Functional Analysis: Ch01: Normed Linear Spaces€¦ · X-7) = (Ln ‘L“?‘)* \ 2 cm @\¢1>>...
-
Upload
truongtuong -
Category
Documents
-
view
229 -
download
0
Transcript of Functional Analysis: Ch01: Normed Linear Spaces€¦ · X-7) = (Ln ‘L“?‘)* \ 2 cm @\¢1>>...
-
1
I
I
=
I
A
I
Z
0
1
1
1
.*'-:2#21+~--~~-~"-"'~~~~—+~——~~-,= ,..,,,;=.=,. U"°‘-~;'[email protected];"»=! 1- -. - ~ .1 ..j- ;.1..,_'.:;3_'.-‘~.-»~1¢»..;_-'=@'§‘l>._'f.;::-._ _
‘Q7 i Z7' 1 0' Q
#9, .~. , ~ <. X =4 ~
S~_- I I~ ' 11 ' .
Mallz€%§y.0rg
Me¢'ngManandmaths
\.
5 v
‘<4
_-- -;=." -' '=-' -‘ >2 * 1 ,2-; .- .~_~_~ . .
3 ’ ' . \. \
_I\l6j(“\_= A "imam 4v\ o\'.A,Q»lv\e_.a/v 5F;w§¢5
g & ~02‘ \mllwz.A sgumwm 1\~uQ~¢.. H."
. 3 °P"(o\'>Q:~.("'fEl‘6X-' U .
@‘“')L\"‘-IXL“ Q ll°<1l|+ll°<»|| s V v<1,~xL<-:- X.<9 \\@<»<I\ 2 \~<\ M ;¥- aw) '&CJ’~'Q.e/Y. oi w~1'»<ex
@ um >0 -V '><@><-- 7
UZL _{>¢¢~ ><§ M) Ls CAHQA-Q m(~,,\Q4=
Q,CY\a_ew $'q'I6<.c.o_ oy ~n6WMA‘é_ V<’.<;lI0r/. $‘>ac.v__ ,. 4 -.
1» u»§<-u ,m 'Q4-'f‘m* M-’-=<»lr ~16 vaa-W@t¥»?<1~@»-w- »¢._1, zf LL. atriwm 15/w 0;.e,-A [>o¢§~J@¢ of ‘([19, vezimrs g a-_A '>(,__.'
EXQWEQQA (1-21): ~
5\>¢\'cv. '§\<s~<w\ “Le-Q""\¢¢\( 3°?)
J:_¥___=_ @ awé .'><,,'><.,;e IR ) (Mt "K V
II-X,+*><'L|| = \»<.-+~»<L\ (LU Aw A
=__ \\°<\l\+'\l?<-Ll - ' -
} '11 \\?~+'m\ g\l1\l1+i\°‘*H V vwh-<~:~11 Qi. /
f ,2-
~?.
QHQPTER Nail? { __1\\<>w~l.~e_,L'; i_\.,m~'sPaw\}
1» AK 1 ‘M @~ ve-<»'=~,.‘¢1L~z;"~ I
~ (D HIQ. 'Ye;~Q $Fl1C.<L* -ER ‘vi A 'Y\<>~<*~4<~e»l n*’¢-wv
1' . 21-*=*
s|l.‘'>
5=§?Sj,s I‘
\
0
; (,ol~:r'm \m,Q{.»\a u¢»>@ aLU;\J¢Q_4 L, “‘JL||")1\gLv£~’It1=-
1
- :
)
@ :0 '3L=.~Q-5 ‘V! Xé X.~ 1 ‘ Z
\
1
‘ }
\
K
Y
\
\ .
{ . "3-
I}
. ..»
“i.» I-,1xii
“"*-vw
rill
"=3\\%\!==\X\ 3 Vxefk. 1» ' A, \, . I,-;;»,=r: 1;.
. _,,
~'-~.
/ K it ii?‘
- .24‘;; -'
iv;.175
42> . t
' * é‘ i"‘\ W\ +
M-"E
I " rQ é._
EIa
q ,¢
‘“§iI
.;,}_,..‘..,,,__..__._.7._.._.-.._._-_ .3 _.,_ _,__, _ ‘ —.---P---='~-»~<>-~;-_.:.<_-.—‘a"hrlu_r\ .._. ____.
; . " ‘~ ‘W -~ -» - ;¢~ ‘A-» 9;; -V,_;_=_ » -~-*>"'”' 2» !.¢':‘_*_3=_3 : F
~_»...---,~——--.|»-1»-I-<"
L.
n
nH
a¢-v-¢--‘mi;
:5.
21.
0\
P
n
|
Ir:
i1»
'1
&
Lil
A@Q4~m_,,, $\W,.,_ mu; TI; .mw. ¢¢L¢Z.'~,L |.,\0“-‘
n==\\-=\=<\ 5 v 1&6 '
u@<»<u = \@<»\i\ .-.;. \»<w<1 .= \-»<u\»<||
@ PW QM“ .‘7(_€ R \/\o.ua.:
um-=\»~lz<» =-> lr»w<>-% i
@ Fm CRMU '><e(§R> UJQ (/\¢-¢;
(mu = \~>L|‘ I‘
WM {hull ;-_~Q 4;; pq=¢ ~€.> '>¢~_~o. ' A
% Fe \l~g\\=="<> ~‘<=? 1-=0. ¢
M (;,,,“vQ¢;( Qivxenw €>v¢w>- (C ii ¢\m_~r+~<¢;»L
,.
@ For (ma ,,,,',z,_¢ Q)’ we. l~we.: I
A ‘l=
01"._
J:,, _
» .
A? Fm! aw?) is G)“ “Q ‘Nave .' ; *
K‘. .
>§~
=4-i‘IX
1
.-»-
\\ 2.+2,\\ =- \ K.+:z.,] (ha ¢L~(f<a~L+;-~v~).
é \7<\\.'\"\‘7(1_\ cY1¢py~,4,d ¢>-Q..
‘F: “7\\\ + \\71“ (‘*3 JLQ‘)Ce \\2.¢';2,}\ 5 \\'z.\\+\\:z,\\ ; V v~'.,1<L€4<5." F“ /><:~0.<w ¢><'@~\ gag, wekqug,
“ \\<><z\\%-= \-<\ Ga @w=> \
=§\-<\\2\ <P'To[>@~rLU|§;€ <5~4\v\\>Q¢_Kq\O-3;)
2 - =‘¢l¢>(lllRl| Qua QQQ)
R6162 “Q ‘MW: V‘_-_.1-0 2:0.
H
‘= 7/A9 I. £\>-c<>{>e./T~{U ¢£ A!
fe, \\=<\1%zQ;\1 2€QZ,. 5
In QLNUN /gV”‘."°~ C ‘*/5 A ~\0Y~v\<L.J\A
K * 1‘ * *
"Y\Q~a-v />\7QC¢l- uml IE2) q\<wY,\ ab“.§_‘ % —_ ‘I Ui _- LI '- l.‘ € l .- "um ‘>01 . Q‘ Iis ii ;
‘F T" 4* * *1 +< + ;v' "7; —x- *6“ '3, “".,T",;~. :3,‘
"‘“’ ‘*’“°d /5¢'~Q@v WK 6t'v\¢L we 91)w'¢l~w; Uvl)-*1‘G
'8‘
1
h7l¢V4l’<94'/
"¢@,%<~..6.
PCo
| . ., ,._I
i
i
E
v
A
!
e
i1
i¢
9
'|
E
Ck -0]
Q? f___,\_=A ' -
Q3) ]'lI,,_ Q/~, IR (‘h~ C‘k1"vv\<"-v\§\'0v\a..Q 6v~-<::QCc1La.m-L $P¢a) I .
y .
' &'v\.,=L 'n- é\i'w\erv\s\'dY\.¢\.Q ‘-*""":'b“""a 5P0\€!'~)
'Y\-'bLv(?P,<zA vi WQAQ 0Jv\@K. '~r\LiL'v-n\aQ/Y3 L
'Y\<YYvm\Q QL‘v\0_w\/ /Svace/s (aim {Fl'r\ ‘\ ~ !
\\*<\\¢ = \°<¢\"y" -, rem“. . "
3' \\%u.\> = Q"‘\\F—\— l°*1\P—e ~ - -—- + IX“? Y/F _A
, _=v .
WQ ‘X1.’ -‘--- I I I I
ma u~<\1=.-~m~<{\'>m ~,’ ¢¢=\,>>~~-mi.
.1 "¢Y\.¢kX {m\,1'><L1, -----mnn} L..,@ {
ufi/\.:w¢ ‘Xi: Q'><‘,'>(,_7____)¢X“)) ‘é_Cé,H !
Cam '
L- NO'tVZ3@-= 1/W-4~'\“0\2»Q\‘\_ruL mr\<§‘<‘a TRM 'n¢¢~rvQ ZsY\ A0,0/\e,¢w SFAOL . ' V ~
Naadz, um ~I»~:b~ro¢3~»-wv. /$6Y~/-1 '$\>¢¢'lP~/Q '*\"->¢<>(
__-@fLFcx))wwmcf_?»vFPT'5$<§4v~<¢§Lwr=-LM.m,WM,9; Q,L\vY\Q.a/\_/ svacws urti, T11 '¢Ww~ as qaemw;
% M 0Le.¢Y\<>{:e_ an ,q>€_,@_ 103 Ifmr. "
wkew. ~[F\»IQ v\*Q- xw ws@lLc~»>% -F” bail; (
YE» . .3v
W\o'Y€.cvf’/v 7 IIUI¢ “VA!/S'Q3\'0v\ u-‘E u:(~e_"llIw _(<-faL_u_
e,¢[CZ¢,./ 54 ‘C-QEJI/Y QM“; Ilia. C4-wJc<>.‘w?: W W“
jg‘ Nvkout & -5-Fe ¢Q!‘>-$4.. .
QR : Q? ":._ [K2, 6(>o~<:a (E o.,QQ °¢={°"“}%
00 l ' 1mil g; l'><.-\F4~<> ma! 5n:-W Ill» /qV‘“°°+%%A -L=\
-Q,P":>S 0; Wat". U3“. “(NW W i V
E
/\SMa
\/I\
_VA
F: QQPAF \f'>(€Q
L
i
‘|
3
|'
P‘
iI
= M
@
\
|>
é 5,, \\\Z\\ .= 9.1.? WW1 3 v ~€e L<1\l“»*=],»¢e£¢,»3. I
¥ §
C,-.1w ~‘»1V~=»*V“¢¢¢£”lQ@“~*a“*"
......_-----_-f-vq-,_—--—-~''""'
‘*;N',,4;¢ <:,¢-.<'.:<:.Q_*
‘I . ' ‘ *.~¢@Ma;~:- ._];,;--'-""'""'~'.=»~»;f\~~» —'= ~.—~. ."-2:. .,=:. =.-,1 -—
‘ Q” - Q 1/) 11; ‘ ® 0“ 0,.__ no . /'§ 614:2 ¢:-Z? OJUL b6u“ALA '\
/‘ie,»vu.ow\u/5 '>Z'i=={'>c;1 [aw [O (A a\__'1\»Q-S.
_> x.
= “““Y\"‘~‘\ 3 V155$-° j
l = {\'>§\\,\'><,_\ ) _____f1
1%: -Y-‘~ L4>\“1-"3 ‘R ,w'l/v~-l~ 31* C<v\_'l:\"r\u~mu_
TQM C.\l0~>b] U, A n.-_Q-5 'v\mrw\4
y .
LN) : l¥£'x9\d'X§ V -Fé CE_“)\°].A
Qo=11;,.;;k>s<£E01s@-[CI¢,§Y@_¢@¢f »1l>l
/Liivll-'v\¢Q$ *3» ‘Qw %€!Yo.'
ITXW Q VVQ/vwk Q0 am wr\'Zw~v<.e.¢L Qémw sqavacu
; w1‘UI.» \\'\ww~ aw vlLQ.“-
Qqbkj 13$ YCQ, /§\oau_ ¢f ¢_Q$L' ¢M;§;|‘-vmmw _-‘'~;@,.\Q \M,Qu~L.¢\ <sv\ [La,b:]’
\
I
M I
wE
c
K
mo ~;»~J=L<.¢/3 -‘Y>o Ls [C3, sei-= H" '
‘; ' ‘ ‘ .
