81. Pi - Wikipedia 1844, zacharias dase ir Strassnitzky, 200 skaitmenu. 1847, Thomas Clausen,248 skaitmenys. 1853, Lehmann, 261 skaitmuo. 1853, Rutherford, 440 skaitmenu http://lt.wikipedia.org/wiki/Pi

Pi Straipsnis iÅ¡ Vikipedijos, laisvosios enciklopedijos. Å io straipsnio pavadinimas nėra tikslus dėl techninių apribojimų. Tikslus pavadinimas - Graikų abėcėlės raidė pi (kartais raÅ¡oma " pi matematinė konstanta , plačiai naudojama matematikoje ir fizikoje . Euklido geometrijoje π naudojama apskritimo perimetrui bei plotui paskaičiuoti. Daugumoje naujesnių knygų π analitiÅ¡kai apibrėžiama trigonometrinėims funkcijomis , t.y. kaip mažiausiÄ teigiamÄ x , kuriam sin( x π yra iracionalus skaičius , taip pat nenustatyta ar yra kokia nors seka jo užraÅ¡ymui, apytikslė Å¡io skaičiaus reikÅ¡mė yra: Tikslesnę π iÅ¡raiÅ¡kÄ galima rasti - 1000 pi skaitmenų 10 000 skaitmenų 100 000 skaitmenų ir 1 000 000 skaitmenų Turinys Savybės Formulės su π Geometrija Analizė ... taisyti Savybės Pi yra iracionalusis skaičius , tai yra negali bÅ«ti užraÅ¡ytas kaip dviejų sveikųjų skaičių santykis. Tai metais įrodė Johanas Heinrichas Lambertas Johann Heinrich Lambert metais įrodyta, kad skaičius yra transcendentinis, tai yra neegzistuoja toks polinomas su racionaliais koeficientais, kurio Å¡aknis bÅ«tų π. Tuo pačiu neįmanoma iÅ¡reikÅ¡ti π reikÅ¡mės naudojant baigtinį kiekį sveikų ir racionalių skaičių bei jų Å¡aknų. Tai reiÅ¡kia, kad neįmanoma naudojant liniuotę ir skriestuvÄ nupieÅ¡ti kvadrato, kurio plotas bÅ«tų lygus duoto apskritimo plotui.

82. WhoWasThere Reply zacharias dase was 36 this year and would die the following year. Johann Balmerwas 35 this year and would die in a further 38 years. http://www-history.mcs.st-and.ac.uk/history/cgi-bin/mathyear.cgi?YEAR=1860

83. Meningar.com Om Dase. Dase, NIST, Home Mm. Johann Martin zacharias dase Born 1824 in Hamburg, Germany Died 1861 Show birthplacelocation Previous (Chronologically) Next Biographies Index Previous http://www.meningar.com/dase.html

Hem Index Senaste Populäraste Meningar.com - Ett annorlunda sätt att söka på nätet... Ställ en fråga om dase Alla frågor om dase Meningar.com om dase Titel: NIST DASE Home ... The NIST DASE PAE API prototype implementation is intended as a tool to (1) demonstrate proof of concept of the DASE standard, (2) provide the impetus for conformance testing, (3) aid the design and development of other DASE implementations, and (4) prov.. Källa : http://www.dase.nist.gov/ Titel: DASE - OneLook Dictionary Search ...com [home, info] Dase : Online Plain Text English Dictionary [home, info] dase : Webster's Revised Unabridged, 1913 Edition [home, info] Dase : Rhymezone [home, info] Dase : AllWords... Källa : http://www.onelook.com/cgi-bin/cgiwrap/bware/dofind.cgi?word=DASE Titel: Dase History ... Dase History The History of Dase k'al Daven         Dase k'al Daven was born in the peaceful community of Testa, shared by both elves and humans and nestled in the Vestic Forest between the region of Burmood and the vast area of the Dark... Källa : http://carbon.cudenver.edu/~tbohlen/DaseHistory.htm

84. TaQ's Personal Site - Geek Translate this page Esse era doido Joham Marin zacharias dase, filho de um agricultor analfabeto,que viveu entre 1824 e 1861, na Alemanha, multiplicava mentalmente dois http://200.211.78.140/taq/geek.php

