-mode Accents 24Table 25 arcs Text-mode Accents 24Table 26 semtrans Accents 24Table 27 ogonek Accents 24Table 28 combelow Accents 25Table 29 wsuipa Diacritics 25Table 30 textcomp Diacritics 25Table 31 marvosym Diacritics 25Table 32 textcomp Currency Symbols 26Table 33 marvosym Currency Symbols 26Table 34 fontawesome Currency Symbols 26Table 35 wasysym Currency Symbols 26Table 36 ChinA2e Currency Symbols 26Table 37 teubner Currency Symbols 27Table 38 tfrupee Currency Symbols 27Table 39 eurosym Euro Signs 27Table 40 fourier Euro Signs 27Table 41 textcomp Legal Symbols 27Table 42 fontawesome Legal Symbols 27Table 43 cclicenses Creative Commons License Icons 28Table 44 ccicons Creative Commons License Icons 28Table 45 textcomp Old-style Numerals 28Table 46 Miscellaneous textcomp Symbols 28Table 47 Miscellaneous wasysym Text-mode Symbols 28

3 Mathematical symbols 30Table 48 Math-Mode Versions of Text Symbols 30Table 49 cmll Unary Operators 30Table 50 Binary Operators 31Table 51 119964ℳ119982 Binary Operators 31Table 52 stmaryrd Binary Operators 32Table 53 wasysym Binary Operators 32Table 54 txfontspxfonts Binary Operators 32Table 55 mathabx Binary Operators 33Table 56 MnSymbol Binary Operators 33Table 57 fdsymbol Binary Operators 34Table 58 boisik Binary Operators 35Table 59 stix Binary Operators 36Table 60 mathdesign Binary Operators 37Table 61 cmll Binary Operators 37Table 62 shuffle Binary Operators 37Table 63 ulsy Geometric Binary Operators 37Table 64 mathabx Geometric Binary Operators 37Table 65 MnSymbol Geometric Binary Operators 38Table 66 fdsymbol Geometric Binary Operators 38Table 67 boisik Geometric Binary Operators 39Table 68 stix Geometric Binary Operators 40Table 69 halloweenmath Halloween-Themed Math Operators 40Table 70 stix Small Integrals 41Table 71 stix Small Integrals with Explicit Slant 41Table 72 Variable-sized Math Operators 42Table 73 119964ℳ119982 Variable-sized Math Operators 42Table 74 stmaryrd Variable-sized Math Operators 42Table 75 wasysym Variable-sized Math Operators 43

2


3


4


5


6




7


8

















9













10




References 249

Index 250

11

1 Introduction






11 Document Usage








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e 26


permil 28 44

there4 52

12

B and F 53

and amp 67

120


ℒ ℱ etc 128

N Z R etc 128

r 128

minusint

232




13

2 Body-text symbols



$ $ _ amp amp





















gt textgreater




14















15

































16








































17









































18

















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19


D DH k dh l openo







vod
















˒ Alif ˓ Ayn

20




Aa Aa Amacr

amacr





















21




















Arsaquo

arsaquo


Aldquo

aldquo


Amacr

amacr



Aˆ

aˆ


A˙a˙


Alsaquo

alsaquo





A˚

a˚



A˜

a˜


Auml

auml



Aˇ

aˇ



Aa



22





rdquoArdquo


ŔA



â^



amacr



a



sublptrAsublptra




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whistleAwhistlea






Aa


a˜

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Aa acutusAacutusa

Aa breveAbrevea



Aa gravisAgravisa

Aa macronAmacrona







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underarcAunderarca



rdquo when ldquoA

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expected)


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27


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C ccsa

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28

29















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30






















31























LHD B rhd E unlhd





32









































33




































34




























35











































36









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odplus














a boxminus d odot


37








































38









































39






























infin

119894=0

119891(119909)

in display mode


40








































41



⨂⨂bigotimes

⋀ ⋀bigwedge


bigcup⨆ ⨆

bigsqcup∐∐

coprodsumsum

sum⨀⨀bigodot

⨄ ⨄biguplus

int intint⨁⨁

bigoplus⋁ ⋁

bigvee∮ ∮

oint


intint intintiint





intidotsint


embigbox

g obiginterleave

bigsqcap

bjbigcurlyvee

bignplus

`hbigtriangledown

ckbigcurlywedge

f nbigparallel

aibigtriangleup

42


r wint

sxiint

tyiiint

u zoint

voiint






Ĳ

ň

bigcurlyveeYacute

yacute

bigboxslashEacute

eacute

bigoright

Ű

ę

bigsqcapOgrave

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bigboxtimesIacute

iacute

bigoslash

Ż

ń

bigcurlywedgeUacute

uacute

bigboxtopEcirc

ecirc

bigotop

Ouml

ouml

bigboxasteriskszlig

szlig


iuml

bigotriangleup

THORN

thorn

bigboxbackslashUuml

uuml

bigboxvoidIgrave

igrave

bigovoid

Ucirc

ucirc

bigboxbotŠ

ć

bigcomplementopŘ

ă

bigplus

Otilde

otilde

bigboxcircAElig

aelig

bigoasteriskŸ

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bigsquplus

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icirc

bigobackslashŚ

ą

bigtimes

Oacute

oacute

bigboxdivEuml

euml

bigobotţ

iexcl

iiint

Ocirc

ocirc

bigboxdotAring

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bigocircť

ĳ

iint


43


Oslash

oslash

bigboxleftCcedil

ccedil

bigocoasteriskş

ż

int

Ntilde

ntilde

bigboxminusAtilde

atilde

bigodivů

pound

oiint

ETH

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bigboxplusEgrave

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bigoleftű

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oint

Ugrave

ugrave

bigboxrightAacute

aacute

bigominus


bigsqcapplus

13ointclockwise

bigsqcupplus

ointctrclockwise

gt fint

R Ssqiiint

(idotsint

P Qsqiint

ampiiiint

sqint

$iiint


iint


L Moiiintclockwise




) oiiint

- varointclockwise


44


H Ioiintclockwise


Aoiintctrclockwise

varprod

oiint


macr ˙dotsint

ı ointclockwise

ffl fint


ˇ ˘iiiint

rdquo bdquosqiint

˝ ˚iiint

rsaquo ldquosqint

˜ umliint

varoiint

amplanddownint


$landupint


sbquo lsaquooiint

45



bigints


bigintss


bigintsss∮ ∮

bigointsss

int intbigintssss

∮ ∮bigointssss
















46
























47










intup





⅀ ⅀

Bbbsum⨈ ⨈


⋂ ⋂


⋃ ⋃




⨃ ⨃


⨀ ⨀


prod

⨁ ⨁


⨂ ⨂


⨅ ⨅


⨆ ⨆


sum

⫿ ⫿


⨉ ⨉


⨄ ⨄


⋁ ⋁


xbsol

⋀ ⋀


xsol


modtwosum

⨇ ⨇



49





















50













intclockwise

ointclockwise

oiiint

ointctrclockwise

oiint


int

) Garamond (int

) and

Charter (int

)

51





˙bigparr

˘bigwith
























52







nshortmid 0 nvdash


A inplus B niplus



Z Join logof
















h eqsim [ openJoin


53








nequiv nsucceqq






























54









































55
































56




























57



































58















































59







































not nparallel nsucc

nprec nsucceq

60


















































61




























≢ nequiv ≁ nsim






= Coloneqq dblcolon




62


119886119887119888



119886119887119888

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119889119890119891ndtstileabcdef 119886119887119888


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63





dfourier

Dfourier

fourier Fourier



uml coh ˝ scoh

˚ incoh ˇ sincoh


˛ multimapboth















64












sqsubset A sqsupset


















65

































66





































67


apprge gt apprle




















68























69






























≦ leqq pound nggg









70

































71























⩺ gtcir ≨ lneqq










72























73


































74

Table 138 Arrows













nabla middot rdquo)

Table 139 Harpoons


















75







































76













































77




























78


















































79



















80










































81


















































82












































83


















































84






























85


barleftarrow Lsh




























leftarrowtail Rsh

















linefeed upuparrows



86



































87






































Ldsh Rrightarrow

larr leftarrow Rsh













88




























⟻ longmapsfrom



89











































90











A chemarrow



91













Requires stmaryrd








92























93
























nsmile smile

















94



























95




mapstochar rhook















96


120572 alpha 120579 theta 119900 o 120591 tau







120578 eta 120585 xi























97



























π pi ρ rho

$ varpi varrho


98








varg














99



























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100





















e e j im


isin in 3 owns

6isin notin smallin


notsmallowns


101





















z llcorner lrcorner




102











niv vin



dArr Downarrow [[

[ ]]

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⟨⟨

langle ⟩⟩

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((

( ))

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backslash



103


⎧⎩ ⎧⎪⎪⎪⎪⎩ lgroup⎫⎭ ⎫⎪⎪⎪⎪⎭ rgroup





|

lvert |

rvert

lVert

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~

llbracket

rrbracket


v

1

ldbrack w

9

rdbrack

7

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lfilet

rfilet

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ffl

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fflthickvert ~

vvvert

104


XXXXXXXXX Arrowvert







lfloor⎫⎪⎭



⎧⎪⎩⎧⎪⎪⎪⎪⎩ lgroup


[⎡⎢⎢⎢⎢⎣


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rsem

( ( (⎧⎪⎭


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) ) ) lrcorner^ ^

^ rwavy

⟦LPPPPN

lsem ulcorner

⟨ ⟨ lt^ ^


⟩ ⟩ gt___





rbrace


105



darr



dArr



















⎫⎪⎭⎫⎪⎪⎪⎪⎭ rgroup ∥

∥∥∥∥∥∥ Vert


106


( ( lparen⎫⎪⎩





Arrowvert ⟪

⟪

lAngle rceil

rceil

rceil

arrowvert

lbrace rfloor

rfloor

rfloor

∖

backslash ⦃

⦃

lBrace ⟯

⎧

⎪

⎩

rgroup

⤋⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤋

Ddownarrow ⟦

⟦

lBrack ⎱

⎫

⎪

⎩

rmoustache

⟱⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟱

DDownarrow ❲

❲

lbrbrak ⦆

⦆

rParen

darrdarr

downarrow lceil

lceil

lceil uarruarr

uparrow


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lfloor


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[

[

[ ⟮

⎫

⎪

⎭


Updownarrow

]

]

] ⎰

⎧

⎪

⎭

lmoustache uarrdarr

updownarrow



(

(

( ⦅

⦅

lParen ⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊

Uuparrow

)

)

) ⟫

⟫

rAngle ⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰

UUparrow

∕

⟩

⟩

rangle

Vert

⟨

⟨

lt

rbrace |

|

|

|

|

|

|

vert

⟩

⟩

gt ⦄

⦄

rBrace ⦀

⦀

⦀

⦀

⦀

⦀

⦀

Vvert

|

|

|

|

|

|

|

| ⟧

⟧

rBrack

⟨

⟨

langle ❳

❳

rbrbrak


ETH

ETH

ETH

ETH

ETH

leftwave ETH

ETH

ETH

ETH

ETH

rightwave

Ntilde

Ntilde

Ntilde

Ntilde

Ntilde

leftevaw Ntilde

Ntilde

Ntilde

Ntilde

Ntilde

rightevaw


108


⟨⟨⟨⟨

lAngle ⟩⟩⟩⟩

rAngle

[[[[

lBrack ]]]]

rBrack



rCeil



rFloor

||

lVert ||

rVert




⟨⟨⟨⟨⟨⟨


triplegt

[[[[[[

triple[ ]]]]]]

triple]

|||

ltriple| |||

rtriple|




llbracket

rrbracket

VERT

109


















119886 ddddota




119886 )

110


a veca






a veca


a acutea a hata







a ddddota a ovhooka


a ddota a tildea

a dota a veca


a gravea


Andash



111


ringa
















radic119886119887119888 rdquo


112



˚119886119887119888 wideringabc





abclaquo















113



⏞⏞⏞119886119887119888 overbraceabc 119886119887119888

underleftarrowabc

119886119887119888 overbracketabc 119886119887119888

underleftharpoonabc




underparenabc







119886119887119888⏟⏟⏟

underbraceabc







119886119887119888loomoon


119886119887119888loooon




114





rdquo













119886119887119888 utildeabc


115






















116


abcDGGGGGGG


abcGGGGGGGA


abcEGGGGGGGGGGGGGGC


abcGGGGGGGBFGGGGGGG







119886119887119888==== xlongequalabc





119886119887119888==== xlongequalabc







117




minusrarr119886119887119888 vs




119886119887119888dftabc

119886119887119888DFTabc
















119886119887119888


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119886119887119888


119886119887119888







118


119886119887119888119889119890119891

holterabcdef119886119887119888119889119890119891

polterabcdef

Table 269 Dots





Table 270 119964ℳ119982 Dots



dotsc dotso





119







fivedots udotdot








hdotdot udotdot


Table 274 stix Dots







ddots

iddots vdots


120


adots


antilabe



119887119886











121















X x E e










trprime backtrprime

qprime

122































123





surd





















124
































125




































126


∟ rightangle

127
















128






129





deg degree Ω ohm















A AR



130


119886119887119888 phaseabc




















131











| faMercury faSunO









132












K Fortune









2 DSC 4 IC Vertex











133






























134


SOH BS SI SYN GS

STX HT DLE ETB RS

ETX LF DCa CAN US

EOT VT DCb EM

ENQ FF DCc SUB

ACK - CR DCd ESC

BEL SO NAK FS




ANDd BUFu NANDl ORd


ANDr INVd NANDu ORr

ANDu INVl NORd ORu

BUFd INVr NORl

BUFl INVu 13 NORr

BUFr NANDd NORu


135













female male


female male















136

































137























138

5 Dingbats
















139























arrowbullet











140


















pencil








141














pointright








142













eastcross westcross












143


ballotcheck ballotx





















144





































145
































146



























147


















































148






































149
































150




















151

























152

6 Ancient languages




























153


A HA I HI n Hn T HT

a Ha i Hi O HO t Ht









E HE L HL R HR X HX

f Hf l Hl r Hr x Hx

F HF m Hm s Hs Y HY

G HG M HM S HS y Hy



H HH N HN Σ Hsv
















154




















































155










































156





























157































158





















159































160
































161























162

7 Musical symbols






textmusicalnote














163


R allabreveffl

lsf W shake

K altoclefndash

lsfz X Shake














A hs n Segno 8 wq



164















Aaaa


Aaaa


Alal KrAKra








165


eighthNote


eighthNoteDottedC


copy sixteenthNote



eighthNoteDown



u halfNoteDotted

sixteenthNoteDown


thirtysecondNoteuu











C crotchetu


minimDown



quaverDotted

ucrotchetDottedDown

quaverDottedDouble

CcrotchetDown


Z

demisemiquaver

quaverDottedDown

Z


quaverDown

Z


copy semiquaverZ



u minimDotted




semiquaverDown

166






clefC clefF clefG









flat sharpArrowup





167













lilyRF lilyRFZ










fermata





168










































169






























lilyGlyphrests4






lilyGlyphpedale

170

































171




























172

















































173



















































174




















































175




















































176


















































177

































178



































179






180

8 Other symbols



























181

































182




























Cube1 Cube3 Cube5

Cube2 Cube4 Cube6



183



0 i i01 i1 i102 i2 i203 i3 i30










Table 470 stix Dice

dicei diceiii dicev


184





∙ ∙∙∙ bullcntr⟨6 ⟩ ∙∙∙




newcounterbull


setcounterbull1

bullcntrbull


small large heart


∙ ∙∙ ∙∙∙ ∙




fcscore2 fcscore4





185


A skull


O rip



















186
























187












times

amacr

bBm cc ˘ Mbb ˙˙

Pppp otimes

t

˘ Bmacr


˙pppp tsbm

˘ bmacr

Bbmmacr

m ∘∘ oo ˙˙

Ppppp tsmb

˘ Bb ˘ bbmbmacr

M˙

p ˙˙

ppppp tsmm

˘ BBmacr ˘


pm psmacr

vppm

˘ bbmacr


vpppm

˘ bBmacr



ppm sim

R


ppp sim

r


˙Ppp otimes

T







188

















Homer Maggie SNPP

Burns

Lisa

Marge


LeftBart

189



























190































191


uml Greenpoint




A recycleA Recycle

A RECYCLE






Postbox Telephone

192



























193



Finland Portugal

France Romania


194







Italy




195

























196






















197












bcstop








bcdz bcours

bceclaircie bcoutil


198


















































199




















































200




















































201










































202













203



usepackagepifont



usepackagepifont






















204


















































205































206








































207









































208







































209
































210


































211



































212






















213






































214






































215





































216


























217



































218



































219






































220





































221















































222

Table 519 dice Dice












s[4] dice3d



223





































224











































225















226

Table

522

Sym

bol

Nam

eC

lash

es

Sym

bol

LAT

EX

2 120576119964ℳ119982

stmaryrd

wasysym

mathabx

marvosym

bbding

ifsym

dingb

atwsuipa

baro

lt

bigtriangledown

`

bigtriangleup

a

checkmark

XD

Circle

5

Cross

ggg

≫Iuml

Letter

B

lightning

Lightning

E

lll

≪Icirc

Square

f

0Sun

Agrave

TriangleDown

o3

TriangleUp

n1

227



R R Rtextrecipe



⎫⎪⎪⎪⎪⎪⎪⎪⎬⎪⎪⎪⎪⎪⎪⎪⎭


⎮⎮⎮⎮

⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮uarr

⎫⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎬⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎭

minusrarr

⎫ top


⎬ middle


⎭ bottom


228







newcommandtextlongs











229


















by Peter Flynn


raisebox-5ex


begintabularcc


endtabular




230




newcommandthreesim






makeatletter




makeatother



newcommandsuchthat



newcommandrqm



231




vs







topbotatomtextstyle




defXint1mathchoice





int



defddashintXint=

defdashintXint-



one (ldquo=int








232














advancedimen0-02ht0


box0lower04ptbox2



(ldquordquo)9





makeatletter





makeatother




233







makeatletter




makeatother








119891 rdquo and







makeatletter



mkern-7mumathord=$

makeatother


234


definition=======




defarraystretch0





cline2-2

rule[125pt]0ptht0

1 amp 2

endarray



makeatletter






















makeatother


235






119860119861119862119863










236











lower



endcharend


237





1

2

3

4

5

6677

8






∖table

∖bye[1]





238


0 1 2 3 4 5 6 710x A

˝4x11x

˝8 ˝9 ˝A ˝B ˝C ˝D ˝E ˝F












239





















240


Package Code Output





33 21

34 22 textquotedbl

35 23

36 24 $ $ $

37 25

38 26 amp amp amp


40 28 ( ( (

41 29 ) ) )

42 2A

43 2B + + +

44 2C

45 2D - - -

46 2E

47 2F

48 30 0 0 0

49 31 1 1 1

50 32 2 2 2

57 39 9 9 9

58 3A

59 3B


61 3D = = =



63 3F

64 40

65 41 A A A

66 42 B B B

67 43 C C C

90 5A Z Z Z

91 5B [ [ [


93 5D ] ] ]