12>Qxo;'Y) 3 {one )( t H1-'x¢\\L'X}
A $v\I3l¢e/m &>4,QQ> uwil C9v\;bTQ'X°
dvwk ~cMl~‘l<»s 'Y>*<> (L /é.»z:t=
11 @¢°,~,*> $1 {XQX :\\1-X~lI$T}
Pm ¢fs_?(>@/h 6(>\!\@m2. Q-W ovw bm) ustTlL C.0/vi-re
U13 X B4 A 'Y\6Ym4dl Q~‘v~e»~spAa-L‘/
4
e
.3,
IlMerg'nmafhsf
?@>
5""?-'>>‘@'~>':____’_..__,_____:_v Cfn-9. .__ -_ 1..-.._” :_T____-:_;.K ~_; .>_*,-,7’ .v.,~...Z..___._.._._.-:-
P ,_,q§§
v1'1‘: I‘? , '
w x‘
((11-'1¢lI4.v ‘Y’
?>C°<°3Y7 E (wt.-fr)
._ BU [Cu S¢_~<~g4~0. (W E<§\.uv\d.¢uva'> ,£“)“Q- 'YY\Q-¢\:v\ ‘C/_:a_,_ Ad}: ‘ ’ -
/ /5/Q1“) Y) -:; {max ; [[1-=x.l| .~=~__'~(_} 5
\/ (9 A Mm »:.,xWu »¢o»;<@1>w»£
¥=~ wq; »>¢ém,»w:m €X;»$7la1$4-¢Q°>'3U:
cv/;JAc-re. ‘x % wf~Q@L vs @m;£w‘N_,( .,;,, (B, '
@AAX\/'@)A$<£I1)¢i\..)<p5g¢.‘4+1,L_L:Q_.‘£i-
"Z" “ma "‘“v-% M #1» In mm in.“ V
YMVQQU {LI ‘X€‘-D,
\/A$e;i:TDi$/€,e.Cel'13,l>v_l>£u-v~A¢_J|,T;X
" TIZMQ. e:<(/>1; A@¢Y\-%’{T04v\i Mswbitall|'>¢"éfY\5 Vxerb, '
\..-/ A44»,-Q: Ibex./<~;¢L-£=>\=.@_¢~>M>Ql§?w[,\_¢,;\»\e.\r~zw ixnx pg 1}... (D .) -H/:0./YE. QKIJQ A
{°¢-'§.u.s(/L6s¢ #116»/Li L4.»L.hfD. ’
L‘ @ A Yin}-2/> c:,,JlQ»_A \9m~M@4,'\{W@
@,x‘r/$15; A wu CmsJc¢~»c€; K>o '5-‘><»_¢l~» WAC
\\°<-\Is*< \/my ‘ 1
i
I
.__..<,_¢-.,.,._--7-
~
3 X
|i!
x1
5
______._..,.-.',...--.-_-..--
P
Z
\°'~s¢> y;;»?~sj~"b‘=*“£'.*_§‘.‘_*€) ‘~ ‘ ’
<*"'-'°"““'"‘"‘*""--" “"" “*""""‘ ;*‘ ' "' 7' "Y “' ‘_ _ w 7 7 7'"? *5“-'r{ l
@ Evan ~r\p(~m Q¢'ne.M sxmu. )( _{» a 'YY\Q_'{3Y§_"-8?»-u_
w_»<.{: I111; w\e“E__-dc. Jk(_x,())_-=x-ml )V?<;AU’€X.V
(5) \l\»\|.'-»\m\|\ 4_ \l=¢—v1l ;V °<=*<1é><-a> Q; .
g-:E;@ Uzi, X~ $1. A 'YwrM'\:2;Ac;2. . "De-P1’;/~0._ A
MWQQ <i~.><'»<><—-»fP\ »»@= A
¢M»®=H%1%;v*méX'Na jgluwltjar @\[,5<3\-\~r\e;{7'Yf¢ 6Y\X. "
am 4» dw<»n)=-\l'><'-v\\ ><> Om M1) %
~|@ A@m>z@- . ~%
. " . 'x-=7
" Fe, album) =-<> L? ""3-
;a QKQMU) =~ J~ CIl)°‘-§-
G’.
S; &c~%<,1~w Q @\<~<>n> +@\@>">-
l.
(ID 0\O<>n) = \\'>@~z1\\ -=<> =43? X-7) =<> (Ln ‘L“?‘)*
\
2cm @\¢1><>> _-=:\»@-z1\|=1!a~><lI =@\<=1>*>
\ ,‘~ ‘dz 2 ¢ \\x-Q“ -.= \\ ?¢"“(]__L-\-to-2" $“""V“*\H'2“.QV I v) ’= d(_'1,U)+0k(U)L)‘
H%N_ ii} UL (,5 Q »~r~r\e/'E~f|'¢ AY\ 'Y\dY\§'q Epoxy;
_)*K,Y\6“,\,\ OLA .,N.Q)c'~ri¢ ‘QB 0k 'YWY‘w\_
6~\'v\_¢4\ vwnw X ma? d '1/3 A ~Y\ei"'¢ €P@\<'-°—-
Mi‘-\\z1\l \.‘:~_\\~¢-all N1 “>11 <*-><
ma C1ow\'w~<H;e. '. ‘X-"= °¢”‘@'*'“(]
#7 WK“ [[91-—j+3"“ é “7"'{]“
=7 \\*>¢\\-»l\11\\ 1=\\°‘*v‘\~-’"”Q> V
-%;M£h~<Q.0 we. Cm“ ugwiita: "5; Y1’-'>(+‘>(.|
\
nj* >
\|
__ __ _—-_ -
Q/4,\'_t>\
¥
I
1
!
v.
. 41. In Q‘:-rvx;/{I :~¢eX Egg? QK-¢y\\\')(1\r'x_ll_'T»f‘Q_-
Wmw V‘ w W '7 ' W ‘i';%"""-=—<‘~‘~~ “~‘*‘*:¢1 Y
_.,._,
W0“ => W3-'>(+-X” é u_U'_tX“=7 ~—\\‘u -1“ é lh<\\-ml! ‘
~ '
=7 -H'>¢-wk! P; (\»<!lA—\lr1\\ L’->@
C<r‘rY\\:\"Y\iv\a ® @W\ @')' u\J~L
._\\1_~GA\\ 4 \\1\\ -Ml! é lhc-all .I
=2; \\\»¢u-\wu\ é \\'><-au.A
L, *;\,, _ ‘A i Y-A7 ~_.*—~—_ ~_,_ ,,_' ~/\_/\./ ’ " "**-\___
‘/,. DQ.-?:<"v:»l4:\‘</v\ A(d\.é)_} V
\
X '54, m mcsvvkenl 0/§Y\12,v¢Y éyam ¢\M',\. 4;->¢.,\’§ gt
<1 R/~ X - U;-9»'V\,
® we. {Ki-» /(4-e“\~lv\m_ §j><-'§ avg
X C<~\\/<>_~¢ay> 'k3> Wu ‘X6 K Cg Qvzwa
Q70 ) '[[Z.¢w, 4344*/$1 Qk +\r»a ~L~1\1e.6e/vNéu~d,§
u»¢w<\\ < K ¥~ “aw
~.9Y\-7 WQ {'Xv\'§ I4 CcY\\re_~18¢»,d;
$a'rY\\>o0A'C'J.»Q»°~2 uoeQ w‘s\\{'e_»‘>£“.-q'>\g
6,/> in__.__a°o_
\»...@ LQQ lrwa TM W» »'<»'**’~@Ll<¢v@¢/\¢=L§:')¢.,>\r§ gwxam
/5?»-¢Uw'v\¢@ vgvf €;\r€.~ra 8_7¢“)v{(;;,meX'w~;;
'o_ ~w*e_ G/Jc¢aw N )§u¢L [1L,\,'(: '
“9(»y\-'>L=~|| 4 -?"v 'YY\,'n7/N. . .'
A1*“ WW, {“<-1»‘v> @¢W1M we @<-~\r»<m~»<-1r=@- M’ ; m..5,,,
'Y\-4°»-
1'
— A7 f—' .4»‘j‘ I —' —— _—\ 7 \ _-—¥
Avaiiable at
pwww.mathcity.org
,.
Q
(Q E‘/@“(] .C¢Y\vexaovot /$2./-Vmmm -L» X is 0\ Caulxgka
/5¢+VM/v\~1»~_ 7 Em/Q‘ TUQ, C-»"v\ve»r$L '14 'Y\<§?f 'B‘I"H-L) .-
E 9 ‘ . gwn v01/M. -(\ 7)__? , O. L.“
Hg E1, 6'? A‘ ¢Q=4UuLn/v\c¢_ {Mn} VIA X
uguzt Hg ‘ ‘-T" * """"'*_"~ ~" ~ 7 -._ -. _.'_ W--~_..-_____-__.._______. ll‘.
X Le 0* "\‘YW\ A-"ne ary é a.c_¢_
%»@v\-Q-"(0\»Q~ A ~ L
(2) A cwvxn A/¢~U.MMm ‘,4 @¢v\UQ'*ra,é/vdl lgW1/°>
® ' E\/e""“d Qvuxd/\ /§@-évuo/v¢Q_ JV. X (Z iaou/v.\aL¢_,i, k
?—~-2+ ae *3 * » ‘
Ox €¢Y\v<=_~r¢G<>/mat s\~bs@_.uM,.,\¢,;\_ Q !
__ . ,
!*°]:°5C,==%7=:"=m,_,%‘): Q/‘E X ’\=-<“ (K 'hwm?_Q.CnQ-an/’ é,;>°\cz r ' I
('9 Nam
Ye.
UR 3? _lZ'>(Y\'§T (A 0\ C,'M\/zxaevd; /{¢,V¢w,\u_ M X).
\\1-\\ R@ Ad-ekiidn 0/v\a\ Sagllgy -nqwQj;QFQ;¢p\.[]-on am d.o“-bQ
@rY\\:\"Y\\)~6\*-/Q “F X H lé. 9? '>(“--)'>g @M,,L b
W1“/\ 9<~?\+‘@.,\ —-7 '>c+~@. t ' ' I
QM ‘$.91 "——»x o~k.»L ,;( L "
@)\9Qfx,\"_-=,~>< a»~»~Aa“__,)a)mW*aX“+b H.
Locum. a a/WA A’??? am“;-wvdz ‘u —->am+LH_é
I Y
NM \\l>‘-\!-!l><llléli°‘=~—°‘ll [MG Q-§>@>]
S -
'T\--).ya
‘A 5* Cmf\"f\wwA -?u~\<'i:\‘o\nA
‘X+\>——%.'>£ T5“ \\°@1\|| --a Ilx ' -
ix 0\ C6Y\vQ1a1~t /£u\rwmC0_ “M _
71. .vn_§z_
“ n"°<,TQ-o(,;:c,\._>,,<,('
Pf» \l5<-—-1|! =01-»,@ 1
—o==-- V
w I
-\1»|:!%é mm kw“-»<\: =0 (Lam A W Y\ ‘- PQ. m '" 'y\ vf\ "
k M 11*¥\\-—,:»M #1 1 ‘ 1
, .
V. » 0
5
%§éndma”eg'ngNana
.~1 >‘Q. 11+}
yang“
Q
l ' " ' ' 7-— iv .,__“> , _.__.__ ~ 1"-1‘-— ———- -»_.-_, . - - . 4 .
9
f
So Q<n+U“§" own)“ é Q5, H->(.,__X“ + L,“ "\d“__- ~ “* gww
I .
-.__ '
“U5 Ma /Q1/\.¢\/w [Raf o(“=;<“_____:~7o<,X__
5-'~¢<¢_@><»,\-»>>¢><)X $0 ha aLL\Zc;~c~&‘m3.M1Wv¢*
gm ~\~<»~-aw =0
I\la\'\J \\@<“»¢_§..@<»<\] == c-<,n<“ »—¢><.~x+<>¢m<—¢><'>~"»
5; \\¢=<“'><“ -_@<_n<1\ -\-}\@<.w< -¢><»J{_. '
A 1:: C'KA--'>O“ -\" “"‘("<-~°<§“ A’
.= \¢<,\\\\»<“=>¢\\ + \»<-v<%li\1*Il I
Yy _.1-Y\__,’o° Y\--5-oh 'Y\--jg)
“m
f *\-—v<-u»
::"0 -+ 0
H-<>v\u=. ?><“9(“ _.__§ 0('>g -
Li SQKQQY 6tAnL~"‘(7!-n-\ -an,‘cf°"**iQ‘3 GwuH~nuun»s.
V 5
6/I
® $'{/\CQ 9?“ —-——'> X’ #3/mr-L ‘an--> a_ so La
~' )um§i[;><v,.;'>¢l|_._o '@n/wl km |;a,,._~d”¢¢.‘ W
E Now C'>¢.,,+‘f)n.)-(vc+U) =_~ "24-4-*-'>L-\-E1,‘-}]u J . it
% $111“-11r+a:an_@1;_ % *
5,, hm “A '><,...<>(x“ 4 Qiwf [¢><,\\“'><'~"°¢\\ -v Qivn \’<*~¥=*\“"‘" .
.._ \¢><,q\\Tv<“L">Ll\ + Qiw. \~(“-»<]llX|l._
— %~ - +¢ i (_;<;_%? —><—- ~-#7i
Q;
|v
x
1
;.
6
S
e
I
° i
I
I
i
I
i
O
4-.
-4.
“ _c.>§..@ /iFJW {Q ')(.“ \_ " ,»
—-—a m a/WA (1,, ._§ Ld ) 5,, u,{ kmwf 1/ l
(lam. "’\—*;',¢
N0»Mm
biw"f'\-—=5w
mg
\!x_“ —x{l=@:o GMA QM "\U“_.6"_:o__
“L°D(;‘+ "' (aM_H§“ = Q')(1'\-- Q’)! 1‘ ban "" .
é “6\'x,, ... mall-\¢ (|b3,'_;,.0”
"@°‘"'* »l’**’"3“ ¢‘*°‘**")“ é LMQI <1*<»- @~J/+I)*=ah- kn)A A‘D1-—§_g -
' ' 1
. :: ,;o;;\;\°° 0\('><1‘\-'i..)‘!|_{_‘l.L0dv‘_a)”.
: V“ km “'Xv\*"" -’r \L>| L3,‘ \|7;,,_7]( ;
'“-*1» v\-3-n
_:= (>—\~o Qgzm \:‘.=o
l061“ + La“ ___? d_X+ B2.
»<--rs~'*w;? »>+~? ,
n
BOU:f\0\€,eL ‘L€Y\e,oJv ‘C)FQ\':¢\It6‘(‘$'
. \ .
.
E>e{l~e_ (41-$\'*~¢Y~a' '0\ liw-wv o[>@:~r»~i:<w)w<L ‘ L
"aacL»0JL A/v\o\ Waqliis .@~,-mm “AQd¢\m:
Q ‘“‘“*°“"‘ {bk 7‘ ""~\ “I ks Q¢*\@~ $PQcu,w1*L'IZ w¢x<»M* ( 3
. wk
i "‘S*6\v\a€. '
A i mo; ‘ ' ‘ W‘)U
‘Q3
® .
¢Qw% @w\¢LI{Y|‘¢v\CD 61 €‘\/u~'CV4\-Qvdbv 1:0: -
‘F-‘X
,_=_
/g¢**’*Q“"“ €‘¢M (K -=iR'<rv C .
A be. @\ ¥UM¢Hdv\ <,¢([{Z. QQA) .,,{,, X @,,~,\
Ran *- \/ Y3». Awmcx-—aRu\)¢-\;:|‘_A vi (iA_Ql<_vL & L\'Y\~Z.wY oyenroizw <~¥
<1 _§u)¢sfa@c@ oi X awl '
AL°<\i-_5ji'><»§ />o<\+ As<,_ -,'v '>(')')(“|_,€ DCA) Kgiag
/\(o<x\’ '__-: ak/ROG 3 Va-§é\\< G4/~.¢K xébm)
A (o(>(,~\~j[1~><1,‘)~.=— oi/\>(\ ~\- P Aw. 5 V v(,Pé IK 01-wk .