Bem vindo ao site do TaQ Meu email: eustaquiorangel@yahoo.com Seu browser: Esse site: http://beam.to/taq/ Seu sistema operacional: Meu UINr: Mande um email. :-p Sua resolução: Chave pública: Sua taxa de software livre: Inicial Sobre mim Geek Música ... Blog Geek Meus projetos Linux Java ™ Dos/Windows 95/98/ME ... Links geek Meus projetos PHPReports   - Gerador de relatórios web, feito em PHP SlackCurrent   - Atualizador de pacotes para o Slackware GNURP   - Grupo de usuários de Software Livre de São José do Rio Preto e região Tutorial de Ruby   - Um tutorial bastante completo dessa ótima linguagem volta ao topo Linux Mono, mais uma chance para o Monopólio? Minha migração para o kernel 2.6 Instalando temas GTK Configurando um monitor Philips 104S ... volta ao topo Java ™ Classes singleton   - uma instância de objeto para cada VM Access 97 Quebra-senha   - Código para quebrar senha de arquivos do Access 97 volta ao topo Dos/Windows 95/98/ME Registro do windows   - Problemas com o registro? Dê uma olhadinha aqui. volta ao topo Web Sites somente para o Internet Explorer   - Falta de competência ou conchavo com a Microsoft?

85. TurkNuke Groups Kisisel Bilgiler zacharias. Kullanici Adiniz, zacharias. Gerçek Isminiz, zachariasDase. Email, Belirtilmemis. Web Sitesi, Belirtilmemis. ICQ Numarasi, http://www.turknuke.gen.tr/modules.php?name=Your_Account&op=userinfo&username=Za

86. Mathematic Historic Style % % This File Is Based On A Table Of \born 1845, \died 1912} } \newcommand{\dase}{{\sc dase}\footnote{{\sc Zachariasdase}, \born 1824, \died 1861} } \newcommand{\Davenport}{{\sc http://www.tug.org/tex-archive/macros/latex/contrib/mhs/mhs.sty

87. Musterungen 1623: 20. Peitz Translate this page Georg Schillingk, Paul Ladisch, Hans Naticius, Gregorius Nyprasch, BartelDase, Merten Hoffmann, zacharias Hoffman, Augustinus Golse, Valentin Rabbeltt, http://www.genealogienetz.de/reg/BRG/neumark/Cottbus/m16_peit.htm

From: Gerd Schmerse 20. Peitz Dr. Gerd C. Schmerse document.write("["+document.lastModified+"]")

88. User:Gerritholl/mathematicians - Wikipedia, The Free Encyclopedia van Dantzig George Dantzig - Gaston Darboux - George Darwin - ZachariasDase - Ingrid Daubechies - Harold Davenport - Florence David - August Davidov http://en.wikipedia.org/wiki/User:Gerritholl/mathematicians

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$145,000 has been donated since the drive began on 19 August. Thank you for your generosity! User:Gerritholl/mathematicians From Wikipedia, the free encyclopedia. User:Gerritholl edit Mathematicians Ernst Abbe Niels Henrik Abel Abraham bar Hiyya Max Abraham ... Antoni Zygmund Retrieved from " http://en.wikipedia.org/wiki/User:Gerritholl/mathematicians Views User page Discussion Edit this page History Personal tools Create account / log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 01:33, 19 August 2005. All text is available under the terms of the GNU Free Documentation License (see for details). About Wikipedia

89. "Borderlands Of Science" - Lost Skills Jedediah Buxton, George Parker Bidder, Truman Henry Safford, and Johann ZachariasDase were calculating wizards who routinely multiplied together in their http://fenrir.com/free_stuff/columns/science/sci-111.htm