94 5E ^ ^ ^

95 5F _ charlsquo_


97 61 a a a

98 62 b b b

99 63 c c c

122 7A z z z

123 7B charlsquo

124 7C | textbar |

125 7D charlsquo

126 7E ˜ ~ ~




241


















242



161 A1 iexcl lsquo









184 B8 cedil c



192 C0 A lsquoA

193 C1 A rsquoA

194 C2 A Â

195 C3 A ~A

196 C4 A A

197 C5 A AA

198 C6 AElig AE

199 C7 C cC

200 C8 E lsquoE

201 C9 E rsquoE

202 CA E Ê

203 CB E E

204 CC I lsquoI

205 CD I rsquoI

206 CE I Î

207 CF I I

208 D0 ETH DH (T1)


209 D1 N ~N

210 D2 O lsquoO

211 D3 O rsquoO

212 D4 O Ô

213 D5 O ~O

214 D6 O O


217 D9 U lsquoU

218 DA U rsquoU

219 DB U Û

220 DC U U

221 DD Y rsquoY


224 E0 a lsquoa

225 E1 a rsquoa

226 E2 a â

227 E3 a ~a

228 E4 a a

229 E5 a aa

230 E6 aelig ae

231 E7 c cc

232 E8 e lsquoe

233 E9 e rsquoe

234 EA e ê

235 EB e e

236 EC ı lsquoı

237 ED ı rsquoı

238 EE ı ^ı

239 EF ı ı

240 F0 eth dh (T1)241 F1 n ~n

242 F2 o lsquoo

243 F3 o rsquoo

244 F4 o ô

245 F5 o ~o

246 F6 o o


249 F9 u lsquou

250 FA u rsquou

251 FB u û

252 FC u u

253 FD y rsquoy


243


Microsoftreg Windowsreg normally uses a superset of Latin 1 called ldquoCode Page 1252rdquo or ldquoCP1252rdquo forshort CP1252 introduces symbols in the Latin 1 ldquoinvalidrdquo range (characters 128ndash159) Table 531 presentsthe characters with which CP1252 augments the standard Latin 1 table





134 86 dagger dag

135 87 Dagger ddag




142 8E Z vZ


145 91 lsquo lsquo

146 92 rsquo rsquo




150 96 ndash --

151 97 mdash ---



154 9A s vs


158 9E z vz

159 9F Y Y










244





usepackageucs


usepackagetextcomp


begindocument


which produces

It was a balmy 21






usepackagefontspec




245

begindocument



enddocument

which produces














246











247











248

References




bask4 4ps












249

Index




( (() 105

( (

(

) 108

) ()) 103

) ()) 105

) (

)

) 108

() 33 240- (-) 243 244 (a) 21 () 103

() 105

(

) 108

( ) 121

() 121

lt (⟨) 105

lt (

⟨

) 108

() 121

[ ([) 103

[ (⎡⎢⎢⎢⎢⎣) 105

[ (

[

) 107

231] (]) 103

] (⎤⎥⎥⎥⎥⎦) 105

] (

]

) 107

^ (a) 21

^ (^) 14 242| () 103| () 103 105| (iquesta) 21= (a) 21= (macr) 242| (∣) 107

| (

RRRRRR) 105

| (

|

|

|

|

|

|

) 108| (|) 52 103 105 109( (() 107) ()) 107 () 107[ ([) 107_ 15_ ( ) 14 242 () 14 15 103 () 242 () 14 15 103 () 242] (]) 107lsquo (a) 21~ (a) 21~ (˜) 14 242


) 188a (a) 162





rvert












250










AchtBL ( ˇ ldquo==

) 165








adfbullet1 (A) 145

adfbullet2 (B) 145

adfbullet3 (C) 145

adfbullet4 (D) 143

adfbullet5 (E) 143

adfbullet6 (F) 143

adfbullet7 (G) 143

adfbullet8 (H) 143

adfbullet9 (I) 143

adfbullet10 (J) 143

adfbullet11 (K) 145

adfbullet12 (L) 145

adfbullet13 (M) 145

adfbullet14 (N) 145

adfbullet15 (O) 145

adfbullet16 (P) 145

adfbullet17 (Q) 145

adfbullet18 (R) 145

adfbullet19 (S) 145

adfbullet20 (T) 145

adfbullet21 (U) 145

adfbullet22 (V) 145

adfbullet23 (W) 145

adfbullet24 (X) 145

adfbullet25 (Y) 145

adfbullet26 (Z) 145

adfbullet27 (a) 150

adfbullet28 (b) 150

adfbullet29 (c) 150

adfbullet30 (d) 150

adfbullet31 (e) 150

adfbullet32 (f) 150

adfbullet33 (g) 150

adfbullet34 (h) 150

adfbullet41 (o) 150

adfbullet42 (p) 150

adfbullet43 (q) 150

adfbullet44 (r) 150

adfbullet45 (s) 150

adfbullet46 (t) 150

adfbullet47 (u) 150

adfbullet48 (v) 150

adfbullet49 (w) 150

adfbullet50 (x) 150

adfbullet51 (y) 150

adfbullet52 (z) 150



adfdiamond (=) 152




(I) 152

251


(i) 152







(L) 146


(m) 146


(M) 146




(N) 146








(f) 152



adfgee (para) 152















adfleafleft (w) 146





adforn (package) 140 145 146152 247 248














adots ( ) 121 234



Alad () 110







and |

AltGr ( AltGr ) 134


119964ℳ119982 (package) 12 15 3142 52 53 65 67 72 7576 92 96 97 99 100 102104 110 113 116 119 123124 129 226 227 246


