Binary Symmetric Book 4

7/30/2019 Binary Symmetric Book 4

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For My Parents,


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Binary

SymmetricBook

Dr.Eng.HalisAYDEMR


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BBBBinarySSSSymmetricBBBBook

ISBN: 978-1-84728-904-9

Published by LuLu

www.Lulu.com

All rights reserved. No part of this publication may be reproduced,stored in a retrieval system, or transmitted in any form or by any means,

electronic, mechanical, photocopying, recording or otherwise, withoutwritten permission from the author.

www.symmetricbook.com_________________________________________________

Author /Dr. Eng. Halis AYDEMRHendese Limited Company

Uluyol Altnhan kat:1 no: 17/A

Osmangazi/Bursa 16220

Turkey

+90 224 2523413

+90 224 2720186


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Contents

IndexoftheHolyQurnIndexoftheHolyQurnIndexoftheHolyQurnIndexoftheHolyQurn ..................................................... 19

BackwardssequencenumbersandnumberofversesoftheBackwardssequencenumbersandnumberofversesoftheBackwardssequencenumbersandnumberofversesoftheBackwardssequencenumbersandnumberofversesofthe

surahssurahssurahssurahsingroupsof19ingroupsof19ingroupsof19ingroupsof19 .......................................................... 22

Sumofthedifferencesbetweenthebackwardssequence

numbersandthenumberofversesofthefirst19surahs. 22


numbersandthenumberofversesofthesecond19surahs

.......................................................................................... 23


numbersandthenumberofversesofthethird19surahs24


numbersandthenumberofversesofthefourth19surahs

.......................................................................................... 25


numbersandthenumberofversesofthefifth19surahs. 26


numbersandthenumberofversesofthesixth19surahs26

Surahsinthefirstgroupof19ofwhichtheabsolutevalue

ofthedifferencesbetweenthebackwardssequence

numbersandthenumberofversesareprimeandnon-

primenumbers.................................................................. 30


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Surahsinthesecondgroupof19ofwhichtheabsolute

valueofthedifferencesbetweenthebackwardssequence


primenumbers.................................................................. 31Surahsinthethirdgroupof19ofwhichtheabsolutevalue



primenumbers.................................................................. 32

Surahsinthefourthgroupof19ofwhichtheabsolute

valueofthedifferencesbetweenthebackwardssequence


primenumbers.................................................................. 33

Surahsinthefifthgroupof19ofwhichtheabsolutevalue



primenumbers.................................................................. 34

Surahsinthesixthgroupof19ofwhichtheabsolutevalue



primenumbers.................................................................. 35

(57)&(57)SymmetricSurahs(57)&(57)SymmetricSurahs(57)&(57)SymmetricSurahs(57)&(57)SymmetricSurahs ............................................. 42

Sumofthenumberofversesofthesymmetricsurahs..... 44

Symmetricsurahsofwhichthesumofthenumberof

versesisodd...................................................................... 46


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versesiseven..................................................................... 47


versesisnotrepeating....................................................... 48


versesisrepeating............................................................. 50


versesisanoddnumberandtheinitialsequencenumberis

oddandthesecondsequencenumberiseven.................. 53


versesisanoddnumberandtheinitialsequencenumberis

evenandthesecondsequencenumberisodd.................. 54


versesisnotrepeatingandtheinitialsequencenumberis

oddandthesecondsequencenumberiseven.................. 55


versesisnotrepeatingandtheinitialsequencenumberis

evenandthesecondsequencenumberisodd.................. 56

Symmetricsurahsofwhichthesumofthenumberofversesisanevennumberandtheinitialsequencenumber

isoddandthesecondsequencenumberiseven.............. 60


versesisanevennumberandtheinitialsequencenumber

isevenandthesecondsequencenumberisodd.............. 60


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versesisrepeatingandtheinitialsequencenumberisodd

andthesecondsequencenumberiseven......................... 61

Symmetricsurahsofwhichthesumofthenumberofversesisrepeatingandtheinitialsequencenumberiseven

andthesecondsequencenumberisodd.......................... 62

Commonsurahsinthesetofsymmetricsurahsofwhich

thesumofthenumberofversesisodd,andthesetof

symmetricsurahsofwhichthesumofthenumberofverses

isrepeating........................................................................ 68


thesumofthenumberofversesiseven,andthesetof


isnotrepeating................................................................. 69

Uncommonsurahsofthesetofsymmetricsurahsofwhich

thesumofthenumberofversesisoddwiththesetof


isrepeating........................................................................ 72


thesumofthenumberofversesisnotrepeatingwiththe

setofsymmetricsurahsofwhichthesumofthenumberof

versesiseven..................................................................... 73


thesumofthenumberofversesisevenwiththesetof


isnotrepeating................................................................. 76


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thesumofthenumberofversesisrepeatingwiththeset

ofsymmetricsurahsofwhichthesumofthenumberof

versesisodd...................................................................... 77Commonsurahsinthesetofsymmetricsurahsofwhich

thesumofthenumberofversesisodd,andthesetof


isnotrepeating................................................................. 82


thesumofthenumberofversesiseven,andthesetof


isrepeating........................................................................ 83


thesumofthenumberofversesisoddwiththesetof


isnotrepeating................................................................. 84


thesumofthenumberofversesisnotrepeatingwiththe

setofsymmetricsurahsofwhichthesumofthenumberof

versesisodd...................................................................... 86


thesumofthenumberofversesisevenwiththesetof


isrepeating........................................................................ 88


thesumofthenumberofversesisrepeatingwiththesetof


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iseven............................................................................... 89

UncommonsurahsofX1withY1(X1Y1)................... 94

UncommonsurahsofY1withX1(Y1X1)................... 95

UncommonsurahsofX3withY3(X3Y3)................... 97

UncommonsurahsofY3withX3(Y3X3)................... 97

CommonsurahsinX1andY3(X1Y3)....................... 100

CommonsurahsinY1andX3(Y1X3)....................... 100

UncommonsurahsofX2withY2(X2Y2)................. 103

UncommonsurahsofY2withX2(Y2X2)................. 103

UncommonsurahsofX4withY4(X4Y4)................. 106

UncommonsurahsofY4withX4(Y4X4)................. 106

CommonsurahsinX2andY4(X2Y4)....................... 109

CommonsurahsinY2andX4(Y2X4)....................... 109


versesisaprimenumber................................................ 112

Symmetricsurahsofwhichthedifferencesofthenumber

ofversesisaprimenumber............................................ 113


ofversesisapositiveinteger.......................................... 117


ofversesisanegativeinteger......................................... 117


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Contents

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Examiningthe(57)&(57)SymmetricExaminingthe(57)&(57)SymmetricExaminingthe(57)&(57)SymmetricExaminingthe(57)&(57)Symmetricsurahssurahssurahssurahsingroupsof19ingroupsof19ingroupsof19ingroupsof19............................................................................................ 122

Symmetricsurahsofwhichthenumberoftheversesis

odd-oddinthefirstgroupof19...................................... 122


odd-oddinthesecondgroupof19................................. 123


odd-oddinthethirdgroupof19 .................................... 124


even-eveninthefirstgroupof19................................... 127

Symmetricsurahsofwhichthenumberoftheversesiseven-eveninthesecondgroupof19 .............................. 128


even-eveninthethirdgroupof19.................................. 128


odd-eveninthefirstgroupof19..................................... 131


odd-eveninthesecondgroupof19................................ 132


odd-eveninthethirdgroupof19................................... 133


even-oddinthefirstgroupof19..................................... 136


even-oddinthesecondgroupof19................................ 137


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even-oddinthethirdgroupof19................................... 138

Symmetricsurahsinthefirstgroupof19ofwhichtheir

numberofversesarehomogenous................................. 142

Symmetricsurahsinthesecondgroupof19ofwhichtheir


Symmetricsurahsinthethirdgroupof19ofwhichtheir


Symmetricsurahsinthefirstgroupof19ofwhichtheir

numberofversesarenon-homogenous.......................... 148

Symmetricsurahsinthesecondgroupof19ofwhichtheirnumberofversesarenon-homogenous.......................... 149

Symmetricsurahsinthethirdgroupof19ofwhichtheir

numberofversesarenon-homogenous.......................... 150

(38)&(38)&(38)SymmetricSurahs(38)&(38)&(38)SymmetricSurahs(38)&(38)&(38)SymmetricSurahs(38)&(38)&(38)SymmetricSurahs................................ 158

Homogenoussurahsamongthe(38)&(38)&(38)

symmetricsurahs............................................................ 160

Non-homogenoussurahsamongthe(38)&(38)&(38)symmetricsurahs............................................................ 162