; 'x|>'K1.€ DCA),DC?“ = X ; "§»‘Q— O-$43?/v\ /50?] A ,3 CA
e.¢w OPé'~( (W ¥'\~¢vv\ K . _
» #1 %< ,4 -x-1 ;<_ -x—~¢.-‘_
*>!'-
,.
, ¢ .
1
'" * .1: _._._~-W? _ .» »-1 M‘ _._.. _ _ ,7 - _, __1 :____..‘ __ _:>___T__ __Vi___7_%____’
1I ' ._ , ,._,..._........¢ ‘ ,,...
' " “i:~
\" Rt‘-v1\(hI\< 1- - -.
' '\I' ~'“ Q "'|l'n\-<' ‘I - - ®\ an \ .L \L<,0U ‘BU w\4u‘;___b-M_
@ “M Q? Q? "~*'><“* QL»-%-¢*='~» 1mA ¢>(‘$( + _ _ .
¢ ( \ \ °(1,'7l -\- ""'\' °<y,'X“> ;%gf\vX|_‘__o(1r‘A,x1-_(-._~_
U
®M<9§ <><_=., ow MM GL4,-\~;4D,\‘,,\) M ugh“ Amzoh §
A“ ;"1Y\TdY'kIov\/xi s¢A)¢e_:{; ,_,¥_ [KL ammi M Wmmtqw
svmfk bis? A A""“*‘+<-'\ ‘*0 ./I/.'n("*) °"“'k 74 ‘ea:l
1/V/‘(A3 = Qvce sq») k=A»,¢=(,}_ ' ~ .
.- . ,
L-- at ;,; AYQKALJ ‘ ‘
. ., - Vem-QQA ~ A A
é 0' I Y3" " " ‘I ‘ 1 /=7“-“ ‘U/">"»= ~,/W. = . 1El%J:.- M A" “$“""1’““Yr‘-_“._,_.' -L1‘. 4-; ~_ fl. n\,»__- , ‘-x-_'~
I _". :- - . .\~-.1 .' ,1, ~\ ;--Z.,- o(>!I'é*/g)(“€__/1:,»/K4/_) .
A" - '?Va
I00 = X‘; vxf x 2» [email protected]\/T-Q-U 4» QWLM AZTMY
2*“ X wdco J1/!~v.Q¥. . v_ A2
gzw 2
®Tc»o-cTf*:J:U::< GLQFMLA L5‘ V '-0) w Ciqmrr-L5 04-,MM oskwkhv. .
r\l<»+e IRA-C lk Zemv of’€1T0d;n/ 1,5 _a_Q;,, CRQQQJ
Nu-QQ qwwew ck 7%/m,Q ¢|>Qm,gW_ AE
@ (Z-=~¢\,scIa\<éw IE, Qgnuv 3 ;
_ ' 2\ .
§‘EnK“0L“;“"~1’F‘“"Q ‘D inzfw-wk L3 .-A ~ f
= .21. ; M <1 Q¢w>_a/vn cr‘?€Pr0J3qv 1€’»n._,m P
M» ‘mag. ' (-
' Em’ - ‘ \"> I \ _® \e_ak b~3:._-:\S‘3;(1)AK L!
—— Ila La. dk nimia °1>Q”'°\i7<YVo C‘[_o,l:|1 I
git“: ’3:(‘:’k‘*$ @“\iM~w “(Q-KQ ¥<~»~<£..;M dgw %
5‘ wvdi wtq A_ » ""‘ I'Y\/"KIQ [(5)31 vm m ,-Yleag
U $P¢wz a.Q,Q'*rQQ,Q ,nQ,;_
“--—-9%”? 4,#_ ‘U2 T:cL°"3'““'“-_>‘R. ‘
Avaiiable at j. *7 ¢ *4 T ""*‘ A I *'%#-1 ,%
www.mathcity.org
in
T3e¥:m"trm; ® A
{Q Q” 6\'Y\‘a 'X\')‘X1_€ QQT).
‘#7(\"'F'X1- 1%’ ‘TM-=I= ‘T'x._ ‘
A ‘all Q » Dcw ¢2JUu,w -2-_x~3 'T'><,;='-\";(1_ %_Xh=_xL. ,
® A ""\a\’\>\*~5 T‘~‘?@">‘.'-."i-.-.> $1 1>s.$»¢¢_*=»A '
bl‘ $w‘rdQc;!:\'\I‘€_ 4Y A'V\§b; \'<»._\'¥€-verca
@942"-/\é/v\Jb1='_$\( P
6‘Y\-°-" €,h.0_'fv\-Qv\x_ '5“ %'
(CD IS? "T 5/5.'b<1¥[l T-d.€.c):\‘\~L dvvwk §1-rdecJ:\‘ve)_|K¢,,,
fj; ‘I/3 \oCdQ<;;E\‘\M__
Nu'Emi\‘mA: 5? ~4L ¢~\'>Q:r~>Cbv AA 1'-W; an”
wvem) Ti T» "@lwY~»»=+<~L1=-U A“. RA. sh¢¢m.¢
**,_\-rQ,<.;,t,‘" .;@ rm /§@\'Y\~l- M “A M Orv\ <W@_~m”_( i
M z/, 1<“@.m £13.: /5?‘ wan A ¢>Hv~<~*%=-~<-~\»-—
Ce‘ .;- AFXLIi "'>L‘ .='7(
WMQA): [uh /\ kc; o\ .Q\‘~\e.m'-c(>@(a:hrY)[[Z@,;,o:" /,Q
WM“ pi‘ 9 mm L4’ cl .0i'Y\Q0w O€>.QTOdTaY'_ 5
. -..-_._.--.--»-.-..,.,,._.:..._._,~.,,,:..,_,..»..- .»~-~._._ _> 4“ -- ~~ < -- -v--_..-¢_- -~---_- -->-Qin,-Q,-u-u»-*4.‘--.‘.._.<_.. '.'
‘ ..- Q%,®¢,\@1 "”‘“Y’1’“'“S IA -—-
/gag Jr, 1,; ;~i}¢¢>£\'~»< W ¢M_41?\ML aL_%TM
\><>v‘~¢» [TIL 0L:rvv\a(L~. ,
)°"‘Q\'\ll\I*Q_1
II
‘ 1
I
Q
i. 1
-mm U3,» 9? 1'/5 ck L/. '
5F“*°— X v“"j:° &
&"[;\Q_v\\k /.{\ é*_)<\Js12 ‘A 55 4W’~-£<>+<§W11
£~"W" $\>”~<"~ \/1
Q“._.‘
. __
f)-%Rl\>4.IBI-- 4 é -—-_ _- .. _____,,,_, ._,,, ‘ " " “' >—— ' -"'""r‘“--'~—~--—--<-==.___..=.->....‘...,._m.... ..‘_____I , --_-_-._....
‘ - ' - —--aw »v=<»w . .5 -.4 .;,_:,;
I
A e.X¢/#2" I-W /\~><_-_—_<, =-_7»X____o__W~lMM A\é)u;¢s);i
g’ ‘$1-§Z"‘¢A gmvhn » 15;, @Qe,OW,_ ‘Ya ‘ *
. Fa :’4’ mwammk” *
'— o;“G“'a- IQ ‘ \,.~:: __‘ L k I :9 .4 ~.
New cm Pm». Uh PX A?‘L)7:>(';x“5 V°“"‘f>‘?.°4"i¥
:1 2* %
Wei/W6’: Yaw-A ' T *
W M M AW?“ IEJE "A emih . 5L/.(13-P61-K v('¢4_¢3P£\>C‘E‘Ya'r~& \}e<;l;w M} QCA) /sued“ AXN -
wk .' . .-~<>. ,
E; cw w ox Ommw°'P§-*Y¢iwoY).<<‘§v A@)=,¢,
v'> A: o_ '_‘ ‘ ~\ .“>1 AC3 Bui? A €XuCh)s__O A? "6
IJIIWKZM A')(==P\(°) %A">(=O_ '
@<sY\\Jex§e,Qa) (bi: wg./s~¢@p¢:Q Ex .A.,L=O .:7:‘.,L__;=o*
lbl-YeCM*Q'l3Q_\7muqlIXAj[V wswl Mm Um A Us m._Jw,_W__* % 1 I
Pw Wis ink Pm: J/XXL) mm '><m<,,é (M5,)! '_ . F
=> W/*=<L=» => »»@~»>=~ @ A¢;gh'"~w)%
=?' '><~~—'><=. =¢y -(l\>0-6»uq>Pc5‘51"Hm_'] .
% ‘X1 35.11..
“°l’“3~=_/@>’l/\4ws am A F/> m_+n_,,mG --Q . ' =~
_€Xvs'(’.1 . H+:¢~_ (>m~¢._4_
Q.Q,&o Ok .QL"T-\Q.a/r oPQp(q_foY_ u
NM L¢% j'><.,'>ue sch), WM uJ~Q am "¥s"1~A~3\,~@;»L\
RM) ‘ f\'>\\-=3‘ 0/mi A1,.-=h<L . ‘
$4161 PT‘ e,><Q¢,s )$<>m~Z <>u=I§3, WA ~>(,_'_-;E,‘~é.1.
’ NW %1*’31 =1 /\'>h+ /\°\._ .==-A('x,+'x,,) [*='A<‘4»L.-NW1?\ '— * -I 3mz A‘ e,><</>47.) $1» /\(*a\+73,),, -,(‘_+,xL :|(U')+A\(w .
Qqi <>Z€\K_ amok (/-,m_1_hdw .. é
Ll.
| "‘ . ' .
Q .
. ; ‘Nqw Q< ~ i @ -§]\, O4 (f\'><|') -; ’/\(f><'>) ‘ E’-;,@\ (,5 Qgmwj
i-§\(<><?]l'§ ==o<'>(, -.-_~a( ,l?(71@) Ezxqjj-\
-—"-*7 /\(~<~a\j =<></TC211)
1;}-\'°\/\(l R‘ as &L,Q/51:» %
'~*"-,--=---~->_-'-_. -. _ _.. ......._..._-..~-.,.-..;.,',,,__-¢..~, v . .‘.._
p OK o‘>CrfAZ{7av_ ”
Tllwv >~"‘ " ‘€;m. A €)(|/its N65"-’-(93
FUY‘S'{s we “{e@d19. U/:aI- ~A exe A 56 dm-on
Néw 511.A Aq"{>a$2. M A exl},-bs) we. puma EQAI’ N(~)={
wm (wk me N00) $1, pa 44) Ax:j mwt 0.» A Les Gk QI'v\:uw aq>¢wl>~) 60 A<o)¢=¢
wLM.\?<m 6 ‘ \ “V H/><o¢=%/Mt) .% swat K awn j s» A
0].
.
) “dlM~d»I-Q"
Q4/wee. ‘X-==O L. m~.§:>m NCA)$iO3
~@m~@~@l>@ wrw ~<»Y>={@1 w M %/>4».wUXAIA€>llz;5saw\¢\ £06/I/LmWE1°;‘
wish€K)W€Z$’L~w~W@\IA‘;56“‘—'€°"‘““*-§1<~1IZ»Ls0.d:‘P\'>< A
on)
uaawgzzaa-“Y2
Me‘-g'ng‘Manandmaths
.-
i
E
I
i
2
,-_-. 11*} ‘xmrgé ibék) '
+9-> P<*<1- /><=<=_~=-<> V '
7g P¢(_')(|--'X1..‘\ I-TO [A
~_-9 =><\._~.»<,e Mc/~<).-={o”£§ ' L
.. : Tf' ‘C->1\ "'(>L7/ ::_o
f‘>(\.=_——‘~7(,__ ' .
"WW4 H D5.Q90/;ts_ @v\?QQie2> W»; ‘X ‘
\__/'-\,_ /~\%;_ ‘ ,_ IA\2 7 A I
T4I
- -
, ,
' ,.‘ .
H Q/€~n€.wv *'>\'>v\c¢/> o\r¢?w Q _(f\~¢Q¢1 \K 6'v-fl X--5?
Baa ,QL~Y\0..arv' . ‘:2
@ wa ME ?/> <’»<>Y3“"'*'“‘*°“’* “3‘5°‘°ex L2
~ IA Cwdatwxeaus aw‘? p¢>\l»*_ <>;E2<. ‘-A T L4 4w§;ke~A»¢p,&m% X 1%? ¥"A “*3 /“’*11”‘““‘
F
; "M h» >< ~><“_-»»< ‘.7"*\>Q‘l'* "<“-W».
@'\':/> 41:11:» <>~"<g';~¥~ }'XY\-—-*)O "B-£mV————‘;O.‘
H ‘
4-@ M; W '1" <>s v~»¢¥~=»~“Q5 ~’~"=-*r'*.*“’“°"”’
\ - . - E1
or\ X 2'" AWE‘9('9°‘1~€X WA ~70)
mm Man Q;-»o swh» "-‘= I
A \\T><,._'B<L\\<& “°""*"‘"*“‘g- . 1
,;/r’ 7/( I / (/*’(“*’ ”“V Mi
M _f"@>£<>*<'“‘*M¢“‘°>§ @’* ‘*“’”5‘\2"“*"(L0 M
pg C’.a/\)c(~r1u~6w;. Q
' ® A C0/\:HY\Lw\w ?El»W\f}\'vv\ ¢"\ A @""“P‘*C’Q_ sP“‘m
<4 C’_<sv\Jn'v\xM5\M).
w »» @vw~*- "W-—+ 5» M /*~1’@
hm bawwkul. ¢K {J§~¢'€K\l»>'l3 6L .C¢v~.z£:~»¢t Wl7‘a? .‘ .
% $M<~ L; u's1-\\4_ Mimi! gvvnex. =
‘A — } "‘ l ‘__g, ‘V, , ___ _ __\‘I__*
|
‘ :
I
fr"--v>-~ ~—-»~» _~_-».. _ -‘...__.___ , _ _
.- ‘ - I » W -~*;-,=.*’¢~—-‘<'-w-|Q.\|»,=wlneuiI?>\: M hi
i
._.._.._..._..._-._..