Have You Seen Me? Columns Call the Cops! Cottonwood Cove Dirty Little Secrets Borderlands of Science Tangled Webb History Buffs Tips, Techniques Tradeshows ... E-mail Webmaster "Lost Skills" On the last day of 2001, I have been sending thank-you notes. These, for reasons of etiquette that my wife understands but I do not, cannot be typed or generated using a word processor; like letters of condolence, they must be hand-written. That my handwriting over the years has, from lack of use, become cramped and crabbed and illegible to the point where I can barely read it myself is irrelevant. Good luck to the recipients, forced to decipher my script that they see only once a year. However, I could once write clearly. The proof is available to me, in the form of old correspondence and notes. I wonder about the rising generation, for whom writing with pen and paper may seem as archaic a form of communication as inscribing on clay tablets. I am also led to ponder other obsolete skills. If calligraphy has become a specialist subject taught in art classes, mental arithmetic is even more of a lost cause. It is not, to my knowledge, taught anywhere at all. I watch and disapprove as my daughter uses an electronic calculator to multiply three and a half by two, while at the same time I recall my parents, who casually checked grocery bills in their heads. They did not consider themselves in any way exceptional. The ability to perform simple arithmetic, written and mental, was taken for granted fifty years ago. To make a stir, you had to possess some truly phenomenal calculating ability.

90. Ãö©ó¶ê©P²v£k (²Ä 5 ­¶) The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://episte.math.ntu.edu.tw/articles/mm/mm_13_3_05/page5.html

¢x ¢x ¢x ¢x ö©ó¶ê©P²v£k §E¤å­ë ·j´M ¡D­ì¸ü©ó¼Æ¾Ç¶Ç¼½²Ä¤Q¤T¨÷²Ä¤T´Á ¡E ¹ï¥~·j´MöÁä¦r 5. £kªº¼Æ­È­pºâªº¾ú¥v(¦è¤è) ¦Ó­pºâ £k ­È¥¿½T¨ì²Ä¤E¦ì¡C¦ý¦P¤@¦~¡AAdriaen van Rooman¡]1561¡ã1615¡^§Q¥Î (=1,073,741,824) ä§Î¦Ó­pºâ¨ì²Ä15¦ì¡C¤T¦~«á¡A³o¬ö¿ý¤S¥t¤@²üÄõ¤H Ludolph van Geuleu¡]1539¡ã1610¡^¡A¥L¬O Leyden ¤j¾Çªº¼Æ¾Ç»P­x¨Æ¾Ç±Ð±Â¡C¦b¥Lªº¤@½g½×¤å¤¤¡A¥L¨Ï¥Î 60 x 2 ä§Î¦Ó±o¥X 20 ¦ì¼Æ¡A¦b1615¦~¥L¦º«á¤~µoªíªº½×¤å¤¤¡A§ó­pºâ¨ì35¦ì¼Æ¡C 1844¦~¡AJohann Martin Zacharias Dase¡]1824¡ã1861¡^§Q¥Î ¤Q¤K¥@¬ö»P¤Q¤E¥@¬ö´Á¶¡¡A­pºâ£k­Èªº±À¶i¤è¦¡¬O¥H¤Q¡B¦Ê¨Ó­p¡A¦Ó¶i¤J¤G¤Q¥@¬öªº­pºâ¾÷®É¥N¡A«h±À¶i¤è¦¡¡A«h¥H¤d¡B¸U¨Ó­p¡A¨ì1983¦~¬°¤î¡A¤w­pºâ£kªº­È¨ì16,000,000¦ì¡A¦Ó­pºâ©Ò¥Î®É¶¡¦pªí1©Ò¥Ü¡C ªí1 ÁÚ¤J­pºâ¾÷®É¥N¡A¹ï©ó£kªº­pºâ ¨C¦ì­pºâ®É¶¡ 70¤p®É 8.43¤p®É 23.3¤p®É 1.W.W.Rouse Ball and H.S.M. Coxeter, Mathemaical Recreations and Esays. 2.Peter Beckmann, A history of £k 3.H.B. Griffths and P.J. Hilton, Classical Mathematics. 4.Encylopedic Dictionary of Mathematics, The MIT Press. 5.The Mathematical Intelligencer,vol 7,No.3,1985. ¢x ¢x ¢x ¢x ¡]­Y¦³«ü¥¿¡Bº°Ý¡K¡K¡A¥i¥H¦b¦¹ ¯d¨¥ ¼g«H µ¹§Ú­Ì¡C¡^ ¦Uºô­¶¤å³¹¤º®e¤§µÛ§@Åv¬°­ìµÛ§@¤H©Ò¦³ ½s¿è¡G¦¶¦w±j

91. Dokusaku3 Translate this page The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set. http://www.fit.ac.jp/~y-tanaka/dokusaku-new/dokusakubun3.htm