Symmetricsurahsofwhichthenumberofversesiseither

OOOorOOE................................................................. 166


EEEorEEO................................................................... 167


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OEEorOEO.................................................................. 169


EOOorEOE.................................................................. 170

SymmetricsurahsofwhichthenumberofversesisOOO

........................................................................................ 174

SymmetricsurahsofwhichthenumberofversesisOOE

........................................................................................ 175

SymmetricsurahsofwhichthenumberofversesisEEE

........................................................................................ 176

SymmetricsurahsofwhichthenumberofversesisEEO

........................................................................................ 178

SymmetricsurahsofwhichthenumberofversesisOEE

........................................................................................ 179

SymmetricsurahsofwhichthenumberofversesisOEO

........................................................................................ 181

SymmetricsurahsofwhichthenumberofversesisEOO

........................................................................................ 182

SymmetricsurahsofwhichthenumberofversesisEOE

........................................................................................ 184

(38)&(38)&(38)Symmetricsurahsincludedinthefirst

partwithnumberofversesisOOO................................ 188

(38)&(38)&(38)Symmetricsurahsincludedinthe

secondpartwithnumberofversesisOOO.................... 189


partwithnumberofversesisOOE................................ 190


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secondpartwithnumberofversesisOOE.................... 191


partwithnumberofversesisEEE................................. 192


secondpartwithnumberofversesisEEE..................... 193


partwithnumberofversesisEEO................................. 194


secondpartwithnumberofversesisEEO..................... 194

(38)&(38)&(38)SymmetricsurahsincludedinthefirstpartwithnumberofversesisOEE................................. 195


secondpartwithnumberofversesisOEE..................... 196


partwithnumberofversesisOEO................................ 197


secondpartwithnumberofversesisOEO.................... 198


partwithnumberofversesisEOO................................ 199


secondpartwithnumberofversesisEOO.................... 200


partwithnumberofversesisEOE................................. 201


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secondpartwithnumberofversesisEOE..................... 202


partwithnumberofversesisOOOorOOE.................. 206


secondpartwithnumberofversesisOOOorOOE...... 207


partwithnumberofversesisEEEorEEO.................... 208


secondpartwithnumberofversesisEEEorEEO ....... 209

(38)&(38)&(38)SymmetricsurahsincludedinthefirstpartwithnumberofversesisOEEorOEO................... 210


secondpartwithnumberofversesisOEEorOEO....... 210


partwithnumberofversesisEOOorEOE................... 211


secondpartwithnumberofversesisEOOorEOE....... 212

(38)&(38)&(38)Symmetricandhomogenoussurahs

includedinthefirstpart ................................................. 216

(38)&(38)&(38)Symmetricandhomogenoussurahs

includedinthesecondpart............................................. 217

(38)&(38)&(38)Symmetricandnon-homogenous

surahsincludedinthefirstpart...................................... 218


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(38)&(38)&(38)Symmetricandnon-homogenous

surahsincludedinthesecondpart................................. 219

(19)&(19)&(19)&(19)&(19)&(19)SymmetricSurahs(19)&(19)&(19)&(19)&(19)&(19)SymmetricSurahs(19)&(19)&(19)&(19)&(19)&(19)SymmetricSurahs(19)&(19)&(19)&(19)&(19)&(19)SymmetricSurahs............................................................................................ 225

Homogenoussurahsamongthesymmetricsurahs

containedinthefirst9lines............................................ 239

Homogenoussurahsamongthesymmentricsurahs

containedinthelast9lines............................................. 239

Non-homogenoussurahsamongthesymmetricsurahs

containedinthefirst9lines............................................ 239

Non-homogenoussurahsamongthesymmentricsurahscontainedinthelast9lines............................................. 240


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IndexofIndexofIndexofIndexofttttheHolyheHolyheHolyheHolyQurnQurnQurnQurn

IntheindexoftheHolyQurneachsurah(chapter)is

definedwithtwonumbers.Oneofthemis the sequencenumberwhichshows theplaceofthesurahintheserialization.Theotherone is the number which specifies the number of verses (ayats)containedinthesurah.1

Example:

1 Al-Ftia 7

There are 114 surahs included in the Holy Qurn.Consequently there are 114 sequence numbers and 114 ayatnumbers which correspond to such sequence numbers in theindex:

No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat XX No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat

1 Al-Ftia 7 58 Al-Mujdalah 222 Al-Baqarah 286 59 Al-ashr 243 lImrn 200 60 Al-Mumtainah 134 Al-Nis 176 61 Al-aff 145 Al-Midah 120 62 Al-Jumuah 116 Al-Enm 165 63 Al-Munfiqn 117 Al-Arf 206 64 Al-Taghbun 188 Al-Anfl 75 65 Al-alq 129 Al-Tawbah 129 66 Al-Tarm 12

1 Hereby,itshallbehelpfultoremindthat:Thereareprintingpresserrorsavailablein

pointof thenumbersofayatin someof theindexesoftheHolyQur'n.Ourreaderswhoshallwishto verifytheapproachesthatwehavegivenin thisbook shouldbeforeallelse reviewandemendate their indexeswhich theyare using with regard to thenumberofayatsofwhicharecontainedinthesurahs.

Thenumber

ofayatsThesequence

number

Thenameofthe

chapter(surah)


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10 Ynus 109 67 Al-Mulk 3011 Hd 123 68 Al-Qalam 5212 Ysuf 111 69 Al-qqah 5213 Al-Rad 43 70 Al-Marij 4414 Ibrhm 52 71 N 2815 Al-ijr 99 72 Al-Jinn 2816 Al-Nal 128 73 Al-Muzzammil 2017 Al-Isr 111 74 Al-Muddaththir 5618 Al-Kahf 110 75 Al-Qiymah 4019 Maryam 98 76 Al-Insn 3120 h 135 77 Al-Mursalt 5021 Al-Anbiy 112 78 Al-Naba 4022 Al-ajj 78 79 Al-Nzit 4623 Al-Muminn 118 80 Abasa 4224 Al-Nr 64 81 Al-Takwr 2925 Al-Furqn 77 82 Al-Infir 1926 Al-Shuar 227 83 Al-Muaffifn 3627 Al-Naml 93 84 Al-Inshiqq 2528 Al-Qaa 88 85 Al-Burj 2229 Al-Ankabt 69 86 Al-riq 1730 Al-Rm 60 87 Al-Al 1931 Luqmn 34 88 Al-Ghshiyah 2632 Al-Sajdah 30 89 Al-Fajr 3033 Al-Azb 73 90 Al-Balad 2034 Saba 54 91 Al-Shams 1535 Fir 45 92 Al-Layl 2136 Ysn 83 93 Al-ua 11

37 Al-afft 182 94 Al-Inshir 838 d 88 95 Al-Tn 839 Al-Zumar 75 96 Al-Alaq 1940 Al-Mumin 85 97 Al-Qadr 541 Fuilat 54 98 Al-Bayyinah 842 Al-Shr 53 99 Al-Zilzl 843 Al-Zukhruf 89 100 Al-diyt 1144 Al-Dukhn 59 101 Al-Qriah 1145 Al-Jthiyah 37 102 Al-Takthur 846 Al-Aqf 35 103 Al-Asr 3


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IndexoftheHolyQur'an

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47 Muammad 38 104 Al-Humaza 948 Al-Fat 29 105 Al-Fl 549 Al-ujurt 18 106 Quraysh 450 Qf 45 107 Al-Mn 751 Al-Dhriyt 60 108 Al-Kawthar 352 Al-r 49 109 Al-Kfirn 653 Al-Najm 62 110 Al-Nar 354 Al-Qamar 55 111 Tabbat 555 Al-Ramn 78 112 Al-Ikhl 456 Al-Wqiah 96 113 Al-Falaq 557 Al-add 29 114 Al-Ns 6

List-1As it is seen the ayat numbers of the surahs exhibit an

extraordinary appearance. It is not possible to understandintuitivelythatthereis aconnectionbetween thematfirst sight.

Forwhy they are in an arrangement which is as dispersed aspossible.

Thisbookanalysestheserializationofthesurahsandthenumbers of ayats which are included in the Holy Qurn bynumericmethods.Hence,thelisthereinabovewillbesubjecttodifferentmathematicalapproachesineachsectionofthisstudy.


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BackwardssequencenumbersandnumberofversesBackwardssequencenumbersandnumberofversesBackwardssequencenumbersandnumberofversesBackwardssequencenumbersandnumberofversesoftheoftheoftheofthesurahssurahssurahssurahsingroupsof19ingroupsof19ingroupsof19ingroupsof191

In this section, we will discuss the backwardssequencenumbersandthenumberofversesofthesurahsin

theHolyKoraningroupsof19.

SumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesofthefirst19numbersandthenumberofversesofthefirst19numbersandthenumberofversesofthefirst19numbersandthenumberofversesofthefirst19surahssurahssurahssurahs

B. No. Surah Ayat Difference

114 Al-Ftia 7 107113 Al-Baqarah 286 -173112 l Imrn 200 -88111 Al-Nis 176 -65110 Al-Midah 120 -10109 Al-Enm 165 -56108 Al-Arf 206 -98107 Al-Anfl 75 32106 Al-Tawbah 129 -23105 Ynus 109 -4

104 Hd 123 -19103 Ysuf 111 -8102 Al-Rad 43 59101 Ibrhm 52 49100 Al-ijr 99 199 Al-Nal 128 -2998 Al-Isr 111 -13

1 No repetition that may have the same purport with the results set forth during counting

forwards, will be provided for the analysis conducted with counting backwards from

the last surah.


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Backwardssequencenumbersandnumberofversesofthesurahsingroupsof19

23

97 Al-Kahf 110 -1396 Maryam 98 -2

Total -353

353isanoddnumber.353isaprimenumber.

SumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequencenumbersandthenumbersandthenumbersandthenumbersandthenumberofversesofthenumberofversesofthenumberofversesofthenumberofversesofthesecondsecondsecondsecond19191919surahssurahssurahssurahs


95 h 135 -4094 Al-Anbiy 112 -1893 Al-ajj 78 1592 Al-Muminn 118 -2691 Al-Nr 64 2790 Al-Furqn 77 1389 Al-Shuar 227 -13888 Al-Naml 93 -587 Al-Qaa 88 -186 Al-Ankabt 69 17

85 Al-Rm 60 2584 Luqmn 34 5083 Al-Sajdah 30 5382 Al-Azb 73 981 Saba 54 2780 Fir 45 3579 Ysn 83 -478 Al-afft 182 -10477 d 88 -11

Total -76


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76isanevennumber.

76isnotaprimenumber.

SumofthediffeSumofthediffeSumofthediffeSumofthedifferencesbetweenthebackwardssequencerencesbetweenthebackwardssequencerencesbetweenthebackwardssequencerencesbetweenthebackwardssequencenumbersandthenumberofversesofthenumbersandthenumberofversesofthenumbersandthenumberofversesofthenumbersandthenumberofversesofthethirdthirdthirdthird19191919surahssurahssurahssurahs


76 Al-Zumar 75 175 Al-Mumin 85 -1074 Fuilat 54 2073 Al-Shr 53 20

72 Al-Zukhruf 89 -1771 Al-Dukhn 59 1270 Al-Jthiyah 37 3369 Al-Aqf 35 3468 Muammad 38 3067 Al-Fat 29 3866 Al-ujurt 18 4865 Qf 45 2064 Al-Dhriyt 60 463 Al-r 49 1462 Al-Najm 62 061 Al-Qamar 55 660 Al-Ramn 78 -1859 Al-Wqiah 96 -3758 Al-add 29 29

Total 227

227isanoddnumber.

227isaprimenumber.


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SumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesofthenumbersandthenumberofversesofthenumbersandthenumberofversesofthenumbersandthenumberofversesofthefourthfourthfourthfourth19191919

surahssurahssurahssurahs


57 Al-Mujdalah 22 3556 Al-ashr 24 3255 Al-Mumtainah 13 4254 Al-aff 14 4053 Al-Jumuah 11 4252 Al-Munfiqn 11 4151 Al-Taghbun 18 3350 Al-alq 12 3849 Al-Tarm 12 3748 Al-Mulk 30 1847 Al-Qalam 52 -546 Al-qqah 52 -645 Al-Marij 44 144 N 28 1643 Al-Jinn 28 1542 Al-Muzzammil 20 2241 Al-Muddaththir 56 -15

40 Al-Qiymah 40 039 Al-Insn 31 8Total 394

394isanevennumber.



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SumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesofthenumbersandthenumberofversesofthenumbersandthenumberofversesofthenumbersandthenumberofversesofthefifthfifthfifthfifth19191919surahssurahssurahssurahs

B. No. Surah Ayat Difference38 Al-Mursalt 50 -1237 Al-Naba 40 -336 Al-Nzit 46 -1035 Abasa 42 -734 Al-Takwr 29 533 Al-Infir 19 1432 Al-Muaffifn 36 -431 Al-Inshiqq 25 630 Al-Burj 22 8

29 Al-riq 17 1228 Al-Al 19 927 Al-Ghshiyah 26 126 Al-Fajr 30 -425 Al-Balad 20 524 Al-Shams 15 923 Leyl 21 222 Al-ua 11 1121 Al-Inshir 8 1320 Al-Tn 8 12

Total 67

67isanoddnumber.

67isaprimenumber.

SumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequenceSumofthedifferencesbetweenthebackwardssequencenumbersandthenumbernumbersandthenumbernumbersandthenumbernumbersandthenumberofversesoftheofversesoftheofversesoftheofversesofthesixthsixthsixthsixth19191919surahssurahssurahssurahs



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19 Al-Alaq 19 018 Al-Qadr 5 1317 Al-Bayyinah 8 9

16 Al-Zilzl 8 815 Al-diyt 11 414 Al-Qriah 11 313 Al-Takthur 8 512 Al-Asr 3 911 Al-Humaza 9 210 Al-Fl 5 59 Quraysh 4 58 Al-Mn 7 17 Al-Kawthar 3 46 Al-Kfirn 6 0

5 Al-Nar 3 24 Tabbat 5 -13 Al-Ikhl 4 -12 Al-Falaq 5 -31 Al-Ns 6 -5

Total 60

60isanevennumber.


Letsseetheresultswhichoutcomecollectively:


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114 A l - F t i a 7113 A l - B a q a r a h 286112 l I m r n 200111 A l - N i s 176110 A l - M i d a h 120109 A l - E n m 165108 A l - A r f 206107 A l - A n f l 75106 A l - T a w b a h 129105 Y n u s 109104 H d 123103 Y s u f 111

102 A l - R a d 43101 I b r h m 52100 A l - i j r 9999 A l - N a l 12898 A l - I s r 11197 A l - K a h f 11096 M a r y a m 98

95 h 13594 A l - A n b i y 11293 A l - a j j 7892 A l - M u m i n n 11891 A l - N r 6490 A l - F u r q n 7789 A l - S h u a r 22788 A l - N a m l 9387 A l - Q a a 8886 A l - A n k a b t 6985 A l - R m 6084 L u q m n 3483 A l - S a j d a h 3082 A l - A z b 7381 S a b a 5480 F i r 4579 Y s n 8378 A l - a f f t 18277 d 88

76 A l - Z u m a r 7575 A l - M u m i n 8574 F u i l a t 5473 A l - S h r 5372 A l - Z u k h r u f 8971 A l - D u k h n 5970 A l - J t h i y a h 3769 A l - A q f 3568 M u a m m a d 3867 A l - F a t 29

66 A l - u j u r t 1865 Q f 4564 A l - D h r i y t 6063 A l - r 4962 A l - N a j m 6261 A l - Q a m a r 5560 A l - R a m n 7859 A l - W q i a h 9658 A l - a d d 29

57 A l - M u j d a l a h 2256 A l - a s h r 2455 A l - M u m t a i n a h 1354 A l - a f f 1453 A l - J u m u a h 1152 A l - M u n f i q n 1151 A l - T a g h b u n 1850 A l - a l q 1249 A l - T a r m 1248 A l - M u l k 3047 A l - Q a l a m 5246 A l - q q a h 5245 A l - M a r i j 4444 N 2843 A l - J i n n 2842 A l - M u z z a m m i l 2041 A l - M u d d a t h t h i r 5640 A l - Q i y m a h 4039 A l - I n s n 31

38 A l - M u r s a l t 5037 A l - N a b a 4036 A l - N z i t 4635 A b a s a 4234 A l - T a k w r 2933 A l - I n f i r 1932 A l - M u a f f i f n 3631 A l - I n s h i q q 2530 A l - B u r j 2229 A l - r i q 1728 A l - A l 1927 A l - G h s h i y a h 2626 A l - F a j r 3025 A l - B a l a d 2024 A l - S h a m s 1523 A l - L a y l 2122 A l - u a 1121 A l - I n s h i r 820 A l - T n 8

19 A l - A l a q 1918 A l - Q a d r 517 A l - B a y y i n a h 816 A l - Z i l z l 815 A l - d i y t 1114 A l - Q r i a h 1113 A l - T a k t h u r 812 A l - A s r 311 A l - H u m a z a 910 Al-Fl 59 Q u r a y s h 48 A l - M n 77 A l - K a w t h a r 36 A l - K f i r n 65 A l - N a r 34 T a b b a t 53 A l - I k h l 42 A l - F a l a q 51 A l - N s 6

-3

-5

Symmetricdistributionofthesumo

fthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesingroupsof19isshownintheFigure.