1
i
I
Z
!
P
i
!
i
J
,5LLWo<,Q\q;.¢ T Ls \@ouv~a\_~4.¢~L .50 kn d~5Z<‘~;:’n'»¢
D 1. .. A '~ W-----~-
Tvk.-6*(‘Q‘;vY\c""\l-) L._J¢ "T\)(-->,\/ La. A‘
Kw" A ,"°~'Q'*~rw- K M» 0* '“-Q-s ‘/3
6'9 9'; T 46¢imam ii /9°-Q- POM °‘°&’<)
({/Tam T Os uw»L{3¢~r_-n1la @¢~,\4.-\'~/\u6u-s-» '
@ T M Q»/~@~?--'n§ @¢-+-»-~»-> >21? ‘W \=<-“4~
P"rg§»€§D -Lai: T \<>-_ cmiw\uww$ ii" AM“ P°;’"t '-
Qe__,€ ;( , 'U;J~» bn ¢in_E<'%¢{>\‘m ) ¥<=~r exrerra éjo
W $70 W: '
“.{;L-—TX°“4&- www “"“*°‘"“‘s ""’@U/Q \d\)~dk'\,_L awva ‘n-0 F<>‘~i_3 ~§~ X...
La}: LQ=-.~3\- ~31/.‘_'>¢., '9 WWW v~>éX Q-6%‘ X.-H5
A MM“ ‘;],,w,_ ~>LA/~‘-Hm). '
:3uLW$;,,_ \\w-¥>¢.>\\ 48' ) Tl?» Ba Q3) welww:
\\Tua»-1'-x.>\\L € ' ~ ‘t
(5 “-3, , \d;,__ ,W° ,0‘, 4 5 l\ T Cdv-7l~»A-\-'x.>) --'l'1u\|»< &,
xi “%l*“‘\\4g Ian/\ -‘,\Ol"T‘L+T°‘°"‘T"‘°’“.<€
(Va U3‘/wvunw \\‘K\"'\ 1 ~
. F (if? U.» °,C1\£n/!5\‘°":h:() ,
W Lg Qwd.\"v\uu'S\D) A‘
.¢~‘~*?7 \/
Xhq”'4fVa'7°6/‘
‘___,_.( X.h”'@r/,QZ’@r
.gory
\
x
|
I
I
3
i
f\\b‘?€.: In cmvem ~12 Wm "Y€»wQi I4 <~@»@ J'{----— 1
‘t3-‘u_'q_ ) <\-\<?‘(,¢\)))
“ Ev’e“E0:¥L5¢Y\9‘\¥\ 112““"°*“'">~ 1'4 [email protected]“'*“*‘“’>v
UZUM, _g,;'w5{'0h A @oY'1§!€tNv\j3 M70 §u.o£~>
\O
I
K---—--~ - - 1 —~~ ~ T "*1 __ f, ,5 -I f" _v
M2andmaths
5.,
4 V/wQ‘
'"-(3 . .
2,?
1%?
Mergné
73
'5».U
VI»
W" @ *
é_ M \\*><_l\ J, V 'Jc.éX. - =
Q é X U; "av-.,,»-q.[\l4\/Q C.:>~/wazi@,¢ :1/w--6 Pow-*L ° " 'M V.
lg ,4 Swab’ ll-I%4‘wM . {tam 51*"-"‘Zj ~ ~ -
\\z,,.r>¢.\\<s> WW 5-=‘/m 2*“~:‘T‘
xm- mx = \\*w-Ml C ”Q-_
,-__--
,---
.@[\$
3'53
°"-:2
Q
,x___-X61‘ <1-'TT4
Q/P" f- 4
'(e, \\T»L»"r=»°\\<€ uwmw \\"°f"‘°“‘*5 ’
6r\:\CQ, =><.,, wws M‘ M\=~<5’°“°‘"*5 P°5““§ "£' IE1,
~w,w¢- /§\/\n»u$ UZr-I ‘F 5» @<*Y~*\'*~~"-*> MK"% T lb '~r*r\u1>*{: L‘ Cami-|'~r\uk6\»v> Iai “'€'°“"'“ P°":’t°;?'K-g
Mgw Q7] PMe@ ) as :4 U/\/\I.£vrw\9»O
€»v\\Je.w'$¢%) ‘T 64 Cd\v\;\*('q/\|;4\”> .1} m'K».‘,\)' R3,, ~
11:Q,,,,,@,,u,Z(; 57¢ $u.@1-Q {I§»Ji= .
\\T~»Hé. \* uunés Q'r<»~~) ,
(>»\'v@M Qwwa '>Lé-)<)u~HL Wm“ \*3“61'~+P-:‘_ v\ . I
1
Q1,-= QM )L\-5‘/\0/YQ 1\U&n:S <1/\~kC.—=§fl'X|\|"7~o'
52- C /A Com-k’H""x
UK» T».-= T¢¢u; =>,~1m|t =--= \\T<-*-~>\| =-* A<=-""‘“"é <. Q~.-KTQIIQQ
—\
~\ . = § Ml
T O> ¥>m:.v\@Lv.A.
Y (__ f-f»/7 ~~~ -* **‘ "-
. - ~ ~.
5
|E
I
x‘
5
2
I
I
I-
i.
i
iI-11
!
E
l
3».-.
L.-.._._._._._._~_____
01*
'-
.9.
ai xi)o\:>U('6'l/~/>O»O
mm. @,>w;t$ 57¢ ,@ud~ Hint; <
\\*r~»_'v~1.\\<e. bkS|/uuvw_\Mm/ \(-1-*»¢~\l<i4? Lg»-Zxw_ X
we /§M.0~'7/Xbl T i/> C¢;v\:E|"v\u_av.»\_¢SY\X.
W*’~ Cam wY\"ta: ‘>L;.a T.krx°)__'.X°. "
. New <1. L ‘I .
’$f\"\CJZ.. Tl/IL wwkcm C\> E/> ‘Emu vxex GIVWL ‘€-'~¢-' I
'x"“a+'7L<> GK; 6'0. Ba 6), ui ¢@W\':‘*5'\"\'§€-.‘
\\'l'Q>¢.3+'><,,*\ lf>c.OA < E, W \lQX~3+'x.)_'>:,;\\<$
=9‘ “T"<-T;1+"Fv(=. -Tx.-(‘<5 W., \\'><-;;_+A0c¢-571° \\< 3" '
‘F’ \\T**T@\\< Q W \m+@\\<§ f ”é Pocwi °£ X4 $oT Ls ¢<§v\£\"v\\)_¢.’s1/~15 W1 QNQMO ?°4,;,$
‘5“""*“*\f*P/v\>\»°~ T iJ> ¢’4>‘v\i~,(mu-<svJ> AY\X"
ll/Tvwz. 0L—'<\)<L_¢4-‘l\/5%/1/dc M
\\Tx\\'é \”~'\(\°¢\\ -, V >ce>< -—>® "
Wa /S\?\<s_\0 W T (A ¢<miiv'\umus-<w\)(_ ~ '
mm wk [~><,;s M Gk M,W‘,‘,m¢U-“X /;~dN?w“
VURDI +T°"“""?'V'>L. ) .
- ‘I A
Pwg Q= éwype 1170.5 T {A Q¢\i£'Y\u&u.>' mx,1 I114, S{v~ie.ww;.»~i ‘C T C/> Qv\9<I'vmc>u/> (Wk /imam’ ">5v:\i'._
¢’6*<\\lw</’>Q»Q>3 , 5\&'>¢&¢ 11/U11 T I/> @w\iiww.¢w> gi4ww.
pom '><°e>< ,‘lIZw an d»_Q\‘~\»l*l:i<w\ 5?“ £120
PW ills 3 0ux\r>{'b~carra ‘>,,.,l\;k'@g§_;<)'uj.‘,,,,,
»
=7 T EA Cm)<;\‘Mu>/ aha, QMAF ~G- WM am _au\>H:'~cwr7
) . 5(v\*+'X_
New '5<~€-u2. {@611 £15 Q &uuw-\co_'~$~X) 50\>~d C€r\aL:‘&;!0n®)’WQ"\AN£;
~""*‘" -4'" ’ --" '-~ -- -- ~~'---— —~-~—~--—.._...— x _-7- ::_:—_ :_,-__v: __.___ _ _ . ,,;,-_~____;_ _—:_; _ V .__ _ _. __;:—__—;¢_—;~~_~ 1, — .,.,=_ _..-... \-.._~ __.
‘ - -- - ~-.~-.<:a.w:—.- ~~-1-V' ""' 4* aw
1“
@i
5
I
d-‘1”~'*’0"@ '>¢—“3 +'><<> E -X X CA 4 llévvw/v ;;qac)_) ,~
_;___~ -_ '" _:ft:.-~.:= _lOz-1-1.2:; '.—.':.=-::—:;:__,__w':;~: if- Q. ; 1-"::;:1_- .4-1 » ~4 -
§.
‘
i
I
-E
/_I
F. -- —-.__-v-_.. --=~~----—~-.-¢~r- . -
I
._--..~ \.r-7--1.-»~,-_..._-...,,, *_.._>'--~_.-_..-.--_.-<.,...,---....._.-»,.._~*.~....,,_._...,_ _‘,,____,__ __,,,__ ,
’ >4
(m * 9* ’< "M" *1 “L ““"‘ Q°“"“"”awwi '\‘»)(_._>,¢;\i] '\:>e_ O; ¢-Yerrodrov)
@ T I/'> C¢rY\i‘\'-n‘. W\ K“ ‘Lt (/5
AM PM *1? ><- V
@ T 1:/> C-vdt‘
Pqwg ._@ Swvvsk [RAE T Q5‘ ¢ls~rL;b€v\»m~/> Qx) VIM»
U» C¢;~<\9U'Y\u.6‘-*-*v¢x '2*""};‘ P°”“"° °’g'X' ’
ujc .,»{°<;><, (L1'.,,W $1“ am‘ €_%<>)_%)~__ 870'
/Wow V1,; \\Tmu—-"\‘L>¢~)\\ <-6 W‘/~w~s-uvv ~>¢- 'L’ R 'x“'\\we ;'>\~>.¢5Z /°=(/usw WI Ti»s"u-~>\%~r-~!l2l¢<v\>\*vM~<**\X.
\I;q~('lI{(,5 0-U3 '><\-;'X-,_ ‘be. am~d"bu.:-o_ Poosdz o-QX
GWKQJ; uo-= ‘vu-tx +'x;? %,1 7'-'[1},M, m6)((~tXl40LQ-1m4s¢¢w.> l .'
Sb u~) \/;ML‘\)) WK a,Qi§.'___ .
\\T<'_\»>3 _~vc»¢~> \\< 6 WWW “"°'°‘°“ <5
@. \\~\'¢<»@.~»<;.J<»<°s-*vc'><¢>\i<aw \1»<\~°<»+'><~~'*~“ <§
‘ s.
\@», \lTw<r"f‘»<~,+"m-"\"><~\‘<£ W (l#<‘=-°<1K<5
.¢ \\"r»{.-~w1.\:<$. w \\~><.-»\\<s
<;1>¢~¢w \/ Oiéb]
@ 5'3 C4wJ¢\'w'\U~eM/Smg:/% ‘L5 u'V":¥a‘”“Q'G c‘"°HW"X*
‘M-Q .
-
K
E\ 1 ' . I
at 1 1
\\
m X. lo,“ @\.¢.€{~n.£Jc\‘<m, E70;
i<?;w1{,dz S75 gwcku WWI:
\\T~x\..*r-><,_"\\'<& W 1'>(\—><=l\<<§ ',. \l°<}~€ ><
i~_£7"'r;‘/> 6¢v\Ju‘w\.u~s»uL out '7<~.éX- Ewdr ‘Xpé ¢/>a»§\L
aJqf\oL‘*b~§Qv~_(\6 (Pg: so ‘>5
<$\n7(- <i’MfQ°*‘”/5‘ Y“"°4€- *
. O
‘2
' ,|
(
1
-1 2
-1' I
1 .
H .
~._-<-- ,-~---_“----v-->~qv:,,,,..-9,-.¢-——...._..._ ... _ .,_, ___ __
\lT<~<- -'><1\\ é M xm--><\1 =“? T24“-T1“
€> M \\'x,,._'x <~.~'T L;
&'--300 'Y\-1
1‘? (Li "T"Xv\~—'T‘zL“ < ebb“ ... ’ ~ -__
=- M M :11“-*1:
Q‘--
'“—-3:»
'n_5<>¢ -
Q <~_' '>(1»\—-9'>L) é
u -=0 <-_- "norm, cg 0-9»w-p 3-regie,»-0)
.
\
\§_]/Ma_._ T C/> 4w\3u'»ruu-u~ 7(_ A '
¢¢Y\\la*{$v-Qlo) swppaw [E»I'YIA~- ¢¢~\’<wmw> M X) we. sum
/s\w.Q‘(j»1»_I'(“£»s \r>"6\vv\aL1.a(;¢Y\
y»w{>-{>¢*»eU/Tali T 1.'/- Um‘<><>w_Y~d--A)‘ Mm -»e_<'-a/n'5€rv~¢L¢x
,$€.v\llM/WU. §'><»'§ ~3~ X \»\0Luu;J*I;" ,
\\T-><,.\\ >A n \m\l¢ v-- =>-7 -\-E"-‘L >l V“ -V
=-> umlx = \\TC%“m\\\ =13Tl’-‘-1‘l- >‘ 1 4*‘ °’°°"“
R5. > L
M awi?‘-1“-- =‘->1\‘a“\\=\\' \1- “ ~
" \l°<~\ll.31.. ;T|7w.,~~d:‘e>< ¢,s;<as¢Q:~_Mn_\\mi- Arm-
-a7 TC‘6+\') =V ’
1nx mu
in - Q“
—' n la“ “ u'X"'“ VI “'XY\
5% lI‘z1v\1\~'=—-’;\— %o ‘vi-->8: .