230 240

252

amssymb (package) 12 110 124128 159 247



162and see wedge

AND gates 135

ANDd () 135


ANDr () 135


Angstrom (Å) 101


text mode see AA





aoverbrace (⏞ ⏟

) 115Ape (p) 153APL

















253

Arrowvert (

) 104

Arrowvert (

XXXXXX) 105


) 107


arrowvert (

RRRRRR) 105

arrowvert () 107















Austria () 194



(EGGGGGGGGGGC) 117



(GGGGGBFGGGGG) 117




macr) 21

b (˘) 188b (b) 162



backslash () 106

backslash () 105

backslash (∖) 126

backslash (

) 107


Baii () 157




254







Bart (




BasicTree 197



bauforms (Ξ) 182

bauhead (Λ) 182

bausquare (Γ) 150


BB (˘ ) 188

Bb (˘ ) 188

bB (˘ ) 188

bb (˘ ) 188

bba ( times) 188

bbalpha () 129

bbar () 230

bbb (˘) 188

bbbeta () 129

Bbbk (k) 100

Bbbk (k) 101

Bbbk (k) 101

Bbbsum (⅀

) 48


bbdollar ($) 129

bbetter (g) 186

bbeuro (ucirc) 129


bbgamma (13) 129


BBm (macr

) 188

Bbm (macr

) 188

bBm (macr

) 188


bbm (macr

) 188

bbmb ( ˘) 188

bbmx (macr ˘

) 188

bbnabla () 129


bbpe (Ocirc) 129

bbqof (times) 129

bbrevis (ς) 189

bbrktbrk () 126

bbslash (13) 32

bbslash (=) 35

bbyod (Eacute) 129

bcattention ( ) 197

bcbombe ( ) 197

bcbook ( ) 197


bccle ( ) 198

bcclefa ( ) 198

bcclesol ( ) 198

bccoeur ( ) 198

bccrayon ( ) 198

bccube ( ) 198


bcdanger ( ) 198

bcdautriche ( ) 198

bcdbelgique ( ) 198

bcdbulgarie ( ) 198

bcdfrance ( ) 198

bcditalie ( ) 198



bcdpaysbas ( ) 198

bcdz ( ) 198

bceclaircie ( ) 198

bcetoile ( ) 197

bcfemme ( ) 197

bcfeujaune ( ) 197

bcfeurouge ( ) 198


bcfeuvert ( ) 198

bcfleur ( ) 198

bchomme ( ) 198

bchorloge ( ) 198

bcicosaedre ( ) 198

bcinfo ( ) 198

bcinterdit ( ) 198

bclampe ( ) 198

255


bcloupe ( ) 198

bcneige ( ) 198

bcnote ( ) 198

bcnucleaire ( ) 198

bcoctaedre ( ) 198

bcoeil ( ) 198

bcontraction 236

bcorne ( ) 198

bcours ( ) 198

bcoutil ( ) 198

bcpanchant ( ) 197


bcpluie ( ) 197

bcplume ( ) 198

bcpoisson ( ) 198

bcquestion ( ) 198

bcrecyclage ( ) 198

bcrosevents ( ) 198

bcsmbh ( ) 198

bcsmmh ( ) 198

bcsoleil ( ) 198


bcstop (STOP

) 198

bctakecare ( ) 198

bctetraedre ( ) 198

bctrefle ( ) 198

bctrombone ( ) 198


bcvelo ( ) 198

bcyin ( ) 198

Bda (d) 157





Bdwe (gt) 157

Bdwo () 157






rdquoardquo) 23


equiv







e) 42



THORN

) 43bigboxbot (

Ucirc

) 43bigboxcirc (

Otilde


Œ

) 43bigboxdiv (

Oacute

) 43bigboxdot (

Ocirc

) 43bigboxleft (

Oslash

) 44bigboxminus (

Ntilde

) 44bigboxplus (

ETH

) 44bigboxright (

Ugrave

) 44bigboxslash (

Yacute

) 43bigboxtimes (

Ograve

) 43bigboxtop (

Uacute


szlig

) 43bigboxvoid (

Uuml

) 43bigcap (

⋂) 42


bigcap (⋂


BigCircle () 149


Š

) 43


⋃) 42

bigcup (⋃) 47

256

bigcup (⋃) 46

bigcup (⋃


bigcupdot (⨃


Ĳ

) 43bigcurlyvee (

b) 42


Ż

) 43bigcurlywedge (

c) 42



BigHBar () 149

bigint (

int) 46

biginterleave (g


bigints (

int) 46

bigintss (

int) 46

bigintsss (

int) 46

bigintssss (int

) 46

biginvamp (˙

) 52


) 42


AElig

) 43bigobackslash (

Icirc


Euml

) 43bigocirc (

Aring


Ccedil

) 44bigodiv (

Atilde

) 44bigodot (

⨀) 42


bigodot (⨀

) 49

bigoint (

∮) 46

bigoints (

∮) 46

bigointss (

∮) 46

bigointsss (

∮) 46

bigointssss (∮

) 46

bigoleft (Egrave

) 44bigominus (

Aacute


⨁) 42


bigoplus (⨁

) 49bigoright (

Eacute

) 43bigoslash (

Iacute


⨂) 42


bigotimes (⨂

) 49bigotop (

Ecirc


Iuml


Igrave

) 43bigparallel (

f) 42

bigparr (˙

) 52bigplus (

Ř



Ű

) 43bigsqcap (

) 42


bigsqcap (⨅


) 44


⨆) 42


bigsqcup (⨆


) 44


BigSquare ( ) 149

bigsquplus (Ÿ

) 43

bigstar (lsaquo) 33

bigstar (F) 124


bigstar () 147

bigstar () 147

bigstar () 148

bigtalloblong (⫿

) 49

bigtimes (Ś

) 43

bigtimes (⨉) 47

bigtimes (⨉) 47

bigtimes (⨉

) 49

bigtop (⟙) 126


bigtriangledown (`

) 42


) 227









bigtriangleup (a

) 42

bigtriangleup ( vsa

) 227



bigtriangleup () 73


biguplus (⨄

) 42

biguplus (⨄) 48

biguplus (⊎) 47

biguplus (⨄

) 49


BigVBar () 149

bigvee (⋁

) 42

bigvee (⋁) 47

bigvee (⋁) 47

bigvee (⋁

) 49

bigveedot () 47

bigveedot () 47

bigwedge (⋀

) 42

bigwedge (⋀) 47

bigwedge (⋀) 47

bigwedge (⋀

) 49

bigwedgedot () 47

bigwedgedot () 47

bigwhitestar () 148

bigwith (˘

) 52

binampersand (N) 32




257

negated 53 54 56ndash57 5960 62


Bja (j) 157

Bje (J) 157

Bjo (b) 157

Bju (L) 157

Bka (k) 157

Bke (K) 157

Bki (c) 157

Bko (h) 157

Bku (v) 157BL () 134black 188







148

















macr) 188

bm (package) 241 247 248bm 241bm (

macr) 188

Bma (m) 157


Bmi (y) 157

Bmo (A) 157bmod 96

Bmu (B) 157

Bna (n) 157

BNc (laquo) 157

BNcc (raquo) 157

BNccc (ndash) 157

BNcd (mdash) 157

BNcm (ff) 157

BNd (zwnj) 157

BNdc (permil) 157

BNdcc (ı) 157

BNdccc (ȷ) 157

Bne (N) 157

BNi (acute) 157

Bni (C) 157

BNii (ˆ) 157

BNiii (˜) 157

BNiv (uml) 157

BNix (macr) 157

BNl (lsaquo) 157

BNlx (rsaquo) 157

BNlxx (ldquo) 157

BNlxxx (rdquo) 157

BNm (fi) 157

Bno (E) 157bNot (⫭) 61

Bnu (F) 157

BNv (˝) 157

BNvi (˚) 157

BNvii (ˇ) 157

BNviii (˘) 157

Bnwa () 157

BNx (˙) 157

258

BNxc (bdquo) 157

BNxl (sbquo) 157

BNxx (cedil) 157

BNxxx (˛) 157


48 60 66 71 74 86 8799ndash102 111 123 125 147151 159 163 247








Bpa (p) 157

Bpaiii ([) 157

BPamphora (Ž) 158

BParrow (ĳ) 158

BPbarley (Ş) 158

BPbilly (ť) 158

BPboar (ľ) 158

BPbronze (Ű) 158

BPbull (ň) 158




BPchassis (ź) 158

BPcloth (Ř) 158

BPcow (ŋ) 158

BPcup (Ÿ) 158

Bpe (P) 157

BPewe (š) 158

BPfoal (ě) 158

BPgoat (ş) 158

BPgoblet (Ź) 158

BPgold (Ů) 158

BPhorse (ď) 158

Bpi (G) 157

BPman (ă) 158

BPnanny (ț) 158

Bpo (H) 157

BPolive (Ț) 158

BPox (ń) 158

BPpig (ĺ) 158

BPram (ś) 158

BPsheep (ř) 158

BPsow (ł) 158

259

BPspear (iexcl) 158

BPsword (ż) 158

BPtalent (Ď) 157

Bpte (]) 157

Bpu (I) 157

Bpuii () 157

BPvola (Ĺ) 157

BPvolb (Ľ) 157

BPvolcd (Ł) 157

BPvolcf (Ń) 157

BPwheat (Š) 158

BPwheel (ž) 158

BPwine (Ť) 158

BPwineiih (Ż) 158

BPwineiiih (Ĳ) 158

BPwineivh (İ) 158

BPwoman (ą) 158

BPwool (Ś) 158

BPwta (Ă) 157

BPwtb (Ą) 157

BPwtc (Ć) 157

BPwtd (Č) 157

Bqa (q) 157

Bqe (Q) 157

Bqi (X) 157

Bqo (8) 157




bracevert (

⎪⎪⎪⎪⎪⎪) 105


Braii (^) 157




Bri (O) 157

Bro (U) 157


Bru (V) 157BS () 135

Bsa (s) 157




Bsu (2) 157

Bswa () 157

Bswi (|) 157

Bta (t) 157

Btaii () 157

Bte (T) 157


Bto (4) 157

Btu (5) 157

Btwe (shy) 158

Btwo (~) 157

Bu (u) 157


BUFl () 135

BUFr () 135

BUFu () 135

BUi (fl) 158

BUii (ffi) 158

BUiii (ffl) 158

BUiv () 158


∙∙ ∙∙ ) 185bullcntr⟨5 ⟩ (


∙∙∙∙∙∙∙∙∙) 185




Burns (


BUv () 158

BUvi () 158

BUvii () 158

BUviii ($) 158

BUx (amp) 158

BUxi (rsquo) 158

BUxii (shy) 158

Bwa (w) 157

Bwe (W) 157

Bwi (6) 157

Bwo (7) 157BX () 134

Bza (z) 157

Bze (Z) 157

Bzo (9) 157


Ca (a) 158

caesura (O) 164


260


capbarcup (⩉) 36


capovercup (⩇) 36







CB (-) 134cb (a ) 25Cc ( ) 188









144 152 181 182 199ndash202227





checkmark () 126



checksymbol (+) 186


247



chessetc (P) 186


Chi (X) 97chi (120594) 97

ChinA2e (package) 26 96 129191 192


Ci (i) 158


circ () 39circ () 33circ () 148 149



Circle () 146

261

Circle (5) 149













Cja (j) 158

Cjo (b) 158

Cka (k) 158

Cke (K) 158

Cki (c) 158

Cko (h) 158

Cku (v) 158

Cla (l) 158



clefF ( ) 167

clefFInline 167




clock (i1) 184



Cma (m) 158

Cme (M) 158



Cmu (B) 158

Cna (n) 158

Cne (N) 158

Cni (C) 158

Cno (E) 158

Cnu (F) 158

262

CO () 134


Coda (i) 164







COMPLEX (raquo) 96



work 1 12 112 129 135226 244ndash246






conjquant (⨇


and amp







∐) 30 42


coprod (∐




Cpa (p) 158

Cpe (P) 158

Cpi (G) 158

Cpo (H) 158

Cpu (I) 158

CR (-) 134 135cr 231

Cra (r) 158



Cri (O) 158


Cross () 143

Cross () 149

Cross () 150

263


crossb () 19







(uu) 166





Ŕa) 23




Csi (Y) 158

Cso (1) 158




Cti (3) 158

Cto (4) 158Ctrl ( Ctrl ) 134

Ctu (5) 158

Cu (u) 158

Cube ( ) 183229

cube root see sqrt


cupbarcap (⩈) 36


cupovercap (⩆) 36










264

cwnwarcarrow () 82



Cxa (x) 158

Cxe (X) 158

Cya (j) 158



Czo (9) 158

DD (D) 162D (a

uml) 24


laplac





int) 232


DavidStar (0) 145



int) 232


) 110

dddot () 111dddot (

) 110

dddtstile ( ) 63

ddigamma (ϝ) 159


ddots ( ) 120

ddots ( ) 119 234


DDownarrow (⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟱

) 107


Ddownarrow (⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤋

) 107

ddststile ( ) 63

ddtstile ( ) 63

ddttstile ( ) 63



265

DEL () 135DEL () 135Del ( Del ) 134

Del ( Del ) 134




symbols




(Z


(Z ) 166


(Z ) 166







DFT ( ) 118











266





267



disjquant (⨈










dnststile ( ) 63

dntstile ( ) 63




does not imply 232


dollar sign see $

dominance see prec

negative see nprec


strict see Prec











macr) 45


dottedtilde (a) 23




268


Downarrow (



) 107


downarrow (


















269

dststile ( ) 63


dtdtstile ( ) 63


dtststile ( ) 63

dttstile ( ) 63

dtttstile ( ) 63










eighthNote ( ) 166




166


( ) 166



EightStar (H) 145













End ( End ) 134



Enter ( Enter ) 134

enumerate 185


EOafter (sect) 160

EOandThen (Ş) 160

EOAppear (Ť) 160

EOBeardMask (t) 160

EOBedeck (ą) 160

EOBlood (u) 160

EObrace (ć) 160


EOBundle (v) 160

EOChop (w) 160


EODealWith (r) 160

EODeer (Ţ) 160

EOeat (Ű) 160

EOflint (đ) 160

EOflower (č) 160

EOFold (Auml) 160

EOGod (ď) 160

EOGoUp (Acirc) 160

EOgovernor (ę) 160

EOGuise (z) 160


EOja (V) 160

EOjaguar (ĺ) 160

EOje (U) 160

270

EOJI (-) 160

EOji (T) 160

EOjo (Y) 161

EOju (X) 161

EOkak (m) 161

EOke (D) 161

EOki (C) 161

EOkij (Ź) 161

EOKing (Ă) 161



EOko (H) 161

EOku (G) 161

EOkuu (E) 161




EOLord (ň) 161

EOLose (Č) 161

EOma (]) 161

EOmacaw (ŋ) 161

EOmacawI (ŕ) 161

EOme ([) 161

EOmexNew (Ď) 161

EOmi (Z) 161

EOMiddle (Ě) 160

EOmonster (ő) 160

EOMountain (ě) 160

EOmuu () 160

EOna (b) 160

EOne (lsquo) 160

EOni (^) 160

EOnow (š) 160

EOnu (c) 160

EOnuu (a) 160

EOofficerI () 160

EOofficerII (|) 160

EOofficerIII () 160

EOofficerIV (~) 160

EOpa (3) 160

EOpak (n) 160

EOPatron (Ś) 160

EOPatronII (Ů) 160

EOpe (1) 160

EOpenis (ť) 160

EOpi (0) 160

EOPierce (Ÿ) 160

EOPlant (Ę) 160

EOPlay (Ğ) 160

EOpo (6) 160

EOpriest (ţ) 160

EOPrince (Ĺ) 160

EOpu (5) 160

EOpuu (2) 161

EOpuuk (o) 161

EORain (Auml) 161

EOSa (L) 161

EOsa (R) 161


EOSaw (y) 161

EOScorpius (q) 161

EOset (Acirc) 161

EOSi (I) 161

EOsi (O) 161

EOsing (ů) 161

EOSini (ľ) 161

EOskin (yuml) 161

EOSky (Ľ) 161



EOsnake (Ż) 161

EOSo (N) 161

EOSpan () 161

EOSprinkle (Ń) 161

EOstar (Ž) 161



EOstep (ű) 160

EOSu (M) 160

EOsu (S) 160

EOsun (ž) 160

EOSuu (K) 160

EOsuu (Q) 160EOT () 135

EOta () 160EOte (8) 160

EOthrone (ż) 160

EOti (7) 160

EOTime (ĳ) 160

EOtime (Ĳ) 160

EOTitle (pound) 160

EOTitleII (Ŋ) 160


EOtu () 160

EOtuki (Ő) 160

EOtukpa (İ) 160


EOtza () 160

EOtze (gt) 160

EOtzetze (Ŕ) 160

EOtzi (=) 160

EOtzu (B) 160

EOtzuu () 160



EOvarji () 161




EOwa (h) 161

EOwe (e) 161

EOwi (d) 161

EOwo (i) 161

271


EOxi (˙) 161

EOxii (cedil) 161

EOxiii (˛) 161

EOxiv (sbquo) 161

EOxix (bdquo) 161

EOxv (lsaquo) 161

EOxvi (rsaquo) 161

EOxvii (ldquo) 161


EOya (l) 161

EOyaj (p) 161





rightleftharpoons





ESC () 135Esc ( Esc ) 134






see nleftrightarrow

nequiv and oplus


272









faBell () 199











273




faDashcube (a) 201










faFacebook (g) 202



faFileO (o) 199



faFileText (p) 199










274

faHome () 200









Fannquant ( ) 121

Fannquantn ( ) 121


Fanquant ( ) 121

Fanquantn ( ) 121










Faquant ( ) 121

Faquantn ( ) 121


275



















276



faUsd (f) 26







39 47 48 57ndash59 66 70 7481ndash85 94 95 99 101 106107 111 113 120 123 125147 151 163 247




Ferli (aa) 165


fermatadown (Q) 164

fermataup (P) 164

Fermi (aa




feyng1 (⨿) 137feyngd (⊑) 137



feyngvs (int) 137


feynm () 137

feynP (119979) 137

feynp (radic) 137

feynx (S) 137

FF () 135

fge (package) 91 102 111 122126 247 248

fgeA (A) 102


fgebaracute (M) 126

fgebarcap (O) 126

fgec (c) 102

fgecap (S) 126

fgecapbar (Q) 126

fgecup (N) 126

fgecupacute (R) 126

fgecupbar (P) 126

fged (p) 102

fgee (e) 102

fgeeszett (ı) 102

fgeeta (rdquo) 102

fgeF (F) 102

fgef (f) 102

fgeinfty (i) 126

fgelangle (h) 126

fgelb 102

fgelb (rdquo) 102

fgeleftB (D) 102

fgeleftC (C) 102

fgeN (rdquo) 102


fgerightarrow () 91

fgerightB (B) 102

fges (s) 102



fgeU (U) 102

fgeuparrow () 91



file (H) 186

file extensions

dvi 244

fd 12 238 245

mf 12 204 236

otf 163

pdf 244

sty 12

tex 244 245

tfm 12 204 226 245






277





















(t) 149







filledstar () 38








fint (gt

) 44

fint (ffl) 45





FiveStar (8) 145










fixedddots ( ) 119

fixedvdots () 119



flapr (D) 19

Flasche ( ) 196

flat () 163

flat (ugrave) 163

flat () 163

flat ( ) 167

flat () 163

flat () 163

flatflat ( ) 167

Flatsteel () 136



Florin (iacute) 26


flourishes 152 213




fltns () 148

Flynn Peter 230

FM () 134

Fncontent ( ) 121

Fnncontent ( ) 121

Fnnquant ( ) 121

Fnnquantn ( ) 121

Fnnquantnn ( ) 121

Fnquant ( ) 121

Fnquantn ( ) 121

Fnquantnn ( ) 121

fnsymbol 185

Fog () 183


7-bit 12

8-bit 12

ASCII 246

Cyrillic 21

document 242 244

Latin 1 246


LY1 12

OT1 12 15 21 234 241242

OT2 229

T1 12 14 15 17 21 242244

T2A 21 229

T2B 21

T2C 21

T4 16 20 21 24

T5 16 21

TS1 229 242

U 229

X2 21

278















Fquantn ( ) 121













279















and PackingWaste



gtreqless (R) 67



gtreqqless (T) 67


gtreqqless (⪌) 70

gtreqqless (⪌) 69

gtreqqless (⪌) 71




280



runesHA (A) 154






(uu) 166


halfNoteDown () 166








HandLeft () 142

HandLeftUp () 142


HandRight () 142



hat ( ) 111


HB (B) 154

Hb (b) 154








248Hhundred (3) 154

HI (I) 154

Hi (i) 154


Hibp (Θ) 154

Hibs (Ξ) 154


mathhill (a

) 23


radic) 233


Hm (m) 154

Hman (ϒ) 154

Hmillion (7) 154

Hms (Δ) 154HN (N) 154Hn (n) 154HO (O) 154

281


holter ( ) 119


Homer (




Hplus (+) 154HQ (Q) 154Hq (q) 154

Hquery () 154


Hs (s) 154

hs (A) 164

Hscribe (Ψ) 154


Hthousand (4) 154

Htongue (Φ) 154

HU (U) 154



Hut () 183


Hw (w) 154HX (X) 154

Hx (x) 154

HXthousand (5) 154

HY (Y) 154


HZ (Z) 154Hz (z) 154hzigzag (〰) 126

II (I) 162



iddots ( ) 120



int) 42

idotsint (

) 44

idotsint (L) 47 48


ifsym (package) 130 149 150183 227 229 247


intintintint) 42

iiiint (

) 44

iiiint (ˇ

) 45

iiiint (⨌) 47


ţ

) 43iiint (

intintint) 42

iiint (t

) 43

iiint (

) 44

iiint (˝

) 45

iiint (∭) 47


ť

) 43iint (

intint) 42

iint (s

) 43

iint (

) 44

iint (˜

) 45

iint (∬) 48


282



and vdash


textquotedbl








int (ş

) 44int (

r) 43

int (r) 43

int (int

) 42

int (int) 48





intclockwise () 51



INTEGER (iquest) 96






intup () 48












irony mark ( ) 229

283



242Italy () 195

JJ (J) 162j (ł) 162j (ȷ) 21j (j) 162

JackStar (2) 145






249symbols by 181







) 45



) 45



lAngle (⟪) 106

lAngle (

⟪

) 107

langle (⟨) 30 103

langle (⟨) 106

langle (⟨) 105

langle (

⟨

) 108

langlebar (n) 105

langledot (⦑) 106


Laplace ( ) 64






largepencil (W) 141




96 103 119 124 139 185

284

204 225 226 229ndash236 239240 242 244ndash246 248 249



latfric () 19

Latin 1 12 242ndash244 246

Latvia () 194

Laughey ( ) 196

laundry symbols 182

LB () 134

Lbag (P) 102

lbag (N) 102

lbag (THORN) 35

lbag (⟅) 103



lBrace (

⦃

) 107

lbrace () 106

lbrace () 107


) 105

lbrace (

) 107

Lbrack ([) 129

lBrack ([[) 109

lBrack (⟦) 106

lBrack (⟦) 107

lBrack (

⟦

) 107

lbrack ([) 106

lbrack ([) 107




Lbrbrak (⟬) 103

lbrbrak (

❲

) 107

LCD numerals 130


lceil (lceil) 103

lceil (lceil) 106

lceil (⎡⎢⎢⎢⎢⎢) 105

lceil (

lceil

) 107












leftevaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108


285



76












leftwave (

ETH

ETH

ETH

ETH

) 108


286


lesseqgtr (Q) 67



lesseqqgtr (S) 67


lesseqqgtr (⪋) 70

lesseqqgtr (⪋) 69

lesseqqgtr (⪋) 72







levaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108


lfilet (

7

7

7

7

) 104


lfloor (lfloor) 106

lfloor (⎢⎢⎢⎢⎢⎣) 105

lfloor (

lfloor

) 107

lftborder () 188


lfttopcorner () 188


lgroup (⎧⎩) 104

lgroup (

⎧⎪⎪⎪⎪⎩) 106

lgroup (⎧⎪⎪⎪⎪⎩) 105

lgroup (⎫

⎪

⎭

) 107




Lightning () 183



lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

287

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 179

lilyGlyph ( ) 178

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 180

lilyGlyph ( ) 180

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172


lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172


lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172


lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172


lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

288

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171





lilyGlyph ( ) 173

lilyGlyph ( ) 173

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 173

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174




289


lilyGlyph ( ) 175

lilyGlyph ( ) 175

lilyGlyph ( ) 176


lilyGlyph ( ) 176

lilyGlyph ( ) 176


lilyGlyph ( ) 176




lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178



lilyGlyph ( ) 170

lilyGlyph ( ) 170

lilyGlyph ( ) 170




290






lilyGlyph ( ) 170



lilyGlyph ( ) 169












291









292






LinearACXXIX () 155






LinearAI () 154



LinearALIX () 156














LinearAX () 155

LinearAXCI (Z) 156





LinearAXLIV (+) 155

LinearAXLIX (0) 155

LinearAXLV () 155




LinearAXXII () 155

LinearAXXIII () 155





Lisa (


293


lJoin (X) 53

lJoin (⋉) 35

LK () 134

ll () 68

ll (≪) 67

ll (≪) 70

ll (≪) 69

ll (≪) 72

llangle (⟪) 105

llangle (⦉) 103

llap 25 233

llarc () 126


llbracket (~) 104

llbracket (

) 109

llceil (V) 102

llcorner (z) 102

llcorner (x) 102


llcorner () 106

llcorner () 105

llcorner () 103

llcurly (Icirc) 54

llcurly (ecirc) 60

LLeftarrow () 89

Lleftarrow (W) 75

Lleftarrow (reg) 86

Lleftarrow () 81

Lleftarrow () 78

Lleftarrow () 89

llfloor (T) 102

lll (Icirc) 68

lll (≪) 67


lll (Ouml) 71

lll (⋘) 70

lll (⋘) 69

lll (⋘) 72

llless see lll

llless (⋘) 70

llless (⋘) 69

llless (⋘) 72

lllnest (⫷) 72





lmoustache (

⎧⎪⎪⎪⎪⎭) 106


lmoustache (⎧

⎪

⎭

) 107





and see wedge

not see neg and sim

or see vee








294




lowint (⨜) 49

lowintsl (⨜) 51

lowintup (⨜) 51


181Lparen (() 129

lParen (

⦅

) 108

lparen (() 107


lrcorner () 106

lrcorner () 105



lsem (LPPPPN) 105


lsf (ffl) 164

lsfz (ndash) 164

Lsh (egrave) 76

Lsh () 75

Lsh () 86

Lsh () 82

Lsh () 77

Lsh () 87

lsime (⪍) 71

lsimg (⪏) 71

lsqhook (⫍) 61

Lsteel () 136

Lt (Icirc) 71

Lt (⪡) 71

ltcc (⪦) 71

ltcc (⪦) 71

ltcir (oslash) 71

ltcir (⩹) 71

ltimes (˙) 33

ltimes (n) 31

ltimes (Ocirc) 35

ltimes (⋉) 34 35

ltimes (⋉) 33

ltimes (⋉) 36


ltlarr (⥶) 71

ltquest (⩻) 71

ltriple 109

ltrivb (⧏) 74

LU () 134

LuaLATEX 163

Luecking Dan 233

Luxembourg () 194

lVert () 104

lVert (||) 109

lVert (

∥∥∥∥∥∥) 106

lvert (|) 104

lvert (

∣∣∣∣∣∣) 106

lvertneqq (ť) 68

lvertneqq () 67

lvertneqq () 71

lvertneqq (≨) 71

lvertneqq (≨) 69

lvertneqq (≨) 71

lVvert (


Lvzigzag (⧚) 103

lvzigzag (⧘) 103

lwave (

ETH

ETH

ETH

ETH

) 108

lWavy (______) 105

lwavy (^^) 105

lz (1) 19

MM 16M (

macr) 188

m 16m (

macr) 188


Maggie ( ) 189









295




Marge (




26 122 132 134 136 141143 182 192 227





equiv




43 54 65 68 73 76 7795 100 102 104 110 114122 124 132 186 226 227247








mathslash () 106



cient seeDH



296














micro (micro) 130


textperthousand


uu)


u) 166

minimDown () 166


minus see textminus


div


297






modtwosum (⨊













NANDd () 135

NANDl () 135

NANDr () 135


NATURAL (frac14) 96

Natural (Icirc) 96

298




ncong () 53



nddtstile ( ) 63




299


ndststile ( ) 63

ndtstile ( ) 63

ndttstile ( ) 63







ngeq () 67 68


ngeqq () 67


ngeqslant () 67


300





ngtreqqless () 70



ngtrless (≹) 69



nibeta () 19

NibLeft () 141





301






nleq () 67 68


nleqq () 67


nleqslant () 67


nlesg () 70


nlesseqgtr () 70




nlesseqqgtr () 70



nlessgtr (≸) 69





nNeswarrow () 84

302


nnststile ( ) 63

nntstile ( ) 63








normal runes 162


NORu () 135

Norway () 194



notni

notperp (M) 54


npreceq () 53


303






304



nststile ( ) 63


nsubseteq () 65



nsucceq () 53


nsupseteq (+) 65



ntdtstile ( ) 63






305

ntriplesmile () 94

ntststile ( ) 63

nttstile ( ) 63

ntttstile ( ) 63





NumLock ( Num ) 134











306








math


˚) 23


ohm (Ω) 130

Ohne (a ) 165


oiiint ()

) 44

oiiint (∰) 47

oiiint (

) 51

oiiint (∰) 48

oiiintclockwise (L

) 44


) 44


ů

) 44oiint (

v) 43

oiint (

) 45

oiint (sbquo

) 45

oiint (∯) 47

oiint (

) 51


oiintclockwise (H

) 45

oiintctrclockwise (

) 45


ű

) 44oint (

u) 43

oint (u

) 43oint (

∮) 42

oint (∮) 47

oint (∮) 46oint (∮) 48

307

ointclockwise (

) 44



ointclockwise () 51

ointctrclockwise (

) 44





oldGclef (g) 165







ORl () 135







overbrace (hkkikkj

) 114


overbrace (copy

) 113

overbrace (⏞ ⏟

) 114


) 114

overbrace (⏞ ⏟

) 112

overbracket ( ) 114

overbracket (

) 114


rdquoa) 23

overgroup (hkkkkj

) 114







118


) 118


) 118

overline ( ) 30 110 112



overparen (⏜⏜

) 114



308






) 118


) 118





˙) 188







adfsymbols 140 143 145150 247

allrunes 162 247119964ℳ119982 12 15 3142 52 53 65 67 72 7576 92 96 97 99 100 102104 110 113 116 119 123124 129 226 227 246


amssymb 12 110 124 128159 247



bbding 139 141ndash143 145150 152 227 247







feyn 137 247 248

309

fge 91 102 111 122 126247 248


fontenc 12 15 17 21 242244







mathabx 30 33 37 43 5465 68 73 76 77 95 100102 104 110 114 122 124132 186 226 227 247


mathdots 110 119 120234 247







stmaryrd 32 42 5365 72 76 92 95 102 104227 231 246 247


textcomp 12 14 15 21 25ndash28 75 110 126 130 163181 226 242 244 247


timing 130tipa 17 18 20 21 23 24229 247





310



Pallas () 133

pan ( ) 196






parallel () 52 105

parallel (∥) 58

parallel (∥) 56

parallel (∥) 61






parr (`) 37

parsim (⫳) 61

partial (B) 100

partial (120597) 100

partial (part) 102







(∲) 125


(∲) 77


(∲) 125


(∲) 77




(∳) 125


(∳) 77


(∳) 125


(∳) 78







(∲) 125










textperthousand



PencilLeft () 141


PencilLeftUp () 141

PencilRight () 141







textrecipe


PHbee (h) 153

PHbeehive (X) 153

PHboomerang (R) 153

PHbow (K) 153

PHbullLeg (b) 153

PHcaptive (D) 153


PHcat (c) 153

PHchild (E) 153

PHclub (M) 153

PHcolumn (W) 153

PHcomb (U) 153

PHdolium (T) 153

PHdove (f) 153

PHeagle (e) 153

PHflute (o) 153

PHgaunlet (H) 153

PHgrater (p) 153

PHhelmet (G) 153

PHhide (a) 153

PHhorn (Z) 153

311


PHlid (Q) 153

PHlily (m) 153

PHmanacles (N) 153

PHmattock (O) 153




PHoxBack (n) 153

PHpapyrus (k) 153


PHplaneTree (i) 153


PHram (d) 153

PHrosette (l) 153

PHsaw (P) 153

PHshield (L) 153

PHship (Y) 153

PHsling (V) 153

PHsmallAxe (r) 153

PHstrainer (q) 153



PHvine (j) 153

PHwavyBand (s) 153





pigpen cipher 191



























pilcrow see P




pipe see textpipe

Pisces (euml) 132

Pisces (M) 133

Pisces (euml) 132

pisces (f) 131
































312























207






Pisymbolastrosym57

(9) 208






208






















Pisymbolastrosym108

(l) 208






Pisymbolastrosym114

(r) 208


Pisymbolastrosym116

(t) 208


Pisymbolastrosym118

(v) 208






Pisymbolastrosym124

(|) 209




Pisymbolastrosym128

() 209


313



Pisymbolastrosym132

() 206


Pisymbolastrosym134

() 206


















206

Pisymbolastrosym152

() 207





Pisymbolastrosym157

() 207

Pisymbolastrosym158

() 207



Pisymbolastrosym161

(iexcl) 207


207

Pisymbolastrosym163

(pound) 207








Pisymbolastrosym179

(sup3) 207

Pisymbolastrosym180

(acute) 207



Pisymbolastrosym183

(middot) 207


207

Pisymbolastrosym185

(sup1) 207















Pisymbolastrosym208

(ETH) 208






Pisymbolastrosym214

(Ouml) 208


Pisymbolastrosym216

(Oslash) 208


Pisymbolastrosym218

(Uacute) 208



314




Pisymbolastrosym224

(agrave) 208




Pisymbolastrosym228

(auml) 208




Pisymbolastrosym232

(egrave) 208


Pisymbolastrosym234

(ecirc) 208



















(uuml) 209






315
























218

316
























































































317


















































































Pisymboldingbat69

(E) 213

Pisymboldingbat70

(F) 213

Pisymboldingbat71

318

(G) 213

Pisymboldingbat72

(H) 213

Pisymboldingbat74

(J) 213

Pisymboldingbat75

(K) 213

Pisymboldingbat76

(L) 213

Pisymboldingbat77

(M) 213




Pisymboldingbat100

(d) 213

Pisymboldingbat101

(e) 213

Pisymboldingbat102

(f) 213

Pisymboldingbat103

(g) 213

Pisymboldingbat104

(h) 213































































319















































































320

























(G) 204















































































321













































































































322










































































































323




























































































































Pisymbolnkarta92 ()