0

2

-1

-1

5

5

1

4

3

5

9

2

13

9

8

4

11

13

12

0

-4

5

9

2

8

12

9

1

5

14

-4

6

-12

-3

-10

-7

22

-15

0

8

-6

1

16

15

38

37

18

-5

40

42

41

33

29

35

32

42

0

6

-18

-37

4820

4

14

33

34

30

38

20

20

-17

12

-104

-11

1

-10

9

27

35

-4

17

25

50

53

13

-138

-5

-1

-18

15

-26

27

-13

-13

-2

-40

5949

1

-29

-23

-4

-19

-8

-10

-56

-98

32

107

-173

-88

-65

Sum of the differences between the backwards

sequence numbers and the number of versesB. NO. SURAH Ayat

ODD

EVEN

ODD

EVEN

ODD

EVEN

a x i s o f s y m m e t r y


29/241


29









-1

-1

-3

-5

1

4

0

2

9

2

5

5

8

4

3

5

12

0

13

9

9

2

11

13

9

1

-4

5

-4

6

8

12

-10

-7

5

14

0

8

-12

-3

16

15

22

-15

18

-5

-6

1

41

33

38

37

32

42

40

42

-18

-37

29

35

4

14

0

6

30

38

4820

-17

12

33

34

1

-10

20

20

35

-4

-104

-11

50

53

9

27

-5

-1

17

25

-26

27

13

-138

-2

-40

-18

15

1

-29

-13

-13

-19

-8

5949

Symmetricdistributionofthesumo

fthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesingroupsof19isshownintheFigure.

-173

-88

-65

-10

-56

-98

32

-23

-4

B. NO. SURAH Ayat

107

Sum of the differences between the backwards

sequence numbers and the number of verses

primenon-

prime

prime

non-

prime

prime

non-

prime



30/241

BinarySymmetricBook

30

SurahsSurahsSurahsSurahsinthefirstgroupof19ofwhichtheabsoluteinthefirstgroupof19ofwhichtheabsoluteinthefirstgroupof19ofwhichtheabsoluteinthefirstgroupof19ofwhichtheabsolutevalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwards

sequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimeandnonandnonandnonandnon----primenumbersprimenumbersprimenumbersprimenumbers

B.

No.Surah Ayat Difference Primes

Non-primes

114 Al-Ftia 7 107 107113 Al-Baqarah 286 173 173112 l Imrn 200 88 88111 Al-Nis 176 65 65110 Al-Midah 120 10 10

109 Al-Enm 165 56 56108 Al-Arf 206 98 98107 Al-Anfl 75 32 32106 Al-Tawbah 129 23 23105 Ynus 109 4 4104 Hd 123 19 19103 Ysuf 111 8 8102 Al-Rad 43 59 59101 Ibrhm 52 49 49100 Al-ijr 99 1 199 Al-Nal 128 29 29

98 Al-Isr 111 13 1397 Al-Kahf 110 13 1396 Maryam 98 2 2

Number 10 9Total 439 410

Amongthefirstgroupof19,thenumberofsurahs,ofwhich

thedifferenceisaprimenumber,isaneveneveneveneveninteger.


31/241


31

Amongthefirstgroupof19,thenumberofsurahs,ofwhich

thedifferenceisanon-primenumber,isanoddoddoddoddinteger.

Primes+Non-primes=439+410

849849849849 (Non(Non(Non(Non----prime)prime)prime)prime)PrimesNon-primes=43941029292929 (Prime)(Prime)(Prime)(Prime)

SurahsSurahsSurahsSurahsintheintheintheinthesecondsecondsecondsecondgroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutevalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimeandnonandnonandnonandnon----primenumbersprimenumbersprimenumbersprimenumbers

B.

No.

Surah Ayat Difference PrimesNon-

primes95 h 135 40 4094 Al-Anbiy 112 18 1893 Al-ajj 78 15 1592 Al-Muminn 118 26 2691 Al-Nr 64 27 2790 Al-Furqn 77 13 1389 Al-Shuar 227 138 13888 Al-Naml 93 5 587 Al-Qaa 88 1 186 Al-Ankabt 69 17 17

85 Al-Rm 60 25 2584 Luqmn 34 50 5083 Al-Sajdah 30 53 5382 Al-Azb 73 9 981 Saba 54 27 2780 Fir 45 35 3579 Ysn 83 4 478 Al-afft 182 104 10477 d 88 11 11

Number 6 13


32/241

BinarySymmetricBook

32

Total 100 518

Among the second group of 19, the number of surahs, of

whichthedifferenceisaprimenumber,isaneveneveneveneveninteger.

Among the second group of 19, the number of surahs, of

which the difference is a non-prime number, is an oddoddoddodd

integer.

Primes+Non-primes=100+518618618618618 (Non(Non(Non(Non----prime)prime)prime)prime)

PrimesNon-primes=100518418418418418 (Non(Non(Non(Non----prime)prime)prime)prime)

SurahsSurahsSurahsSurahsintheintheintheinthethirdthirdthirdthirdgroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolute

valueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimeandnonandnonandnonandnon----primenumbersprimenumbersprimenumbersprimenumbers

B.No.


primes76 Al-Zumar 75 1 175 Al-Mumin 85 10 1074 Fuilat 54 20 2073 Al-Shr 53 20 20

72 Al-Zukhruf 89 17 1771 Al-Dukhn 59 12 1270 Al-Jthiyah 37 33 3369 Al-Aqf 35 34 3468 Muammad 38 30 3067 Al-Fat 29 38 3866 Al-ujurt 18 48 4865 Qf 45 20 2064 Al-Dhriyt 60 4 463 Al-r 49 14 14


33/241


33

62 Al-Najm 62 0 061 Al-Qamar 55 6 660 Al-Ramn 78 18 1859 Al-Wqiah 96 37 37

58 Al-add 29 29 29Number 4 15Total 84 307

Amongthethirdgroupof19,thenumberofsurahs,ofwhich


Amongthethirdgroupof19,thenumberofsurahs,ofwhich



PrimesNon-primes=84307223223223223 (Prime)(Prime)(Prime)(Prime)

SurahsSurahsSurahsSurahsintheintheintheinthefourthfourthfourthfourthgroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutevalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimeandnonandnonandnonandnon----primenumbersprimenumbersprimenumbersprimenumbers

B.No.


primes57 Al-Mujdalah 22 35 3556 Al-ashr 24 32 3255 Al-Mumtainah 13 42 4254 Al-aff 14 40 4053 Al-Jumuah 11 42 4252 Al-Munfiqn 11 41 4151 Al-Taghbun 18 33 3350 Al-alq 12 38 3849 Al-Tarm 12 37 37


34/241

BinarySymmetricBook

34

48 Al-Mulk 30 18 1847 Al-Qalam 52 5 546 Al-qqah 52 6 645 Al-Marij 44 1 1

44 N 28 16 1643 Al-Jinn 28 15 1542 Al-Muzzammil 20 22 2241 Al-Muddaththir 56 15 1540 Al-Qiymah 40 0 039 Al-Insn 31 8 8


Among the fourth group of 19, the number of surahs, of

whichthedifferenceisaprimenumber,isaneveneveneveneveninteger.

Among the fourth group of 19, the number of surahs, of

which the difference is a non-prime number, is an oddoddoddodd

integer.