“ƍ앶‰‰K iã‹‰ji —j“ú‚VE‚WŽžŒÀj ŽRŒû‘åŠw•¶—Šw•”•¶Šw‰È“Æ•¶êUA‚P‚X‚U‚U”N“xŒãŠú-‚P‚X‚U‚V”N“x‘OŠú j”M‘Ñ’n•û‚Å‚ÍŒŽ‚ÌŒõ‚ª”ñí‚É–¾‚é‚­‚āAV•·‚ª“Ç‚ß‚é‚Ù‚Ç‚Å‚ ‚éB jŽq‹Ÿ‚ÍŽ©•ª‚Ì•êe‚ª‹ƒ‚­‚Ì‚ðŒ©‚é‚Æ‹ƒ‚«AÎ‚¤‚Ì‚ðŒ©‚é‚Ə΂¤B Das Kind weint, wenn es seine eigene Mutter weinen sieht und lacht, wenn die Mutter lacht. j ‚͉·‚©‚¢‚Ù‚Ç‘½‚­‚̉–‚ð—n‰ð‚·‚éB j‰ÈŠw“I‚ɍl‚¦‚é‚Æ‚¢‚¤‚̂́A‰½‚æ‚è‚à‚Ü‚¸”Žš‚ōl‚¦‚é‚Æ‚¢‚¤‚±‚Æ‚Å‚ ‚éB Wissenschaftlich zu denken ist vor allem in Zahlen zu denken. jˆÓŒ©‚Æ‚¢‚¤‚à‚Ì‚ÍŠeX‚»‚̐l‚Ì”N—î‚Ɛ«•Ê‚Ɛg•ª‚Æ‚É‚æ‚Á‚ĈႤB Jeder hat andere Meinung je nach seinem Alter, Geschlecht und Stand. j‚ ‚éðŒ‚̉º‚É‚¨‚¢‚Ä“Å‚Å‚ ‚é‚à‚Ì‚àA‘¼‚ÌðŒ‚Ì‰º‚É‚¨‚¢‚Ä‚Í–ò‚ƂȂ邱‚Æ‚ª‚ ‚éB Auch was unter einer Bedingung Gift ist, kann unter anderer Bedingung Arznei werden. jˆê”Ê“I‚ÉŒ¾‚Á‚Ä’j‚æ‚è‚à—‚Ì•û‚ª’·¶‚«‚·‚é‚Æ‚¢‚¤‚±‚Æ‚Í“Œvã‚ÌŽ–ŽÀ‚Å‚ ‚éB j–k‹É‚ł́A‚·‚ׂĂ̕ûŒü‚ª“ì‚ŁA–k‚Æ“Œ‚Ɛ¼‚Í‚à‚͂⑶Ý‚µ‚È‚¢B jlŠÔ‚ª‚â‚ނ𓾂¸‚·‚邱‚Ƃقǐ³’¼‚È–³Ž×‹C‚È‚à‚Ì‚Í‚È‚¢B Nichts ist so wahr und naiv wie das, was der Mensch notgedrungen tut. j•ê‚Ì“ú‚ɁAŽ„‚Í“dŽÔ‚Ì’†‚Å‚W‚OÎˆÈã‚̘V”k‚ªÔ‚¢ƒJ[ƒl[ƒVƒ‡ƒ“‚ð‹¹‚É‚Â‚¯‚Ä‚¢‚é‚Ì‚ðŒ©‚½B jŒ´ŽqŠj‚Ì‚Ü‚í‚è‚ðŒ´Žq”ԍ†‚ªŽ¦‚µ‚Ä‚¢‚邾‚¯‚̃GƒŒƒNƒgƒƒ“‚ª‰ô‚Á‚Ä‚¢‚éB Um den Atomkern drehen sich so viele Elektronen, wie sie seine Atomnummer anzeigt.