206


324







204





















205





Pisymbolnkarta164







205


















206






























325





























205



























































326
























































































327



















































































328











































































329















































































330
























































(M) 210


(N) 210


(O) 210


(P) 210


(Q) 210


(R) 210


(S) 210


(T) 210


(U) 210


(V) 210


(W) 209


(X) 209


(Y) 209


(Z) 209


([) 209


(]) 209


(a) 209


(b) 209


(c) 209


(d) 209


(e) 209


(f) 209


(g) 209


(h) 209


(i) 209


(j) 209


(k) 209


(l) 209


(m) 209


(n) 209

331





















macr) 188



polter ( ) 119






macr) 188

Ppp (˙˙) 188

ppp ( ˙˙

) 188Pppp (˙

˙) 188

pppp ( ˙˙

) 188

Ppppp (˙˙) 188

ppppp ( ˙˙



332




DeclareMathOperator

prod (prod


prod (prod

) 49PRODI 52








pullback (⟓) 34

pullback (⟓) 62



PulseHigh ($) 130

PulseLow () 130

pumpkin ( ) 40

pumpkins 40

punctuation 17


pushout (⟔) 34

pushout (⟔) 62


pwedge (U) 20


Pxp (˙) 188

pxp ( ˙ ) 188

Q

QED 124

QED (∎) 126

Qoppa (]) 159

qoppa () 159

qoppa (ϟ) 159

qp (gt) 164

qprime () 122

QQ () 134

qqs (B) 164

qs () 164

qside (M) 186

quaddot (lt) 162

quadeye () 162

Quadrad (]]) 110

quadrad (]]) 110

Quadras ([[) 110

quadras ([[) 110


quark (119874) 137

quarkb (119875) 137

quarkc (119876) 137

quarkd (119877) 137

quarks (119878) 137

quarkt (119879) 137

quarku (119880) 137


quarterNote (C) 166

quarternote () 163

quarternote () 163

quarternote () 163




(uu) 166



C) 166




quaver ( ) 166





) 166

quaverDown ( ) 166






RR (R) 162R (Ž) 162R (sim

) 188r (a) 21r (sim

) 188r (r) 162r (r) 128



Rain () 183



rAngle (⟫) 106

rAngle (

⟫

) 108

333

rangle (⟩) 30 103

rangle (⟩) 106

rangle (⟩) 105

rangle (

⟩

) 108

ranglebar (s) 105

rangledot (⦒) 106







hbar


rBrace (

⦄

) 108

rbrace () 106

rbrace () 107


) 105

rbrace (

) 108


rBrack (⟧) 106

rBrack (⟧) 107

rBrack (

⟧

) 108

rbrack (]) 106


rbrbrak (

❳

) 108

rc (a) 23


rceil (rceil) 103

rceil (rceil) 106

rceil (⎤⎥⎥⎥⎥⎥) 105

rceil (

rceil

) 107









rcorners (w) 102










rdbrack (w) 104



Rdsh () 82

Rdsh () 88

Re (real) 100

Re (real) 101

REAL (frac34) 96

Real (Ograve) 96



recorder () 181

Rectangle (u) 150




Rectpipe () 136

Rectsteel () 136


recycle () 196

recycle (A) 192






triangle 72ndash74








revaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108

revD () 20

revddots ( ) 234

reve () 19

334


textbackslash



rfilet (

) 104


rfloor (rfloor) 106

rfloor (⎥⎥⎥⎥⎥⎦) 105

rfloor (

rfloor

) 107

rftimes (⧕) 62

rgroup (⎫⎭) 104

rgroup (

⎫⎪⎪⎪⎪⎭) 106

rgroup (⎫⎪⎪⎪⎪⎭) 105

rgroup (⎧

⎪

⎩

) 107







rightevaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108


335




rightwave (

ETH

ETH

ETH

ETH

) 108





rmoustache (

⎫⎪⎪⎪⎪⎩) 107


rmoustache (⎫

⎪

⎩

) 107


rollingpin ( ) 196

Roman coins 27

Romania ( ) 194



roots see sqrt

roshambo 142




rotm (m) 20

rotOmega () 20

rotr (r) 20

rotvara (A) 20

rotw (w) 20

roty (y) 20






Rparen ()) 129

rParen (

⦆

) 107

rparen ()) 106

rparen ()) 107

rparengtr (⦔) 103


rppolint (⨒) 49

rppolintsl (⨒) 50

rppolintup (⨒) 50

rqm ( -119868) 232

RR (z) 162

rrangle (⟫) 105

rrangle (⦊) 103

rrbracket () 104

rrbracket (

) 109

rrceil (W) 102

RRelbar () 96

Rrelbar () 96

rrfloor (U) 102

rrhD ( ) 203

rrhDa ( ) 203

rrhDap ( ) 203

rrhDp ( ) 203

rrhDs ( ) 203

rrhDsp ( ) 203

rrhDw ( ) 203

336

rrhDwp ( ) 203

rrhE ( ) 203

rrhEp ( ) 203

rrhF ( ) 203

rrhFp ( ) 203

rrhFw ( ) 203

rrhFwp ( ) 203

rrhL ( ) 203

rrhLa ( ) 203

rrhLap ( ) 203

rrhLp ( ) 203

rrhLs ( ) 203

rrhLsp ( ) 203

rrhLw ( ) 203

rrhLwp ( ) 203

rrhM ( ) 203

rrhMp ( ) 203

rrhR ( ) 203

rrhRa ( ) 203

rrhRap ( ) 203

rrhRp ( ) 203

rrhRs ( ) 203

rrhRsp ( ) 203

rrhRw ( ) 203

rrhRwp ( ) 203

rrhSd ( ) 203

rrhSdp ( ) 203

rrhSl ( ) 203

rrhSlp ( ) 203

rrhSr ( ) 203

rrhSrp ( ) 203

rrhSu ( ) 203

rrhSup ( ) 203

rrhU ( ) 203

rrhUa ( ) 203

rrhUap ( ) 203

rrhUp ( ) 203

rrhUs ( ) 203

rrhUsp ( ) 203

rrhUw ( ) 203

rrhUwp ( ) 203


rsem (MQQQQO) 105



rtborder () 188






rupee (|) 27

RV (|) 134rVert (||) 109

rVert () 104

rVert (

∥∥∥∥∥∥) 106rvert (|) 104

rvert (

∣∣∣∣∣∣) 106

rVvert (


rwave (

ETH

ETH

ETH

ETH

) 108

rWavy (______) 105

rwavy (^^) 105



337










ScissorLeft () 141




() 141






sddtstile ( ) 63

sDep (h) 164

sdststile ( ) 63

sdtstile ( ) 63

sdttstile ( ) 63





) 165


) 165








Segno ( n) 164







( ) 166






338



membership see in

union see cup








( ) 167






simneqq (≆) 61

simperp (lsaquo) 64


simplus (⨤) 36



simrdots () 60

simrdots (⩫) 61

sin (sin) 96

sincoh (ˇ) 64


sinewave (∿) 126

sinh (sinh) 96







([) 145

SixStar (G) 145







(copy ) 166


( ) 166


166




skull () 196

skull (A) 186

skulls 186 196 224

slash () 242

slashb () 19

slashc () 19

slashd () 19

slashdiv () 33


slashed 231 232

slashed letters 231


slashu (U) 19

Sleet () 183

sliding (a) 23

Slovakia (cent) 195


339


























41


340




sndtstile ( ) 63

Snow () 183

SnowCloud () 183

Snowflake (`) 145




SNPP () 189

snststile ( ) 63

sntstile ( ) 63

snttstile ( ) 63SO () 134 135




Spacebar ( ) 134


Sparkle (]) 145





sqiiint (R

) 44

sqiint (P

) 44

sqiint (rdquo

) 45

sqint (

) 44

sqint (rsaquo) 45


sqrt (radic) 114

sqrt (radic

) 112 233sqrt (

radic) 116


341


Square (f) 150

Square (0) 149

Square (0) 150




hooked see hksqrt


(k) 150













ssststile ( ) 63

sststile ( ) 63


staveI () 190

staveII () 190

staveIII () 190

staveIV () 190

staveIX () 190

staveL (1) 190


staveLI (2) 190

staveLII (3) 190

staveLIII (4) 190

staveLIV (5) 190

staveLIX () 191

staveLV (6) 190

staveLVI (7) 191

staveLVII (8) 191

staveLVIII (9) 191

342

staveLX () 191

staveLXI (lt) 191

staveLXII (=) 191

staveLXIII (gt) 191

staveLXIV () 191

staveLXV () 191

staveLXVI (A) 191

staveLXVII (B) 191


staveV () 190

staveVI () 190

staveVII () 190

staveVIII () 190

staveX () 191

staveXI () 191

staveXII () 191

staveXIII () 191


staveXL () 191

staveXLI (() 191

staveXLII ()) 191


staveXLIX (0) 190

staveXLV () 191

staveXLVI (-) 191

staveXLVII () 190

staveXLVIII () 190

staveXV () 191

staveXVI () 191

staveXVII () 191

staveXVIII () 191


staveXXII () 191

staveXXIII () 191

staveXXIV () 190

staveXXIX () 190

staveXXV () 190

staveXXVI () 190

staveXXVII () 190

staveXXVIII () 190

staveXXX () 190

staveXXXI () 190

staveXXXII () 190

staveXXXIII ( ) 191

staveXXXIV () 191


staveXXXV () 191

staveXXXVI () 191

staveXXXVII ($) 191

staveXXXVIII () 191

stdtstile ( ) 63

steaming () 196



sterling see pounds

sthree (Oacute) 162


Stigma () 159

Stigma (Ϛ) 159

stigma (-) 159

stigma (ϛ) 159




StoneMan () 183

Stopsign () 136

StopWatchEnd () 183


stress (h) 25



strokedint (⨏) 47

StrokeFive () 183

StrokeFour () 183

StrokeOne () 183

StrokeThree () 183



stststile ( ) 63

sttstile ( ) 63

stttstile ( ) 63


^) 23




iexcl) 23


iquest) 23



343




sum) 42


sum (sum

) 49

sumint (⨋) 47


Summit () 183


Sun () 183


197ndash198 224 227sun () 132sun () 181

SunCloud () 183






lsquo



344




symA (Aacute) 128

symAE (Ucirc) 129


163ndash204 206 223 224 226228 235 240ndash241 243



















) 188t ( a) 21t (otimes

) 188

345



Tape () 152



tddtstile ( ) 63

tdststile ( ) 63

tdtstile ( ) 63

tdttstile ( ) 63


Telephone (() 183




189 247 248TEX 12 73 74 91 120 131

190 226 229ndash236 238ndash240242 244 245 249







21 25ndash28 75 110 126 130163 181 226 242 244 247


346


textdbend (





textknit2 (22) 193

textknit3 (33) 193

textknit4 (44) 193

textknit5 (55) 193

textknit6 (66) 193

textknit7 (77) 193

textknit8 (88) 193

textknit9 (99) 193

textknit () 193

textknit( ((() 193

textknit) ())) 193

textknit () 193

textknit- (--) 193

textknit () 193

textknit () 193


textknit () 193

textknit[ ([[) 193

textknit] (]]) 193

textknitA (AA) 193

textknita (aa) 193

textknitB (BB) 193

textknitb (bb) 193

textknitE (EE) 193

textknitF (FF) 193

textknitf (ff) 193

textknitH (HH) 193

347

textknith (hh) 193

textknitI (II) 193

textkniti (ii) 193

textknitJ (JJ) 193

textknitj (jj) 193

textknitL (LL) 193

textknitl (ll) 193

textknitM (MM) 193

textknitm (mm) 193

textknitO (OO) 193

textknitQ (QQ) 193

textknitq (qq) 193

textknitR (RR) 193

textknitr (rr) 193

textknitS (SS) 193

textknits (ss) 193

textknitT (TT) 193

textknitt (tt) 193

textknitU (UU) 193

textknitu (uu) 193

textknitV (VV) 193

textknitv (vv) 193

textknitW (WW) 193

textknitw (ww) 193

textknitX (XX) 193

textknitx (xx) 193

textknitY (YY) 193

textknity (yy) 193

textknitZ (ZZ) 193


textlhdbend (~



mdasha) 22







) 181


348





rsaquo) 22




ˆ) 22

textsubdot (a˙) 22


lsaquo) 22


˚) 22


˜) 22



ˇ) 22



) 22






349





symbols




(Z


(Z ) 166


(Z ) 166



textperthousand







247 248tilde 14 17 19 21ndash23 25 28





tndtstile ( ) 63

tnststile ( ) 63

tntstile ( ) 63




TR () 134trademark 14 27 243 244




pitchfork

trapezium () 148

trebleclef (G) 164

trees 197 224

350










triangleq (≜) 74



173ndash178 187 188 204ndash206222


TriangleUp (n) 150

TriangleUp (1) 150




tststile ( ) 63

tsttstile ( ) 63

ttdtstile ( ) 63


ttststile ( ) 63

tttstile ( ) 63

ttttstile ( ) 63





44 53 54 65 68 76 9598ndash100 124 128 151 226228 242 247


UU (U) 162U (a

˘) 24



351



ulcorner () 106

ulcorner () 105

ulcorner () 103

ullcorner (S) 106

ullcorner (6) 105

ulrcorner (Y) 106

ulrcorner () 105



) 24


loomoon

) 114





) 114



underbracket () 114



loooon

) 114





underleftharp () 91







minusminusisin)


minusminusisin)


notshy) 113


underparen (⏝⏝

) 114



) 114







niminusminus)


(niminusminus

) 118




union see cup



Uparrow (



) 107


uparrow (


uparrow (uarr) 107



Updownarrow (


352




updownarrow (












42 49 51upint (⨛) 49

upintsl (⨛) 51




353


urcorner () 106

urcorner () 105


usf (ffi) 164



˜) 23


245utilde () 115


UUparrow (⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰

) 108


Uuparrow (⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊

) 108

uwebofd (file) 210







varint (r) 43







) 44


)

44varoiint (

) 45


) 44


) 44

varoint (u

) 43

varointclockwise (-

) 44




) 45



354


) 45




varsumint (⨋) 48





vdots () 120

vdots () 119


355



VERT (

) 109

Vert () 103ndash105

Vert (

∥∥∥∥∥∥) 106Vert (∥) 107

Vert (

) 108vert (|) 103ndash105

vert (

∣∣∣∣∣∣) 106vert (∣) 107

vert (

|

|

|

|

|

|


Village () 183




˚) 20


macr) 188

vpppm (macr


Vvert (


Vvert (⦀

⦀

⦀

⦀

⦀

⦀



32 43 53 65 68 119 124130 131 133 136 143 144146 163 181 227 247







Ţ) 23



87




149





356








wideparen ( ) 113

widering (u) 114

widering () 115

widering (˚




Windowsreg 244




229 234 247wupperhand (c) 186

Xx (X) 122x (

˙˙) 188

XBox (4) 143

xbsol (⧹



































Xs 143 144 182

xsol (⧸

) 49

XSolid () 143

XSolidBold ($) 143





357

XY-pic 233

Y

Ydown () 32

Ydown (Ocirc) 35

yen see textyen

yen (yen) 126


yhmath (package) 112 113 115121 234 247


Yinyang (Y) 182

yinyang () 196

Yleft () 32

Yleft (Ouml) 35

yogh (x) 20

yogh (`) 19

Yright () 32

Yright (times) 35

Yu Billy 235

Yup () 32

Yup (Otilde) 35

Yup (⅄) 101







ZwPa ( A ) 165ZX (X) 134ZY (Y) 134ZZ (Z) 134

358

Contents

Introduction

Document Usage


Body-text symbols


















Text-mode Accents








semtrans Accents

ogonek Accents

combelow Accents

wsuipa Diacritics

textcomp Diacritics

marvosym Diacritics








eurosym Euro Signs

fourier Euro Signs











Binary Operators






































Binary Relations


































Inequalities

AMS Inequalities






boisik Inequalities

stix Inequalities








Arrows

Harpoons


AMS Arrows

AMS Negated Arrows

AMS Harpoons

stmaryrd Arrows


mathabx Arrows


mathabx Harpoons

MnSymbol Arrows


MnSymbol Harpoons


fdsymbol Arrows


fdsymbol Harpoons


boisik Arrows


boisik Harpoons

stix Arrows

stix Negated Arrows

stix Harpoons


chemarrow Arrows

fge Arrows

old-arrows Arrows

old-arrows Harpoons


MnSymbol Spoons

MnSymbol Pitchforks


fdsymbol Spoons

fdsymbol Pitchforks








Log-like Symbols


china2e Number Sets

Greek Letters

AMS Greek Letters









AMS Hebrew Letters




stix Hebrew Letters

Letter-like Symbols













AMS Delimiters

stmaryrd Delimiters

mathabx Delimiters

boisik Delimiters

stix Delimiters

nath Delimiters















Math-mode Accents








Extensible Accents





























Dots

AMS Dots

wasysym Dots

MnSymbol Dots

fdsymbol Dots

stix Dots

mathdots Dots

yhmath Dots

teubner Dots





marvosym Digits

fge Digits



stix Infinities

stix Primes

stix Empty Sets

AMS Angles

MnSymbol Angles

fdsymbol Angles

boisik Angles

stix Angles














Math Alphabets















wasysym APL Symbols

stix APL Symbols

apl APL Symbols




logic Logic Gates










Dingbats

bbding Arrows

pifont Arrows

adfsymbols Arrows

adforn Arrows

arev Arrows

fontawesome Arrows


marvosym Scissors

bbding Scissors

pifont Scissors

dingbat Pencils

arev Pencils

fontawesome Pencils



dingbat Fists

bbding Fists

pifont Fists

fourier Fists

arev Fists

fontawesome Fists




arev Crosses








wasysym Stars




adforn Stars

fontawesome Stars





















adforn Flourishes





Ancient languages
















allrunes Runes


Musical symbols















LilyGlyphs Clefs



LilyGlyphs Rests




LilyGlyphs Scripts















Other symbols













ifsym Clocks

Other ifsym Symbols

clock Clocks

epsdice Dice

hhcount Dice

stix Dice




skull Symbols




igo Go Symbols

go Go Symbols






















tikzsymbols Trees






hands Fists


nkarta Map Symbols







knot Celtic Knots

dancers Dancing Men



dice Dice




Symbol Name Clashes

Resizing symbols


Math-mode spacing



Unicode characters

About this document


References

Index

Symbols

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z


3


4


5


6




7


8

















9













10




References 249

Index 250

11

1 Introduction






11 Document Usage








cent 26

e 26


permil 28 44

there4 52

12

B and F 53

and amp 67

120


ℒ ℱ etc 128

N Z R etc 128

r 128

minusint

232




13

2 Body-text symbols



$ $ _ amp amp





















gt textgreater




14















15

































16








































17









































18

















barb er latfric sci























dz invy scd ` yogh


19


D DH k dh l openo







vod
















˒ Alif ˓ Ayn

20




Aa Aa Amacr

amacr





















21




















Arsaquo

arsaquo


Aldquo

aldquo


Amacr

amacr



Aˆ

aˆ


A˙a˙


Alsaquo

alsaquo





A˚

a˚



A˜

a˜


Auml

auml



Aˇ

aˇ



Aa



22





rdquoArdquo


ŔA



â^



amacr



a



sublptrAsublptra




ŢaŢ

whistleAwhistlea






Aa


a˜

utAuta

A˚

a˚









23


Aa acutusAacutusa

Aa breveAbrevea



Aa gravisAgravisa

Aa macronAmacrona







A


a

underarcAunderarca



rdquo when ldquoA

rdquo is

expected)