SurahsSurahsSurahsSurahsintheintheintheinthefifthfifthfifthfifthgroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolute

valueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimeandnonandnonandnonandnon----primenumbersprimenumbersprimenumbersprimenumbers

B.No.


primes38 Al-Mursalt 50 12 1237 Al-Naba 40 3 336 Al-Nzit 46 10 10


35/241


35

35 Abasa 42 7 734 Al-Takwr 29 5 533 Al-Infir 19 14 1432 Al-Muaffifn 36 4 4

31 Al-Inshiqq 25 6 630 Al-Burj 22 8 829 Al-riq 17 12 1228 Al-Al 19 9 927 Al-Ghshiyah 26 1 126 Al-Fajr 30 4 425 Al-Balad 20 5 524 Al-Shams 15 9 923 Leyl 21 2 222 Al-ua 11 11 1121 Al-Inshir 8 13 13

20 Al-Tn 8 12 12Number 8 11

Total 47 100

Amongthefifthgroupof19,thenumberofsurahs,ofwhich


Amongthefifthgroupof19,thenumberofsurahs,ofwhich


Primes+Non-primes=47+100

147147147147 (Non(Non(Non(Non----prime)prime)prime)prime)PrimesNon-primes=4710053535353 (Prime)(Prime)(Prime)(Prime)

SurahsSurahsSurahsSurahsintheintheintheinthesixthsixthsixthsixthgroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutegroupof19ofwhichtheabsolutevalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardsvalueofthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimesequencenumbersandthenumberofversesareprimeandnonandnonandnonandnon----primenumbersprimenumbersprimenumbersprimenumbers


36/241

BinarySymmetricBook

36

B.No.


primes19 Al-Alaq 19 0 018 Al-Qadr 5 13 13

17 Al-Bayyinah 8 9 916 Al-Zilzl 8 8 815 Al-diyt 11 4 414 Al-Qriah 11 3 313 Al-Takthur 8 5 512 Al-Asr 3 9 911 Al-Humaza 9 2 210 Al-Fl 5 5 59 Quraysh 4 5 58 Al-Mn 7 1 17 Al-Kawthar 3 4 4

6 Al-Kfirn 6 0 05 Al-Nar 3 2 24 Tabbat 5 1 13 Al-Ikhl 4 1 12 Al-Falaq 5 3 31 Al-Ns 6 5 5


Amongthesixthgroupof19,thenumberofsurahs,ofwhich

thedifferenceisaprimenumber,isaneveneveneveneveninteger.Amongthesixthgroupof19,thenumberofsurahs,ofwhich




Letsseetheresultswhichoutcomecollectively:


37/241


37


38/241

BinarySymmetricBook

38









Symmetricdistributionforthesurahsofwhichtheabs

olutevalueofthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesareprimeingroupsof19isshownintheFigure.

X

X

X

X

X

X

X

Surahs of which the absolute value of the differences

between the backwards sequence numbers and the

number of verses are primeB. NO. SURAH Ayat

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

EVEN

EVEN

EVEN

EVEN

EVEN

EVEN



39/241


39









X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

XX

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

Symmetricdistributionforthesurahsofwhichtheabsolutevalueofthedifferencesbetweenthebackwardssequencenum

bersandthenumberofversesarenon-primeingroupsof19isshownintheFigure.X

X

X

X

X

X

X

B. NO. SURAH Ayat

Surahs of which the absolute value of the differences

between the backwards sequence numbers and the

number of verses are non-prime

ODD

ODD

ODD

ODD

ODD

ODD



40/241

BinarySymmetricBook

40









1

1

3

5

1

4

0

2

9

2

5

5

8

4

3

5

12

0

13

9

9

2

11

13

9

1

4

5

4

6

8

12

10

7

5

14

0

8

12

3

16

15

22

15

18

5

6

1

41

33

38

37

32

42

40

42

18

37

29

35

4

14

0

6

30

38

4820

17

12

33

34

1

10

20

20

35

4

104

11

50

53

9

27

5

1

17

25

26

27

13

138

2

40

18

15

1

29

13

13

19

8

5949

Symmetricdistributionforthesurahsofwhichthesumofthe

absolutevalueofthedifferencesbetweenthebackwardssequencenumb

ersandthenumberofversesareprimeandnon-primeingroupsof19isshownintheFigure.

173

88

65

10

56

98

32

23

4

Difference is a prime number +

Difference is a non-prime numberB. NO. SURAH Ayat

107

non-

prime

non-

prime

non-

prime

non-

prime

non-prime

non-

prime



41/241


41

114 A l - F t i a 7113 A l - B a q a r a h 286112 l I m r n 200111 A l - N i s 176110 A l - M i d a h 120109 A l - E n m 165108 A l - A r f 206107 A l - A n f l 75106 A l - T a w b a h 129105 Y n u s 109104 H d 123103 Y s u f 111102 A l - R a d 43

101 I b r h m 52100 A l - i j r 9999 A l - N a l 12898 A l - I s r 11197 A l - K a h f 11096 M a r y a m 9895 h 13594 A l - A n b i y 11293 A l - a j j 7892 A l - M u m i n n 11891 A l - N r 6490 A l - F u r q n 7789 A l - S h u a r 22788 A l - N a m l 9387 A l - Q a a 8886 A l - A n k a b t 6985 A l - R m 6084 L u q m n 3483 A l - S a j d a h 3082 A l - A z b 7381 S a b a 5480 F i r 4579 Y s n 8378 A l - a f f t 18277 d 88

76 A l - Z u m a r 7575 A l - M u m i n 8574 F u i l a t 5473 A l - S h r 5372 A l - Z u k h r u f 8971 A l - D u k h n 5970 A l - J t h i y a h 3769 A l - A q f 3568 M u a m m a d 3867 A l - F a t 2966 A l - u j u r t 18

65 Q f 4564 A l - D h r i y t 6063 A l - r 4962 A l - N a j m 6261 A l - Q a m a r 5560 A l - R a m n 7859 A l - W q i a h 9658 A l - a d d 29


38 A l - M u r s a l t 5037 A l - N a b a 4036 A l - N z i t 4635 A b a s a 4234 A l - T a k w r 2933 A l - I n f i r 19

32 A l - M u a f f i f n 3631 A l - I n s h i q q 2530 A l - B u r j 2229 A l - r i q 1728 A l - A l 1927 A l - G h s h i y a h 2626 A l - F a j r 3025 A l - B a l a d 2024 A l - S h a m s 1523 A l - L a y l 2122 A l - u a 1121 A l - I n s h i r 820 A l - T n 819 A l - A l a q 1918 A l - Q a d r 517 A l - B a y y i n a h 816 A l - Z i l z l 815 A l - d i y t 1114 A l - Q r i a h 1113 A l - T a k t h u r 812 A l - A s r 311 A l - H u m a z a 910 Al-Fl 59 Q u r a y s h 48 A l - M n 77 A l - K a w t h a r 36 A l - K f i r n 65 A l - N a r 34 T a b b a t 53 A l - I k h l 42 A l - F a l a q 51 A l - N s 6 5

2

1

1

3

5

1

4

0

5

9

2

5

9

8

4

3

13

12

0

13

5

9

2

11

12

9

1

4

14

4

6

8

3

10

7

5

15

0

8

12

1

16

15

22

37

18

5

6

42

41

33

38

35

32

42

40

6

18

37

29

204

14

0

34

30

38

48

20

17

12

33

11

1

10

20

27

35

4

104

25

50

53

9

138

5

1

17

15

26

27

13

13

2

40

18

491

29

13

4

19

8

59

107

Symmetricdistributionforthesurahsofwhichthedifferenceso

ftheabsolutevalueofthedifferencesbetweenthebackwardssequencenumbersandthenumberofversesareprimeandnon-primeingroupsof19isshownintheFigure.

173

88

65

10

56

98

32

23

Difference is a prime number

Difference is a non-prime numberB. NO. SURAH Ayat

non-

prime

non-

prime

non-

prime


prime

prime

prime


42/241

(57)&(57)SymmetricSurahs(57)&(57)SymmetricSurahs(57)&(57)SymmetricSurahs(57)&(57)SymmetricSurahs

Inthissection,wewillfoldallthesurahsintheHoly

Koraninthemiddlesothatthefirstsurahoverlapswiththe

last one, the second one overlaps with the one before the

last,etc.Thus thefirst57surahsmatchone-to-onewith the

last57surahs.1

Figure-1Projectionofthetop57surahsis illustratedonthebottom57surahs.

