Presentation Presentation Qur'ān is the book of Allāh that was announced by revelations to Muhammad (p.b.u.h), Prophet, in 23 years of his prophet hood. It starts with the opening chapter al-Fati'a and endedwiththechapterofal-Nas.Sincetherevelationsweremade ithasbeentransmittedfromonegenerationtoanotherbywayof bothinwrittenandorally. The announcer in the Qur'ān is invariably Allāh. Again, theimportthatisincludedinwordaswellasthecompositionof thewordsisbelongingtoAllāh. God’sfinalrevelations,theHolyQur'ānwassentdownin verses(ayas).Preservationoftheversesthatweresentdownina healthy manner, and consequently the concern for not a single verse to be missed from the Holy Qur'ān encircled Prophet Mohammad, before anyone else, who was charged directly with such revelation. Such concern of the Holy Prophet came into existencealongwiththeinitialverses. This solicitousness drives the Holy Prophet to memorize theversesimmediatelybymurmuringwhiletheywerereadbythe angel. The awareness of the sole discretion for the process followingtherevelationsoftheversesstimulatesafeelingofgreat responsibility. In a short time, His God relieved him on this particular matterinoneoftheinitialversesbystatingthat; א Presentation “Movenotyourtongueconcerning(theQur'ān)tomake haste therewith. To gather it and make it read certainly belongs us”1 Thus, the exalted Allāh announced firsthand that he has undertaken gathering of the Holy Qur'ān and transmitting it to mankindasHolyQur'ān.2 TheexaltedAllāhprovidedprotectionforQur'ānthatHe never had made it before for the books of local religions just becauseitisthesourceoftherightwayofauniversalreligionthat willlastuntildoomsday. K ! "א#$ “Verily,We,itisWeWhohavesentdowntheDhikr(i.e. theQur'ān)andsurely,Wewillguardit(fromcorruption)”3 Then,wemightsaythatQur'ān,ineveryrespect,isunder the protection of Allāh. It will be transmitted to the next generationsjustashadbeendonetoourgenerationbyHim. The reality that Holy Qur'ān will be kept away from any kindof shame and defect is declared bythe creator(likethis) as follows: +,-#.*"(/0#.*1*2#.&'*)(א K13 “Falsehoodcannotcometoitfrombeforeitorbehindit, (itis)sentdownbytheAll-Wise,Worthyofallpraise ”4 1 2 3 4 Al-Qiyāmah/16-17 Thereissomeinformationavailable concerningthearrangementofsomesurahsthat they had been made by interpretation with regard to collection of the Holy Qur'ān. However, both the ayat hereinabove and the magnificent numeric structure which standsbeforeusshowsthattheHolyQur'ānisundertheobservanceoftheAllāh. Al-=ijr/9 Fussilat/42 19 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com Theforegoingexplanationsindicatethat,regardlessfrom the course of the historical process, the Holy Qur'ān is always underthesupervisionoftheMightyGod,andmustbereveredas such. Another particular subject which should not also be disregarded is the fact that Holy Qur'ān introduced itself as a book.SuchintroductionisanimportantpresumptiononthatHoly Qur'ānshallnotremainasascatteredmaterialinpages,andturn to become a book by causing all of its pages to be brought together. The Mighty God’s emphasis of a “book” with respect to Holy Qur'ān, which is referred at most the verses should be assessedproperly.Inordertocomprehendthissubjectmatter,one should consider how the concept of the book takes place in the cultureofmankind.Everyauthorhasfullunderstandingsuchthat, everybody may have beneficial accumulation of information with respect to his/her experiences and the knowledge. However, arrangement of such knowledge in an order to put them into writing is notthat easy thus, many intellectuals are not copyright owners. Thepresumptionthatthefactof“orderandarrangement” which human beings give importance in their publications might bedisregardedintheHolyBookofDeityGodwouldbeirrelevant. From this perspective, there is nothing precluding the Mighty God’semphasisofa“book”fortheHolyQur'ān,consideredasan indicatorofHisorderandarrangement. As a matter of fact, the first verse of the ''Hud'' surah enunciatesthat: 20 Presentation K4'0+,-1#.56+7(*859,-:; א “Alif-Lam-Ra (This is) a Book, the Verses whereof are perfected(ineverysphereofknowledge,etc.),andthenexplained indetailfromOne(Allāh),WhoisAll-WiseandWell-Acquainted (withallthings).”5 It is possible to negotiate these approaches depicting the structureoftheHolyQur'ānasdestinedbysupportingwithmore verses and hadiths. However, this is not the purpose of this currentstudy. The study named as “Binary Symmetric Book ” comprisesaseriesofmathematicalanalysisinvestigatingwhether the Holy Qur'ān has a specific numerical order in terms of both the order of surahs and the number of verses. The purpose is to depict the structure of this current Holy Qur'ān, namely, to determinetheevent.Itshouldnotbeforgottenthat,thisresearch is an examination which was performed from the end, therefore, the results which it sets forth, in a way contain data having feedbacknature. It is possible to respond the question of why this study predicatedonamathematicalapproach,asfollows:Thereasonfor itthestructureoftheHolyQur'ānitself.HolyQur'ānisbasedona numerical system, as a book. As long as you open a page, you encounterwithnumbers.Therefore,numericalplatformisnotour choice, but rather the manifestation of whom sent down the “Book”.Pleasenotetothefollowingstatement: 5 Hud/1 21 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com TheHolyQur'āncomprisesof114surahs. This is a rather short statement which is convenient to express the structure of the Holy Qur'ān. As it is seen, even this definition is a mathematical expression, forwhy it includes a “number”. Asaresult,theimpossibilitytoanalyzethestructureofthe HolyQur'ānascompletelyindependentofthenumbersisobvious. Therefore,itisaslegitimatetoanalyzethestructureoftheHoly Qur'ānintermsofnumericalbases,asanalyzingintermsofother pointofviews.Even,suchastudyshouldbeconsideredwithinthe scope of the Holy Qur'ān studies (tadabbor al-Qur'ān) and furthermoreitshouldalsobeencouragedsinceithasbeenignored untilnow. WhentheHolyQur'ānisanalyzed,itisperceivedthatthe Mighty God gives importance to mathematics, and