Auml

auml

DADa A˘

a˘

UAUa

Aa TATa



A˓a˓ kAka

24


A a cbAcba


















25






















26





| rupee














27


CC cc $∖ ccnc

C ccsa

BY ccby = ccnd

























textopenbullet


h permil

28

29















oc ˆ shneg wn





30






















31























LHD B rhd E unlhd





32









































33




































34




























35











































36









cshuffle shuffle


odplus














a boxminus d odot


37








































38









































39






























infin

119894=0

119891(119909)

in display mode


40








































41



⨂⨂bigotimes

⋀ ⋀bigwedge


bigcup⨆ ⨆

bigsqcup∐∐

coprodsumsum

sum⨀⨀bigodot

⨄ ⨄biguplus

int intint⨁⨁

bigoplus⋁ ⋁

bigvee∮ ∮

oint


intint intintiint





intidotsint


embigbox

g obiginterleave

bigsqcap

bjbigcurlyvee

bignplus

`hbigtriangledown

ckbigcurlywedge

f nbigparallel

aibigtriangleup

42


r wint

sxiint

tyiiint

u zoint

voiint






Ĳ

ň

bigcurlyveeYacute

yacute

bigboxslashEacute

eacute

bigoright

Ű

ę

bigsqcapOgrave

ograve

bigboxtimesIacute

iacute

bigoslash

Ż

ń

bigcurlywedgeUacute

uacute

bigboxtopEcirc

ecirc

bigotop

Ouml

ouml

bigboxasteriskszlig

szlig


iuml

bigotriangleup

THORN

thorn

bigboxbackslashUuml

uuml

bigboxvoidIgrave

igrave

bigovoid

Ucirc

ucirc

bigboxbotŠ

ć

bigcomplementopŘ

ă

bigplus

Otilde

otilde

bigboxcircAElig

aelig

bigoasteriskŸ

ĺ

bigsquplus

Œ

œ


icirc

bigobackslashŚ

ą

bigtimes

Oacute

oacute

bigboxdivEuml

euml

bigobotţ

iexcl

iiint

Ocirc

ocirc

bigboxdotAring

aring

bigocircť

ĳ

iint


43


Oslash

oslash

bigboxleftCcedil

ccedil

bigocoasteriskş

ż

int

Ntilde

ntilde

bigboxminusAtilde

atilde

bigodivů

pound

oiint

ETH

eth

bigboxplusEgrave

egrave

bigoleftű

iquest

oint

Ugrave

ugrave

bigboxrightAacute

aacute

bigominus


bigsqcapplus

13ointclockwise

bigsqcupplus

ointctrclockwise

gt fint

R Ssqiiint

(idotsint

P Qsqiint

ampiiiint

sqint

$iiint


iint


L Moiiintclockwise




) oiiint

- varointclockwise


44


H Ioiintclockwise


Aoiintctrclockwise

varprod

oiint


macr ˙dotsint

ı ointclockwise

ffl fint


ˇ ˘iiiint

rdquo bdquosqiint

˝ ˚iiint

rsaquo ldquosqint

˜ umliint

varoiint

amplanddownint


$landupint


sbquo lsaquooiint

45



bigints


bigintss


bigintsss∮ ∮

bigointsss

int intbigintssss

∮ ∮bigointssss
















46
























47










intup





⅀ ⅀

Bbbsum⨈ ⨈


⋂ ⋂


⋃ ⋃




⨃ ⨃


⨀ ⨀


prod

⨁ ⨁


⨂ ⨂


⨅ ⨅


⨆ ⨆


sum

⫿ ⫿


⨉ ⨉


⨄ ⨄


⋁ ⋁


xbsol

⋀ ⋀


xsol


modtwosum

⨇ ⨇



49





















50













intclockwise

ointclockwise

oiiint

ointctrclockwise

oiint


int

) Garamond (int

) and

Charter (int

)

51





˙bigparr

˘bigwith
























52







nshortmid 0 nvdash


A inplus B niplus



Z Join logof
















h eqsim [ openJoin


53








nequiv nsucceqq






























54









































55
































56




























57



































58















































59







































not nparallel nsucc

nprec nsucceq

60


















































61




























≢ nequiv ≁ nsim






= Coloneqq dblcolon




62


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119886119887119888

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119886119887119888



119886119887119888


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119886119887119888


119886119887119888


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119886119887119888


119886119887119888

119889119890119891



119886119887119888


119886119887119888

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119886119887119888


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119886119887119888


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119886119887119888


119886119887119888



119886119887119888

119889119890119891


119889119890119891sdtstileabcdef 119886119887119888


119886119887119888

119889119890119891




119886119887119888

119889119890119891




119886119887119888

119889119890119891




119886119887119888



119886119887119888

119889119890119891

ttdtstileabcdef

119886119887119888



119886119887119888

119889119890119891

ttststileabcdef

119886119887119888

119889119890119891ndtstileabcdef 119886119887119888


119886119887119888


119886119887119888



119886119887119888

119889119890119891

ttttstileabcdef

119886119887119888



119886119887119888




63





dfourier

Dfourier

fourier Fourier



uml coh ˝ scoh

˚ incoh ˇ sincoh


˛ multimapboth















64












sqsubset A sqsupset


















65

































66





































67


apprge gt apprle




















68























69






























≦ leqq pound nggg









70

































71























⩺ gtcir ≨ lneqq










72























73


































74

Table 138 Arrows













nabla middot rdquo)

Table 139 Harpoons


















75







































76













































77




























78


















































79



















80










































81


















































82












































83


















































84






























85


barleftarrow Lsh




























leftarrowtail Rsh

















linefeed upuparrows



86



































87






































Ldsh Rrightarrow

larr leftarrow Rsh













88




























⟻ longmapsfrom



89











































90











A chemarrow



91













Requires stmaryrd








92























93
























nsmile smile

















94



























95




mapstochar rhook















96


120572 alpha 120579 theta 119900 o 120591 tau







120578 eta 120585 xi























97



























π pi ρ rho

$ varpi varrho


98








varg














99



























for top

100





















e e j im


isin in 3 owns

6isin notin smallin


notsmallowns


101





















z llcorner lrcorner




102











niv vin



dArr Downarrow [[

[ ]]

]

⟨⟨

langle ⟩⟩

rangle |

|

|

lceillceil

lceil rceilrceil


uArrUparrow

lfloorlfloor

lfloor rfloorrfloor



((

( ))

)

⧸

∖

backslash



103


⎧⎩ ⎧⎪⎪⎪⎪⎩ lgroup⎫⎭ ⎫⎪⎪⎪⎪⎭ rgroup





|

lvert |

rvert

lVert

rVert




~

llbracket

rrbracket


v

1

ldbrack w

9

rdbrack

7

7

7

7

7

lfilet

rfilet

~

ffl

ffl

fflthickvert ~

vvvert

104


XXXXXXXXX Arrowvert







lfloor⎫⎪⎭



⎧⎪⎩⎧⎪⎪⎪⎪⎩ lgroup


[⎡⎢⎢⎢⎢⎣


]⎤⎥⎥⎥⎥⎦


rsem

( ( (⎧⎪⎭


______rWavy

) ) ) lrcorner^ ^

^ rwavy

⟦LPPPPN

lsem ulcorner

⟨ ⟨ lt^ ^


⟩ ⟩ gt___





rbrace


105



darr



dArr



















⎫⎪⎭⎫⎪⎪⎪⎪⎭ rgroup ∥

∥∥∥∥∥∥ Vert


106


( ( lparen⎫⎪⎩





Arrowvert ⟪

⟪

lAngle rceil

rceil

rceil

arrowvert

lbrace rfloor

rfloor

rfloor

∖

backslash ⦃

⦃

lBrace ⟯

⎧

⎪

⎩

rgroup

⤋⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤋

Ddownarrow ⟦

⟦

lBrack ⎱

⎫

⎪

⎩

rmoustache

⟱⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟱

DDownarrow ❲

❲

lbrbrak ⦆

⦆

rParen

darrdarr

downarrow lceil

lceil

lceil uarruarr

uparrow


Downarrow lfloor

lfloor


Uparrow

[

[

[ ⟮

⎫

⎪

⎭


Updownarrow

]

]

] ⎰

⎧

⎪

⎭

lmoustache uarrdarr

updownarrow



(

(

( ⦅

⦅

lParen ⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊

Uuparrow

)

)

) ⟫

⟫

rAngle ⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰

UUparrow

∕

⟩

⟩

rangle

Vert

⟨

⟨

lt

rbrace |

|

|

|

|

|

|

vert

⟩

⟩

gt ⦄

⦄

rBrace ⦀

⦀

⦀

⦀

⦀

⦀

⦀

Vvert

|

|

|

|

|

|

|

| ⟧

⟧

rBrack

⟨

⟨

langle ❳

❳

rbrbrak


ETH

ETH

ETH

ETH

ETH

leftwave ETH

ETH

ETH

ETH

ETH

rightwave

Ntilde

Ntilde

Ntilde

Ntilde

Ntilde

leftevaw Ntilde

Ntilde

Ntilde

Ntilde

Ntilde

rightevaw


108


⟨⟨⟨⟨

lAngle ⟩⟩⟩⟩

rAngle

[[[[

lBrack ]]]]

rBrack



rCeil



rFloor

||

lVert ||

rVert




⟨⟨⟨⟨⟨⟨


triplegt

[[[[[[

triple[ ]]]]]]

triple]

|||

ltriple| |||

rtriple|




llbracket

rrbracket

VERT

109


















119886 ddddota




119886 )

110


a veca






a veca


a acutea a hata







a ddddota a ovhooka


a ddota a tildea

a dota a veca


a gravea


Andash



111


ringa
















radic119886119887119888 rdquo


112



˚119886119887119888 wideringabc





abclaquo















113



⏞⏞⏞119886119887119888 overbraceabc 119886119887119888

underleftarrowabc

119886119887119888 overbracketabc 119886119887119888

underleftharpoonabc




underparenabc







119886119887119888⏟⏟⏟

underbraceabc







119886119887119888loomoon


119886119887119888loooon




114





rdquo













119886119887119888 utildeabc


115






















116


abcDGGGGGGG


abcGGGGGGGA


abcEGGGGGGGGGGGGGGC


abcGGGGGGGBFGGGGGGG







119886119887119888==== xlongequalabc





119886119887119888==== xlongequalabc







117




minusrarr119886119887119888 vs




119886119887119888dftabc

119886119887119888DFTabc
















119886119887119888


119886119887119888


119886119887119888


119886119887119888







118


119886119887119888119889119890119891

holterabcdef119886119887119888119889119890119891

polterabcdef

Table 269 Dots





Table 270 119964ℳ119982 Dots



dotsc dotso





119







fivedots udotdot








hdotdot udotdot


Table 274 stix Dots







ddots

iddots vdots


120


adots


antilabe



119887119886











121















X x E e










trprime backtrprime

qprime

122































123





surd





















124
































125




































126


∟ rightangle

127
















128






129





deg degree Ω ohm















A AR



130


119886119887119888 phaseabc




















131











| faMercury faSunO









132












K Fortune









2 DSC 4 IC Vertex











133






























134


SOH BS SI SYN GS

STX HT DLE ETB RS

ETX LF DCa CAN US

EOT VT DCb EM

ENQ FF DCc SUB

ACK - CR DCd ESC

BEL SO NAK FS




ANDd BUFu NANDl ORd


ANDr INVd NANDu ORr

ANDu INVl NORd ORu

BUFd INVr NORl

BUFl INVu 13 NORr

BUFr NANDd NORu


135













female male


female male















136

































137























138

5 Dingbats
















139























arrowbullet











140


















pencil








141














pointright








142













eastcross westcross












143


ballotcheck ballotx





















144





































145
































146



























147


















































148






































149
































150




















151

























152

6 Ancient languages




























153


A HA I HI n Hn T HT

a Ha i Hi O HO t Ht









E HE L HL R HR X HX

f Hf l Hl r Hr x Hx

F HF m Hm s Hs Y HY

G HG M HM S HS y Hy



H HH N HN Σ Hsv
















154




















































155










































156





























157































158





















159































160
































161























162

7 Musical symbols






textmusicalnote














163


R allabreveffl

lsf W shake

K altoclefndash

lsfz X Shake














A hs n Segno 8 wq



164















Aaaa


Aaaa


Alal KrAKra








165


eighthNote


eighthNoteDottedC


copy sixteenthNote



eighthNoteDown



u halfNoteDotted

sixteenthNoteDown


thirtysecondNoteuu











C crotchetu


minimDown



quaverDotted

ucrotchetDottedDown

quaverDottedDouble

CcrotchetDown


Z

demisemiquaver

quaverDottedDown

Z


quaverDown

Z


copy semiquaverZ



u minimDotted




semiquaverDown

166






clefC clefF clefG









flat sharpArrowup





167













lilyRF lilyRFZ










fermata





168










































169






























lilyGlyphrests4






lilyGlyphpedale

170

































171




























172

















































173



















































174




















































175




















































176


















































177

































178



































179






180

8 Other symbols



























181

































182




























Cube1 Cube3 Cube5

Cube2 Cube4 Cube6



183



0 i i01 i1 i102 i2 i203 i3 i30










Table 470 stix Dice

dicei diceiii dicev


184





∙ ∙∙∙ bullcntr⟨6 ⟩ ∙∙∙




newcounterbull


setcounterbull1

bullcntrbull


small large heart


∙ ∙∙ ∙∙∙ ∙




fcscore2 fcscore4





185


A skull


O rip



















186
























187












times

amacr

bBm cc ˘ Mbb ˙˙

Pppp otimes

t

˘ Bmacr


˙pppp tsbm

˘ bmacr

Bbmmacr

m ∘∘ oo ˙˙

Ppppp tsmb

˘ Bb ˘ bbmbmacr

M˙

p ˙˙

ppppp tsmm

˘ BBmacr ˘


pm psmacr

vppm

˘ bbmacr


vpppm

˘ bBmacr



ppm sim

R


ppp sim

r


˙Ppp otimes

T







188

















Homer Maggie SNPP

Burns

Lisa

Marge


LeftBart

189



























190































191


uml Greenpoint




A recycleA Recycle

A RECYCLE






Postbox Telephone

192



























193



Finland Portugal

France Romania


194







Italy




195

























196






















197












bcstop








bcdz bcours

bceclaircie bcoutil


198


















































199




















































200




















































201










































202













203



usepackagepifont



usepackagepifont






















204


















































205































206








































207









































208







































209
































210


































211



































212






















213






































214






































215





































216


























217



































218



































219






































220





































221















































222

Table 519 dice Dice












s[4] dice3d



223





































224











































225















226

Table

522

Sym

bol

Nam

eC

lash

es

Sym

bol

LAT

EX

2 120576119964ℳ119982

stmaryrd

wasysym

mathabx

marvosym

bbding

ifsym

dingb

atwsuipa

baro

lt

bigtriangledown

`

bigtriangleup

a

checkmark

XD

Circle

5

Cross

ggg

≫Iuml

Letter

B

lightning

Lightning

E

lll

≪Icirc

Square

f

0Sun

Agrave

TriangleDown

o3

TriangleUp

n1

227



R R Rtextrecipe



⎫⎪⎪⎪⎪⎪⎪⎪⎬⎪⎪⎪⎪⎪⎪⎪⎭


⎮⎮⎮⎮

⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮uarr

⎫⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎬⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎭

minusrarr

⎫ top


⎬ middle


⎭ bottom


228







newcommandtextlongs











229


















by Peter Flynn


raisebox-5ex


begintabularcc


endtabular




230




newcommandthreesim






makeatletter




makeatother



newcommandsuchthat



newcommandrqm



231




vs







topbotatomtextstyle




defXint1mathchoice





int



defddashintXint=

defdashintXint-



one (ldquo=int








232














advancedimen0-02ht0


box0lower04ptbox2



(ldquordquo)9





makeatletter





makeatother




233







makeatletter




makeatother








119891 rdquo and







makeatletter



mkern-7mumathord=$

makeatother


234


definition=======




defarraystretch0





cline2-2

rule[125pt]0ptht0

1 amp 2

endarray



makeatletter






















makeatother


235






119860119861119862119863










236











lower



endcharend


237





1

2

3

4

5

6677

8






∖table

∖bye[1]





238


0 1 2 3 4 5 6 710x A

˝4x11x

˝8 ˝9 ˝A ˝B ˝C ˝D ˝E ˝F












239





















240


Package Code Output





33 21

34 22 textquotedbl

35 23

36 24 $ $ $

37 25

38 26 amp amp amp


40 28 ( ( (

41 29 ) ) )

42 2A

43 2B + + +

44 2C

45 2D - - -

46 2E

47 2F

48 30 0 0 0

49 31 1 1 1

50 32 2 2 2

57 39 9 9 9

58 3A

59 3B


61 3D = = =



63 3F

64 40

65 41 A A A

66 42 B B B

67 43 C C C

90 5A Z Z Z

91 5B [ [ [


93 5D ] ] ]

94 5E ^ ^ ^

95 5F _ charlsquo_


97 61 a a a

98 62 b b b

99 63 c c c

122 7A z z z

123 7B charlsquo

124 7C | textbar |

125 7D charlsquo

126 7E ˜ ~ ~




241


















242



161 A1 iexcl lsquo









184 B8 cedil c



192 C0 A lsquoA

193 C1 A rsquoA

194 C2 A Â

195 C3 A ~A

196 C4 A A

197 C5 A AA

198 C6 AElig AE

199 C7 C cC

200 C8 E lsquoE

201 C9 E rsquoE

202 CA E Ê

203 CB E E

204 CC I lsquoI

205 CD I rsquoI

206 CE I Î

207 CF I I

208 D0 ETH DH (T1)


209 D1 N ~N

210 D2 O lsquoO

211 D3 O rsquoO

212 D4 O Ô

213 D5 O ~O

214 D6 O O


217 D9 U lsquoU

218 DA U rsquoU

219 DB U Û

220 DC U U

221 DD Y rsquoY


224 E0 a lsquoa

225 E1 a rsquoa

226 E2 a â

227 E3 a ~a

228 E4 a a

229 E5 a aa

230 E6 aelig ae

231 E7 c cc

232 E8 e lsquoe

233 E9 e rsquoe

234 EA e ê

235 EB e e

236 EC ı lsquoı

237 ED ı rsquoı

238 EE ı ^ı

239 EF ı ı

240 F0 eth dh (T1)241 F1 n ~n

242 F2 o lsquoo

243 F3 o rsquoo

244 F4 o ô

245 F5 o ~o

246 F6 o o


249 F9 u lsquou

250 FA u rsquou

251 FB u û

252 FC u u

253 FD y rsquoy


243


Microsoftreg Windowsreg normally uses a superset of Latin 1 called ldquoCode Page 1252rdquo or ldquoCP1252rdquo forshort CP1252 introduces symbols in the Latin 1 ldquoinvalidrdquo range (characters 128ndash159) Table 531 presentsthe characters with which CP1252 augments the standard Latin 1 table