In the following list, the projection of the top 57

surahsmatcheswiththebottom57surahs

No. Surah Ayat No. Surah Ayat

58 Al-Mujdalah 22 57 Al-add 29

59 Al-ashr 24 56 Al-Wqiah 9660 Al-Mumtainah 13 55 Al-Ramn 7861 Al-aff 14 54 Al-Qamar 5562 Al-Jumuah 11 53 Al-Najm 6263 Al-Munfiqn 11 52 Al-r 4964 Al-Taghbun 18 51 Al-Dhriyt 6065 Al-alq 12 50 Qf 45

1 In this section, symmetric surah means, two surahs corresponding to each other fromthe top and bottom parts.

TOP

57

BOTTOM57

BOTTOM57

TOP

57


43/241

(57)&(57)SymmetricSurahs

43

66 Al-Tarm 12 49 Al-ujurt 1867 Al-Mulk 30 48 Al-Fat 2968 Al-Qalam 52 47 Muammad 3869 Al-qqah 52 46 Al-Aqf 35

70 Al-Marij 44 45 Al-Jthiyah 3771 N 28 44 Al-Dukhn 5972 Al-Jinn 28 43 Al-Zukhruf 8973 Al-Muzzammil 20 42 Al-Shr 5374 Al-Muddaththir 56 41 Fuilat 5475 Al-Qiymah 40 40 Al-Mumin 8576 Al-Insn 31 39 Al-Zumar 7577 Al-Mursalt 50 38 d 8878 Al-Naba 40 37 Al-afft 18279 Al-Nzit 46 36 Ysn 8380 Abasa 42 35 Fir 45

81 Al-Takwr 29 34 Saba 5482 Al-Infir 19 33 Al-Azb 7383 Al-Muaffifn 36 32 Al-Sajdah 3084 Al-Inshiqq 25 31 Luqmn 3485 Al-Burj 22 30 Al-Rm 6086 Al-riq 17 29 Al-Ankabt 6987 Al-Al 19 28 Al-Qaa 8888 Al-Ghshiyah 26 27 Al-Naml 9389 Al-Fajr 30 26 Al-Shuar 22790 Al-Balad 20 25 Al-Furqn 7791 Al-Shams 15 24 Al-Nr 64

92 Leyl 21 23 Al-Muminn 11893 Al-ua 11 22 Al-ajj 7894 Al-Inshir 8 21 Al-Anbiy 11295 Al-Tn 8 20 h 13596 Al-Alaq 19 19 Maryam 9897 Al-Qadr 5 18 Al-Kahf 11098 Al-Bayyinah 8 17 Al-Isr 11199 Al-Zilzl 8 16 Al-Nal 128100 Al-diyt 11 15 Al-ijr 99101 Al-Qriah 11 14 Ibrhm 52


44/241

BinarySymmetricBook

44

102 Al-Takthur 8 13 Al-Rad 43103 Al-Asr 3 12 Ysuf 111104 Al-Humaza 9 11 Hd 123105 Al-Fl 5 10 Ynus 109

106 Quraysh 4 9 Al-Tawbah 129107 Al-Mn 7 8 Al-Anfl 75108 Al-Kawthar 3 7 Al-Arf 206109 Al-Kfirn 6 6 Al-Enm 165110 Al-Nar 3 5 Al-Midah 120111 Tabbat 5 4 Al-Nis 176112 Al-Ikhl 4 3 l Imrn 200113 Al-Falaq 5 2 Al-Baqarah 286114 Al-Ns 6 1 Al-Ftia 7

List-1

Letusnowlookatthesumofthenumberofversesofthereciprocalsurahs.

SumofthenumberofversesofthesymmetricSumofthenumberofversesofthesymmetricSumofthenumberofversesofthesymmetricSumofthenumberofversesofthesymmetricsurahssurahssurahssurahs

No. Surah No. SurahSum ofAyat

58 Al-Mujdalah 57 Al-add 5159 Al-ashr 56 Al-Wqiah 12060 Al-Mumtainah 55 Al-Ramn 9161 Al-aff 54 Al-Qamar 6962 Al-Jumuah 53 Al-Najm 7363 Al-Munfiqn 52 Al-r 6064 Al-Taghbun 51 Al-Dhriyt 7865 Al-alq 50 Qf 5766 Al-Tarm 49 Al-ujurt 3067 Al-Mulk 48 Al-Fat 5968 Al-Qalam 47 Muammad 9069 Al-qqah 46 Al-Aqf 87


45/241


45

70 Al-Marij 45 Al-Jthiyah 8171 N 44 Al-Dukhn 8772 Al-Jinn 43 Al-Zukhruf 11773 Al-Muzzammil 42 Al-Shr 73

74 Al-Muddaththir 41 Fuilat 11075 Al-Qiymah 40 Al-Mumin 12576 Al-Insn 39 Al-Zumar 10677 Al-Mursalt 38 d 13878 Al-Naba 37 Al-afft 22279 Al-Nzit 36 Ysn 12980 Abasa 35 Fir 8781 Al-Takwr 34 Saba 8382 Al-Infir 33 Al-Azb 9283 Al-Muaffifn 32 Al-Sajdah 6684 Al-Inshiqq 31 Luqmn 59

85 Al-Burj 30 Al-Rm 8286 Al-riq 29 Al-Ankabt 8687 Al-Al 28 Al-Qaa 10788 Al-Ghshiyah 27 Al-Naml 11989 Al-Fajr 26 Al-Shuar 25790 Al-Balad 25 Al-Furqn 9791 Al-Shams 24 Al-Nr 7992 Leyl 23 Al-Muminn 13993 Al-ua 22 Al-ajj 8994 Al-Inshir 21 Al-Anbiy 12095 Al-Tn 20 h 143

96 Al-Alaq 19 Maryam 11797 Al-Qadr 18 Al-Kahf 11598 Al-Bayyinah 17 Al-Isr 11999 Al-Zilzl 16 Al-Nal 136100 Al-diyt 15 Al-ijr 110101 Al-Qriah 14 Ibrhm 63102 Al-Takthur 13 Al-Rad 51103 Al-Asr 12 Ysuf 114104 Al-Humaza 11 Hd 132105 Al-Fl 10 Ynus 114


46/241

BinarySymmetricBook

46

106 Quraysh 9 Al-Tawbah 133107 Al-Mn 8 Al-Anfl 82108 Al-Kawthar 7 Al-Arf 209109 Al-Kfirn 6 Al-Enm 171

110 Al-Nar 5 Al-Midah 123111 Tabbat 4 Al-Nis 181112 Al-Ikhl 3 l Imrn 204113 Al-Falaq 2 Al-Baqarah 291114 Al-Ns 1 Al-Ftia 13

List-2

SymmetricSymmetricSymmetricSymmetricsurahssurahssurahssurahsofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofversesisoddversesisoddversesisoddversesisodd2222

No. Surah No. Surah Sum ofAyat58 Al-Mujdalah 57 Al-add 5160 Al-Mumtainah 55 Al-Ramn 9161 Al-aff 54 Al-Qamar 6962 Al-Jumuah 53 Al-Najm 7365 Al-alq 50 Qf 5767 Al-Mulk 48 Al-Fat 5969 Al-qqah 46 Al-Aqf 8770 Al-Marij 45 Al-Jthiyah 8171 N 44 Al-Dukhn 87

72 Al-Jinn 43 Al-Zukhruf 11773 Al-Muzzammil 42 Al-Shr 7375 Al-Qiymah 40 Al-Mumin 12579 Al-Nzit 36 Ysn 12980 Abasa 35 Fir 8781 Al-Takwr 34 Saba 8384 Al-Inshiqq 31 Luqmn 5987 Al-Al 28 Al-Qaa 107

2 Let us call this set S.


47/241


47

88 Al-Ghshiyah 27 Al-Naml 11989 Al-Fajr 26 Al-Shuar 25790 Al-Balad 25 Al-Furqn 9791 Al-Shams 24 Al-Nr 79

92 Leyl 23 Al-Muminn 13993 Al-ua 22 Al-ajj 8995 Al-Tn 20 h 14396 Al-Alaq 19 Maryam 11797 Al-Qadr 18 Al-Kahf 11598 Al-Bayyinah 17 Al-Isr 119101 Al-Qriah 14 Ibrhm 63102 Al-Takthur 13 Al-Rad 51106 Quraysh 9 Al-Tawbah 133108 Al-Kawthar 7 Al-Arf 209109 Al-Kfirn 6 Al-Enm 171

110 Al-Nar 5 Al-Midah 123111 Tabbat 4 Al-Nis 181113 Al-Falaq 2 Al-Baqarah 291114 Al-Ns 1 Al-Ftia 13

List-3

Thereare36363636surahsinList-3

SySySySymmetricmmetricmmetricmmetricsurahssurahssurahssurahsofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofversesisversesisversesisversesiseveneveneveneven3333

No. Surah No. Surah Sum of Ayat

59 Al-ashr 56 Al-Wqiah 12063 Al-Munfiqn 52 Al-r 6064 Al-Taghbun 51 Al-Dhriyt 7866 Al-Tarm 49 Al-ujurt 3068 Al-Qalam 47 Muammad 9074 Al-Muddaththir 41 Fuilat 110

3 Let us call this set V.


48/241

BinarySymmetricBook

48

76 Al-Insn 39 Al-Zumar 10677 Al-Mursalt 38 d 13878 Al-Naba 37 Al-afft 22282 Al-Infir 33 Al-Azb 92

83 Al-Muaffifn 32 Al-Sajdah 6685 Al-Burj 30 Al-Rm 8286 Al-riq 29 Al-Ankabt 8694 Al-Inshir 21 Al-Anbiy 12099 Al-Zilzl 16 Al-Nal 136100 Al-diyt 15 Al-ijr 110103 Al-Asr 12 Ysuf 114104 Al-Humaza 11 Hd 132105 Al-Fl 10 Ynus 114107 Al-Mn 8 Al-Anfl 82112 Al-Ikhl 3 l Imrn 204