92. Éäåüðïëéò - Ideopolis.gr - ¶ñèñá The summary for this Greek page contains characters that cannot be correctly displayed in this language/character set. http://www.ideopolis.gr/modules/news/article.php?storyid=54

93. ƒÎŒvŽZ¢ŠEˆêƒŠƒXƒgi‚P‚X‚W‚X”N‚܂Łj Translate this page 1844, 1844, Johann Martin ZachariasDase(1824.6.23-1861.9.11) ?, 200 http://www5f.biglobe.ne.jp/~tsuushin/sub1a.html

‚Þ‚©‚µA‚à‚µAƒMƒlƒXƒuƒbƒN‚ª‚ ‚Á‚½‚È‚ç‚΁EEE@@@@@@@@@@@@@@@@@@@@@@‚Q‚O‚O‚S”N‚QŒŽ‚Q‚S`‚Q‚T“ú@ŽÄ“cº•Fì¬ ‚ƒ‚‚’‚’‚ ‚ƒ‚”F@‚„‚ ‚ƒ‚‰‚‚‚Œ@‚‚Œ‚‚ƒ‚ ‚“ @@ŒvŽZ”N‘ã@@@@@@@Œ‹‰Êo”Å”N‘ã@@@@ŒvŽZŽÒ–¼@@@@@@@@@@@@@@@@@@@@@@@@@³Šm‚ȏ¬”“_ˆÈ‰º‚ÌŒ ”@@@ ‚ƒ‚‰‚’‚ƒ‚‚Q‚O‚O‚O@‚aD‚bD @‚a‚‚‚‚™‚Œ‚‚Ž‚‰‚‚Ž‚“C@‚d‚‡‚™‚‚”‚‰‚‚Ž‚“@@@@@@@@@@@ƒoƒrƒƒjƒAlEƒGƒWƒvƒgl ‚P ‚ƒ‚‰‚’‚ƒ‚@‚Q‚S‚O@‚aD‚bD ‚T ‚ƒ‚‰‚’‚ƒ‚@‚`D‚cD‚S‚W‚O ‚V ‚P‚S‚Q‚S ‚P‚S‚Q‚S @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ƒAƒ‹ƒJ[ƒV[ ‚P‚U i‚‚‚ ‚†‚‚’‚ @‚P‚T‚X‚Uj ‚P‚T‚X‚U ƒ‹ƒhƒ‹ƒtEƒtƒ@ƒ“EƒP[ƒŒƒ“ ‚Q‚O ‚P‚U‚P‚O i‚P‚U‚Q‚Pj @‚k‚•‚„‚‚Œ‚†@‚–‚‚Ž@‚b‚ ‚•‚Œ‚ ‚Ž ‚R‚T i‚P‚U‚Q‚P^‚P‚U‚R‚Oj ‚P‚U‚R‚O @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ƒOƒŠ[ƒ“ƒxƒ‹ƒQƒ‹ ‚R‚W i‚P‚U‚X‚Xj ‚P‚V‚O‚T ‚V‚P i‚‚‚ ‚†‚‚’‚ @‚P‚V‚O‚Uj ‚P‚V‚O‚U ‚P‚O‚O ‚P‚V‚P‚X i‚P‚V‚Q‚Pj ƒhEƒ‰ƒj[ ‚P‚Q‚V” ‚P‚V‚X‚S ‚P‚V‚X‚S ‚P‚R‚U ‚ƒ‚‰‚’‚ƒ‚@‚P‚W‚O‚O i‚l‚‚™@‚P‚W‚O‚Qj @@@@‚‰‚Ž@‚”‚ˆ‚ @‚q‚‚„‚ƒ‚Œ‚‰‚†‚†‚ @‚k‚‰‚‚‚’‚‚’‚™ @@@@@@@@@@@@@@@@@i ƒ‚ƒ“ƒ`ƒ ƒNƒ‰‚̐”ŠwŽj j ‚P‚T‚Q ‚P‚W‚S‚S ‚P‚W‚S‚S ‚Q‚O‚O ‚P‚W‚S‚U ‚P‚W‚S‚V ƒNƒ‰ƒEƒ[ƒ“ ‚Q‚S‚W ‚R‚P‚W ‚P‚W‚T‚Q ‚P‚W‚T‚R ‚S‚S‚P ‚P‚W‚T‚Q ‚P‚W‚T‚R @‚v‚‰‚Œ‚Œ‚‰‚‚@‚r‚ˆ‚‚Ž‚‹‚“@@@@@@@@@@@@@@@@@@ ƒVƒƒƒ“ƒNƒX ‚T‚Q‚W ‚l‚‚™1944-‚l‚‚™1945 ‚T‚R‚O ‚n‚ƒ‚”D@ ‚P‚X‚S‚T ‚l‚‚’D‚P‚X‚S‚U @‚cD‚eD‚e‚ ‚’‚‡‚•‚“‚‚Ž ‚T‚S‚O ‚l‚‚’D@‚P‚X‚S‚U ‚i‚•‚Œ‚™@‚P‚X‚S‚U @‚cD‚eD‚e‚ ‚’‚‡‚•‚“‚‚Ž ‚U‚Q‚O ‚i‚‚ŽD@‚P‚X‚S‚V ‚`‚‚’D‚P‚X‚S‚V