even it is perceivedthatMightyGodblesseshimselfinthismatterinmany places. The exalted Allāh regards himself as superior on mathematicsstatinginachapterthat: 2'=-</ “AndSufficientareWeasaReckoner”6 In another chapter He states that his calculation is infallible: 6 Al-Anbiyā/47 22 Presentation '->? < @א “Certainly, Allāh is Ever a Careful Reckoner of all things”7 ByanotherchapterheletusknowthatHeis“thefastest” incalculations: 2'=אA=:B “HeistheSwiftestamongtheReckoners!”8 There is no wonder that He, who is very sure of Himself on calculation, organized a book that is called by His name in a way that it attracts attention of the people who have knowledge aboutmathematics. Mathematicsisnotthefavoriteofmanypeople.Sincethey donotfamiliarwithnumbers,everyfigurecanbeidentical.Such persons do not even mind the difference between odd and even numbers.Whereas,Allāhsworeonthesetwonumbertypesinthe HolyQur'ān: (אC/Dא “And by the even and the odd”9 ItshouldbeknownbyallthatAllāhonlyswearson“very important”things.10 7 8 9 10 Al-Nisā/86 Al-An'am/62 al-Facr/3 As an example of these swears, Deity God himself (al-Nisa/63), Judgment Day (alQıyamah/1) and the locality of the planets (al-Waqıah/75) can be counted. 23 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com The exalted Allāh who transmitted Qur'ān to us makes references,inmanychapters,toHimselfas‘el-Alîm’meaningthat ‘The All-Knower’ or ‘the Omniscient’. Thus, it may well be understoodthat,everythingthatmanhavealreadylearnedtodate andwillhavebeenlearnedinfutureAllāhhasalreadypossessed. Mathematics is the common language of mankind. Allāh taught itto mankind in order to appreciate his ownEssence. He honoredthepeoplewhohadknowledgeaboutmathematicsas‘the groupwhoknows’ LM. KJ1 אJ 9I אH G9D אF E! אB 6/* O P @ אO0 . ; א2 אN1 א9 K9*SIQ*Rא “ItisHeWhomadethesunashiningthingandthemoon asalightandmeasuredoutforitstagesthatyoumightknowthe numberofyearsandthereckoning thereckoning.Allāhdidnotcreatethisbutin thereckoning truth. He explains the Ayat (proofs, evidences, verses, lessons, signs, revelations, etc.) in detail, for a people who have knowledge”11 We are observing the transcendental knowledge of Allāh on mathematics in every point of the universe. The human race makesuseofmathematicsasitstudiessubstance.Thewondering admiration of mankind that it feels for its Creator has been increased as it has figured out the art that has been engraved in everythingcreatedbyAllāh.Whydon’twemakeasimilarkindof investigation which we have made on his creatures also on his BookwhichwassentbythesameEssence?Thisstudyhereinhas beenpreparedbysettingoutfromthisstartingpoint. 11 Yūnus/5 24 Presentation At this point, it would be beneficial to remind that not every approach including numbers can be regarded as mathematicalanalysis.Forwhy,themajordeficiencyinmostofthe studies until today, is lacking in scientific objectivity. With the motivethatsuchasurveyisamatterofbelief,theydeemedsuch subjective method of approaches as favorable. In the short run, although such studies excite the believers, they have corrosive effectsinthelongrun.Eventheworse,theyhaveleftacompletely adverse ground for the researches who wish to make scientific surveysonthissubject. We, as the one who has personal experience in this subject,givegreatemphasisfornotmakinganycontributiontothe currentnegativescene.Forthisreason,anydeterminationwhichis based on purports, or which does not cover the entirety, fragmentary,andthereforewhichcanbeconsideredassubjective, is given importance for not to be included., Any endeavors to obtainapredeterminedfigurebymeansoffocaldeterminationsas canbeperceivedinmanystudieswereneverattempted.Forwhy, such studies, although approved by some sectors, may not be deemedasconsistentwithrespecttotheirsubjectivity. Determinations set forth in this study, composed of consequenceswhichrespectstheintegrityoftheHolyQur'ān,and do not ascribe to any subjective references, and which may be achieved as is when handled by any researchers regardless of his/herbeingabelieverornot.Inourpointofview,theobjectivity and accuracy of the results are important rather than they are beinglikedordisliked.Ifwereturntotheforegoingexample,the tables provided in the study are as accurate as the indisputable statementof,“TheHolyQur'āncomprisesof114surahs”. 25 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com This study brings the numerical structure of the Holy Qur'ānwhichcannotbepossiblyexplainedbyrandomgeneration intopublic’sattention.Itspurposeistostatetheexistenceofthis extremelysensibleregularstructure.Apartfromthisisbeyondthe scopeofthisbook.Thetablessetforthinthebookreflectconcrete realities.Consequently,whetherarrangementofHolyQur'ānisto be based on revelation or not, would make any influence in the existenceofthisnumericalorder,butonlycausesadifferentiation in its interpretation. Whereas the ones who consider this arrangementisbasedonrevelationascribesuchexceptionalorder of Holy Qur'ān to the Deity God directly, the others are in a position to attribute such exceptionality again to the God indirectly, forwhyitisafactthatsuchnumericalordercannotbe humanmadeisapparentinallitsnakedness. BinarySymmetricBook,isthefirstvolumeoftheseries of 4 books covering the studies in this respect. The following sectiontitlesarecontainedinthiscurrentbook: • OddandEvenNumbers • Surahs of which the number of ayats are greater than sequencenumber • Surahs of which the number of ayats are smaller than sequencenumber • PrimeNumbers • SequenceNumbersSetandNumberofAyatsSet • Thenumberswhicharedividedbytwoandnotdividedby three • Thenumberswhicharedividedbythreeandnotdivided bytwo 26 Presentation • three • • • • • • • The numbers which are neither divisible by two nor by Thenumberswhicharedivisiblebytwoandthree Thenumberswhicharedivisiblebytwo Thenumberswhicharedivisiblebythree SumofthePrimeFactors PerfectNumbers AbundantNumbers DeficientNumbers The consequences arise as a result of every survey is submittedtothe attention of the audience as tables covering the entireHollyQur'ān. When the tables are observed, “binary symmetric” structureis