134 86 dagger dag

135 87 Dagger ddag




142 8E Z vZ


145 91 lsquo lsquo

146 92 rsquo rsquo




150 96 ndash --

151 97 mdash ---



154 9A s vs


158 9E z vz

159 9F Y Y










244





usepackageucs


usepackagetextcomp


begindocument


which produces

It was a balmy 21






usepackagefontspec




245

begindocument



enddocument

which produces














246











247











248

References




bask4 4ps












249

Index




( (() 105

( (

(

) 108

) ()) 103

) ()) 105

) (

)

) 108

() 33 240- (-) 243 244 (a) 21 () 103

() 105

(

) 108

( ) 121

() 121

lt (⟨) 105

lt (

⟨

) 108

() 121

[ ([) 103

[ (⎡⎢⎢⎢⎢⎣) 105

[ (

[

) 107

231] (]) 103

] (⎤⎥⎥⎥⎥⎦) 105

] (

]

) 107

^ (a) 21

^ (^) 14 242| () 103| () 103 105| (iquesta) 21= (a) 21= (macr) 242| (∣) 107

| (

RRRRRR) 105

| (

|

|

|

|

|

|

) 108| (|) 52 103 105 109( (() 107) ()) 107 () 107[ ([) 107_ 15_ ( ) 14 242 () 14 15 103 () 242 () 14 15 103 () 242] (]) 107lsquo (a) 21~ (a) 21~ (˜) 14 242


) 188a (a) 162





rvert












250










AchtBL ( ˇ ldquo==

) 165








adfbullet1 (A) 145

adfbullet2 (B) 145

adfbullet3 (C) 145

adfbullet4 (D) 143

adfbullet5 (E) 143

adfbullet6 (F) 143

adfbullet7 (G) 143

adfbullet8 (H) 143

adfbullet9 (I) 143

adfbullet10 (J) 143

adfbullet11 (K) 145

adfbullet12 (L) 145

adfbullet13 (M) 145

adfbullet14 (N) 145

adfbullet15 (O) 145

adfbullet16 (P) 145

adfbullet17 (Q) 145

adfbullet18 (R) 145

adfbullet19 (S) 145

adfbullet20 (T) 145

adfbullet21 (U) 145

adfbullet22 (V) 145

adfbullet23 (W) 145

adfbullet24 (X) 145

adfbullet25 (Y) 145

adfbullet26 (Z) 145

adfbullet27 (a) 150

adfbullet28 (b) 150

adfbullet29 (c) 150

adfbullet30 (d) 150

adfbullet31 (e) 150

adfbullet32 (f) 150

adfbullet33 (g) 150

adfbullet34 (h) 150

adfbullet41 (o) 150

adfbullet42 (p) 150

adfbullet43 (q) 150

adfbullet44 (r) 150

adfbullet45 (s) 150

adfbullet46 (t) 150

adfbullet47 (u) 150

adfbullet48 (v) 150

adfbullet49 (w) 150

adfbullet50 (x) 150

adfbullet51 (y) 150

adfbullet52 (z) 150



adfdiamond (=) 152




(I) 152

251


(i) 152







(L) 146


(m) 146


(M) 146




(N) 146








(f) 152



adfgee (para) 152















adfleafleft (w) 146





adforn (package) 140 145 146152 247 248














adots ( ) 121 234



Alad () 110







and |

AltGr ( AltGr ) 134


119964ℳ119982 (package) 12 15 3142 52 53 65 67 72 7576 92 96 97 99 100 102104 110 113 116 119 123124 129 226 227 246


230 240

252

amssymb (package) 12 110 124128 159 247



162and see wedge

AND gates 135

ANDd () 135


ANDr () 135


Angstrom (Å) 101


text mode see AA





aoverbrace (⏞ ⏟

) 115Ape (p) 153APL

















253

Arrowvert (

) 104

Arrowvert (

XXXXXX) 105


) 107


arrowvert (

RRRRRR) 105

arrowvert () 107















Austria () 194



(EGGGGGGGGGGC) 117



(GGGGGBFGGGGG) 117




macr) 21

b (˘) 188b (b) 162



backslash () 106

backslash () 105

backslash (∖) 126

backslash (

) 107


Baii () 157




254







Bart (




BasicTree 197



bauforms (Ξ) 182

bauhead (Λ) 182

bausquare (Γ) 150


BB (˘ ) 188

Bb (˘ ) 188

bB (˘ ) 188

bb (˘ ) 188

bba ( times) 188

bbalpha () 129

bbar () 230

bbb (˘) 188

bbbeta () 129

Bbbk (k) 100

Bbbk (k) 101

Bbbk (k) 101

Bbbsum (⅀

) 48


bbdollar ($) 129

bbetter (g) 186

bbeuro (ucirc) 129


bbgamma (13) 129


BBm (macr

) 188

Bbm (macr

) 188

bBm (macr

) 188


bbm (macr

) 188

bbmb ( ˘) 188

bbmx (macr ˘

) 188

bbnabla () 129


bbpe (Ocirc) 129

bbqof (times) 129

bbrevis (ς) 189

bbrktbrk () 126

bbslash (13) 32

bbslash (=) 35

bbyod (Eacute) 129

bcattention ( ) 197

bcbombe ( ) 197

bcbook ( ) 197


bccle ( ) 198

bcclefa ( ) 198

bcclesol ( ) 198

bccoeur ( ) 198

bccrayon ( ) 198

bccube ( ) 198


bcdanger ( ) 198

bcdautriche ( ) 198

bcdbelgique ( ) 198

bcdbulgarie ( ) 198

bcdfrance ( ) 198

bcditalie ( ) 198



bcdpaysbas ( ) 198

bcdz ( ) 198

bceclaircie ( ) 198

bcetoile ( ) 197

bcfemme ( ) 197

bcfeujaune ( ) 197

bcfeurouge ( ) 198


bcfeuvert ( ) 198

bcfleur ( ) 198

bchomme ( ) 198

bchorloge ( ) 198

bcicosaedre ( ) 198

bcinfo ( ) 198

bcinterdit ( ) 198

bclampe ( ) 198

255


bcloupe ( ) 198

bcneige ( ) 198

bcnote ( ) 198

bcnucleaire ( ) 198

bcoctaedre ( ) 198

bcoeil ( ) 198

bcontraction 236

bcorne ( ) 198

bcours ( ) 198

bcoutil ( ) 198

bcpanchant ( ) 197


bcpluie ( ) 197

bcplume ( ) 198

bcpoisson ( ) 198

bcquestion ( ) 198

bcrecyclage ( ) 198

bcrosevents ( ) 198

bcsmbh ( ) 198

bcsmmh ( ) 198

bcsoleil ( ) 198


bcstop (STOP

) 198

bctakecare ( ) 198

bctetraedre ( ) 198

bctrefle ( ) 198

bctrombone ( ) 198


bcvelo ( ) 198

bcyin ( ) 198

Bda (d) 157





Bdwe (gt) 157

Bdwo () 157






rdquoardquo) 23


equiv







e) 42



THORN

) 43bigboxbot (

Ucirc

) 43bigboxcirc (

Otilde


Œ

) 43bigboxdiv (

Oacute

) 43bigboxdot (

Ocirc

) 43bigboxleft (

Oslash

) 44bigboxminus (

Ntilde

) 44bigboxplus (

ETH

) 44bigboxright (

Ugrave

) 44bigboxslash (

Yacute

) 43bigboxtimes (

Ograve

) 43bigboxtop (

Uacute


szlig

) 43bigboxvoid (

Uuml

) 43bigcap (

⋂) 42


bigcap (⋂


BigCircle () 149


Š

) 43


⋃) 42

bigcup (⋃) 47

256

bigcup (⋃) 46

bigcup (⋃


bigcupdot (⨃


Ĳ

) 43bigcurlyvee (

b) 42


Ż

) 43bigcurlywedge (

c) 42



BigHBar () 149

bigint (

int) 46

biginterleave (g


bigints (

int) 46

bigintss (

int) 46

bigintsss (

int) 46

bigintssss (int

) 46

biginvamp (˙

) 52


) 42


AElig

) 43bigobackslash (

Icirc


Euml

) 43bigocirc (

Aring


Ccedil

) 44bigodiv (

Atilde

) 44bigodot (

⨀) 42


bigodot (⨀

) 49

bigoint (

∮) 46

bigoints (

∮) 46

bigointss (

∮) 46

bigointsss (

∮) 46

bigointssss (∮

) 46

bigoleft (Egrave

) 44bigominus (

Aacute


⨁) 42


bigoplus (⨁

) 49bigoright (

Eacute

) 43bigoslash (

Iacute


⨂) 42


bigotimes (⨂

) 49bigotop (

Ecirc


Iuml


Igrave

) 43bigparallel (

f) 42

bigparr (˙

) 52bigplus (

Ř



Ű

) 43bigsqcap (

) 42


bigsqcap (⨅


) 44


⨆) 42


bigsqcup (⨆


) 44


BigSquare ( ) 149

bigsquplus (Ÿ

) 43

bigstar (lsaquo) 33

bigstar (F) 124


bigstar () 147

bigstar () 147

bigstar () 148

bigtalloblong (⫿

) 49

bigtimes (Ś

) 43

bigtimes (⨉) 47

bigtimes (⨉) 47

bigtimes (⨉

) 49

bigtop (⟙) 126


bigtriangledown (`

) 42


) 227









bigtriangleup (a

) 42

bigtriangleup ( vsa

) 227



bigtriangleup () 73


biguplus (⨄

) 42

biguplus (⨄) 48

biguplus (⊎) 47

biguplus (⨄

) 49


BigVBar () 149

bigvee (⋁

) 42

bigvee (⋁) 47

bigvee (⋁) 47

bigvee (⋁

) 49

bigveedot () 47

bigveedot () 47

bigwedge (⋀

) 42

bigwedge (⋀) 47

bigwedge (⋀) 47

bigwedge (⋀

) 49

bigwedgedot () 47

bigwedgedot () 47

bigwhitestar () 148

bigwith (˘

) 52

binampersand (N) 32




257

negated 53 54 56ndash57 5960 62


Bja (j) 157

Bje (J) 157

Bjo (b) 157

Bju (L) 157

Bka (k) 157

Bke (K) 157

Bki (c) 157

Bko (h) 157

Bku (v) 157BL () 134black 188







148

















macr) 188

bm (package) 241 247 248bm 241bm (

macr) 188

Bma (m) 157


Bmi (y) 157

Bmo (A) 157bmod 96

Bmu (B) 157

Bna (n) 157

BNc (laquo) 157

BNcc (raquo) 157

BNccc (ndash) 157

BNcd (mdash) 157

BNcm (ff) 157

BNd (zwnj) 157

BNdc (permil) 157

BNdcc (ı) 157

BNdccc (ȷ) 157

Bne (N) 157

BNi (acute) 157

Bni (C) 157

BNii (ˆ) 157

BNiii (˜) 157

BNiv (uml) 157

BNix (macr) 157

BNl (lsaquo) 157

BNlx (rsaquo) 157

BNlxx (ldquo) 157

BNlxxx (rdquo) 157

BNm (fi) 157

Bno (E) 157bNot (⫭) 61

Bnu (F) 157

BNv (˝) 157

BNvi (˚) 157

BNvii (ˇ) 157

BNviii (˘) 157

Bnwa () 157

BNx (˙) 157

258

BNxc (bdquo) 157

BNxl (sbquo) 157

BNxx (cedil) 157

BNxxx (˛) 157


48 60 66 71 74 86 8799ndash102 111 123 125 147151 159 163 247








Bpa (p) 157

Bpaiii ([) 157

BPamphora (Ž) 158

BParrow (ĳ) 158

BPbarley (Ş) 158

BPbilly (ť) 158

BPboar (ľ) 158

BPbronze (Ű) 158

BPbull (ň) 158




BPchassis (ź) 158

BPcloth (Ř) 158

BPcow (ŋ) 158

BPcup (Ÿ) 158

Bpe (P) 157

BPewe (š) 158

BPfoal (ě) 158

BPgoat (ş) 158

BPgoblet (Ź) 158

BPgold (Ů) 158

BPhorse (ď) 158

Bpi (G) 157

BPman (ă) 158

BPnanny (ț) 158

Bpo (H) 157

BPolive (Ț) 158

BPox (ń) 158

BPpig (ĺ) 158

BPram (ś) 158

BPsheep (ř) 158

BPsow (ł) 158

259

BPspear (iexcl) 158

BPsword (ż) 158

BPtalent (Ď) 157

Bpte (]) 157

Bpu (I) 157

Bpuii () 157

BPvola (Ĺ) 157

BPvolb (Ľ) 157

BPvolcd (Ł) 157

BPvolcf (Ń) 157

BPwheat (Š) 158

BPwheel (ž) 158

BPwine (Ť) 158

BPwineiih (Ż) 158

BPwineiiih (Ĳ) 158

BPwineivh (İ) 158

BPwoman (ą) 158

BPwool (Ś) 158

BPwta (Ă) 157

BPwtb (Ą) 157

BPwtc (Ć) 157

BPwtd (Č) 157

Bqa (q) 157

Bqe (Q) 157

Bqi (X) 157

Bqo (8) 157




bracevert (

⎪⎪⎪⎪⎪⎪) 105


Braii (^) 157




Bri (O) 157

Bro (U) 157


Bru (V) 157BS () 135

Bsa (s) 157




Bsu (2) 157

Bswa () 157

Bswi (|) 157

Bta (t) 157

Btaii () 157

Bte (T) 157


Bto (4) 157

Btu (5) 157

Btwe (shy) 158

Btwo (~) 157

Bu (u) 157


BUFl () 135

BUFr () 135

BUFu () 135

BUi (fl) 158

BUii (ffi) 158

BUiii (ffl) 158

BUiv () 158


∙∙ ∙∙ ) 185bullcntr⟨5 ⟩ (


∙∙∙∙∙∙∙∙∙) 185




Burns (


BUv () 158

BUvi () 158

BUvii () 158

BUviii ($) 158

BUx (amp) 158

BUxi (rsquo) 158

BUxii (shy) 158

Bwa (w) 157

Bwe (W) 157

Bwi (6) 157

Bwo (7) 157BX () 134

Bza (z) 157

Bze (Z) 157

Bzo (9) 157


Ca (a) 158

caesura (O) 164


260


capbarcup (⩉) 36


capovercup (⩇) 36







CB (-) 134cb (a ) 25Cc ( ) 188









144 152 181 182 199ndash202227





checkmark () 126



checksymbol (+) 186


247



chessetc (P) 186


Chi (X) 97chi (120594) 97

ChinA2e (package) 26 96 129191 192


Ci (i) 158


circ () 39circ () 33circ () 148 149



Circle () 146

261

Circle (5) 149













Cja (j) 158

Cjo (b) 158

Cka (k) 158

Cke (K) 158

Cki (c) 158

Cko (h) 158

Cku (v) 158

Cla (l) 158



clefF ( ) 167

clefFInline 167




clock (i1) 184



Cma (m) 158

Cme (M) 158



Cmu (B) 158

Cna (n) 158

Cne (N) 158

Cni (C) 158

Cno (E) 158

Cnu (F) 158

262

CO () 134


Coda (i) 164







COMPLEX (raquo) 96



work 1 12 112 129 135226 244ndash246






conjquant (⨇


and amp







∐) 30 42


coprod (∐




Cpa (p) 158

Cpe (P) 158

Cpi (G) 158

Cpo (H) 158

Cpu (I) 158

CR (-) 134 135cr 231

Cra (r) 158



Cri (O) 158


Cross () 143

Cross () 149

Cross () 150

263


crossb () 19







(uu) 166





Ŕa) 23




Csi (Y) 158

Cso (1) 158




Cti (3) 158

Cto (4) 158Ctrl ( Ctrl ) 134

Ctu (5) 158

Cu (u) 158

Cube ( ) 183229

cube root see sqrt


cupbarcap (⩈) 36


cupovercap (⩆) 36










264

cwnwarcarrow () 82



Cxa (x) 158

Cxe (X) 158

Cya (j) 158



Czo (9) 158

DD (D) 162D (a

uml) 24


laplac





int) 232


DavidStar (0) 145



int) 232


) 110

dddot () 111dddot (

) 110

dddtstile ( ) 63

ddigamma (ϝ) 159


ddots ( ) 120

ddots ( ) 119 234


DDownarrow (⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟱

) 107


Ddownarrow (⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤋

) 107

ddststile ( ) 63

ddtstile ( ) 63

ddttstile ( ) 63



265

DEL () 135DEL () 135Del ( Del ) 134

Del ( Del ) 134




symbols




(Z


(Z ) 166


(Z ) 166







DFT ( ) 118











266





267



disjquant (⨈










dnststile ( ) 63

dntstile ( ) 63




does not imply 232


dollar sign see $

dominance see prec

negative see nprec


strict see Prec











macr) 45


dottedtilde (a) 23




268


Downarrow (



) 107


downarrow (


















269

dststile ( ) 63


dtdtstile ( ) 63


dtststile ( ) 63

dttstile ( ) 63

dtttstile ( ) 63










eighthNote ( ) 166




166


( ) 166



EightStar (H) 145













End ( End ) 134



Enter ( Enter ) 134

enumerate 185


EOafter (sect) 160

EOandThen (Ş) 160

EOAppear (Ť) 160

EOBeardMask (t) 160

EOBedeck (ą) 160

EOBlood (u) 160

EObrace (ć) 160


EOBundle (v) 160

EOChop (w) 160


EODealWith (r) 160

EODeer (Ţ) 160

EOeat (Ű) 160

EOflint (đ) 160

EOflower (č) 160

EOFold (Auml) 160

EOGod (ď) 160

EOGoUp (Acirc) 160

EOgovernor (ę) 160

EOGuise (z) 160


EOja (V) 160

EOjaguar (ĺ) 160

EOje (U) 160

270

EOJI (-) 160

EOji (T) 160

EOjo (Y) 161

EOju (X) 161

EOkak (m) 161

EOke (D) 161

EOki (C) 161

EOkij (Ź) 161

EOKing (Ă) 161



EOko (H) 161

EOku (G) 161

EOkuu (E) 161




EOLord (ň) 161

EOLose (Č) 161

EOma (]) 161

EOmacaw (ŋ) 161

EOmacawI (ŕ) 161

EOme ([) 161

EOmexNew (Ď) 161

EOmi (Z) 161

EOMiddle (Ě) 160

EOmonster (ő) 160

EOMountain (ě) 160

EOmuu () 160

EOna (b) 160

EOne (lsquo) 160

EOni (^) 160

EOnow (š) 160

EOnu (c) 160

EOnuu (a) 160

EOofficerI () 160

EOofficerII (|) 160

EOofficerIII () 160

EOofficerIV (~) 160

EOpa (3) 160

EOpak (n) 160

EOPatron (Ś) 160

EOPatronII (Ů) 160

EOpe (1) 160

EOpenis (ť) 160

EOpi (0) 160

EOPierce (Ÿ) 160

EOPlant (Ę) 160

EOPlay (Ğ) 160

EOpo (6) 160

EOpriest (ţ) 160

EOPrince (Ĺ) 160

EOpu (5) 160

EOpuu (2) 161

EOpuuk (o) 161

EORain (Auml) 161

EOSa (L) 161

EOsa (R) 161


EOSaw (y) 161

EOScorpius (q) 161

EOset (Acirc) 161

EOSi (I) 161

EOsi (O) 161

EOsing (ů) 161

EOSini (ľ) 161

EOskin (yuml) 161

EOSky (Ľ) 161



EOsnake (Ż) 161

EOSo (N) 161

EOSpan () 161

EOSprinkle (Ń) 161

EOstar (Ž) 161



EOstep (ű) 160

EOSu (M) 160

EOsu (S) 160

EOsun (ž) 160

EOSuu (K) 160

EOsuu (Q) 160EOT () 135

EOta () 160EOte (8) 160

EOthrone (ż) 160

EOti (7) 160

EOTime (ĳ) 160

EOtime (Ĳ) 160

EOTitle (pound) 160

EOTitleII (Ŋ) 160


EOtu () 160

EOtuki (Ő) 160

EOtukpa (İ) 160


EOtza () 160

EOtze (gt) 160

EOtzetze (Ŕ) 160

EOtzi (=) 160

EOtzu (B) 160

EOtzuu () 160



EOvarji () 161




EOwa (h) 161

EOwe (e) 161

EOwi (d) 161

EOwo (i) 161

271


EOxi (˙) 161

EOxii (cedil) 161

EOxiii (˛) 161

EOxiv (sbquo) 161

EOxix (bdquo) 161

EOxv (lsaquo) 161

EOxvi (rsaquo) 161

EOxvii (ldquo) 161


EOya (l) 161

EOyaj (p) 161





rightleftharpoons





ESC () 135Esc ( Esc ) 134






see nleftrightarrow

nequiv and oplus


272









faBell () 199











273




faDashcube (a) 201










faFacebook (g) 202



faFileO (o) 199



faFileText (p) 199










274

faHome () 200









Fannquant ( ) 121

Fannquantn ( ) 121


Fanquant ( ) 121

Fanquantn ( ) 121










Faquant ( ) 121

Faquantn ( ) 121


275



















276



faUsd (f) 26







39 47 48 57ndash59 66 70 7481ndash85 94 95 99 101 106107 111 113 120 123 125147 151 163 247