List-4Thereare21212121surahsinList-4

SymmetricSymmetricSymmetricSymmetricsurahssurahssurahssurahsofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofversesisnotrepeatingversesisnotrepeatingversesisnotrepeatingversesisnotrepeating4444


60 Al-Mumtainah 55 Al-Ramn 9161 Al-aff 54 Al-Qamar 69

63 Al-Munfiqn 52 Al-r 6064 Al-Taghbun 51 Al-Dhriyt 7865 Al-alq 50 Qf 5766 Al-Tarm 49 Al-ujurt 3068 Al-Qalam 47 Muammad 9070 Al-Marij 45 Al-Jthiyah 8175 Al-Qiymah 40 Al-Mumin 12576 Al-Insn 39 Al-Zumar 106

4 Let us call this set P.


49/241


49

77 Al-Mursalt 38 d 13878 Al-Naba 37 Al-afft 22279 Al-Nzit 36 Ysn 12981 Al-Takwr 34 Saba 83

82 Al-Infir 33 Al-Azb 9283 Al-Muaffifn 32 Al-Sajdah 6686 Al-riq 29 Al-Ankabt 8687 Al-Al 28 Al-Qaa 10789 Al-Fajr 26 Al-Shuar 25790 Al-Balad 25 Al-Furqn 9791 Al-Shams 24 Al-Nr 7992 Leyl 23 Al-Muminn 13993 Al-ua 22 Al-ajj 8995 Al-Tn 20 h 14397 Al-Qadr 18 Al-Kahf 115

99 Al-Zilzl 16 Al-Nal 136101 Al-Qriah 14 Ibrhm 63104 Al-Humaza 11 Hd 132106 Quraysh 9 Al-Tawbah 133108 Al-Kawthar 7 Al-Arf 209109 Al-Kfirn 6 Al-Enm 171110 Al-Nar 5 Al-Midah 123111 Tabbat 4 Al-Nis 181112 Al-Ikhl 3 l Imrn 204113 Al-Falaq 2 Al-Baqarah 291114 Al-Ns 1 Al-Ftia 13

List-5Thereare36363636surahsinList-5EvaluationEvaluationEvaluationEvaluation

The number of the symmetric surahs of which the total number of versesis odd, is equal to the number of symmetric surahs of which the total number ofverses are not repeating.


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50

SymmetricSymmetricSymmetricSymmetricsurahssurahssurahssurahsofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofversesisrepeatingversesisrepeatingversesisrepeatingversesisrepeating5555

No. Surah No. Surah Sum of Ayat58 Al-Mujdalah 57 Al-add 5159 Al-ashr 56 Al-Wqiah 12062 Al-Jumuah 53 Al-Najm 7367 Al-Mulk 48 Al-Fat 5969 Al-qqah 46 Al-Aqf 8771 N 44 Al-Dukhn 8772 Al-Jinn 43 Al-Zukhruf 11773 Al-Muzzammil 42 Al-Shr 7374 Al-Muddaththir 41 Fuilat 11080 Abasa 35 Fir 8784 Al-Inshiqq 31 Luqmn 5985 Al-Burj 30 Al-Rm 8288 Al-Ghshiyah 27 Al-Naml 11994 Al-Inshir 21 Al-Anbiy 12096 Al-Alaq 19 Maryam 11798 Al-Bayyinah 17 Al-Isr 119100 Al-diyt 15 Al-ijr 110102 Al-Takthur 13 Al-Rad 51103 Al-Asr 12 Ysuf 114105 Al-Fl 10 Ynus 114

107 Al-Mn 8 Al-Anfl 82List-6Thereare21212121surahsinList-6EvaluationEvaluationEvaluationEvaluation

The number of the symmetric surahs of which the total number of versesis even, is equal to the number of symmetric surahs of which the total number ofverses are repeating.

5 Let us call this set R.


51/241


51

58 A l - M u j d a l a h 22 57 A l - a d d 29

59 A l - a s h r 24 56 A l - W q i a h 96

60 A l - M u m t a i n a h 13 55 A l - R a m n 78

61 A l - a f f 14 54 A l - Q a m a r 55

62 A l - J u m u a h 11 53 A l - N a j m 62

63 A l - M u n f i q n 11 52 A l - r 49

6 4 A l - T a g h b u n 18 51 A l - D h r i y t 60

65 A l - a l q 12 50 Q f 45

66 A l - T a r m 12 49 A l - u j u r t 18

67 A l - M u l k 30 48 A l - F a t 29

68 A l - Q a l a m 52 47 M u a m m a d 38

69 A l - q q a h 52 46 A l - A q f 35

70 A l - M a r i j 44 45 A l - J t h i y a h 37

71 N 28 44 A l - D u k h n 59

72 A l - J i n n 28 43 A l - Z u k h r u f 89

73 A l - M u z z a m m i l 20 42 A l - S h r 53

74 A l - M u d d a t h t h i r 56 41 F u i l a t 54

75 A l - Q i y m a h 40 40 A l - M u m i n 85

76 A l - I n s n 31 39 A l - Z u m a r 75

77 A l - M u r s a l t 50 38 d 88

78 A l - N a b a 40 37 A l - a f f t 182

79 A l - N z i t46

36 Y s n83

80 A b a s a 42 35 F i r 45

81 A l - T a k w r 29 34 S a b a 54

82 A l - I n f i r 19 33 A l - A z b 73

83 A l - M u a f f i f n 36 32 A l - S a j d a h 30

84 A l - I n s h i q q 25 31 L u q m n 34

85 A l - B u r j 22 30 A l - R m 60

86 A l - r i q 17 29 A l - A n k a b t 69

87 A l - A l 19 28 A l - Q a a 88

88 A l - G h s h i y a h 26 27 A l - N a m l 93

89 A l - F a j r 30 26 A l - S h u a r 227

90 A l - B a l a d 20 25 A l - F u r q n 77

91 A l - S h a m s 15 24 A l - N r 64

92 A l - L a y l 21 23 A l - M u m i n n 118

93 A l - u a 11 22 A l - a j j 78

94 A l - I n s h i r 8 21 A l - A n b i y 112

95 A l - T n 8 20 h 135

96 A l - A l a q 19 19 M a r y a m 98

97 A l - Q a d r 5 18 A l - K a h f 110

98 A l - B a y y i n a h8

17 A l - I s r 111

99 A l - Z i l z l 8 16 A l - N a l 128

100 A l - d i y t 11 15 A l - i j r 99

101 A l - Q r i a h 11 14 I b r h m 52

1 02 A l - T a k t h u r 8 13 A l - R a d 43

103 A l - A s r 3 12 Y s u f 111

104 A l - H u m a z a 9 11 H d 123

105 Al-Fl 5 10 Y n u s 109

106 Q u r a y s h 4 9 A l - T a w b a h 129

107 A l - M n 7 8 A l - A n f l 75

108 A l - K a w t h a r 3 7 A l - A r f 206

109 A l - K f i r n 6 6 A l - E n m 165

110 A l - N a r 3 5 A l - M i d a h 120

111 T a b b a t 5 4 A l - N i s 176

112 A l - I k h l 4 3 l I m r n 200

113 A l - F a l a q 5 2 A l - B a q a r a h 286

114 A l - N s 6 1 A l - F t i a 7

No.No. Surah Ayat Surah Ayat

Inthefigure,equaldistributionofthesymmetrics

urahsofwhichthesumofthenumberofversesisoddandthesy

mmetricsurahsofwhichthesumofthenumberofversesisnotrepeatingisshown.