immediatelyencountered.Theconceptwhichwegive as the title of our study, is the consequence of the mathematical analysisontheHolyQur'ān,whereas,itisalsoadefinitionusedby Allāh,forthebookHesentdown: . DI( > V. UD. T*1 א#-: L" @א X +U +BNF 2( +7 +UJ DW #*! אNF 9 @ אZ* #. D* #. E1U* @ אY1B P @ אP KNB#. “Allāh has sent down the best Statement as a binary symmetric symmetric book. book The skins of those who fear their Lord shiver fromit.Thentheirskinandtheirheartsoftentotheremembrance of Allāh. That is the guidance of Allāh. He Guides therewith 27 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com whomHewills;andwhomeverAllāhsendsastray,forhimthereis noguide.”12 This verse has a substantial purport for the ones who assessthetablesastheconsequenceofthedivinedecreewhichare set forth in the “Binary Symmetric Book ”. Forwhy, the mathematical structure on which the entire arrangement of the Holy Qur'ān is based on was presented clearly again in the Holy Qur'ān14centuriesago. WhentheinterpretationsofHolyQur'ānareobserved,it isperceivedthatforsymmetric,theword“similar”andfor“dual” the word “repeating” is used. This situation should not be regarded as strange, forwhy these are already named as interpretations by definition. Interpretations do not include oneto-onetranslation. BinarySymmetricBookconsistsofestablishmentsata levelsothateveryonewhetherisongoodtermswiththefiguresor notcangetbenefit.Theanalyseswereperformedbyonlyusingthe four arithmetical operations. Any result that is an outcome of advancemathematicsisnotincludedinthisbookonpurposely. The Holy Qur'ān introduces itself as a book “which has not any rayb (suspicious thing, uncertain knowledge) inside.’’13 ThisisasituationwhichisspecificforAllāh’sbook.Itcannotbe thoughtthethingsthataretoldorwrittenbyusinotherwordsby his servants to be faultless and perfect. Consequently we would liketothankyoutothereaderswhowillshareourfaultswithusat thisverymoment. I assume it as an obligatory duty to thank to the gentleman,myrespectedmasterProf.Dr.M.AliSÖNMEZwho encouraged me by his suggestions and recommendations on the studies that I have made in this field as much as he did in my studies in the Hadith subject; to my valuable brother Haydar 12 13 Al-Zumar/23 Al-Baqarah/2. 28 Presentation SOYSAL who is an electrical engineer and who has been always onmysideandhassubstantialcontributionsineverystageofthis book and to my family members who welcomed my studies with greatpatientandtoleration. Dr. Eng. Halis AYDEMİR Bursa-2005 [email protected] 29 Indexoft IndexoftheHolyQur’ān heHolyQur’ān Qur’ān In the index of the Holy Qur’ān each surah (chapter) is defined with two numbers. One of them is the sequence number whichshowstheplaceofthesurahintheserialization.Theother one is the number which specifies the number of verses (ayats) 1 containedinthesurah. Example: Thenameofthe chapter(surah) Thesequence number 1 Al-Fāti'a Thenumber ofayats 7 There are 114 surahs included in the Holy Qur’ān. Consequently there are 114 sequence numbers and 114 ayat numbers which correspond to such sequence numbers in the index: No. Surah 1 2 3 4 5 6 7 8 9 Al-Fāti'a Al-Baqarah Āl‘Imrān Al-Nisā Al-Māidah Al-En‘ām Al-A‘rāf Al-Anfāl Al-Tawbah 1 XX Ayat No. 7 286 200 176 120 165 206 75 129 58 59 60 61 62 63 64 65 66 Surah Ayat Ayat Al-Mujādalah Al-=ashr Al-Mumta'inah Al-Taff Al-Jumu‘ah Al-Munāfiqūn Al-Taghābun Al-Valāq Al-Ta'rīm 22 24 13 14 11 11 18 12 12 Hereby,itshallbehelpfultoremindthat:Thereareprintingpresserrorsavailablein pointofthenumbersofayatinsomeoftheindexesoftheHolyQur'ān.Ourreaders whoshallwishtoverifytheapproachesthatwehavegiveninthisbookshouldbefore all else review and emendate their indexes which they are using with regard to the numberofayatsofwhicharecontainedinthesurahs. IndexoftheHolyQur'an 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 Yūnus Hūd Yūsuf Al-Ra‘d Ibrāhīm Al-=ijr Al-Na'l Al-’Isrā Al-Kahf Maryam Vāhā Al-Anbiyā Al-=ajj Al-Mu’minūn Al-Nūr Al-Furqān Al-Shu‘arā Al-Naml Al-QaYaY Al-‘Ankabūt Al-Rūm Luqmān Al-Sajdah Al-A'zāb Saba FāXir Yāsīn Al-Taffāt Tād Al-Zumar Al-Mu’min FuYYilat Al-Shūrā Al-Zukhruf Al-Dukhān Al-Jāthiyah Al-A'qāf 109 123 111 43 52 99 128 111 110 98 135 112 78 118 64 77 227 93 88 69 60 34 30 73 54 45 83 182 88 75 85 54 53 89 59 37 35 Al-Mulk 67 Al-Qalam 68 Al-=āqqah 69 Al-Ma‘ārij 70 Nū' 71 Al-Jinn 72 73 Al-Muzzammil 74 Al-Muddaththir Al-Qiyāmah 75 Al-Insān 76 Al-Mursalāt 77 Al-Naba’ 78 Al-Nāzi‘āt 79 ‘Abasa 80 Al-Takwīr 81 Al-InfiXār 82 Al-MuXaffifīn 83 Al-Inshiqāq 84 Al-Burūj 85 Al-Vāriq 86 Al-A‘lā 87 Al-Ghāshiyah 88 Al-Fajr 89 Al-Balad 90 Al-Shams 91 Al-Layl 92 Al-Zu'a 93 Al-Inshirā' 94 Al-Tīn 95 Al-‘Alaq 96 Al-Qadr 97 Al-Bayyinah 98 Al-Zilzāl 99 Al-‘Ādiyāt 100 Al-Qāri‘ah 101 Al-Takāthur 102 Al-‘Asr 103 30 52 52 44 28 28 20 56 40 31 50 40 46 42 29 19 36 25 22 17 19 26 30 20 15 21 11 8 8 19 5 8 8 11 11 8 3 31 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com 47 48 49 50 51 52 53 54 55 56 57 Mu'ammad Al-Fat' Al-=ujurāt Qāf Al-Dhāriyāt Al-Vūr Al-Najm Al-Qamar Al-Ra'mān Al-Wāqi‘ah Al-=adīd 38 29 18 45 60 49 62 55 78 96 29 104 105 106 107 108 109 110 111 112 113 114 Al-Humaza Al-Fīl Quraysh Al-Mā‘ūn Al-Kawthar Al-Kāfirūn Al-NaYr Tabbat Al-IkhlāY Al-Falaq Al-Nās 9 5 4 7 3 6 3 5 4 5 6 List-1 As it is seen the ayat numbers of the surahs exhibit an extraordinary appearance. It is not possible to understand intuitively that there is a connection between them at first sight. Forwhy they are in an arrangement which is as dispersed as possible. Thisbookanalysestheserializationofthesurahsandthe numbers of ayats which are included in the Holy Qur’ān by numeric methods. Hence, the list hereinabove will be subject to differentmathematicalapproachesineachsectionofthisstudy. 