Ferli (aa) 165


fermatadown (Q) 164

fermataup (P) 164

Fermi (aa




feyng1 (⨿) 137feyngd (⊑) 137



feyngvs (int) 137


feynm () 137

feynP (119979) 137

feynp (radic) 137

feynx (S) 137

FF () 135

fge (package) 91 102 111 122126 247 248

fgeA (A) 102


fgebaracute (M) 126

fgebarcap (O) 126

fgec (c) 102

fgecap (S) 126

fgecapbar (Q) 126

fgecup (N) 126

fgecupacute (R) 126

fgecupbar (P) 126

fged (p) 102

fgee (e) 102

fgeeszett (ı) 102

fgeeta (rdquo) 102

fgeF (F) 102

fgef (f) 102

fgeinfty (i) 126

fgelangle (h) 126

fgelb 102

fgelb (rdquo) 102

fgeleftB (D) 102

fgeleftC (C) 102

fgeN (rdquo) 102


fgerightarrow () 91

fgerightB (B) 102

fges (s) 102



fgeU (U) 102

fgeuparrow () 91



file (H) 186

file extensions

dvi 244

fd 12 238 245

mf 12 204 236

otf 163

pdf 244

sty 12

tex 244 245

tfm 12 204 226 245






277





















(t) 149







filledstar () 38








fint (gt

) 44

fint (ffl) 45





FiveStar (8) 145










fixedddots ( ) 119

fixedvdots () 119



flapr (D) 19

Flasche ( ) 196

flat () 163

flat (ugrave) 163

flat () 163

flat ( ) 167

flat () 163

flat () 163

flatflat ( ) 167

Flatsteel () 136



Florin (iacute) 26


flourishes 152 213




fltns () 148

Flynn Peter 230

FM () 134

Fncontent ( ) 121

Fnncontent ( ) 121

Fnnquant ( ) 121

Fnnquantn ( ) 121

Fnnquantnn ( ) 121

Fnquant ( ) 121

Fnquantn ( ) 121

Fnquantnn ( ) 121

fnsymbol 185

Fog () 183


7-bit 12

8-bit 12

ASCII 246

Cyrillic 21

document 242 244

Latin 1 246


LY1 12

OT1 12 15 21 234 241242

OT2 229

T1 12 14 15 17 21 242244

T2A 21 229

T2B 21

T2C 21

T4 16 20 21 24

T5 16 21

TS1 229 242

U 229

X2 21

278















Fquantn ( ) 121













279















and PackingWaste



gtreqless (R) 67



gtreqqless (T) 67


gtreqqless (⪌) 70

gtreqqless (⪌) 69

gtreqqless (⪌) 71




280



runesHA (A) 154






(uu) 166


halfNoteDown () 166








HandLeft () 142

HandLeftUp () 142


HandRight () 142



hat ( ) 111


HB (B) 154

Hb (b) 154








248Hhundred (3) 154

HI (I) 154

Hi (i) 154


Hibp (Θ) 154

Hibs (Ξ) 154


mathhill (a

) 23


radic) 233


Hm (m) 154

Hman (ϒ) 154

Hmillion (7) 154

Hms (Δ) 154HN (N) 154Hn (n) 154HO (O) 154

281


holter ( ) 119


Homer (




Hplus (+) 154HQ (Q) 154Hq (q) 154

Hquery () 154


Hs (s) 154

hs (A) 164

Hscribe (Ψ) 154


Hthousand (4) 154

Htongue (Φ) 154

HU (U) 154



Hut () 183


Hw (w) 154HX (X) 154

Hx (x) 154

HXthousand (5) 154

HY (Y) 154


HZ (Z) 154Hz (z) 154hzigzag (〰) 126

II (I) 162



iddots ( ) 120



int) 42

idotsint (

) 44

idotsint (L) 47 48


ifsym (package) 130 149 150183 227 229 247


intintintint) 42

iiiint (

) 44

iiiint (ˇ

) 45

iiiint (⨌) 47


ţ

) 43iiint (

intintint) 42

iiint (t

) 43

iiint (

) 44

iiint (˝

) 45

iiint (∭) 47


ť

) 43iint (

intint) 42

iint (s

) 43

iint (

) 44

iint (˜

) 45

iint (∬) 48


282



and vdash


textquotedbl








int (ş

) 44int (

r) 43

int (r) 43

int (int

) 42

int (int) 48





intclockwise () 51



INTEGER (iquest) 96






intup () 48












irony mark ( ) 229

283



242Italy () 195

JJ (J) 162j (ł) 162j (ȷ) 21j (j) 162

JackStar (2) 145






249symbols by 181







) 45



) 45



lAngle (⟪) 106

lAngle (

⟪

) 107

langle (⟨) 30 103

langle (⟨) 106

langle (⟨) 105

langle (

⟨

) 108

langlebar (n) 105

langledot (⦑) 106


Laplace ( ) 64






largepencil (W) 141




96 103 119 124 139 185

284

204 225 226 229ndash236 239240 242 244ndash246 248 249



latfric () 19

Latin 1 12 242ndash244 246

Latvia () 194

Laughey ( ) 196

laundry symbols 182

LB () 134

Lbag (P) 102

lbag (N) 102

lbag (THORN) 35

lbag (⟅) 103



lBrace (

⦃

) 107

lbrace () 106

lbrace () 107


) 105

lbrace (

) 107

Lbrack ([) 129

lBrack ([[) 109

lBrack (⟦) 106

lBrack (⟦) 107

lBrack (

⟦

) 107

lbrack ([) 106

lbrack ([) 107




Lbrbrak (⟬) 103

lbrbrak (

❲

) 107

LCD numerals 130


lceil (lceil) 103

lceil (lceil) 106

lceil (⎡⎢⎢⎢⎢⎢) 105

lceil (

lceil

) 107












leftevaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108


285



76












leftwave (

ETH

ETH

ETH

ETH

) 108


286


lesseqgtr (Q) 67



lesseqqgtr (S) 67


lesseqqgtr (⪋) 70

lesseqqgtr (⪋) 69

lesseqqgtr (⪋) 72







levaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108


lfilet (

7

7

7

7

) 104


lfloor (lfloor) 106

lfloor (⎢⎢⎢⎢⎢⎣) 105

lfloor (

lfloor

) 107

lftborder () 188


lfttopcorner () 188


lgroup (⎧⎩) 104

lgroup (

⎧⎪⎪⎪⎪⎩) 106

lgroup (⎧⎪⎪⎪⎪⎩) 105

lgroup (⎫

⎪

⎭

) 107




Lightning () 183



lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

287

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 179

lilyGlyph ( ) 178

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 179

lilyGlyph ( ) 180

lilyGlyph ( ) 180

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172


lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172


lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172


lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172

lilyGlyph ( ) 172


lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

288

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171


lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171

lilyGlyph ( ) 171





lilyGlyph ( ) 173

lilyGlyph ( ) 173

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 173

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174

lilyGlyph ( ) 174




289


lilyGlyph ( ) 175

lilyGlyph ( ) 175

lilyGlyph ( ) 176


lilyGlyph ( ) 176

lilyGlyph ( ) 176


lilyGlyph ( ) 176




lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 177

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178

lilyGlyph ( ) 178



lilyGlyph ( ) 170

lilyGlyph ( ) 170

lilyGlyph ( ) 170




290






lilyGlyph ( ) 170



lilyGlyph ( ) 169












291









292






LinearACXXIX () 155






LinearAI () 154



LinearALIX () 156














LinearAX () 155

LinearAXCI (Z) 156





LinearAXLIV (+) 155

LinearAXLIX (0) 155

LinearAXLV () 155




LinearAXXII () 155

LinearAXXIII () 155





Lisa (


293


lJoin (X) 53

lJoin (⋉) 35

LK () 134

ll () 68

ll (≪) 67

ll (≪) 70

ll (≪) 69

ll (≪) 72

llangle (⟪) 105

llangle (⦉) 103

llap 25 233

llarc () 126


llbracket (~) 104

llbracket (

) 109

llceil (V) 102

llcorner (z) 102

llcorner (x) 102


llcorner () 106

llcorner () 105

llcorner () 103

llcurly (Icirc) 54

llcurly (ecirc) 60

LLeftarrow () 89

Lleftarrow (W) 75

Lleftarrow (reg) 86

Lleftarrow () 81

Lleftarrow () 78

Lleftarrow () 89

llfloor (T) 102

lll (Icirc) 68

lll (≪) 67


lll (Ouml) 71

lll (⋘) 70

lll (⋘) 69

lll (⋘) 72

llless see lll

llless (⋘) 70

llless (⋘) 69

llless (⋘) 72

lllnest (⫷) 72





lmoustache (

⎧⎪⎪⎪⎪⎭) 106


lmoustache (⎧

⎪

⎭

) 107





and see wedge

not see neg and sim

or see vee








294




lowint (⨜) 49

lowintsl (⨜) 51

lowintup (⨜) 51


181Lparen (() 129

lParen (

⦅

) 108

lparen (() 107


lrcorner () 106

lrcorner () 105



lsem (LPPPPN) 105


lsf (ffl) 164

lsfz (ndash) 164

Lsh (egrave) 76

Lsh () 75

Lsh () 86

Lsh () 82

Lsh () 77

Lsh () 87

lsime (⪍) 71

lsimg (⪏) 71

lsqhook (⫍) 61

Lsteel () 136

Lt (Icirc) 71

Lt (⪡) 71

ltcc (⪦) 71

ltcc (⪦) 71

ltcir (oslash) 71

ltcir (⩹) 71

ltimes (˙) 33

ltimes (n) 31

ltimes (Ocirc) 35

ltimes (⋉) 34 35

ltimes (⋉) 33

ltimes (⋉) 36


ltlarr (⥶) 71

ltquest (⩻) 71

ltriple 109

ltrivb (⧏) 74

LU () 134

LuaLATEX 163

Luecking Dan 233

Luxembourg () 194

lVert () 104

lVert (||) 109

lVert (

∥∥∥∥∥∥) 106

lvert (|) 104

lvert (

∣∣∣∣∣∣) 106

lvertneqq (ť) 68

lvertneqq () 67

lvertneqq () 71

lvertneqq (≨) 71

lvertneqq (≨) 69

lvertneqq (≨) 71

lVvert (


Lvzigzag (⧚) 103

lvzigzag (⧘) 103

lwave (

ETH

ETH

ETH

ETH

) 108

lWavy (______) 105

lwavy (^^) 105

lz (1) 19

MM 16M (

macr) 188

m 16m (

macr) 188


Maggie ( ) 189









295




Marge (




26 122 132 134 136 141143 182 192 227





equiv




43 54 65 68 73 76 7795 100 102 104 110 114122 124 132 186 226 227247








mathslash () 106



cient seeDH



296














micro (micro) 130


textperthousand


uu)


u) 166

minimDown () 166


minus see textminus


div


297






modtwosum (⨊













NANDd () 135

NANDl () 135

NANDr () 135


NATURAL (frac14) 96

Natural (Icirc) 96

298




ncong () 53



nddtstile ( ) 63




299


ndststile ( ) 63

ndtstile ( ) 63

ndttstile ( ) 63







ngeq () 67 68


ngeqq () 67


ngeqslant () 67


300





ngtreqqless () 70



ngtrless (≹) 69



nibeta () 19

NibLeft () 141





301






nleq () 67 68


nleqq () 67


nleqslant () 67


nlesg () 70


nlesseqgtr () 70




nlesseqqgtr () 70



nlessgtr (≸) 69





nNeswarrow () 84

302


nnststile ( ) 63

nntstile ( ) 63








normal runes 162


NORu () 135

Norway () 194



notni

notperp (M) 54


npreceq () 53


303






304



nststile ( ) 63


nsubseteq () 65



nsucceq () 53


nsupseteq (+) 65



ntdtstile ( ) 63






305

ntriplesmile () 94

ntststile ( ) 63

nttstile ( ) 63

ntttstile ( ) 63





NumLock ( Num ) 134











306








math


˚) 23


ohm (Ω) 130

Ohne (a ) 165


oiiint ()

) 44

oiiint (∰) 47

oiiint (

) 51

oiiint (∰) 48

oiiintclockwise (L

) 44


) 44


ů

) 44oiint (

v) 43

oiint (

) 45

oiint (sbquo

) 45

oiint (∯) 47

oiint (

) 51


oiintclockwise (H

) 45

oiintctrclockwise (

) 45


ű

) 44oint (

u) 43

oint (u

) 43oint (

∮) 42

oint (∮) 47

oint (∮) 46oint (∮) 48

307

ointclockwise (

) 44



ointclockwise () 51

ointctrclockwise (

) 44





oldGclef (g) 165







ORl () 135







overbrace (hkkikkj

) 114


overbrace (copy

) 113

overbrace (⏞ ⏟

) 114


) 114

overbrace (⏞ ⏟

) 112

overbracket ( ) 114

overbracket (

) 114


rdquoa) 23

overgroup (hkkkkj

) 114







118


) 118


) 118

overline ( ) 30 110 112



overparen (⏜⏜

) 114



308






) 118


) 118





˙) 188







adfsymbols 140 143 145150 247

allrunes 162 247119964ℳ119982 12 15 3142 52 53 65 67 72 7576 92 96 97 99 100 102104 110 113 116 119 123124 129 226 227 246


amssymb 12 110 124 128159 247



bbding 139 141ndash143 145150 152 227 247







feyn 137 247 248

309

fge 91 102 111 122 126247 248


fontenc 12 15 17 21 242244







mathabx 30 33 37 43 5465 68 73 76 77 95 100102 104 110 114 122 124132 186 226 227 247


mathdots 110 119 120234 247







stmaryrd 32 42 5365 72 76 92 95 102 104227 231 246 247


textcomp 12 14 15 21 25ndash28 75 110 126 130 163181 226 242 244 247


timing 130tipa 17 18 20 21 23 24229 247





310



Pallas () 133

pan ( ) 196






parallel () 52 105

parallel (∥) 58

parallel (∥) 56

parallel (∥) 61






parr (`) 37

parsim (⫳) 61

partial (B) 100

partial (120597) 100

partial (part) 102







(∲) 125


(∲) 77


(∲) 125


(∲) 77




(∳) 125


(∳) 77


(∳) 125


(∳) 78







(∲) 125










textperthousand



PencilLeft () 141


PencilLeftUp () 141

PencilRight () 141







textrecipe


PHbee (h) 153

PHbeehive (X) 153

PHboomerang (R) 153

PHbow (K) 153

PHbullLeg (b) 153

PHcaptive (D) 153


PHcat (c) 153

PHchild (E) 153

PHclub (M) 153

PHcolumn (W) 153

PHcomb (U) 153

PHdolium (T) 153

PHdove (f) 153

PHeagle (e) 153

PHflute (o) 153

PHgaunlet (H) 153

PHgrater (p) 153

PHhelmet (G) 153

PHhide (a) 153

PHhorn (Z) 153

311


PHlid (Q) 153

PHlily (m) 153

PHmanacles (N) 153

PHmattock (O) 153




PHoxBack (n) 153

PHpapyrus (k) 153


PHplaneTree (i) 153


PHram (d) 153

PHrosette (l) 153

PHsaw (P) 153

PHshield (L) 153

PHship (Y) 153

PHsling (V) 153

PHsmallAxe (r) 153

PHstrainer (q) 153



PHvine (j) 153

PHwavyBand (s) 153





pigpen cipher 191



























pilcrow see P




pipe see textpipe

Pisces (euml) 132

Pisces (M) 133

Pisces (euml) 132

pisces (f) 131
































312























207






Pisymbolastrosym57

(9) 208






208






















Pisymbolastrosym108

(l) 208






Pisymbolastrosym114

(r) 208


Pisymbolastrosym116

(t) 208


Pisymbolastrosym118

(v) 208






Pisymbolastrosym124

(|) 209




Pisymbolastrosym128

() 209


313



Pisymbolastrosym132

() 206


Pisymbolastrosym134

() 206


















206

Pisymbolastrosym152

() 207





Pisymbolastrosym157

() 207

Pisymbolastrosym158

() 207



Pisymbolastrosym161

(iexcl) 207


207

Pisymbolastrosym163

(pound) 207








Pisymbolastrosym179

(sup3) 207

Pisymbolastrosym180

(acute) 207



Pisymbolastrosym183

(middot) 207


207

Pisymbolastrosym185

(sup1) 207















Pisymbolastrosym208

(ETH) 208






Pisymbolastrosym214

(Ouml) 208


Pisymbolastrosym216

(Oslash) 208


Pisymbolastrosym218

(Uacute) 208



314




Pisymbolastrosym224

(agrave) 208




Pisymbolastrosym228

(auml) 208




Pisymbolastrosym232

(egrave) 208


Pisymbolastrosym234

(ecirc) 208



















(uuml) 209






315
























218

316
























































































317


















































































Pisymboldingbat69

(E) 213

Pisymboldingbat70

(F) 213

Pisymboldingbat71

318

(G) 213

Pisymboldingbat72

(H) 213

Pisymboldingbat74

(J) 213

Pisymboldingbat75

(K) 213

Pisymboldingbat76

(L) 213

Pisymboldingbat77

(M) 213




Pisymboldingbat100

(d) 213

Pisymboldingbat101

(e) 213

Pisymboldingbat102

(f) 213

Pisymboldingbat103

(g) 213

Pisymboldingbat104

(h) 213































































319















































































320

























(G) 204















































































321













































































































322










































































































323




























































































































Pisymbolnkarta92 ()