X

X

Symmetric surahs ofwhich the sum of thenumber of verses is

odd


not repeating

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

XX

X

X

X

X

X

X

X

X

XX

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

XX

X

X

X

X

57 & 57

SYMMETRC SURAHS

36 36ax

is

o

f

symme

try


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BinarySymmetricBook

52

58 A l - M u j d a l a h 22 57 A l - a d d 29

59 A l - a s h r 24 56 A l - W q i a h 96

60 A l - M u m t a i n a h 13 55 A l - R a m n 78

61 A l - a f f 14 54 A l - Q a m a r 55

62 A l - J u m u a h 11 53 A l - N a j m 62

63 A l - M u n f i q n 11 52 A l - r 49

6 4 A l - T a g h b u n 18 51 A l - D h r i y t 60

65 A l - a l q 12 50 Q f 45

66 A l - T a r m 12 49 A l - u j u r t 18

67 A l - M u l k 30 48 A l - F a t 29

68 A l - Q a l a m 52 47 M u a m m a d 38

69 A l - q q a h 52 46 A l - A q f 35

70 A l - M a r i j 44 45 A l - J t h i y a h 37

71 N 28 44 A l - D u k h n 59

72 A l - J i n n 28 43 A l - Z u k h r u f 89

73 A l - M u z z a m m i l 20 42 A l - S h r 53

74 A l - M u d d a t h t h i r 56 41 F u i l a t 54

75 A l - Q i y m a h 40 40 A l - M u m i n 85

76 A l - I n s n 31 39 A l - Z u m a r 75

77 A l - M u r s a l t 50 38 d 88

78 A l - N a b a 40 37 A l - a f f t 182

79 A l - N z i t46

36 Y s n83

80 A b a s a 42 35 F i r 45

81 A l - T a k w r 29 34 S a b a 54

82 A l - I n f i r 19 33 A l - A z b 73

83 A l - M u a f f i f n 36 32 A l - S a j d a h 30

84 A l - I n s h i q q 25 31 L u q m n 34

85 A l - B u r j 22 30 A l - R m 60

86 A l - r i q 17 29 A l - A n k a b t 69

87 A l - A l 19 28 A l - Q a a 88

88 A l - G h s h i y a h 26 27 A l - N a m l 93

89 A l - F a j r 30 26 A l - S h u a r 227

90 A l - B a l a d 20 25 A l - F u r q n 77

91 A l - S h a m s 15 24 A l - N r 64

92 A l - L a y l 21 23 A l - M u m i n n 118

93 A l - u a 11 22 A l - a j j 78

94 A l - I n s h i r 8 21 A l - A n b i y 112

95 A l - T n 8 20 h 135

96 A l - A l a q 19 19 M a r y a m 98

97 A l - Q a d r 5 18 A l - K a h f 110

98 A l - B a y y i n a h8

17 A l - I s r 111

99 A l - Z i l z l 8 16 A l - N a l 128

100 A l - d i y t 11 15 A l - i j r 99

101 A l - Q r i a h 11 14 I b r h m 52

1 02 A l - T a k t h u r 8 13 A l - R a d 43

103 A l - A s r 3 12 Y s u f 111

104 A l - H u m a z a 9 11 H d 123

105 Al-Fl 5 10 Y n u s 109

106 Q u r a y s h 4 9 A l - T a w b a h 129

107 A l - M n 7 8 A l - A n f l 75

108 A l - K a w t h a r 3 7 A l - A r f 206

109 A l - K f i r n 6 6 A l - E n m 165

110 A l - N a r 3 5 A l - M i d a h 120

111 T a b b a t 5 4 A l - N i s 176

112 A l - I k h l 4 3 l I m r n 200

113 A l - F a l a q 5 2 A l - B a q a r a h 286

114 A l - N s 6 1 A l - F t i a 7

No. Surah Ayat No. Surah Ayat

57 & 57

SYMMETRC SURAHS


even


repeating

Inthefigure,equaldistributionofthesymmetric

surahsofwhichthesumofthenumberofversesisevenandthe

symmetricsurahsofwhichthesumofthenumberofversesisrepeatingisshown.

X

X X

X

X

X

X

X

X

X

X

X

X

X X

X

X

X

X

X

X

X

X X

X

X

X X

X

XX

X X

X

X X

X

X X

X X

X

21 21ax

is

o

f

symme

try


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53

EvaluationEvaluationEvaluationEvaluation

Total number of verses being repeating, or odd or even are completelyindependent issues. The relation established between these can only be explained byassembly and editing. It is not possible to consider this equal distribution of thesesurahs as a coincident. Forwhy, the relation between them is not limited with thishappening.

SymmetricSymmetricSymmetricSymmetricsurahssurahssurahssurahsofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofversesisanoddnumberandtheinitialsequenceversesisanoddnumberandtheinitialsequenceversesisanoddnumberandtheinitialsequenceversesisanoddnumberandtheinitialsequencenumberisoddandthesecondseqnumberisoddandthesecondseqnumberisoddandthesecondseqnumberisoddandthesecondsequencenumberisevenuencenumberisevenuencenumberisevenuencenumberiseven6666


61 Al-aff 54 Al-Qamar 69

65 Al-alq 50 Qf 5767 Al-Mulk 48 Al-Fat 5969 Al-qqah 46 Al-Aqf 8771 N 44 Al-Dukhn 8773 Al-Muzzammil 42 Al-Shr 7375 Al-Qiymah 40 Al-Mumin 12579 Al-Nzit 36 Ysn 12981 Al-Takwr 34 Saba 8387 Al-Al 28 Al-Qaa 10789 Al-Fajr 26 Al-Shuar 25791 Al-Shams 24 Al-Nr 7993 Al-ua 22 Al-ajj 8995 Al-Tn 20 h 14397 Al-Qadr 18 Al-Kahf 115101 Al-Qriah 14 Ibrhm 63109 Al-Kfirn 6 Al-Enm 171111 Tabbat 4 Al-Nis 181113 Al-Falaq 2 Al-Baqarah 291

List-7

6 Let us call this set X1.


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SymmetricSymmetricSymmetricSymmetricsurahssurahssurahssurahsofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofversesisanoddnumberandtheinitialsequenceversesisanoddnumberandtheinitialsequenceversesisanoddnumberandtheinitialsequenceversesisanoddnumberandtheinitialsequencenumberisnumberisnumberisnumberisevenevenevenevenandthesecondsequencenumbeandthesecondsequencenumbeandthesecondsequencenumbeandthesecondsequencenumberisrisrisrisoddoddoddodd7777


58 Al-Mujdalah 57 Al-add 5160 Al-Mumtainah 55 Al-Ramn 9162 Al-Jumuah 53 Al-Najm 7370 Al-Marij 45 Al-Jthiyah 8172 Al-Jinn 43 Al-Zukhruf 11780 Abasa 35 Fir 87

84 Al-Inshiqq 31 Luqmn 5988 Al-Ghshiyah 27 Al-Naml 11990 Al-Balad 25 Al-Furqn 9792 Leyl 23 Al-Muminn 13996 Al-Alaq 19 Maryam 11798 Al-Bayyinah 17 Al-Isr 119102 Al-Takthur 13 Al-Rad 51106 Quraysh 9 Al-Tawbah 133108 Al-Kawthar 7 Al-Arf 209110 Al-Nar 5 Al-Midah 123114 Al-Ns 1 Al-Ftia 13

List-8


Now lets look at the sequence numbers of thesymmetricsurahsofwhichthesumofthenumberofversesisnotrepeating.

7 Let us call this set X2.


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55

SSSSymmetricymmetricymmetricymmetricsurahssurahssurahssurahsofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofofwhichthesumofthenumberofversesisnotrepeatingversesisnotrepeatingversesisnotrepeatingversesisnotrepeatingandtheinitialsequencenumberandtheinitialsequencenumberandtheinitialsequencenumberandtheinitialsequencenumberisoddandthesecondsequencenumberisevenisoddandthesecondsequencenumberisevenisoddandthesecondsequencenumberisevenisoddandthesecondsequencenumberiseven 8888


61 Al-aff 54 Al-Qamar 6963 Al-Munfiqn 52 Al-r 6065 Al-alq 50 Qf 5775 Al-Qiymah 40 Al-Mumin 12577 Al-Mursalt 38 d 13879 Al-Nzit 36 Ysn 12981 Al-Takwr 34 Saba 8383 Al-Muaffifn 32 Al-Sajdah 66

87 Al-Al 28 Al-Qaa 10789 Al-Fajr 26 Al-Shuar 25791 Al-Shams 24 Al-Nr 7993 Al-ua 22 Al-ajj 8995 Al-Tn 20 h 14397 Al-Qadr 18 Al-Kahf 11599 Al-Zilzl 16 Al-Nal 136101 Al-Qriah 14 Ibrhm 63109 Al-Kfirn 6 Al-Enm 171111 Tabbat 4 Al-Nis 181113 Al-Falaq 2 Al-Baqarah 291

List-9Thereare19191919surahsinList-9EvaluationEvaluationEvaluationEvaluation

Number of the symmetric surahs of which the sum of the number ofverses is odd and the first sequence number is odd and the second sequence iseven is 19, whereas the number of the symmetric surahs of which the sum of

8 Let us call t

Binary Symmetric Book 4

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Transcript of Binary Symmetric Book 4