32 OddandEvenNumbers OddandEvenNumbers Let us divide the 114 surahs which are included in the HolyQur’ānintotwosetsasoddandevennumberswithrespectto theirayatnumbers: Thesetofsurahswhichhasoddayatnumbers Thesetofsurahswhichhasoddayatnumbers numbers • • • • • • • • • • • • • • • • • • • • • • • • • • • Surah Ayat AlAl-Fāti' Fāti'a Al--En‘ām Al AlAl-Anfāl AlAl-Tawbah Yūnus Hūd Yūsuf AlAl-Ra‘d AlAl-=ijr AlAl-’Isrā Vāhā AlAl-Furqān AlAl-Shu‘arā AlAl-Naml AlAl-‘Ankabūt AlAl-A'zāb FāX FāXir Yāsīn AlAl-Zumar AlAl-Mu’min AlAl-Shūrā AlAl-Zukhruf AlAl-Dukhān AlAl-Jāthiyah Al-A'qāf AlAl-Fat' Fat' Qāf 7 165 75 129 109 123 111 43 99 111 135 77 227 93 69 73 45 83 75 85 53 89 59 37 35 29 45 XX Surah • • • • • • • • • • • • • • • • • • • • • • • • • • • AlAl-Vūr Al--Qamar Al AlAl-=adīd AlAl-Mumta' Mumta'inah AlAl-Jumu‘ah AlAl-Munāfiqūn AlAl-Insān AlAl-Takwīr AlAl-InfiX InfiXār AlAl-Inshiqāq AlAl-Vāriq AlAl-A‘lā AlAl-Shams AlAl-Layl AlAl-Zu'a AlAl-‘Alaq AlAl-Qadr AlAl-‘Ādiyāt AlAl-Qāri‘ah AlAl-‘Asr AlAl-Humaza AlAl-Fīl AlAl-Mā‘ūn AlAl-Kawthar AlAl-NaY NaYr Tabbat AlAl-Falaq Ayat Ayat 49 55 29 13 11 11 31 29 19 25 17 19 15 21 11 19 5 11 11 3 9 5 7 3 3 5 5 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com List-2 Asitcanbeseeninthelisthereinabovethetotalnumber ofthesurahswithanoddnumberofayatsis54. Thesetofsurahswhichhaseven Thesetofsurahswhichhasevenayatnu ayatnum numbers bers • • • • • • • • • • • • • • • • • • • • • • • • • • • • Surah Ayat XX AlAl-Baqarah Baqarah Āl‘Imrān Āl‘Imrān AlAl-Nisā Nisā AlAl-Māidah AlAl-A‘rāf Ibrāhīm AlAl-Na' Na'l AlAl-Kahf Maryam AlAl-Anbiyā AlAl-=ajj AlAl-Mu’minūn AlAl-Nūr AlAl-QaY QaYaY AlAl-Rūm Luqmān Al-Sajdah Saba AlAl-Taffāt Tād FuYY FuYYilat YYilat Mu' Mu'ammad AlAl-=ujurāt AlAl-Dhāriyāt AlAl-Najm AlAl-Ra' Ra'mān AlAl-Wāqi‘ah AlAl-Mujādalah 286 200 176 120 206 52 128 110 98 112 78 118 64 88 60 34 30 54 182 88 54 38 18 60 62 78 96 22 34 • • • • • • • • • • • • • • • • • • • • • • • • • • • • Surah Surah Ayat Ayat AlAl-Taghābun Taghābun AlAl-Valāq alāq AlAl-Ta' Ta'rīm rīm AlAl-Mulk AlAl-Qalam AlAl-=āqqah AlAl-Ma‘ārij Nū' Nū' AlAl-Jinn 18 12 12 30 52 52 44 28 28 20 56 40 50 40 46 42 36 22 26 30 20 8 8 8 8 8 4 6 AlAl-Muzzammil Muzzammil Al--Muddaththir Al Muddaththir AlAl-Qiyāmah AlAl-Mursalāt AlAl-Naba’ AlAl-Nāzi‘āt ‘Abasa AlAl-MuX MuXaffifīn AlAl-Burūj AlAl-Ghāshiyah AlAl-Fajr AlAl-Balad AlAl-Inshirā' Inshirā' AlAl-Tīn AlAl-Bayyinah AlAl-Zilzāl AlAl-Takāthur Quraysh AlAl-Kāfirūn Oddandevennumbers • • AlAl-=ashr AlAl-Taff 24 14 • • AlAl-IkhlāY IkhlāY AlAl-Nās 4 6 List-3 Asitcanbeseeninthelisthereinabovethetotalnumber ofthesurahswithanevennumberofayatsis60. Thetotalnumber ofsurahs 114 54 Thenumberof surahswhichhas oddayatnumbers 60 Thenumberof surahswhichhas evenayatnumbers Figure-1Thedistributionofthesurahswithrespecttoayatnumbersisseen. Thesurahswhichhavealsooddsequencenumbersin additiontooddnumberofayats additiontooddnumberofayats No. 1 9 11 13 15 17 25 27 29 33 35 39 Surah Surah Ayat AlAl-Fāti' Fāti'a AlAl-Tawbah Hūd AlAl-Ra‘d AlAl-=ijr AlAl-’Isrā AlAl-Furqān AlAl-Naml 7 129 123 43 99 111 77 93 69 73 45 75 AlAl-‘Ankabūt ‘Ankabūt AlAl-A'zāb FāX FāXir AlAl-Zumar XX No. Surah Ayat Ayat 57 Al29 Al-=adīd 63 Al Al--Munāfiqūn 11 81 Al29 Al-Takwīr 87 Al19 Al-A‘lā 91 Al15 Al-Shams 93 Al11 Al-Zu'a 97 Al5 Al-Qadr 101 Al11 Al-Qāri‘ah 103 Al3 Al-‘Asr 105 Al5 Al-Fīl 107 Al7 Al-Mā‘ūn 111 Tabbat 5 35 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com 43 45 AlAl-Zukhruf AlAl-Jāthiyah 113 89 37 AlAl-Falaq 5 List-4 Thereare27surahsinList-4 Thesurahswhichhaveoddnumberofayatsbuteven Thesurahswhichhaveoddnumberofayatsbuteven sequencenumbers sequencenumbers No. Surah 6 AlAl-En‘ām 8 AlAl-Anfāl 10 Yūnus 12 Yūsuf 20 Vāhā 26 Al Al--Shu‘arā 36 Yāsīn 40 AlAl-Mu’min 42 AlAl-Shūrā 44 AlAl-Dukhān 46 AlAl-A'qāf 48 AlAl-Fat' Fat' 50 Qāf 52 AlAl-Vūr Ayat XX 165 75 109 111 135 227 83 85 53 59 35 29 45 49 No. 54 60 62 76 82 84 86 92 96 100 104 108 110 Ayat Ayat Al55 Al-Qamar Al13 Al-Mumta' Mumta'inah Al11 Al-Jumu‘ah Al31 Al-Insān Al19 Al-InfiX InfiXār Al--Inshiqāq 25 Al AlAl-Vāriq 17 Al21 Al-Layl Al19 Al-‘Alaq Al11 Al-‘Ādiyāt Al9 Al-Humaza Al3 Al-Kawthar Al3 Al-NaY NaYr List-5 Thereare27surahsinList-5 36 Surah Oddandevennumbers Thenumberof surahswhichhas oddayatnumbers 54 27 Thenumberofsurahs whichhavealsoodd sequencenumbersin additiontooddnumber ofayats 27 Thenumberof surahswhichhave oddnumberofayats butevensequence numbers Figure-2Theequaldistributionofthesurahswhichhasoddnumberedayatsis seenwithrespecttotheirsequencenumbers. Evaluation It is very striking that such 54 surahs which give an appearance as they were extraordinarily lined up to be divided into two as 27 odds and 27 evens by being paired with sequence numbers one to one. If these 54 surahs were lined up with a consecutive arrangement, then to be divided into two as 27 odds and 27 evens with respect to their sequence numbers would be considered to be normal. In other words if such 54 surahs have constituted the first 54 surahs of the Holy Qur’an, or if they have been placed as the last 54 surahs, then to be dividable into two as 27 odds and 27 evens can be deemed as natural. It is considerably striking that such a balance to be appeared from extremely complex arrangement. In order to understand the difficulty of such balance let’s assume the case if any of the surahs of the Holy Qur’an has one missing or one additional ayat: For example if the Surah al-IkhlāY has been consisted of 4 ayats in lieu of 3 ayats? In this case the number of the surahs which have odd numbered ayats should have decreased by one and the number of surahs which have even numbered surahs should have increased by one. In other word the set hereinabove should be a set which has 53 elements. Then, aforementioned balance should have been disappeared for the reason that 53 can not be divided by two. On the other side, the number of the surahs which have odd numbered sequence numbers in such set should have been decreased to 26 from 27. This situation is valid for each surah of the Holy Qur’an. This existing balance can be completely destroyed by any minimal increment or reduction at any of them. This analysis that we made is also valid for any result henceforward. 