206


324







204





















205





Pisymbolnkarta164







205


















206






























325





























205



























































326
























































































327



















































































328











































































329















































































330
























































(M) 210


(N) 210


(O) 210


(P) 210


(Q) 210


(R) 210


(S) 210


(T) 210


(U) 210


(V) 210


(W) 209


(X) 209


(Y) 209


(Z) 209


([) 209


(]) 209


(a) 209


(b) 209


(c) 209


(d) 209


(e) 209


(f) 209


(g) 209


(h) 209


(i) 209


(j) 209


(k) 209


(l) 209


(m) 209


(n) 209

331





















macr) 188



polter ( ) 119






macr) 188

Ppp (˙˙) 188

ppp ( ˙˙

) 188Pppp (˙

˙) 188

pppp ( ˙˙

) 188

Ppppp (˙˙) 188

ppppp ( ˙˙



332




DeclareMathOperator

prod (prod


prod (prod

) 49PRODI 52








pullback (⟓) 34

pullback (⟓) 62



PulseHigh ($) 130

PulseLow () 130

pumpkin ( ) 40

pumpkins 40

punctuation 17


pushout (⟔) 34

pushout (⟔) 62


pwedge (U) 20


Pxp (˙) 188

pxp ( ˙ ) 188

Q

QED 124

QED (∎) 126

Qoppa (]) 159

qoppa () 159

qoppa (ϟ) 159

qp (gt) 164

qprime () 122

QQ () 134

qqs (B) 164

qs () 164

qside (M) 186

quaddot (lt) 162

quadeye () 162

Quadrad (]]) 110

quadrad (]]) 110

Quadras ([[) 110

quadras ([[) 110


quark (119874) 137

quarkb (119875) 137

quarkc (119876) 137

quarkd (119877) 137

quarks (119878) 137

quarkt (119879) 137

quarku (119880) 137


quarterNote (C) 166

quarternote () 163

quarternote () 163

quarternote () 163




(uu) 166



C) 166




quaver ( ) 166





) 166

quaverDown ( ) 166






RR (R) 162R (Ž) 162R (sim

) 188r (a) 21r (sim

) 188r (r) 162r (r) 128



Rain () 183



rAngle (⟫) 106

rAngle (

⟫

) 108

333

rangle (⟩) 30 103

rangle (⟩) 106

rangle (⟩) 105

rangle (

⟩

) 108

ranglebar (s) 105

rangledot (⦒) 106







hbar


rBrace (

⦄

) 108

rbrace () 106

rbrace () 107


) 105

rbrace (

) 108


rBrack (⟧) 106

rBrack (⟧) 107

rBrack (

⟧

) 108

rbrack (]) 106


rbrbrak (

❳

) 108

rc (a) 23


rceil (rceil) 103

rceil (rceil) 106

rceil (⎤⎥⎥⎥⎥⎥) 105

rceil (

rceil

) 107









rcorners (w) 102










rdbrack (w) 104



Rdsh () 82

Rdsh () 88

Re (real) 100

Re (real) 101

REAL (frac34) 96

Real (Ograve) 96



recorder () 181

Rectangle (u) 150




Rectpipe () 136

Rectsteel () 136


recycle () 196

recycle (A) 192






triangle 72ndash74








revaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108

revD () 20

revddots ( ) 234

reve () 19

334


textbackslash



rfilet (

) 104


rfloor (rfloor) 106

rfloor (⎥⎥⎥⎥⎥⎦) 105

rfloor (

rfloor

) 107

rftimes (⧕) 62

rgroup (⎫⎭) 104

rgroup (

⎫⎪⎪⎪⎪⎭) 106

rgroup (⎫⎪⎪⎪⎪⎭) 105

rgroup (⎧

⎪

⎩

) 107







rightevaw (

Ntilde

Ntilde

Ntilde

Ntilde

) 108


335




rightwave (

ETH

ETH

ETH

ETH

) 108





rmoustache (

⎫⎪⎪⎪⎪⎩) 107


rmoustache (⎫

⎪

⎩

) 107


rollingpin ( ) 196

Roman coins 27

Romania ( ) 194



roots see sqrt

roshambo 142




rotm (m) 20

rotOmega () 20

rotr (r) 20

rotvara (A) 20

rotw (w) 20

roty (y) 20






Rparen ()) 129

rParen (

⦆

) 107

rparen ()) 106

rparen ()) 107

rparengtr (⦔) 103


rppolint (⨒) 49

rppolintsl (⨒) 50

rppolintup (⨒) 50

rqm ( -119868) 232

RR (z) 162

rrangle (⟫) 105

rrangle (⦊) 103

rrbracket () 104

rrbracket (

) 109

rrceil (W) 102

RRelbar () 96

Rrelbar () 96

rrfloor (U) 102

rrhD ( ) 203

rrhDa ( ) 203

rrhDap ( ) 203

rrhDp ( ) 203

rrhDs ( ) 203

rrhDsp ( ) 203

rrhDw ( ) 203

336

rrhDwp ( ) 203

rrhE ( ) 203

rrhEp ( ) 203

rrhF ( ) 203

rrhFp ( ) 203

rrhFw ( ) 203

rrhFwp ( ) 203

rrhL ( ) 203

rrhLa ( ) 203

rrhLap ( ) 203

rrhLp ( ) 203

rrhLs ( ) 203

rrhLsp ( ) 203

rrhLw ( ) 203

rrhLwp ( ) 203

rrhM ( ) 203

rrhMp ( ) 203

rrhR ( ) 203

rrhRa ( ) 203

rrhRap ( ) 203

rrhRp ( ) 203

rrhRs ( ) 203

rrhRsp ( ) 203

rrhRw ( ) 203

rrhRwp ( ) 203

rrhSd ( ) 203

rrhSdp ( ) 203

rrhSl ( ) 203

rrhSlp ( ) 203

rrhSr ( ) 203

rrhSrp ( ) 203

rrhSu ( ) 203

rrhSup ( ) 203

rrhU ( ) 203

rrhUa ( ) 203

rrhUap ( ) 203

rrhUp ( ) 203

rrhUs ( ) 203

rrhUsp ( ) 203

rrhUw ( ) 203

rrhUwp ( ) 203


rsem (MQQQQO) 105



rtborder () 188






rupee (|) 27

RV (|) 134rVert (||) 109

rVert () 104

rVert (

∥∥∥∥∥∥) 106rvert (|) 104

rvert (

∣∣∣∣∣∣) 106

rVvert (


rwave (

ETH

ETH

ETH

ETH

) 108

rWavy (______) 105

rwavy (^^) 105



337










ScissorLeft () 141




() 141






sddtstile ( ) 63

sDep (h) 164

sdststile ( ) 63

sdtstile ( ) 63

sdttstile ( ) 63





) 165


) 165








Segno ( n) 164







( ) 166






338



membership see in

union see cup








( ) 167






simneqq (≆) 61

simperp (lsaquo) 64


simplus (⨤) 36



simrdots () 60

simrdots (⩫) 61

sin (sin) 96

sincoh (ˇ) 64


sinewave (∿) 126

sinh (sinh) 96







([) 145

SixStar (G) 145







(copy ) 166


( ) 166


166




skull () 196

skull (A) 186

skulls 186 196 224

slash () 242

slashb () 19

slashc () 19

slashd () 19

slashdiv () 33


slashed 231 232

slashed letters 231


slashu (U) 19

Sleet () 183

sliding (a) 23

Slovakia (cent) 195


339


























41


340




sndtstile ( ) 63

Snow () 183

SnowCloud () 183

Snowflake (`) 145




SNPP () 189

snststile ( ) 63

sntstile ( ) 63

snttstile ( ) 63SO () 134 135




Spacebar ( ) 134


Sparkle (]) 145





sqiiint (R

) 44

sqiint (P

) 44

sqiint (rdquo

) 45

sqint (

) 44

sqint (rsaquo) 45


sqrt (radic) 114

sqrt (radic

) 112 233sqrt (

radic) 116


341


Square (f) 150

Square (0) 149

Square (0) 150




hooked see hksqrt


(k) 150













ssststile ( ) 63

sststile ( ) 63


staveI () 190

staveII () 190

staveIII () 190

staveIV () 190

staveIX () 190

staveL (1) 190


staveLI (2) 190

staveLII (3) 190

staveLIII (4) 190

staveLIV (5) 190

staveLIX () 191

staveLV (6) 190

staveLVI (7) 191

staveLVII (8) 191

staveLVIII (9) 191

342

staveLX () 191

staveLXI (lt) 191

staveLXII (=) 191

staveLXIII (gt) 191

staveLXIV () 191

staveLXV () 191

staveLXVI (A) 191

staveLXVII (B) 191


staveV () 190

staveVI () 190

staveVII () 190

staveVIII () 190

staveX () 191

staveXI () 191

staveXII () 191

staveXIII () 191


staveXL () 191

staveXLI (() 191

staveXLII ()) 191


staveXLIX (0) 190

staveXLV () 191

staveXLVI (-) 191

staveXLVII () 190

staveXLVIII () 190

staveXV () 191

staveXVI () 191

staveXVII () 191

staveXVIII () 191


staveXXII () 191

staveXXIII () 191

staveXXIV () 190

staveXXIX () 190

staveXXV () 190

staveXXVI () 190

staveXXVII () 190

staveXXVIII () 190

staveXXX () 190

staveXXXI () 190

staveXXXII () 190

staveXXXIII ( ) 191

staveXXXIV () 191


staveXXXV () 191

staveXXXVI () 191

staveXXXVII ($) 191

staveXXXVIII () 191

stdtstile ( ) 63

steaming () 196



sterling see pounds

sthree (Oacute) 162


Stigma () 159

Stigma (Ϛ) 159

stigma (-) 159

stigma (ϛ) 159




StoneMan () 183

Stopsign () 136

StopWatchEnd () 183


stress (h) 25



strokedint (⨏) 47

StrokeFive () 183

StrokeFour () 183

StrokeOne () 183

StrokeThree () 183



stststile ( ) 63

sttstile ( ) 63

stttstile ( ) 63


^) 23




iexcl) 23


iquest) 23



343




sum) 42


sum (sum

) 49

sumint (⨋) 47


Summit () 183


Sun () 183


197ndash198 224 227sun () 132sun () 181

SunCloud () 183






lsquo



344




symA (Aacute) 128

symAE (Ucirc) 129


163ndash204 206 223 224 226228 235 240ndash241 243



















) 188t ( a) 21t (otimes

) 188

345



Tape () 152



tddtstile ( ) 63

tdststile ( ) 63

tdtstile ( ) 63

tdttstile ( ) 63


Telephone (() 183




189 247 248TEX 12 73 74 91 120 131

190 226 229ndash236 238ndash240242 244 245 249







21 25ndash28 75 110 126 130163 181 226 242 244 247


346


textdbend (





textknit2 (22) 193

textknit3 (33) 193

textknit4 (44) 193

textknit5 (55) 193

textknit6 (66) 193

textknit7 (77) 193

textknit8 (88) 193

textknit9 (99) 193

textknit () 193

textknit( ((() 193

textknit) ())) 193

textknit () 193

textknit- (--) 193

textknit () 193

textknit () 193


textknit () 193

textknit[ ([[) 193

textknit] (]]) 193

textknitA (AA) 193

textknita (aa) 193

textknitB (BB) 193

textknitb (bb) 193

textknitE (EE) 193

textknitF (FF) 193

textknitf (ff) 193

textknitH (HH) 193

347

textknith (hh) 193

textknitI (II) 193

textkniti (ii) 193

textknitJ (JJ) 193

textknitj (jj) 193

textknitL (LL) 193

textknitl (ll) 193

textknitM (MM) 193

textknitm (mm) 193

textknitO (OO) 193

textknitQ (QQ) 193

textknitq (qq) 193

textknitR (RR) 193

textknitr (rr) 193

textknitS (SS) 193

textknits (ss) 193

textknitT (TT) 193

textknitt (tt) 193

textknitU (UU) 193

textknitu (uu) 193

textknitV (VV) 193

textknitv (vv) 193

textknitW (WW) 193

textknitw (ww) 193

textknitX (XX) 193

textknitx (xx) 193

textknitY (YY) 193

textknity (yy) 193

textknitZ (ZZ) 193


textlhdbend (~



mdasha) 22







) 181


348





rsaquo) 22




ˆ) 22

textsubdot (a˙) 22


lsaquo) 22


˚) 22


˜) 22



ˇ) 22



) 22






349





symbols




(Z


(Z ) 166


(Z ) 166



textperthousand







247 248tilde 14 17 19 21ndash23 25 28





tndtstile ( ) 63

tnststile ( ) 63

tntstile ( ) 63




TR () 134trademark 14 27 243 244




pitchfork

trapezium () 148

trebleclef (G) 164

trees 197 224

350










triangleq (≜) 74



173ndash178 187 188 204ndash206222


TriangleUp (n) 150

TriangleUp (1) 150




tststile ( ) 63

tsttstile ( ) 63

ttdtstile ( ) 63


ttststile ( ) 63

tttstile ( ) 63

ttttstile ( ) 63





44 53 54 65 68 76 9598ndash100 124 128 151 226228 242 247


UU (U) 162U (a

˘) 24



351



ulcorner () 106

ulcorner () 105

ulcorner () 103

ullcorner (S) 106

ullcorner (6) 105

ulrcorner (Y) 106

ulrcorner () 105



) 24


loomoon

) 114





) 114



underbracket () 114



loooon

) 114





underleftharp () 91







minusminusisin)


minusminusisin)


notshy) 113


underparen (⏝⏝

) 114



) 114







niminusminus)


(niminusminus

) 118




union see cup



Uparrow (



) 107


uparrow (


uparrow (uarr) 107



Updownarrow (


352




updownarrow (












42 49 51upint (⨛) 49

upintsl (⨛) 51




353


urcorner () 106

urcorner () 105


usf (ffi) 164



˜) 23


245utilde () 115


UUparrow (⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰

) 108


Uuparrow (⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊

) 108

uwebofd (file) 210







varint (r) 43







) 44


)

44varoiint (

) 45


) 44


) 44

varoint (u

) 43

varointclockwise (-

) 44




) 45



354


) 45




varsumint (⨋) 48





vdots () 120

vdots () 119


355



VERT (

) 109

Vert () 103ndash105

Vert (

∥∥∥∥∥∥) 106Vert (∥) 107

Vert (

) 108vert (|) 103ndash105

vert (

∣∣∣∣∣∣) 106vert (∣) 107

vert (

|

|

|

|

|

|


Village () 183




˚) 20


macr) 188

vpppm (macr


Vvert (


Vvert (⦀

⦀

⦀

⦀

⦀

⦀



32 43 53 65 68 119 124130 131 133 136 143 144146 163 181 227 247







Ţ) 23



87




149





356








wideparen ( ) 113

widering (u) 114

widering () 115

widering (˚




Windowsreg 244




229 234 247wupperhand (c) 186

Xx (X) 122x (

˙˙) 188

XBox (4) 143

xbsol (⧹



































Xs 143 144 182

xsol (⧸

) 49

XSolid () 143

XSolidBold ($) 143





357

XY-pic 233

Y

Ydown () 32

Ydown (Ocirc) 35

yen see textyen

yen (yen) 126


yhmath (package) 112 113 115121 234 247


Yinyang (Y) 182

yinyang () 196

Yleft () 32

Yleft (Ouml) 35

yogh (x) 20

yogh (`) 19

Yright () 32

Yright (times) 35

Yu Billy 235

Yup () 32

Yup (Otilde) 35

Yup (⅄) 101







ZwPa ( A ) 165ZX (X) 134ZY (Y) 134ZZ (Z) 134

358

Contents

Introduction

Document Usage


Body-text symbols


















Text-mode Accents








semtrans Accents

ogonek Accents

combelow Accents

wsuipa Diacritics

textcomp Diacritics

marvosym Diacritics








eurosym Euro Signs

fourier Euro Signs











Binary Operators






































Binary Relations


































Inequalities

AMS Inequalities






boisik Inequalities

stix Inequalities








Arrows

Harpoons


AMS Arrows

AMS Negated Arrows

AMS Harpoons

stmaryrd Arrows


mathabx Arrows


mathabx Harpoons

MnSymbol Arrows


MnSymbol Harpoons


fdsymbol Arrows


fdsymbol Harpoons


boisik Arrows


boisik Harpoons

stix Arrows

stix Negated Arrows

stix Harpoons


chemarrow Arrows

fge Arrows

old-arrows Arrows

old-arrows Harpoons


MnSymbol Spoons

MnSymbol Pitchforks


fdsymbol Spoons

fdsymbol Pitchforks








Log-like Symbols


china2e Number Sets

Greek Letters

AMS Greek Letters









AMS Hebrew Letters




stix Hebrew Letters

Letter-like Symbols













AMS Delimiters

stmaryrd Delimiters

mathabx Delimiters

boisik Delimiters

stix Delimiters

nath Delimiters















Math-mode Accents








Extensible Accents





























Dots

AMS Dots

wasysym Dots

MnSymbol Dots

fdsymbol Dots

stix Dots

mathdots Dots

yhmath Dots

teubner Dots





marvosym Digits

fge Digits



stix Infinities

stix Primes

stix Empty Sets

AMS Angles

MnSymbol Angles

fdsymbol Angles

boisik Angles

stix Angles














Math Alphabets















wasysym APL Symbols

stix APL Symbols

apl APL Symbols




logic Logic Gates










Dingbats

bbding Arrows

pifont Arrows

adfsymbols Arrows

adforn Arrows

arev Arrows

fontawesome Arrows


marvosym Scissors

bbding Scissors

pifont Scissors

dingbat Pencils

arev Pencils

fontawesome Pencils



dingbat Fists

bbding Fists

pifont Fists

fourier Fists

arev Fists

fontawesome Fists




arev Crosses








wasysym Stars




adforn Stars

fontawesome Stars





















adforn Flourishes





Ancient languages
















allrunes Runes


Musical symbols















LilyGlyphs Clefs



LilyGlyphs Rests




LilyGlyphs Scripts















Other symbols













ifsym Clocks

Other ifsym Symbols

clock Clocks

epsdice Dice

hhcount Dice

stix Dice




skull Symbols




igo Go Symbols

go Go Symbols






















tikzsymbols Trees






hands Fists


nkarta Map Symbols







knot Celtic Knots

dancers Dancing Men



dice Dice




Symbol Name Clashes

Resizing symbols


Math-mode spacing



Unicode characters

About this document


References

Index

Symbols

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

The Comprehensive LaTeX Symbol List - Harvey Mudd College Mirror

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Transcript of The Comprehensive LaTeX Symbol List - Harvey Mudd College Mirror