% d'r\€~———§)O;€1.}>'Y"'*§°D , "
ta W“ "_>7° D _
=1; \\'\'*x\1___>, Q '4 G WM i\r\Tu..|| X
3'1»?
3° “TTl»\[\--=_iQ‘?u = ¢ <1 ,wI~}>;,\=‘£/s e\ém:brrAxci:i »<,,| \ \II 7", '
‘to EM Qack (L53: [T?),,[(>i/, $0 owr/%u_q>1v6<~:+am Wad A.
1.\>"(o\'\-an 0/vw\ W/~'\cL ‘F_ 05 \>¢u~v~J¢A§#,__.4 ..
C)“-?Q\
at?ty.org
MAvaabe
www.mathc
.___.._............-__._T._V"
3
I
I
f ._. ..-... . ._ . ....,_ _ _....___ . _,_”_,_,__¢_,
IQ n...,. » .. -‘<1-<vun:¢§q:1'n... ‘_ x _/ ?l;¢_§r¢»@¢£:.M Q1-M1-.
Lqjc, 7Q 0vW_,)\ lo-6. "C.Luo nmsvvvxzvl b;.‘v\Q¢'L,Y é.‘->¢-‘M4
‘uwn ; Suf um ¢ i
\l'~l\-=1 A
L_ .T4?» 'Y\0‘fYv\ G’$_ ‘T vs dd!/>1;
I/‘ Tl:""~:<5Y€YY\ <_\“$>‘- X-—-5 \/ (kl. C¢y\j;\‘y\||6~;|,,<--—----w--—-ii.,_..__
_L\»<>‘*W*~L) Qi'Y\<’-Jw»/ o]>§nr0Lia\/ -‘F-YWK 0» '"¢'\_~_-Q‘
;( ‘K/vdco A ~n.Q_ 15PACQ \I) ‘U’/:w-
@. IITII /\=><> @ l‘T1LI| Q \!T|1llvc!I ,' V>cer»><.¢ -
so Ba 7 0k
n’\-70 swb V2313 WWI! Q \*’\Il'>¢l(- 3V?><_éX
IF» sq, mu 5- M 5%? It-KI!thug‘ . "'(|oul=\
_;§ sq um Q M-L =7 $LLl> llnn <= Ml\'r¢ll=l . "'1-"F"!
-~17 UTH g M < C» (1=a4~£~£ um)A ::->7 UTll<w. -
L-"' ® 2»; *><.-.-0) WW mu» ~;~@.@V ‘<75
’ "~71" 4 $14!’ UT"-H = "T"
Pqggéi @ 5»-§(,,_ T ‘Y/> A B5\.w\oLa_o\ CI“[7(?f‘f“‘-£‘_'V)_
W '?
we T~.'x——-v\; \=¢ ex b@MdJ_4LQ¢~&\i'1:.'nMM) Oiyuél.
¢Y[7Q4‘r<>J¢w7 (X/Tw (Cl 'f\avm >-XE fr ,3 Mt;
HTH == wv HT-LII W lm.[1 .=_~ 5&4wag; , “F W - 2
1
i|
!
‘*5
@};<;
Ii
* /
— MQL ‘o’L>\h'6U.A_
9? “X 9“ .£1>T~»I "?Hl=1°‘ ° > P *<i* ‘WIT:
YEA»; ‘F5 = T == _\;._ .'l1_ |A\ul|=y.'%é””
._ =J_ .1/1.0lbw ~
-~ \Tl= __-A-__ _ --- .-,La) Wt WI ¢ "'*° "*“ \.._»<£>. L—~!
_.
5 - =~*'\ ‘ O\ -8’2 h ~ ' 1 Q . . ' l
Ago UT?“ ‘$151! Fm _ %
lmu =+ \rw mu 1., \H'H~'~" ("21 <0)
:57 khan 4 t(T|\|m: )x/>¢¢_>(. #,m”¢1_§4
% . ';J
» MT@¢WM@M@@ 'A 5";\CQ. ‘X---)~>r_ -§vF¢:AJ~_ \\v<,,,.-5¢l\——=>.> '0.J!v\--,.¢. L.._
f“ ‘>1 \\»(,.'_-»q1=<>. _‘ ‘
NM ll"f1“- nil .-_.~ H Tqxn-1) it C‘ ‘F ‘vi Ilium)
‘é “TU” "'X'v\-'X“ T24 \:=n»w.L,_,()
E M ~ '
, K Z’ ~— 4* & _‘_i W , ~ ' Z ', L \ /\/E TRMW--~ 03¢.) 3 s = L
~=-_.=-_,=__=,,?___,,_=1', ‘ \~\y(>o<>¢T><—'—ay ma ‘wax5 “W XV wk “i M w1l~s;><~u»>'.'u:»>“ -F‘e@l1;,
awwl L6 ~ <w\ (1)34 a[LQ;m4,-,5"
1 Paw Ii Cav\4.€av~.i" mpasuok 1-
.-\1|%|(‘._;_ [H1-l( ;\f=:<e-K. V
Pvgk -5u‘>‘>zs<-Q_ HZ»:/v~@ Q/r<m;4'l‘7>w ax. .C<wg{I,,.,i,,,) %
6W_,;,_, -“Exile "T1" )' Vxe_;<,__)®'~
l/
SLPEUJpueuew5u_61a|/q
L9‘/\ cwotw ‘-21> y+m/~¢. ELI 1:‘ ex‘:/Z) I %
e~"’\‘>"'*Q[/\ '12’ Silw/\§> H/TI fT>c-=~¢._.=7 7g'=<>.(u:,,_ A’)
' ~§u.\I>F¢4& 1K».I 73¢-=-Q , [KIM ® 1
a
“'Y\\\'><H if ll<>H,~"-*0 -—--=7 “m “XH -=0 =-7 ilx-=0 H
‘ ' ?°(=o_,.4I
1 ch-ol~¢- --, N->4__~-... ._. __. _
"' .
fi ;T_X4lQ 1:0 V D ‘TKQ4 1:‘ ex:/Lt, '
“X 2 3‘ >- "GK :0‘-/V\e»\ ~3é§[..\ " ~ ’ ~\ -
as-VWCL T e-Xi/HZ ) S-0 zx. .
“Wm 'E'Y“""(D7 (Mau ' ‘
~\»\\l1:'vll'$ “U” =-J-7 [['1:‘j]‘|[ 5 ._L_ MU-"_
§J\E"Y¢"»Q 7;\~lIiTI °’“‘”*g»€ #3 T.,<L~'¢.~qLL<>s!L-/
0L-§wwuC,~~’='€ 1-"'». A
$43‘1;-\ [/3
186V-v\0La_(,L @,V\ek‘ 1.-$5 R Q_|2_)
T ‘>5 ' '. H ' H
_I \\,< @¢wve.wse_,QU) Q»? T exgsiz (M; (,5; <3,,.,g\-W-kw)
W ‘Q? W» 0~\1> ,"f'% M L"5W"\@‘@J.9~\9k~<o'+1v_-~l'\aVQ
“u e -£;l1‘<1lu.>;\'/ 6 K1 III» '*w¢~»£ T,
<é '"\\|'I:'z)l!.é H21”? '
- Bu} Tx.-=3 ¢Y 1:‘? :1 . golf C M %
-\\l’><ll 5 \lT¢lI }Vv<e;(_ I Y .
wwéw cM\>Q,,+¢,> (1; W1/¢M.$¢4 -F-(¢u:E‘
- _».-~
Available at ,
\/vvwv.mathcity.org’'\
, .
\
% ' NM To mm rm. amum@1 g -;‘)%m,LQ‘_M
0‘
In
. ._;j.*ii""iif:
i1
a.
i
1
A
2
l
i
!
I
- u - .\ \
. i‘ ¢,k- 0!P0 Fl)‘: '
® Lax X \1 19¢Q
.Qk\’\Q_DIY 6">a(1/S - »;
‘A ,Y“0vW“-Ni 6“ X \I,J;, \{ Us.
Ibommvwgw Q wk .?,QQ¢\»-\i,,\a*'*cmA.c‘¢~us dI‘0€_5¢\}1\$'?<*eJ.
@ g <?Jl§;%<“";Z,\'i§1~»»~‘T’?<’-Ct) ‘T’ M 6'y\_¢...."tO -3'“-K .
Ye. TEA L~‘w~a.a-{ n/J 6“\'--"t°"mNL"”
-'\
\'L¢s<>~m@r\>\,\;.-. 42- '\3Y»--Q, e/)u.Eb= am T/5°**‘“Y\“*'”“
- K ($mrv\c{ 7‘ ""” '
“*T~1_\\..-._-_,- \\¢>¢\| '5 ‘v xex. b€"T£WL£_
\TZLs§>¢\c_¢AX@W\Y4“Q}AML"-be'I.)§¢'\'n'¢‘§F‘/\h.¢. M ‘4f_f/\@“¢~“’-=§ L3
am 1,s¢w\@__<b~n¢: '1léo-\<~g>‘~¢‘*'~ "$ X Mic M *
._@ A h\,,,o%a.»~Q 1/sW;@@'¢»¢s~ \=_@’@-~‘w»
at ,U~r\e.M 6\’Aws X “Wk ‘I M am '\S€m“Pl“»“|'\D‘('Y‘/'\, -\ . -
A "V~.v< -W sub ~'lF-~17 T ”“”°L('T
I» ' '*¢@%Yacii\/‘¢- &6*i/\MY\' '
._...,-_..-~_.-_. -.._.....
\/ .
i ‘
up. :>§>~.¢/> >4 ¢’*W\“f ‘W l$*’~*3>Li"’°‘°“{”\’°Qj'4""“Q?7 %
.Iovn6*FW~5 -\"l:“"“- Q U A .k“@mm\DNgMATX TN‘; AQAQ
Qi._nQ_,w%1A \r\;~me.°-m¢~ry\'v3<‘--‘ _, A _ W _A_,__‘ ‘— ' —~_l__~ 7- ‘— ‘\_I*'; ‘ ——"‘p_‘r*._
l
l
1
I
1
{\
vs ><mo v <~@T<»<>=v> @
l
I
I
X
5 Y.
Maéi
Merg'ngManandmds
v
\__.--
ck-OI
RQ_'w\d\=r\A Q\~\‘¢3'):' ‘,0
-
Q33“ .<sY0\@»1TE:nI K 0/ML \/ aw.
51> éwk 6(&%'C-\\€v\i F~,J; 11155“, exfut. \
(A Qwnaaw opwrmiw T will d.~svv\au.‘v»X
_
_sw1~ 1131,15 RT*v~l\.-=ll%ll 5 VxeX_ »
@ TV“ ‘ "‘\°\'Yv\ Qiwr\cz.w{.$(:a.ce/5 1% Ibamwghh I
buil “r\o’{I wu2..QQ)$%@,;~DZ Qnawuwvykh <¢;;,._,\ emu-m|>l7-&)_
®' T0[’oQb—§l'@{T§Z' F-‘I-%o'YY\O‘\"F‘/\)l§Vh ~i/s &'Y\ ‘
% “‘Q: » ~<¢~»‘?Q¢><~'v¢> $n-~--~ @*-'¢ Ml %
.% "
- ~;:¢'._-=.*,;;_».*
‘ " " A3?1';-;. .‘ Lw -¢»m MW s@%*“;""3 WK w>»Q»@w1 1;&,[\;;\(,¢¢w-<. lwlmeitmi
»0’~"Y\<’-w o{>exai‘o-r T @\¢Yv\wlv m-wk °6“’W‘aQ
wwk -we. c‘»~;£a~:i> M, M swt; lZZ>~I*' ,
.45‘
' -.,:
h ‘__rV:.
‘ '5_'~!' -5 V;-:':"'."’.-z ; ~‘ . ‘»», - :_ _;<.=-‘H '_
. -' 11%. 7-, ,. . - -
Pi .: . ‘ .T-,*. - ;,.-__';_y. -' \
1 _.;...-_.¢.-- - .' ._....-»
"m é "TL" é M111" '; V 'X€‘)<:-'-~'*"~"'?'-¥@
952$! $uH76§Q
T‘ uyil @Lmv\A5v~
<9
&K1»2- Ail ¢§>¢~'\‘1>\/
“Sam-\6Q__ \/
M, P/\ ml @ -LA . ~
WK WW6] w~n‘{te CD ¢£,:‘:a “kw ¢§_.
“ ~“u;(.|1$[(1'm1:; 'V">¢&X 1-~,@>
AWL ({T'>cll .4 Milli!) \fxé><_ ¢»»@7 ;
¢NWO £6 TF1» (_l.l6) “MA I‘/S Q6“-bw»,nua”, ‘LW p
"-~I\‘-um‘/_;__\\'m| ~, v »¢@,< -(‘Q.. @~:» $_wg,<2.-wt~
._ 4*/3&0 Ha TR (J-11), TM C<W\_=Hv\lA6u/5 I_lT1[|5m[[;q|
\+xeX léé-D ‘us /$¢;9;'s3Z1~¢_.,L”,‘\
' I
1 u
'[t:~¢rv‘¢»(”,'<.vx$"ba'v»'-‘A '“" ~7-°>Am7° Sud“ T x
L --rd‘“‘ 91 - K4 ex _-"-.*“'*1‘-_)4
w\\\w\\ ¢\\*v-»\\é M“ " 1 °‘ - A -J“.,-. ' 1 L ‘If\ <1! _ “J/'£.T
¢,L>'(/mu» Wow um 2<@-\~/ @-=~*~=r>~“~Wz
>
—‘\ ' ‘T "F Ame 6’-¢vd:\‘wu.u>--A ‘£7 \ ‘L,T exwh a/V\(éL ball > 4 T01"/‘H
1? -""i"' c'\{T-'Jb;'\
i‘. 'I$.\'._l\ p4,
‘ H._r4
6%.»
1/»@.mv\~>- FE WM @»<1**=* A 9~‘-w @P¢~"~>‘*""' 7 L
MIL dsmcm X~ AM "‘4“([‘- Y “ML P"”"5'H"‘ ~
¢ M suah7) !