37 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com Now, let’s examine the surahs which have odd numbered ayatswiththesameapproach. Thesurahswhichhaveeven Thesurahswhichhaveevennumberofayatsbutodd evennumberofayatsbutodd sequencenumbers sequencenumbers cenumbers No. 3 5 7 19 21 23 31 37 41 47 49 51 53 55 59 Surah Āl‘Imrān AlAl-Māidah AlAl-A‘rāf Maryam AlAl-Anbiyā AlAl-Mu’minūn Mu’minūn Luqmān Al--Taffāt Al FuYY FuYYilat YYilat Mu' Mu'ammad AlAl-=ujurāt AlAl-Dhāriyāt AlAl-Najm AlAl-Ra' Ra'mān AlAl-=ashr Ayat XX No. Surah Ayat Ayat 200 61 Al14 Al-Taff 120 65 Al12 Al-Valāq 206 67 Al30 Al-Mulk 98 69 Al52 Al-=āqqah 112 71 Nū' 28 Nū' Al--Muzzammil 118 73 Al Muzzammil 20 34 75 Al40 Al-Qiyāmah 182 77 AlMursalāt āt 50 Al-Mursal 54 79 Al46 Al-Nāzi‘āt 38 83 Al36 Al-MuX MuXaffifīn 18 85 Al22 Al-Burūj 60 89 AlAl-Fajr 30 62 95 Al8 Al-Tīn 78 99 Al8 Al-Zilzāl 24 109 Al6 Al-Kāfirūn List-6 Thereare30surahsinList-6 Thesurahswhichhavealsoeven Thesurahswhichhavealsoevensequencenumbersin evensequencenumbersin additiontoeven additiontoevennumberofayats evennumberofayats numberofayats No. 2 4 14 16 18 22 38 Surah Al-Baqarah Al-Nisā Ibrāhīm Al-Na'l Al-Kahf Al-=ajj Ayat XX No. Surah Ayat Ayat 286 66 Al-Ta'rīm 12 176 68 Al-Qalam 52 52 70 Al-Ma‘ārij 44 128 72 Al-Jinn 28 110 74 Al-Muddaththir 56 78 78 Al-Naba’ 40 Oddandevennumbers 24 28 30 32 34 38 56 58 64 Al-Nūr Al-QaYaY Al-Rūm Al-Sajdah Saba Tād Al-Wāqi‘ah Al-Mujādalah Al-Taghābun 80 88 90 94 98 102 106 112 114 64 88 60 30 54 88 96 22 18 ‘Abasa Al-Ghāshiyah Al-Balad Al-Inshirā' Al-Bayyinah Al-Takāthur Quraysh Al-IkhlāY Al-Nās 42 26 20 8 8 8 4 4 6 List-7 Thereare30surahsinList-7 Thenumberof surahswhichhas evenayatnumbers 60 30 Thenumberofsurahs whichhavealsoeven sequencenumbersin additiontoevennumber ofayats 30 Thenumberof surahswhichhave evennumberof ayatsbutodd sequencenumbers Figure-3Theequaldistributionofthesurahswhichhasevennumberedayatsis seenwithrespecttotheirsequencenumbers. Evaluation The set of the surahs with odd numbered ayats to introduce the same nature shows that the balance which is mentioned hereinabove is not only a simple balance. This situation shall strengthen our previous evaluation by two times. Let’sseetheresultswhichoutcomecollectively: 39 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com < T*1א#-:L" @א > V.UD. “AllāhhassentdownthebestStatementasa binarysymmetricbook”” (Al(Al-Zumar/23) Zumar/23) 40 Oddandevennumbers NO. SURAH AYAT ODD - ODD 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 Al-Fātiḥa Al-Baqarah Āl ‘Imrān Al-Nisā Al-Māidah Al-En‘ām Al-A‘rāf Al-Anfāl Al-Tawbah Yūnus Hūd Yūsuf Al-Ra‘d Ibrāhīm Al-Ḥijr Al-Naḥl Al-’Isrā Al-Kahf Maryam Ṭāhā Al-Anbiyā Al-Ḥajj Al-Mu’minūn Al-Nūr Al-Furqān Al-Shu‘arā Al-Naml Al-Qaṣaṣ Al-‘Ankabūt Al-Rūm Luqmān Al-Sajdah Al-Aḥzāb Saba Fāṭir Yāsīn Al-Ṣaffāt Ṣād Al-Zumar Al-Mu’min Fuṣṣilat Al-Shūrā Al-Zukhruf Al-Dukhān Al-Jāthiyah Al-Aḥqāf Muḥammad Al-Fatḥ Al-Ḥujurāt Qāf Al-Dhāriyāt Al-Ṭūr Al-Najm Al-Qamar Al-Raḥmān Al-W āqi‘ah Al-Ḥadīd Al-Mujādalah Al-Ḥashr Al-Mumtaḥinah Al-Ṣaff Al-Jumu‘ah Al-Munāfiqūn Al-Taghābun Al-Ṭalāq Al-Taḥrīm Al-Mulk Al-Qalam Al-Ḥāqqah Al-Ma‘ārij Nūḥ Al-Jinn Al-Muzzammil Al-Muddaththir Al-Qiyāmah Al-Insān Al-Mursalāt A l - N a b a’ Al-Nāzi‘āt ‘A b a s a Al-Takwīr Al-Infiṭār Al-Muṭaffifīn Al-Inshiqāq Al-Burūj Al-Ṭāriq Al-A‘lā Al-Ghāshiyah Al-Fajr Al-Balad Al-Shams Al-Layl Al-Ḍuḥa Al-Inshirāḥ Al-Tīn Al-‘Alaq Al-Qadr Al-Bayyinah Al-Z ilzāl Al-‘Ādiyāt A l - Q ā r i ‘a h Al-Takāthur A l - ‘A s r Al-Humaza Al-Fīl Quraysh Al-Mā‘ūn Al-Kawthar Al-Kāfirūn Al-Naṣr Tabbat Al-Ikhlāṣ Al-Falaq A l - N ā s 7 286 200 176 120 165 206 75 129 109 123 111 43 52 99 128 111 110 98 135 112 78 118 64 77 227 93 88 69 60 34 30 73 54 45 83 182 88 75 85 54 53 89 59 37 35 38 29 18 45 60 49 62 55 78 96 29 22 24 13 14 11 11 18 12 12 30 52 52 44 28 28 20 56 40 31 50 40 46 42 29 19 36 25 22 17 19 26 30 20 15 21 11 8 8 19 5 8 8 11 11 8 3 9 5 4 7 3 6 3 5 4 5 6 X EVEN - EVEN ODD - EVEN EVEN - ODD 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 X X X X X X s y m m e t r y o f X X X X X X 27 30 30 27 X X X X X X X a x i s X X X X X X X X X In the figure, symmetric distribution for the surahs is seen. 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 X X X X X 41 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com Thesetofsurahswhichhashomogeneousayatnumber andsequencenumber andsequencenumber Let’stakeonthesetwonumberstogetherwhichconcerna surah. Let’s make those which have even numbered surah sequence numbers and even numbered number of ayats with the oddsequencenumberedsurahsandoddnumberofayatsoneset (homogeneous); and those which have odd sequence numbered surahswhereastheirnumberofayatsareevenorwhichhaveeven numberedsurahsequencenumbersbutoddnumberedofayatsa separateset(non-homogeneous). Example for the surahs with homogeneous sequence numbersandnumberofayats: 1 Al-Fāti'a 7 Thesequencenumberandalsothenumberofayatsofthe surah of al-Fāti'a are odd numbers. Consequently, surah of alFāti'aisaahomogeneous homogeneoussurahinthissense. homogeneous 2 Al-Baqarah 286 Surah al-Baqarahisalso a homogeneoussurah.Forwhy, homogeneous its sequence number and number of ayats are even numbers, in otherwordstheyareofsametype. Exampleforthesurahsofwhichtheirsequencenumbers andnumberofayatsarenothomogeneous: 3 Āl‘Imrān 200 Surah Āl ‘Imrān is a surah which has an odd sequence numberbutanevennumberofayatnumbers.ConsequentlySurah Āl‘Imrānisasurahwhichisnothomogeneous nothomogeneousinthissense. nothomogeneous 6 42 Al-En‘ām 165 Oddandevennumbers Al-En‘āmsurahisalsoasurahwhichisnothomogeneous nothomogeneous. nothomogeneous Forwhyalthoughithasevensequencenumber,itsnumberofayats areoddnumbers;inotherwordstheyarenotofsametype. Nowlet’sseethecomponentsofthesetwosetsseparately: Thesurahsofwhichtheirsequencenumberandnumber ofayatsarehomogeneous ofayatsarehomogeneous No. Surah Ayat 1 2 4 9 11 13 14 15 16 17 18 22 24 25 27 28 29 30 32 33 34 35 38 39 43 45 Al-Fāti'a Al-Baqarah Al-Nisā Al-Tawbah Hūd Al-Ra‘d Ibrāhīm Al-=ijr Al-Na'l Al-’Isrā Al-Kahf Al-=ajj Al-Nūr Al-Furqān Al-Naml Al-QaYaY Al-‘Ankabūt Al-Rūm Al-Sajdah Al-A'zāb Saba FāXir Tād Al-Zumar Al-Zukhruf Al-Jāthiyah 7 286 176 129 123 43 52 99 128 111 110 78 64 77 93 88 69 60 30 73 54 45 88 75 89 37 No. Surah Ayat Ayat 63 Al-Munāfiqūn 64 Al-Taghābun 66 Al-Ta'rīm 68 Al-Qalam 70 Al-Ma‘ārij 72 Al-Jinn 74 Al-Muddaththir 78 Al-Naba’ 80 ‘Abasa 81 Al-Takwīr 87 Al-A‘lā 88 Al-Ghāshiyah 90 Al-Balad 91 Al-Shams 93 Al-Zu'a 94 Al-Inshirā' 97 Al-Qadr 98 Al-Bayyinah 101 Al-Qāri‘ah 102 Al-Takāthur 103 Al-‘Asr 105 Al-Fīl 106 Quraysh 107 Al-Mā‘ūn 111 Tabbat 112 Al-IkhlāY 11 18 12 52 44 28 56 40 42 29 19 26 20 15 11 8 5 8 11 8 3 5 4 7 5 4 43 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com 56 57 58 Al-Wāqi‘ah Al-=adīd Al-Mujādalah 96 29 22 113 114 Al-Falaq Al-Nās 5 6 List-8 The number of the components of this set of which is composed of surahs that have homogeneous sequence number andnumberofayatsare57. Thesurahsofwhichtheirsequencenumberandnumber ofayatsarenothomogeneous ofayatsarenothomogeneous homogeneous No. Surah Ayat 3 5 6 7 8 10 12 19 20 21 23 26 31 36 37 40 41 42 44 46 47 48 49 Āl‘Imrān Al-Māidah Al-En‘ām Al-A‘rāf Al-Anfāl Yūnus Yūsuf Maryam Vāhā Al-Anbiyā Al-Mu’minūn Al-Shu‘arā Luqmān Yāsīn Al-Taffāt Al-Mu’min FuYYilat Al-Shūrā Al-Dukhān Al-A'qāf Mu'ammad Al-Fat' Al-=ujurāt 200 120 165 206 75 109 111 98 135 112 118 227 34 83 182 85 54 53 59 35 38 29 18 44 No. Surah Ayat Ayat 59 60 61 62 65 67 69 71 73 75 76 77 79 82 83 84 85 86 89 92 95 96 99 Al-=ashr Al-Mumta'inah Al-Taff Al-Jumu‘ah Al-Valāq Al-Mulk Al-=āqqah Nū' Al-Muzzammil Al-Qiyāmah Al-Insān Al-Mursalāt Al-Nāzi‘āt Al-InfiXār Al-MuXaffifīn Al-Inshiqāq Al-Burūj Al-Vāriq Al-Fajr Al-Layl Al-Tīn Al-‘Alaq Al-Zilzāl 24 13 14 11 12 30 52 28 20 40 31 50 46 19 36 25 22 17 30 21 8 19 8 Oddandevennumbers 50 51 52 53 54 55 Qāf Al-Dhāriyāt Al-Vūr Al-Najm Al-Qamar Al-Ra'mān 45 60 49 62 55 78 100 104 108 109 110 Al-‘Ādiyāt Al-Humaza Al-Kawthar Al-Kāfirūn Al-NaYr 11 9 3 6 3 List-9 The number of the components of this set of which is composed of surahs that have non-homogeneous sequence numberandnumberofayatsare57. Consequently the Holy Qur’ān is composed halfly halfly 1 homogeneousandhalfly halflynon-homogeneoussurahs. halfly Let’sseetheresultswhichoutcomecollectively: < ++,-1#.8I<אI “Andverily,youarereceivingtheQur'ānfromtheOne,All--Wise, “Andverily,youarereceivingtheQur'ānfromtheOne,All AllAll-Knowing” Knowing” owing” (AlAl-Naml/6) ml/6) 1 Anothermethodtoseethiscaseisthis:Sequencenumbersandthenumberofayatsof the surahs are added. From the outcoming 114 numbers, even numbers and odd numbers are grouped in separate sets. It is observed that the new two sets are counterbalance. 45 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com NO. SURAH AYAT HOMOGENOUS 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 Al-Fātiḥa Al-Baqarah Āl ‘Imrān Al-Nisā Al-Māidah Al-En‘ām Al-A‘rāf Al-Anfāl Al-Tawbah Yūnus Hūd Yūsuf Al-Ra‘d Ibrāhīm Al-Ḥijr Al-Naḥl Al-’Isrā Al-Kahf Maryam Ṭāhā Al-Anbiyā Al-Ḥajj Al-Mu’minūn Al-Nūr Al-Furqān Al-Shu‘arā Al-Naml Al-Qaṣaṣ Al-‘Ankabūt Al-Rūm Luqmān Al-Sajdah Al-Aḥzāb Saba Fāṭir Yāsīn Al-Ṣaffāt Ṣād Al-Zumar Al-Mu’min Fuṣṣilat Al-Shūrā Al-Zukhruf Al-Dukhān Al-Jāthiyah Al-Aḥqāf Muḥammad Al-Fatḥ Al-Ḥujurāt Qāf Al-Dhāriyāt Al-Ṭūr Al-Najm Al-Qamar Al-Raḥmān Al-W āqi‘ah Al-Ḥadīd Al-Mujādalah Al-Ḥashr Al-Mumtaḥinah Al-Ṣaff Al-Jumu‘ah Al-Munāfiqūn Al-Taghābun Al-Ṭalāq Al-Taḥrīm Al-Mulk Al-Qalam Al-Ḥāqqah Al-Ma‘ārij Nūḥ Al-Jinn Al-Muzzammil Al-Muddaththir Al-Qiyāmah Al-Insān Al-Mursalāt A l - N a b a’ Al-Nāzi‘āt ‘A b a s a Al-Takwīr Al-Infiṭār Al-Muṭaffifīn Al-Inshiqāq Al-Burūj Al-Ṭāriq Al-A‘lā Al-Ghāshiyah Al-Fajr Al-Balad Al-Shams Al-Layl Al-Ḍuḥa Al-Inshirāḥ Al-Tīn Al-‘Alaq Al-Qadr Al-Bayyinah Al-Z ilzāl Al-‘Ādiyāt A l - Q ā r i ‘a h Al-Takāthur A l - ‘A s r Al-Humaza Al-Fīl Quraysh Al-Mā‘ūn Al-Kawthar Al-Kāfirūn Al-Naṣr Tabbat Al-Ikhlāṣ Al-Falaq A l - N ā s 7 286 200 176 120 165 206 75 129 109 123 111 43 52 99 128 111 110 98 135 112 78 118 64 77 227 93 88 69 60 34 30 73 54 45 83 182 88 75 85 54 53 89 59 37 35 38 29 18 45 60 49 62 55 78 96 29 22 24 13 14 11 11 18 12 12 30 52 52 44 28 28 20 56 40 31 50 40 46 42 29 19 36 25 22 17 19 26 30 20 15 21 11 8 8 19 5 8 8 11 11 8 3 9 5 4 7 3 6 3 5 4 5 6 X X 46 NON-HOMOGENOUS 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 X X X X X X X X X X X a x i s o f s y m m e t r y 57 57 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 In the figure, equal distribution of the homogenous and non-homogenous surahs is shown. 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 Oddandevennumbers Evaluation It shows how the balance that we have mentioned hereinabove was constructed by fine tuning when we take into consideration that the number of the components of the sets of which have homogeneous sequence numbers and number of ayats and the sets of which have non-homogeneous sequence numbers and number of ayats. This situation does not give any space for any doubt that the sequence numbers of the surahs and the number of ayats are the parts of the same system. Nowlet’sexaminewhatkindofdistributiondothesetof homogeneoussurahsandsetofnon-homogeneoussurahsexhibit when just the middle of the Holy Qur’ān is taken as reference. Thereare114surahsintheHolyQur’ān.Ifwedivideitintotwo equalpartsjustfromthemiddle,thesurahsfrom1to57shallbe includedinthefirstmiddlewhereasthesurahsfrom58to114shall beincludedinthesecondhalf. Thesurahswhichhavehomogeneous Thesurahswhichhavehomogeneoussequencenumber homogeneoussequencenumber andnumberofayatsandwhichareincludedinthefirst andnumberofayatsandwhichareincludedinthefirst halfoftheHolyQur’ān halfoftheHolyQur’ān. Qur’ān. No. Surah Ayat 1 2 4 9 11 13 14 15 16 17 18 22 24 Al-Fāti'a Al-Baqarah Al-Nisā Al-Tawbah Hūd Al-Ra‘d Ibrāhīm Al-=ijr Al-Na'l Al-’Isrā Al-Kahf Al-=ajj Al-Nūr 7 286 176 129 123 43 52 99 128 111 110 78 64 No. Surah Ayat Ayat 27 28 29 30 32 33 34 35 38 39 43 45 56 Al-Naml Al-QaYaY Al-‘Ankabūt Al-Rūm Al-Sajdah Al-A'zāb Saba FāXir Tād Al-Zumar Al-Zukhruf Al-Jāthiyah Al-Wāqi‘ah 93 88 69 60 30 73 54 45 88 75 89 37 96 47 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com 25 Al-Furqān 77 57 Al-=adīd 29 List-10 Thereare28 28surahsinList-10 28 Thesurahswhichhavehomogeneous Thesurahswhichhavehomogeneoussequencenumber homogeneoussequencenumber andnumberofayatsandwhichareincludedinthe secondhalfoftheHolyQur’ān secondhalfoftheHolyQur’ān. Qur’ān. No. Surah Ayat 58 63 64 66 68 70 72 74 78 80 81 87 88 90 91 