'1*\\\x\\ 4_ \\n\i $ Mimi 5 V X '
tM~ld,\ @,,",‘,w=.,>¢ re» M Q? %
' F..> . .
I ‘-. __ "»@;=»;:m@1»»>_i % %
wt X ht ¢ mww svw Q" W~‘="' 6\’“°-7~ A7 %
,_,m,,\ \\~\\,¢m;><. :1, J0, ink ~»L¢<~Q¢-=%4z> 4. "
_ all _.
NWM \1-n,_ M X KIM»; ex:/st; (icvvs-‘(:Qv~i>s ~m,M
\,Q/‘LL, §>5§¢£\‘v¢ suwk Uzi 1 '
§ !.~\
w\l~¢ll\g IMUL é M |!;'¥H, 5 v-xéx,
Y C\\'f,|)_ ' Y l
E
1
I
i
'[L~¢lTYP/'YY\= X L-e. 0; é1>cL0v. 0rv\aL
M mm M. @'~/>4 M1,. ‘6\nr‘e_ 4J_1;~@\¢“ 1. »
[IIML "(\dYYwS d.<L5;r‘\/L42’, “'31- /50\~\~2_ <w\X"-W.
U;/M,’ exudz. -IWQ 6“/\s4:@w~92 Fw\,w\ sud» R-»‘\1§
-\ W 14 W» é*“"'*1h >\~<<—1»<-'<““*** ”"‘ "v‘”*>A *
._ Q_,;Q; X‘ ) XL (L "r\;1Yv~r\2A.Q’:Y\~Q-9*! SFQMA
uaww ML U/3» 'Y\cwwvs'\\”‘u| ad uxn‘ WF°°kw'aZ7'E
.@ X. -:<X,AW~> > ><=~= <><, M»-V ' Avaiiab\e at
I
V
A‘ www;mathCity.0rQ
Q ,
7
49---=-<-- -—-~~‘~—~-»-- » ~--_~ —_— , _— _ __ _..-—., ___ ' ~ .._-.........._.._.._.____. . .._' " "“' ".I‘1'.‘-*_#7‘-'II\$"'Rdl|=4, -..
I {"4 :
, i Q37l” ‘Q t ‘ " ‘J0 “" K J‘ ~ " )L rkv-ml C--'u|v"\.A (JAM ‘Alé[>Q'~<°\.;QIw' wil d4>YY\uuF~=- )("@,v~@Q Qi‘0vv\3e_ X,_(|éT:X|..__,s,;(L
.-‘Vs lcvww‘ 4/\r\'[E/' almaw D(_T)=;<, ;§ Yowa RCF)=)(,,)"_
$qH>5<,L ULJI ~w~e_ my W\_ .
sww T»: -\\\»u. ~:~_, \\~<l>,/= MNMI, 5 VWK. i$\~7\'Ca WSX) $2 U/“I ' I
-~\\-Ml‘ él\T1l\=.é MM. >v*<*><~
Hwa \»UTRm Q\~\q)-. * L» , -
. I .
'*\~\\'>@\\\ 2 \\‘T~M\-1. .4. “"\\°““I 3 Vxéx 3
\7(\ “Wk XL 4% I/$o~rf\UYF‘n4E,
€‘@,Y;,ulz @W\\Q.>»mT¢M\"?a+@?@~*‘“wv>'*%‘
IL A-AW -wt ~‘- K W W“ $“M%Z;+;(U:°°‘°”“1'L;A.XL L\’6J\_I_$;¢£’Aé6V\*{‘Y'\\$*:%
I U/3/4 {?'~smm;\§ TLI W45“ “WM d“L‘Z‘ME€"'
wt»; nip-1¢q>yQ~3w @~@*‘>°“"“‘*- ; _ * V *
u§\/»Qd~» @¢v~r\\vQai'I2/S U’:*“‘e"U°*’:"é)‘ §>¢“£H W, . I
‘ . 1
____ I — _ . j
~V— §-l Q ' V7 I
5
/“ ?
I
i
..1'
~. . . \_._
_= ‘ I% . (MO
N mm» A-* w .40"::(%‘€‘i-*”"%"‘T‘aC-'€"":.“i
awn - : 1“ °YYY\ aim“ é?”““ Q? QMLA Q '5“ W‘
A>¢w@<.¢m MW V5» /‘aw M9“ K2‘
OWE . I/§ow\6‘rFW~@h<
Egi; wt )(\,X,__ gttvfn 'Y\£>‘(w\ Divxewv
%QU M WA *5 gm W X, 1» **1~r>"@~*¢~'¢~‘*‘?11
U;-L QM L-'S(I\-l'v\=*“l'*Y\-‘T 0 ‘>5 Jtvivhx/Q - $0 W1
a)/>uLw\Q U7-.¢~[ 'Y\AZ'| . St "bb'PT0v<L $T:~I'
“Ag >< I» <1» --aumm<m.1'm2-s¢@@,.x £4 {b§,o,Q¢.4zcC:~Q02| _IA=m\<~qfM~. ta 04“; .
Sn <s~ro\w “bo PTOV‘L 11';-Ev Q‘C“'3 Mix‘b:\Do¢Q~>*K\‘€Jvw*U I/$<=w\¢r‘>1»\»i) W. 'Y\°-Q-A 4» gm W53% <>,m/Q12 m Qhmw 67¢/rvdsw T wll
rv
“’ 1
Q‘@,q "6'0vv-Hg ),( awi -um C¢M{-ewdz -w,n/X‘
s\w\-u Ul~é= ' I - -
W“ \\m\\ s \\T1,\l é r~/\\m\l _'> V “Le ¢<“>
uk {t>1\,'§<1,,'>c1,,---,'><Y\g \=.@ o\ <\oaA4§& -gar X.
EQ'Q\»v\L 0w\ oY12nrI>iI¢\( ‘T: QBCYV3 ———-7X V61
3 ,’Q,;\‘3(‘-_\_'1ZL')(1_.‘.----_+"a“’>(n ..=—
,,/(J ('1?,;)"(,n-_’é-,"l,A,“q)~€ QC?) QKI/its 'YY\'7o}
M70 §'U‘2’L"" V
"~\\\'YLjué l\Tm\\e"\Wl
Q“ @\,Q,Q ""L_.-—- (_”L\')n./1.7--";1Lv\') Q: Q.‘('Y\J \
cu-451
'1
I
I
l
E
.._.._.,._.i._,..._
I-
\
M/wall./S
“Twit e “"\ll"’oH L-->6)
Wlmil e llTmu ¢_», Q2) % %
9? "'11.-_—o 9 (E/v\ CD -aw/wk ® Qrrg 6~|DU_';OT‘bia‘a‘.b_Lau
<“r$~z,=#<>,mM\,V@/ .
IIT51/ll = Hi Yb“-%><d-(I
/\
5_-_»
5“M.-
~
-
U "M, “J II
a,M'
L?
KW! %
(ii u/5 ‘bake \\/\ :'w\.aQq {|l'X;\l,\l'>(1,'_, _._»)'>(,\[f}
W UTmll s IY\(lm[ + mg +---- -1- |~1,“1)%
:2 M' &: 'Y1.»= C"‘[_|,*l,L')--_,mé§Q'(]- - ‘"3
mm}-Aw ~}m(>Q»Q»l_1L~c@ .;;4;3.M_ ‘12,Y,,b={= 'FYL=.vv\ Q5) "f\ob€. '0K»~E: u '
--\\"u\\é~_ u*m,|\ ‘ é Jilifuz W‘ mu
‘ W‘ S u_FC'YL'11'Q7'-2. "j;"il/v\‘]U*
“W -~ é um~>|1ww [L-= QF'>F»> ~--,1»), MW.
W '\\%PN\ == 4.
5
=7 {IPU i
I
.e_’
P1;
:=
. ,8 ‘LL“~ — W » Ilmll =1~1».;+m4+-~+|~r1,,.;
f-.
n \
1
F-'= Q7"?/7_‘>\"'“) F“)wt=w.\+\F»\+'~~-+11%
F" - ~-Wm _ 1
Q5) ?
|i
i5
1
i
i|‘
\"b,_|
1\*U\\+\\"vll 4 ‘“'1'|wz|
_ WI A ;0
’ ’ M
if c,|,\,0]
.\T‘U\\—'\-“").:-.,l-\__--_._‘_l1'_l,Y\l‘
' 11%;! 3 A
YU
Q“ aralzi ‘co PYQVQQ) it M “be
€""“"“‘ u’\”*t urlwe. Qru/JG o~ C¢’v\/>$Tewo% 'm7‘f'>
5*» "MI M; mu %~ w Fe @'¢->%
mu: \lPll==|- A
L%
W“ <1 '~rv\@(>(>,»‘_v~Z .€:Q|(v\)._»,R ha
;,- _‘ _
u u *' L‘ %I
$@’L\= “T’b\\ -FY Ml Ybe Q'(-n)
%(W 13 8 émkenmg 5?“/wcjtcmq , x,<L¢»a,l,,,_§.,,
<1/W ve Q'¢~\>, M kaug %
K Rm) - -Eon \ =- \uT~\,\\- "TY" ,
=.- llTC'1,*-"I3" QT 1'4 ILMW)
e Q lm‘Y=Y!1 ,~r/W 67¢
\é. \$<A~m-1?-w>\g <-\m,._~u , <70 _
' . PU*J*“*‘ 8'-= EA-_ D W? Lww; ‘
\\m.~'v\{<S ==‘-7 \$<m)-3@(v)]<f.
‘U114/> Os -5sv\i:\'Y\u.mA mi? g L‘Qn3_
tau; '*(§‘{CJ/\rJ-o’S1Z-v\.' &rYbQ‘b'*raq\d U; Q'@3_ Mg
J? 03- M ¢Q\Qy\)‘
Avaabeat
\~ww.matl1c'ty-org
0
é \('Fq;- T1 '1 Q7, Pv~;>= 0-r>)
‘ <h'°I—+—~ " -- -~--‘-<-_-.-¢4_A.,*_»,, _ f-—--;-_»~~ ~ ii, ---, — 21% 1, ,~_d____, :_.__ 1 _> __ .;,,_;,_._._=_,,,,_: _____.,,, ._,‘,,,_,_.,.,,._ __ ,n__
‘ 1 \1. - 1 yi-»-% @ ;
ii"
: \‘\'“", “Jr R,“ [W . "\'\ /\'1 \r\0\d\'(4 3 ;~-»\L “ '€°“c-¢— 9:?‘ s
W» U/v\;\i; $v\~w<»._»J~ 91(5) I/> c,M\\,aC;t’* ,1,
KAI: §Q€ Q30“); ““L“=1}_ (55 Cm\\mci: Q. Q.ri(n).
A J-\¢~/~01 1T» ~w¢4¢--'~'<i:v<<_n as; £1 ‘to K 6 *5 V
-€\K-.==a\|'/5 A5/so 4<v\;b\"Y\u.m»A)\=.Qa_~uJ,/_, 1‘a ..
/\OJ>=></~>Q\A-n4\4\I~»\I /\“fQa.Q \N~.Qwz_AzLvv\c1\‘m5Y\A1
Cdvmvaxc/{I aiiculws U2 'YY\0~Jl€'w\uw~. @\v\VaL ‘\‘V\*:1r\f:'rnl1m”.
W3 WM 1» "**'"~‘W-~ ,-W Q W M
' I
“Lek suwid {ILL C’b\).—‘=@_CP) 3_\°LFeK>"""’“;‘1*
aw» \\m\\1- \m>\A (‘:1 ®)- %
1 é c>§_-~4__\\TP\\ , l/6"/w»<2 \\T*u\\=='*“
3i ‘*rY\-.:0,) M:-1“ ‘
mm -“/§J:Q"b,,"7,,,---,"l.:Y\). , \ §
7211.‘. C9~"\'Y'\(r’k "8?/ro
\m\\=1 (LU M2 ¢ K)_
5° §'X‘>°(‘>'.“'>'“"“">as Qc“LAm% "LL EA
1» 0L @.Wa>Wu¢,»@-M 11> vi; $@¢11:.\1:
9~>‘** aol»
(~fx\)?'*L)‘---ix“;
a5 d—\~=-uL. aw e.u.W0<~5l~1w\ l.0u4 g
uwowa ovwd $6 H3/we, ak C¢v»;+aM;{- W70
“mé \\TPN 3 V e dc“) %<»1'I l11>|l;1 _
. W wmm mm em -A ¢M+M W, MW“: “M 9- "T1," wuu '-A M; Y
Sc Na '\,\,,,\,.LP‘>"‘f>0\ W Iilim @\_QQ-N,_a,Y‘
‘ ud“; 6L‘.m'0“."’ mt“? @“"‘.‘k' ~'rW“6€ 'Y\-—Av~”w\wv\<n'4Iv\A.Q ~'Y\av-m4 QI-nu, V
v .
'5 ca-¢\.’.\--nrn X Fl-v.,-X /'rw\/.+/~v\"7\ -vnf.-H, m:__“ §_U‘._]M Wax-> _-
"%~\\\‘_%\l-5 t\T~1,\\ 5, |v\“'q/H 3\-/we Q'cw>. , %}
d~\*/“cm ha‘ V5»/oYcw\ (M-*1) , New) 4/->X X 6"‘? V _
"i:¢:>{wQq56Cc».Q9a '.TA»~m@r1>\/uh QMA X,»
owe/K X; me. ‘b>|>w@»@~'<L-Q9~3 4:/gvmmpbdg,
WM Ufa. 0:? {ll [E-4Y£y;;;_
+< _ 1» ,< *---,+----.-¢-rRe:monrk$: Uzi‘. X 0-@L \{ an '¥=¢FuP.o-in C¢é.Q.9»~6i.\s§w<q>w‘¢
'*l\ns~rw\ Qimewv e.‘>¢~u/s 6W1. o U§-~‘l'/5
Cw/\\~D,@Q(0J> 0- weiwic "<'>Pac=.) ) U’ ‘4f°"°’ ;
~1F.LOY2"¢Y\§:\-1'52: A '*'\°Y;'Y\ -
» _$\'>0L-CL I/S »
Pibvgr £51 o¢\=><>\,~¢ ‘TQ"rY\0/~(\<) 91? K '0/N1 \( awe
-bhm ‘I:/>-c>~rv\<$\(P'h3;_=_ 'Y\<SYvY\ ‘5'P”‘¢'/‘H;
QM 4; ‘M ,3 Vlnzvw-\ 4./S‘r’@6W\“»QQJ(Z€7.'w:lM ‘aw u»
oVw1- ' '(
"to (IL. s.Y-am Tm (lé U7” “*0 °" @““\=@P‘ ¥"‘*-U)
w\,\Q»,{,~ . T];-44 VI». QbIw\n_v\§\‘av\a.Q
'\\<g~(w\ $‘>-0~\<-‘L QCYW I/5 é¢$YV\\>PQtQ .
\‘{\Q(Q , Lg, X an 4*?) A-*:'YY\-L'Y\$1;!YLa.o
'Y\®rw\ $\>M-L 7'“/:°- ""1 "\'\'\'\-3"/*’ U;"‘I
¥€w§i?=_ J~»lwvu>_v\4.1‘ov\n.»QA' "(\(‘j‘(yy\ 5\>M°~ X
;;¢.,,m,,‘,w;, to s.‘¢“>' <2/v\a\ mu K A 5~Y\P0.U€Q'(ho mm Remark)
F
2
I
1
I
\/\-Z\""“/ vf ’ -7 A' 1!‘? " -77' J
- 1*‘ ¢
‘P
I “:o.<w¢>-w\(\-7-L\')1 X EA Q 'V\‘{‘vv'\ QC-1\a_mg spgcz. -‘
‘ [T12/v\ e_\r.e.~~6 cl»Iw\.o.v\s\'m~>Jl §HJd5(>@\¢'\» ¢'? X
. CS ’Y\QC.(v§§O/Yfo-'2) . - VA
. a
A “<1
cwvl
F___:_._‘f;__"§.§LQk;( ha 0\'Y\¢Yw\ 101-Y~¢4'Y $‘>wi<§@"~\
M 0~ oL¢~n»\eJv\<1..<'<;v\_¢.Q SuJ26-\?A(m¢$ XA‘}L°WL “(€’Q’““0’{ U7 I/> C6.‘/v\lQ._bQ.'
Q T’’ P %
' ha a Yggui .$£a0\>\'»~.a IL»; Q.
SuJ¢$Qo.ca. 0:? Q YVVL/t"Y\‘c. €P0\Cm. (A ").wQ|Mw.
__i }—‘_ 3 l—~>V_v W _A_ _
\, bQ{Zcw;£\'<m Q-ls‘) :
L,—_ \,~‘_,— v ( 1 7 ~ ~ - __\_,\Aé
_,_
mi
E
..,-
Y A ~§<»_i~n"¢ $P0.C9_ >< 6» /é@»£<k~ *{> %-‘=1 ¢f“"‘\°‘“J’
Q1 C4Wv\‘>0\Ci'> QW?/fa 5?f‘u""""*°‘ ‘kw. X
bkq/Q&é'dv\\[Q)~(@V\t
.P& ;.,¢,4<,-Q max 5,, )9¢.I.A;1l:o¥»L&w\?Ad¢£
vs» P’\v1’\4J) K 46Y\'\/V?-!‘5G@\'d g"“J=&‘“"“\
mm Qi~»~?i%o> 6!/vx @[email protected]»v¢¢>gm,
‘ ' E174.-=1YQm U-'1-6) C4v\:b|‘numM U;-*°"*’Q'\“
\/ Be. ~'~\Qim_ syaco/> cwAT=x—->y
CJMAYQQXQ $‘_4UEu,-Q’ fv\ 03$ K UN\4§-WT YA
-§'_’_i§\_,A._. _ _ -1’— — -'~~
2 2
Q 6
I
I2é?.r'»’4'_*T?~‘§%?:"§=,I'3_i
_‘ .>_¢. . _. .“..._- »--.-_~<.-.,r;» N .. .... V.-,.. ‘_....._..__.____,,_ ,_...,l ,.,._.,_,_,.,,._.,_,,,. .,,&..,-W.-.__. _ . >_.-A ~ ....~-. _.-._ ._~..-__ __. . .
I 5/.
V ’CJ~”--Y.<>l ‘
= ~. \'m'\A 3 I
5 “I )2 . /\\¢-14 0 gFg§ \.A,_,.. 1
i X [,5 A 5(\v\~tL "{\l)YYY\P
%
WQM @*¢[@ww>\ Wk bov-J~@~”‘~ »¢@¢“*°“>< "
I/> C-=wY\:&=a'c:l:. ‘ ' ‘ - I (_,_;('_ \,Q A Q.-“Q12. 6L¢$~v\e~n<i1‘dY\~Q 'h“""‘ Q’:N“"’
" 5Y’4aL aw-¥Y"\hQ m¢Q,a$Q»\ awi L"“""‘L"'L S(i*;"X.'m¢k¢wIT»4rmL;@m\,4¢v;x. ~
:lA){'k'T\G\¢UU;\aI‘P\'Y\\-Gib-'T0'Y\6Yw\
Wt, §c1.w~a a>Cw\2Y\¢1‘m wll W» S“"""" §cA'Qe"’ I _ V
Q .
_‘€_\.aQ_pg_ am 't°F0Q£_G¢(_,,9_0U 'Y_/§¢>gv'v\¢s~rY>lM‘¢_”) Sb €J(AJ>’t4'
Bmm MA GN 01¢“) [l~:'T‘ 1» 4 k<.<-w~\'¢v(>l»Z:»»3-3 OWL $<>‘_
K [A ¢@m\.)Mi; ‘ Q\s»\‘j Hiem -iimdl ERe.q<=.-“'1, \,,¢¢,w,u_ kl» <
$‘>6\(‘_'a_ (Y\)) w.¢ “MAL Canal. |
' >2
<;0¢1~k awl BWNLQ? 50+ ~:~ Ill“) <>> MM? @*"“r*"-'~*' F1:‘ (fa. T41 1'60) f"'7X) ‘/""'“"“ IA CWOWAMMH Qi
$1: WM‘; H32» .¥@\<Jr W ““+¢@§MY\<»<M> v?-3* ‘*3? "
C<:.w\v/>~<* Mk 4‘”""\md\;n) “ML Wjf .
§~§’(\<§.-= M 12> cM‘mx »~‘~ x . wk» Cm»!-*~» W~P"'¥- %
_/’,\* I \i__ I '
‘KI-¢Ye.-~ -v%3- ;< ' ‘W31 d»QMn<.w~\.0 'n!2~;=
. ¢‘~-‘K ""9 ' "--M,"1IL,M- Qw ¢M\»w_& $.¢,,<,w Amwi x ¢Q¢<<4%a»~,x~.
\>ovwhA- I ‘ A '
W; ugnw Q-6kGL~'c'~“'\\.‘7bLLt'_S-‘<1; ;V\- A'Yv\£;§7Y1‘<. gym Ls
QQ‘,/Lai 0'wwL*bav~v\A:_¢L'. H»¢'v\0L' '\Y\|'/iv 4 C¢w\P4CJ(" ’
$9/k hi, X) --r\w<,fE b-L amok -
e"e‘1] .. 'n.R.5‘>au I/I 6k~‘rvu:J(‘\'\'c €§n=\uz>. V‘ '
,6--x 1—x » +~ ‘*‘~ "* "*~ ”’/7‘ ("r " .-
§
I-==-»~~~ - -- -»- _...» -_ .._..._._.., __/T, ,_
-1
|/ I. 6:||‘1v~ ‘mu. ‘4\.l-‘v "A T-l;\'h\ (L ') .7’) (1 ' *4" TE"“* ( "_l.6> ).
U;-4. ~F¢'»Q_()¢(1.\_>|"\/‘ya {,KQ.LW‘€\v\_ .
\//f 12;“-_=~_.-.=..__.._=-_e\h;‘<"2‘é‘)" 91? X 3/5 k O(iw~mm§1'aw»,Q
“Wm Qi~m2.ow évau) 'l,l:.,.,,\ 2¢~_@1,\ §ul=sub1?v\af Kég »
@<»~\g>a<i- iii 134 dLo<¢A @w\A
' s
55%
2
own o\im¢.Y\<:=.\'m) \1 I/> awia- Su,\=&eJ; OK. K) W Q_\}Q‘/y\d_ v~(e_4,Q mumkw
7
%mm=¢ @¢ “%wU?§ vU€v;%
‘3 e ’ .
L __» - \ -.CE-$.nV $%- (év-av. d\é(o,|) )_§° 4,4
but x; <;Qv-7,) vwl/\M_ C;_:__\____ Y
{R/-_ [("'ll':. “C.CV"(]-»)[| :v¢_.uV_v°H \ I . [[\A/'._
ll‘/—?-ll 'M!
4 \;/J¢e~<\m,Q L0,») IL/»<_ em‘/13; A _\/e(j;w we )( £_u.A» TDI
Pw 1 um C<s‘(\£C¢;{w am? vea-W vexv/' _;
@¢»¢m@ u;@m@W@ ?“
gw“ Y % “»VJ?“ ' . Nx_ X\&=wzlWH é Y
‘I .
‘ a>0 (‘\(§Yvyf\ L; mm- (»Q
\Z‘S_[A@ -—-—\ I . . _ " _ , vI‘*'> —
‘ * - Ava_iIab|e.atw_ ,
\ ?(_'_;‘°)~@"'-§-»~QF1-R;_<,__$}'s Lew“) ._ \/vvvvv.math_city.‘c_>rg
i
4. g '
Uzi \[ LVL .4. S@J¢,;5‘,ML Di’ A ~\ww~ Qcvww -s\>’o\c¢_ K
,-
wwvi@iLj
§
;.
§"‘;*’~"-\[ (LQ¢<»<)\ -um Kvww 06 (o,\) ~ J-"~€(vuC{1‘m
vi ‘“" ;’“¥5"“*"“ /Wm 2" ”* ?i~é\/ mad T/161 A
,% h%m
i!\
iE
I
i
5
1
~ a
|1
I
iI
!2
2
\ '. 4
‘O ‘
hm §iiii!‘i!2%
’.
*4
awx we 'Yew\a§- +0 gm» YT»? 1W-vitae ~V7e\/.
'Nd‘>~* lh€—11I[ ==" \\¢(v-
TEL
= ¢~l\v-
== 6-“V-‘d\|| ) e,\f\~/"'~ ‘3\=V7j.>+5\a.( I
*‘2=~-~@ 21‘
'..._..-_..,____V . .._».. .. , ‘._.._ _,____ __
Q9
‘Ga ‘T1 == <31 H Lv-7;.) ._ $3
W \l'>@~m|:<'_w¢v~~@\\\ '
Z6--A ’.
-_;_l_--'& (_="__L__>\\v-3 41 f ll V-B» ll
2 '%;;" A“Q |lv—*a4l 5 93-)
F‘unv-
<
& - ' - - '
. \.ixsq M \\'>¢"~*qllZ@ > ww .@@¢~,~>.
‘5\%~¢e. aey \J¢"#~¢$ ékmssw aw\@cb-rmz]§'UT~»-.§?¢1~¢’
:\h¢-q\\2é 3 V ~de\'/ ~T\3~@ @*“‘{L%*@4 “:0 \"""’¥-
lv~+¢'n>ll , ¢ 5
slmw‘./.1. 'l[-'f The \/ C.-7 ,;, ,\<.q,$F4¢,,_) -
<~H»¢'v\<'-¢- “V-“mu 3 a (‘Y A -= ";"~§\’uV-'U\| ‘ha 6-nwk)
¢;‘,ra
“\"~,.¢_"¢,w¢"¥l3- <¢=-\~c*"‘* ~32. \-=-1‘; % L”
i?§
K Ea A "f\1$Yfw\ Q»£v\a.ow $‘>au_ ti/no!»
TILL $W*rgAC~L 0‘? |§':('LéX: l['x.ll=1;
21> t6\rY\\7&C)£~.) mm X u $.~;,xL a..~mm<1-,~.Q;
P _= X o\ *Y\4\"m QCNLM é\>Ac¢ .\/\\eh,'Y§b-Qalt’
51/WW W5 KQU A£w\e~n%\‘¢vv~.Q. ' I
ma M/>ume TL: Ai=~\)(=<>¢>7 gui AB &sv“F¢q:t
;~ ;< lawn-4%-\~z~ W W Qwu 4:» A ¢Wa~rMu¢¢.»M
I
i
\
I
i
\
r’""*"~"'-"-~—- j i M w H r U 1_»_(..-‘4_.c)€‘.T.?l.'\\ -—- ~ -< ~.~~-.—~----_-.>--..-___ __.‘ _<.
r[AQ (T)/\o6'§»e. 'x| € F5’: hl*_Vl‘VLl 5: 4,1‘ >
{Q ‘X\_ a£'v\.u.'{Ai0S a 6v\v_ A/:*V\-0_'Y\§1\M.nQ. $\>a¢e-X,
TIL.“ X‘ (A cllosdk 'U§m hm) GM A Pmfw
H@"§¢'1_ 53 R\'Q<3”s 'Lew\m¢x.,'lZlm». i/> "J(,_é,g? suab\ ‘ .