Al-Mujādalah Al-Munāfiqūn Al-Taghābun Al-Ta'rīm Al-Qalam Al-Ma‘ārij Al-Jinn Al-Muddaththir Al-Naba’ ‘Abasa Al-Takwīr Al-A‘lā Al-Ghāshiyah Al-Balad Al-Shams 22 11 18 12 52 44 28 56 40 42 29 19 26 20 15 No. 48 Ayat Ayat 93 Al-Zu'a 11 94 Al-Inshirā' 8 97 Al-Qadr 5 98 Al-Bayyinah 8 101 Al-Qāri‘ah 11 102 Al-Takāthur 8 103 Al-‘Asr 3 105 Al-Fīl 5 106 Quraysh 4 107 Al-Mā‘ūn 7 111 Tabbat 5 112 Al-IkhlāY 4 113 Al-Falaq 5 114 Al-Nās 6 List-11 Thereare29 29surahsinList-11 29 Surah Oddandevennumbers Homogenoussurahs 57 29 28 Thenumberof homogenoussurahs whichareincluded inthefirsthalfof theHolyQur'ān Thenumberof homogenoussurahs whichareincludedin thesecondhalfofthe HolyQur'ān Figure-4Thedistributionofthehomogeneoussurahsisseen. ThesurahswhichhavenonThesurahswhichhavenon-homogeneoussequence homogeneoussequence numberandnumberofayatsandwhichareincludedin thefirsthalfoftheHolyQur’ān thefirsthalfoftheHolyQur’ān Qur’ān No. Surah Ayat 3 5 6 7 8 10 12 19 20 21 23 26 31 36 37 Āl‘Imrān Al-Māidah Al-En‘ām Al-A‘rāf Al-Anfāl Yūnus Yūsuf Maryam Vāhā Al-Anbiyā Al-Mu’minūn Al-Shu‘arā Luqmān Yāsīn Al-Taffāt 200 120 165 206 75 109 111 98 135 112 118 227 34 83 182 No. 40 41 42 44 46 47 48 49 50 51 52 53 54 55 Surah Ayat Ayat Al-Mu’min 85 FuYYilat 54 Al-Shūrā 53 Al-Dukhān 59 Al-A'qāf 35 Mu'ammad 38 Al-Fat' 29 Al-=ujurāt 18 Qāf 45 Al-Dhāriyāt 60 Al-Vūr 49 Al-Najm 62 Al-Qamar 55 Al-Ra'mān 78 49 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com List-12 Thereare29 29surahsinList-12 29 Thesurahswhichhavenon Thesurahswhichhavenonwhichhavenon-homogeneoussequence homogeneoussequence numberandnumberofayatsandwhichareincludedin thesecond thesecondhalfoftheHoly secondhalfoftheHolyQur’ān halfoftheHolyQur’ān Qur’ān No. Surah Ayat 59 60 61 62 65 67 69 71 73 75 76 77 79 82 Al-=ashr Al-Mumta'inah Al-Taff Al-Jumu‘ah Al-Valāq Al-Mulk Al-=āqqah Nū' Al-Muzzammil Al-Qiyāmah Al-Insān Al-Mursalāt Al-Nāzi‘āt Al-InfiXār 24 13 14 11 12 30 52 28 20 40 31 50 46 19 No. 83 Al-MuXaffifīn 84 Al-Inshiqāq 85 Al-Burūj 86 Al-Vāriq 89 Al-Fajr 92 Al-Layl 95 Al-Tīn 96 Al-‘Alaq 99 Al-Zilzāl 100 Al-‘Ādiyāt 104 Al-Humaza 108 Al-Kawthar 109 Al-Kāfirūn 110 Al-NaYr List-13 Thereare28 28surahsinList-13 28 50 Surah Ayat Ayat 36 25 22 17 30 21 8 19 8 11 9 3 6 3 Oddandevennumbers Non-homogenoussurahs 57 28 Thenumberofnonhomogenoussurahs whichareincluded inthefirsthalfof theHolyQur'ān 29 Thenumberofnonhomogenoussurahs whichareincludedin thesecondhalfofthe HolyQur'ān Figure-5Thedistributionofthenon-homogeneoussurahsisseen. Let’sseetheresultswhichoutcomecollectively: < K1'<L" :E!@א19א F[\;,א “AllthepraisesandthanksbetoAllāh AllthepraisesandthanksbetoAllāh,WhohassentdowntoHis Allāh,WhohassentdowntoHis slavetheBook,andhasnotplacedtherein ” slavetheBook,andhasnotplacedthereinanycrookedness edtherein (Al(Al-Kahf/1) Kahf/1) 51 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com NO. SURAH AYAT HOMOGENOUS 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 Al-Fātiḥa Al-Baqarah Āl ‘Imrān Al-Nisā Al-Māidah Al-En‘ām Al-A‘rāf Al-Anfāl Al-Tawbah Yūnus Hūd Yūsuf Al-Ra‘d Ibrāhīm Al-Ḥijr Al-Naḥl Al-’Isrā Al-Kahf Maryam Ṭāhā Al-Anbiyā Al-Ḥajj Al-Mu’minūn Al-Nūr Al-Furqān Al-Shu‘arā Al-Naml Al-Qaṣaṣ Al-‘Ankabūt Al-Rūm Luqmān Al-Sajdah Al-Aḥzāb Saba Fāṭir Yāsīn Al-Ṣaffāt Ṣād Al-Zumar Al-Mu’min Fuṣṣilat Al-Shūrā Al-Zukhruf Al-Dukhān Al-Jāthiyah Al-Aḥqāf Muḥammad Al-Fatḥ Al-Ḥujurāt Qāf Al-Dhāriyāt Al-Ṭūr Al-Najm Al-Qamar Al-Raḥmān Al-W āqi‘ah Al-Ḥadīd 7 286 200 176 120 165 206 75 129 109 123 111 43 52 99 128 111 110 98 135 112 78 118 64 77 227 93 88 69 60 34 30 73 54 45 83 182 88 75 85 54 53 89 59 37 35 38 29 18 45 60 49 62 55 78 96 29 X X X X X X X X X X X X X X X X 28 29 X X X X X X X X X X X X X X X X X X X X X X 52 22 24 13 14 11 11 18 12 12 30 52 52 44 28 28 20 56 40 31 50 40 46 42 29 19 36 25 22 17 19 26 30 20 15 21 11 8 8 19 5 8 8 11 11 8 3 9 5 4 7 3 6 3 5 4 5 6 s y m m e t r y X axis Al-Mujādalah Al-Ḥashr Al-Mumtaḥinah Al-Ṣaff Al-Jumu‘ah Al-Munāfiqūn Al-Taghābun Al-Ṭalāq Al-Taḥrīm Al-Mulk Al-Qalam Al-Ḥāqqah Al-Ma‘ārij Nūḥ Al-Jinn Al-Muzzammil Al-Muddaththir Al-Qiyāmah Al-Insān Al-Mursalāt A l - N a b a’ Al-Nāzi‘āt ‘A b a s a Al-Takwīr Al-Infiṭār Al-Muṭaffifīn Al-Inshiqāq Al-Burūj Al-Ṭāriq Al-A‘lā Al-Ghāshiyah Al-Fajr Al-Balad Al-Shams Al-Layl Al-Ḍuḥa Al-Inshirāḥ Al-Tīn Al-‘Alaq Al-Qadr Al-Bayyinah Al-Z ilzāl Al-‘Ādiyāt A l - Q ā r i ‘a h Al-Takāthur A l - ‘A s r Al-Humaza Al-Fīl Quraysh Al-Mā‘ūn Al-Kawthar Al-Kāfirūn Al-Naṣr Tabbat Al-Ikhlāṣ Al-Falaq A l - N ā s of X X o f symmetry 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 29 28 X X X X X X X X X X X X X X X X X In the figure, symmetric distribution of the homogenous and non-homogenous surahs to the first and second half of the Qur'an is shown. X X X X X X a x i s 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 NON-HOMOGENOUS X X X X X X X X X X X X X X X X X X Oddandevennumbers We shall discuss an inconceivable situation which points outthenumericconnectionbetweenthesetwonumberlinesatthe endofouranalysiswithinthecontextofoddandevennumbers.In ordertoobservethisbeforeallelselet’sdefinetwosets: Set of surahs of which the total sum of sequence numbers and number of ayats is an odd number Set of surahs of which the total sum of sequence numbers and number of ayats is an even number Setofsurahsofwhichthetotalsumofsequence Setofsurahsofwhichthetotalsumofsequence numbersandnumberofayatsisanoddnumber numbersandnumberofayatsisanoddnumber Surah No.+ No.+Ayat Āl‘Imrān Al-Māidah Al-En‘ām Al-A‘rāf Al-Anfāl Yūnus Yūsuf Maryam Vāhā Al-Anbiyā Al-Mu’minūn Al-Shu‘arā Luqmān Yāsīn Al-Taffāt Al-Mu’min FuYYilat Al-Shūrā Al-Dukhān Al-A'qāf 203 125 171 213 83 119 123 117 155 133 141 253 65 119 219 125 95 95 103 81 Surah Al-=ashr Al-Mumta'inah Al-Taff Al-Jumu‘ah Al-Valāq Al-Mulk Al-=āqqah Nū' Al-Muzzammil Al-Qiyāmah Al-Insān Al-Mursalāt Al-Nāzi‘āt Al-InfiXār Al-MuXaffifīn Al-Inshiqāq Al-Burūj Al-Vāriq Al-Fajr Al-Layl No.+ No.