DQ'€"“L XL: L'X\;'1,_7 7 .¢\ '(;w-9 d.4:vv~ll-’Y\¢§1‘e‘v'\4\/Q
+
e/\~e."f<>~*e.d~ BU *=~(\,a§,_ \X~ 6"‘ $0 XL U; _¢\ |>i}oI>¢,¢
\\°<:—'><\\Z ‘/1.. - ( — I
\'Y\ ’{7aWJC(C-v-Q.a»/ ) lg '>(=D(‘ )" UZM “X2 ___x‘ 3'av“; 1:11; U‘-:W* u‘xs-DuL“?"/ 2_~ '
P-»c@[email protected] an wLW.i¢m, _W~& %<>1>A+a.;. 65
A<=»U~»»M {mg »>» A ,§w~ IIMIll'><m_v<n\\z \/L Qm+»~§_
éA)V\‘6‘_‘u"QU ('3!-mg C&IY\'Y\o+ \f\A'\/Q élk WMQ l
U3” 1B‘“¢k'¢ C6Y\9cTu...aLCC>U§ U:/1» 4<>\~\\>avci'v\n»9a S’
Q-,gM>s cmgvmd mg; eveqa /$€.r>Vw1-oL ~¢~,s’ Gmverwz/A to ¢,>;;.i3_=.§)
- \-\e~\c.o_ aw $0-P‘>a$§‘¢<‘<sv\ W X‘-"-'-“ °°_ ‘ML/e ~?~<l§¢)
I CL'V¥J\ A‘)
v * N,» ‘hi?
i
1
I
i1
C'Q5§¢-J‘ €WL49‘F6LC'.0__ , /\'a~\:~ La Rie5’S L€.'rwnr\¢:.)
h £'X“,g' LC 0~ C;"Y\VCTal-i )(,¢1"..¢,,,,¢g|
5
.
Wm u dnn »<3¢4 ;4-.»» M 1% w 1éx,mwW-;,;
E
i
E
II
_-A....
‘ .1
'§55;§v
cc J
‘-. -'\
TR-P-6YQ\*~n Q \-374-23 <5Y\ & 0L\"vv\ev\<>\‘</Ym/Q 'v\¢v~.-n Mm”
Svcwu ) c’Jw\~d \ q*\<s~rw\/s a.§m>_ ;.
\’>'=¥-@ mvwga M wum, U0~Q_ I %
IQ. lemma. ' ' J b J
'53: £°<\wc\.1‘“)'><§\1 Ba ax .Q\'Y\QA:‘(0-n“W\o\.Q.|?ev§=\¢,,\x
Ali Q» “Q-Q-$\>a02. 7111»-. 'U/Tw=- ‘Q-Xlis ck
c.7c~ sum)/~» Lt» $€—<:v e.o\cJv~ /gCA'Q‘¢.Y! o<,,¢,(,)___...)-,,('“j
,\\ >¢£<>a\”% *. V i
r-My
/§'~Po
I4(‘A
:1‘--'
\
r“-r.11
,.....
NM M Pam U5. 'TQ¢U(&C'~n2A &-wmox.
u'):'{'><\,¢<..,_---,-><v,] ~><< A \'_~M<>»;,, ;<. -
33; mé) So I): CM \.»¢ e.x\vY;e;u>ul_g.»s,
‘X: f'>(;"i'.6’_|_'x1.'"’t'-_--K---'(~_?:')(v\.-1%‘-"i:')(,‘.
LsS‘\~wm (t. gm: §C.&»Q@JT$- ‘
[bk \\-J“, aw\ “L ‘=0. 'l:wu 'Y\¢Ywvs' .4Qg<'vu~.¢=\
I 15.6 ~\,<,~v¢ Qcwmm ., WW0 exclh @\
Qyc $\,;cL\ W 1 .-
o4\~°\
.¢'».V”
gqlgwpueuew5\-‘.519!/\l
310-maanw
r
I“ Y\
\\*l\1=5 ?;\Tc°‘*“\ 7? Q i‘
&\\><\\,_ --= \\ ‘i'*<\\L€ . ‘fa -X’: LL [(2-‘\TYl»l!$'4|l+\|1Jl3 ‘
Cs‘ . . . J
§~+@ \\-“L ~>» @~ --+*\ 4“><> ‘O
1
'v\ 9* »:“*2 2 1. ’ ll 4-./1‘??? , 0 .
-(=4 ‘-5 Q? 1/ V!) . _ (1
‘.5: K i‘ ','~_-\_ if V..— -.
Q-
‘.4
K‘\
* I
as-<~ MAI
. y ~ .
/~ M H=<-IL,f
"'5 UMP <1 $.21 .° -Q-"XL 5 K £\
=> 'N\'“'>(HL 1: Q. 7
f‘.-
=7 -~u-uL €= u»<u. L__7®
' w~& :
llwll. e M\l"><iI,; N11“ w\>¢_
cM~\>;W;“3 @ My @) M aw,
'~\\\Ȣll,_ Q Ml. s M\[%lI,_ mum
\..»‘*"V — —
SI!<>a' C/1<
» - fr-= I/Ya//,_' =
.151! >-
0
r -~ - - '-*'“"'*-"""'=‘=—<w—_ .. W _ __?_%W__W__1_V_____'I__,
. ~
v--wa
2 70I' ' ' .‘”»"'--s,--\.,
v 1
1
- (. 7,‘ g
. C -
5-Q_ we w¢l:@r¢/l\@\~»aa UR, ."r¢JZ¢L L"£ awt ”."L
adc ’/‘ -
3.
M '79) '1'l'\?¢ _.
_\~\~*~\¢- \\-1h MA ll-H1. Me. e_¢uu.urq.Q@.,,j>.%
~ i
1
i.
2.
i
I1
a
1
i
.
' i2
“J?
-€<»Q§lawi~r\a L\.kQl:'tq if kl‘./‘V é
,1,=».:bz\Zru\. ~ »
' N6” -5? \<e@,\) J d_QE(‘y\Q \E(3¢)
iw = KU=—\) - 43+‘.
"\_ wlw/> wg 4;.". MHL have og‘\Z(-{;) -_> \<Q%:-1) ._'-=,K-+1 V
;‘;T_ Id? “Hg $ \<‘(I-I-(I-K)
~ "*\-»-~ =-N E
We Eosc‘c\‘4v\ C_\'33~) 1 2;? \<[><~¢ ’ AF. +_§(7 51‘ “oQci ‘ . -i“V ‘ewe. e»v Cn\\u_a@Cte. Cw '$1'w\PQU Qv,d,,_O_,u{3,_)
each“ cal“ > WW Q7/°> “,’Z?> Ill‘/a_.+l~_.770V
Q‘-=0 4‘! bso ) P'{oPo>§L"H-rY\_ 1'4 ¢JI@_¢~¢J1U Q
wa o.Mc.wwz_ Vie. Qua usknm lwi Q>o, 137,,
32w ’cz\ by
<ȴȨ
POMH
i
I
a
-
Nata mi "$03; O @W\o\ QKQE
3
4
\
I
i
i
\
i
i
i
.--, |
@\ Z k\ ) {KP4/v\ "\\\¢-1 \( *3 Q-Q l
$4: -UI~I. ® -
a V -1A _"_ V
L::5"‘~= 'F@'?>+<'"*%>
A AVP. “‘/P '1 a ;. 1 1 » 3
:3’? UL -la 1’: F ~+ -£17 -E-"'Q ='§7'!,i=-1-5;)
=-*1 ¢?:P~ bx" é L +-5_ . YZ
\/P "\/f>
I
~ _F' 1/
Nm L% ¢\< in 7 111“ 9% .-t=\b>/K \<=
- $0 ULI ® b@C‘VV\~2/SI
’C;jT3\/aUV‘5‘~ "1;/_"%['V+<‘"\/\)) - ,',». 7,‘
‘=15.
-_
-
P-
V V ~
‘=5, ap-BM 5 *-
b‘V .-_ _._..y L‘__ .
% @Q’~_ 1; +q'I|=»‘, H4“)!L.'v_ Q/‘\Iz__ .-539 +-‘5f;- an a)
4-
-99
+<\"'
w
wk/Q>l,.“ Cm\p@nJ@%
> ‘4/
""""' ' “""'“ * ¢ __ __
\
\
I0
I
1' ,
\/'*‘_\*/*'\ i " ‘ * *
,_‘ \.»’ I
1
=
x
I
I Available atwww.mathcity.org
_ ¢." /
¢- ¢.ep\uLmn4¢ ~ > =5
iL
:
5:
Fl
. 1"r.
..»
ck ~01""""“'~" '-'—-->— —-~~: T 7 ' 7 Y 1 2 __ ._.__»:~=:: . ' ; _ _ — T____;..._.-:;,__._,,____ _ _,.__
" €l';5(-\§ l'nc-..|UL§z1V.7Q\"Qg : - . @ i
I .. 1
i
Gnrxi X:-" C7(l)'X1.7 ----J '}{y\') 7 V ‘
%=Q“6\'1‘(§1)"">‘f)'~) 3 u’_""" . ~
I 4
Xiix $ )"5I"°~'YK -I; -"-
TM’
4.é,_
I7P
\>"6a»o£: we. \-mm/u ll/\.<_I ->1;-2 (_i,h?.x‘)__’_2_X“') .
___* _ , -,
\d=C\o‘7“d*v'"'>\()v\) - '
vx y wn \
W1‘, .-. Q%\:'>¢@\‘5)" M; \\n\\,V -.= (2; \a¢~\'“ Y” é ~
43$ 13° ‘N 2: ° 7 -W” "“’“»”—’\l"*‘*-0-*"(']'
um 0./£'SLl1w\.0_, vac)?’ we \.=,,.mJ- ,*,-\¢AM_._3¢,, )’f_,M_§
_a/{<Su\,~v\e W '- 2 .i' :
' 1
\'>¢c\ 7" Mil _'V \
Q“ "<“\|-»i:,»\ » *>~== <Tn1||q,'> -+1-»@ 5
UL» \=-U P'XbPo%1"H6Y\ Q!.~‘E>$> N ,\MW_:
V1] Q. 1 -
Q‘ -B; §__ .._-L -4- _-i- - 1h \, ,V ---=,@Mg“ \°<~*"o@l ,_____\_°_gL__}lr1~‘I
u-»Lm>\m\\»-V . “ W *"W’v?
‘/P Y ¢
' = (Kc . ‘Dav U7) (D1
£'~_%;--\-%£}- Y_1=‘q(i->:(_
\ A P *
F*'T~o
?
g .. '~_= — .‘__-r,;_:**;"r“r.~'-: —— --~———
F -.
f \b=\l¢\lk1\l~V "A ‘* %
9 1
i‘J--Q-IQ‘-"--‘ I
“J
i w7%K ~ %q,¢1;, sa4 Thut L'<Iv\ v£ \><>l§Iv éiiu;
,.
I'M='
W
Xcacl
ll°“Ue\\‘0u°\4' .
l\
,_@
"""'F"—w-"*1“-i
I";
L“-
i
TI/KM an Uwve 'Ye.c’_»£QP
-M’
1)?"fl
+~M5
Q
. 'V p
“%@M EL M“ '
lmv_._.¢---— "
\Q>.r9J---W-_-*__ W *\
@*; ‘ f . \""\__ F‘ V; cl . “ll A
Fe lE1§£L__;.:§ <‘Fmr U Ik (:}“>
@%Y+%(%YiP H
Hung &% I
(23) we. \'\A\|~£2
2: ._’______ 5 \\°*"|> U‘
2
-a
-¢
0-— __l._-.._}_.
A Cd-Jvevi)
:27 \’>(€ Z)C'\ Z; “'3¢\1q> 1: @(‘>°'1>"’7°‘*h)»
at‘ ' B QT} ‘L - ,1“)
ugwgl, @.M\=l>Q@¢_:tu> W
RQ~m_Mi<__:_ wk?»
\\‘<|\\-v
\\~»<\\,, \\u 1&1, ~ F + Q
1 I
LT \j‘a) ,.__.
W \>=~V-_=>.5 w'g"'kmvk_'
i'P’T>
<25
r~
5
_“MuHnm.,wwA.u aAw@A
“LL CA}-Cl~~d“$
9&5; ' ‘ 1
, ..
‘PC
1/ 1
s ( % "“‘@‘ '
z
\>+~v |
11 .
E
‘Ava.ab8atA
mmwwxnauuaaw0¥~?
an
mg, _ ?_ cv\~<>\- ~ - ——» — In-Iv-¢ --- I . _v,_._,_.__ ___.. __.,.|_-i - ‘_;_”n‘,_,,-_-;_—.:_ ~_-1_~:‘__ __;5¢ — ___;__\____ » :______..___ V V, _A_A__~,_.A
\. w
%ME!%%§;§§’@0¥2*M»
MergingBN2;andmaths]
‘\
r
}
' .R ml
f‘(1.3-S‘) Mi-n_Kr-|.u.§\-<f’s Iw\éH_|_;-',;_0_,{{'-a_:‘.1; _( ;r:—~— ~ --'(-"'(—.~"'<_:
/
g qé§>_4¢>a/ Qr~r\aL ‘K: Q'x\'>'>4\7-~—-;'>¢v\‘)) 4
3= 01-»a»>-----,3“) , 11$» \\'1+a\\|, .e Il-¢l%h=?+lh1ll;~-
3. {SW Pa‘ 1'/5 .'(;-1’q‘¢,(~dQL
go we a,£€wwu_ W \<P4<>o.
M W °<-W = ("""*?1'>'*1*T1#v-~-'->"‘*~*‘d»~)I
. “rX+_a“P % \'>(;—v‘c\l’>\/f” '.'
5° \\*<+a U: =
..M,
4
.-
\
5 (\'=<@\+la:|) I'»<-+1-\*‘.,[=
‘---
,-.M3
<3
..-
'><c~-vag \F
\‘>‘@'+z1'¢\\*><~‘+?<1:lH.¢’ !
‘P ~ ~_ v
2 ‘-“X4-'\‘d<~\ + ‘Z W'~‘b(v-‘+‘a¢PI
1
- {r “'XH(IA“'X’+-d":"|_‘_ “'1-\-AU”?-I
61. u.,L+.du: S Q\\'>¢\\P-\-§[u|\,>') l)"><+7;u;~' .‘
= Qi?<llP+\lu\l,>) [Ix+U\[P"A
(En ¢\>vQ@*¥; Hob!” M;-U¢~=.Q;+,U)
.
% ,_.
L\\»¢+~@\\‘,i“"%; \1»@\\¢+rm\,, L*><"~‘@‘.~'*s’ ‘*6 “"“°“')U
\\'><+‘oU¢ 5 \l>kilP+1[nllP %
M {KL aV>"““iA {V\1‘v~\<<>\»o/'S%'\C‘§\/‘v~ u4Q_,:{;
F' .i.¢)
iX
\
\
l
I
a
II
i
I
‘v
i.
.
1