+Ayat Ayat 83 73 75 73 77 97 121 99 93 115 107 127 125 101 119 109 107 103 119 113 53 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com Mu'ammad Al-Fat' Al-=ujurāt Qāf Al-Dhāriyāt Al-Vūr Al-Najm Al-Qamar Al-Ra'mān 85 77 67 95 111 101 115 109 133 Al-Tīn Al-‘Alaq Al-Zilzāl Al-‘Ādiyāt Al-Humaza Al-Kawthar Al-Kāfirūn Al-NaYr 103 115 107 111 113 111 115 113 List-14 Thenumberofthecomponentsofthissetis57. The total sum of the sequence numbers and number of ayatsinthisset: 203+125+171+213+83+119+123+117+ 155+133+141+253+65+119+219+125+95+95 +103+81+85+77+67+95+111+101+115+109 +133+83+73+75+73+77+97+121+99+93+ 115+107+127+125+101+119+109+107+103+ 119+113+103+115+107+111+113+111+115+ 113=6555 6555 6555 Atthispoint,let’srememberthetotalsumofthesequence numbersofthesurahswhichareincludedintheHolyQur’ān: 1+2+3+4+5+6+7+8+9+10+11+12+ 13+14+15+16+17+18+19+20+21+22+23+ 24+25+26+27+28+29+30+31+32+33+34+ 35+36+37+38+39+40+41+42+43+44+45+ 46+47+48+49+50+51+52+53+54+55+56+ 57+58+59+60+61+62+63+64+65+66+67+ 68+69+70+71+72+73+74+75+76+77+78+ 79+80+81+82+83+84+85+86+87+88+89+ 90+91+92+93+94+95+96+97+98+99+100+ 101+102+103+104+105+106+107+108+109+ 110+111+112+113+114=6555 6555 6555 Evaluation 54 Oddandevennumbers Without any comment! Setofsurahsofwhichthetotalsumofsequence numbersandnumberofayatsisaneven numbersandnumberofayatsisanevennumber evennumber number Surah Al-Fāti'a Al-Baqarah Al-Nisā Al-Tawbah Hūd Al-Ra‘d Ibrāhīm Al-=ijr Al-Na'l Al-’Isrā Al-Kahf Al-=ajj Al-Nūr Al-Furqān Al-Naml Al-QaYaY Al-‘Ankabūt Al-Rūm Al-Sajdah Al-A'zāb Saba FāXir Tād Al-Zumar Al-Zukhruf Al-Jāthiyah Al-Wāqi‘ah Al-=adīd Al-Mujādalah No.+ No.+Ayat XXX 8 288 180 138 134 56 66 114 144 128 128 100 88 102 120 116 98 90 62 106 88 80 126 114 132 82 152 86 80 Surah No.+ No.+Ayat Ayat Al-Munāfiqūn Al-Taghābun Al-Ta'rīm Al-Qalam Al-Ma‘ārij Al-Jinn 74 82 78 120 114 100 130 118 122 110 106 114 110 106 104 102 102 106 112 110 106 110 110 114 116 116 118 120 Al-Muddaththir Al-Naba’ ‘Abasa Al-Takwīr Al-A‘lā Al-Ghāshiyah Al-Balad Al-Shams Al-Zu'a Al-Inshirā' Al-Qadr Al-Bayyinah Al-Qāri‘ah Al-Takāthur Al-‘Asr Al-Fīl Quraysh Al-Mā‘ūn Tabbat Al-IkhlāY Al-Falaq Al-Nās List-15 Thenumberofthecomponentsofthissetis57. 55 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com The total sum of the sequence numbers and number of ayatsinthisset: 8+288+180+138+134+56+66+114+144 +128+128+100+88+102+120+116+98+90+62 +106+88+80+126+114+132+82+152+86+80 +74+82+78+120+114+100+130+118+122+ 110+106+114+110+106+104+102+102+106+ 112+110+106+110+110+114+116+116+118+ 120=6236 6236 6236 Atthispoint,let’srememberthetotalsumofthenumber ofayatsofthesurahsintheHolyQur’ān: 7+286+200+176+120+165+206+75+ 129+109+123+111+43+52+99+128+111+ 110+98+135+112+78+118+64+77+227+ 93+88+69+60+34+30+73+54+45+83+ 182+88+75+85+54+53+89+59+37+35+ 38+29+18+45+60+49+62+55+78+96+ 29+22+24+13+14+11+11+18+12+12+ 30+52+52+44+28+28+20+56+40+31+ 50+40+46+42+29+19+36+25+22+17+ 19+26+30+20+15+21+11+8+8+19+5+ 8+8+11+11+8+3+9+5+4+7+3+6+3 +5+4+5+6=6236 6236 6236 Evaluation Such a situation is a fabulous clue which indicates that such numeric arrangements harbor magnificent connections in its interior. It is clear that such numerical structure can not be explained by coincidences when it is analyzed by a mathematical view. There should be an authority, a power which determines this complex structure. It shall be an imaginary approach to think that the people who lived 14 centuries ago had realized such a numerical structure also on an index. A human being is obliged to realize one of the two cases below against this panorama. 56 Oddandevennumbers Firstly, he/she shall allege that are mistakes in the calculations and shall prove such allegation. He/she surrenders. Let’sseetheresultswhichoutcomecollectively: < +," :1I ؟I(^:+ P “Indeed,Wehavesentdownfor Indeed,Wehavesentdownforyou ,in Indeed,WehavesentdownforyouaBook,in you whichthereisDhikrukum,(yourReminder).Will younotthenunderstand?” younotthenunderstand? (Al AlAl-Anbiyā/10) Anbiyā/10 57 BinarySymmetricBook dr.eng.halisaydemir www.symmetricbook.com 58 (NO. + AYAT) EVEN (NO. + AYAT) ODD 8 288 203 180 125 171 213 83 138 119 134 123 56 66 114 144 128 128 117 155 133 100 141 88 102 253 120 116 98 90 65 62 106 88 80 119 219 126 114 132 152 86 80 a x i s o f s y m m e t r y 82 74 82 78 120 114 100 125 95 95 103 81 85 77 67 95 111 101 115 109 133 83 73 75 73 77 97 121 99 In the figure, the bilateral symmetric structure of the Qur'an is shown. 7 286 200 176 120 165 206 75 129 109 123 111 43 52 99 128 111 110 98 135 112 78 118 64 77 227 93 88 69 60 34 30 73 54 45 83 182 88 75 85 54 53 89 59 37 35 38 29 18 45 60 49 62 55 78 96 29 22 24 13 14 11 11 18 12 12 30 52 52 44 28 28 20 56 40 31 50 40 46 42 29 19 36 25 22 17 19 26 30 20 15 21 11 8 8 19 5 8 8 11 11 8 3 9 5 4 7 3 6 3 5 4 5 6 6555 AYAT Al-Fātiḥa Al-Baqarah Āl ‘Imrān Al-Nisā Al-Māidah Al-En‘ām Al-A‘rāf Al-Anfāl Al-Tawbah Yūnus Hūd Yūsuf Al-Ra‘d Ibrāhīm Al-Ḥijr Al-Naḥl Al-’Isrā Al-Kahf Maryam Ṭāhā Al-Anbiyā Al-Ḥajj Al-Mu’minūn Al-Nūr Al-Furqān Al-Shu‘arā Al-Naml Al-Qaṣaṣ Al-‘Ankabūt Al-Rūm Luqmān Al-Sajdah Al-Aḥzāb Saba Fāṭir Yās īn Al-Ṣaffāt Ṣād Al-Zumar Al-Mu’min Fuṣṣilat Al-Shūrā Al-Zukhruf Al-Dukhān Al-Jāthiyah Al-Aḥqāf Muḥammad Al-Fatḥ Al-Ḥujurāt Qāf Al-Dhāriyāt Al-Ṭūr Al-Najm Al-Qamar Al-Raḥmān Al-W āqi‘ah Al-Ḥadīd Al-Mujādalah Al-Ḥashr Al-Mumtaḥinah Al-Ṣaff Al-Jumu‘ah Al-Munāfiqūn Al-Taghābun Al-Ṭalāq Al-Taḥrīm Al-Mulk Al-Qalam Al-Ḥāqqah Al-Ma‘ārij Nūḥ Al-Jinn Al-Muzzamm il Al-Muddaththir Al-Qiyāmah Al-Insān Al-Mursalāt A l - N a b a’ Al-Nāzi‘āt ‘A b a s a Al-Takwīr Al-Infiṭār Al-Muṭaffifīn Al-Inshiqāq Al-Burūj Al-Ṭāriq Al-A‘lā Al-Ghāshiyah Al-Fajr Al-Balad Al-Shams Al-Layl Al-Ḍuḥa Al-Inshirāḥ Al-Tīn Al-‘Alaq Al-Qadr Al-Bayyinah Al-Zilzāl Al-‘Ādiyāt A l - Q ā r i ‘a h Al-Takāthur A l - ‘A s r Al-Humaza Al-Fīl Quraysh Al-Mā‘ūn Al-Kawthar Al-Kāfirūn Al-Naṣr Tabbat Al-Ikhlāṣ Al-Falaq A l - N ā s 6236 6236 SURAH 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 6555 NO. 93 130 115 107 127 118 125 122 110 101 119 109 107 103 106 114 119 110 106 113 104 102 103 115 102 106 107 111 112 110 106 113 110 110 114 111 115 113 116 116 118 120 Oddandevennumbers < 2'=-</ “AndSufficientareWeasaReckoner” AndSufficientareWeasaReckoner” (Al(Al-Anbiyā/47) Anbiyā/47) 59
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