94. £kªº¹Gªñ The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://pt4.math.scu.edu.tw/numericalweb/chapter0/pi2.htm

£kªº¹Gªñ Riemann Zeta ½u¤W½m²ß ªñ¥N¼Æ¾Ç®a¨D £k ªºªñ¦ü­È¡G §Q¥Î arctan(x)ªº ¨D £k (3.141592653589793...)ªºªñ¦ü­È¡G ±Nx¥N´«¦¨1¡A±o¨ì ¡A¥»¸`±N¤£¦Pªºx¥N¤J¨D £k ªºªñ¦ü­È¡C ¦b¤½¤¸1706¦~¡AJohn Machin(~1751)§Q¥Î ­pºâ¥X £k ªº100¦ìªñ¦ü­È¡C ¦b¤½¤¸1844¦~¡A¼w°ê¤ßºâ®aZacharias Dase (1824~1861) §Q¥Î ºâ¥X£kªº200¦ìªñ¦ü­È¡Cªñ¦~¨Ó¤S§Q¥Î ³o­Ó¤½¦¡ ºâ¥X£kªº¤@¦Ê¸U¦ìªºªñ¦ü­È¡C ½u¤W½m²ß ¦Û¦æ§¹¦¨¨ä¾l³¡¤À) £kªºªñ¦ü­È n=10 £kªºªñ¦ü­È n=20 §Q¥Î Riemann zeta function¹Gªñ Âà´« p¯Å¼Æ ªº°Ñ¼Æp¬°ÅܼÆx¡A§Ú­Ì¥i¥H±o¨ì¤@­Ó¶W¶V¨ç¼Æ¡AºÙ¬° Riemann zeta function ·ík¬O¤@­Ó¥¿°¸¼Æ®É¡A »P£kªºk¦¸¤èªº­È¦³ö : £a(2)=(£k^2)/6 , £a(4)=(£k^4)/90 , £a(6)=(£k^6)/94, £a(8)=(£k^8)/9450 ½u¤W½m²ß ¦Û¦æ§¹¦¨¨ä¾l³¡¤À) £kªºªñ¦ü­È n=10 £kªºªñ¦ü­È n=20 £a(2) £a(4) £a(6) £a(8)

95. Einführung In Die Berechnung Von Pi: Die Geschichte Der Pi-Berechnung http://www.uni-leipzig.de/~sma/pi_einfuehrung/geschichte.html

Die Geschichte der pi-Berechnung Durch handschriftliche Berechnung Datum Urheber Stellenzahl Kommentar 2000 v. Chr. Babylonier 287-212 v. Chr. Archimedes 150 v. Chr. Tsu Ch'ung Fibonacci Ludolph von Coelen mit Methode von Archimedes Abraham Sharp John Machin De Lagny davon 112 korrekt Vega Zacharias Dase in 3 Monaten William Rutherford William Shanks davon 527 korrekt; 92 Jahre blieb dieser Fehler unentdeckt US-Staat Indiana Mittels elektronischer Rechenanlagen Datum Urheber Stellenzahl Kommentar D. F. Ferguson John von Neumann et al. Machins Formel: G. E. Felton davon 7480 korrekt; auf Ferranti PEGASUS in 33 Stunden auf IBM 704 in 100 Minuten auf IBM 7090 in 9 Stunden Jean Guilloud auf CDC 6600 auf CDC 7600 in 24 Stunden in 30 Stunden William Gosper mit der Reihe von Srinivasa Ramanujan: konvergiert David H. Bailey auf CRAY-2-Supercomputer in 28 Stunden auf NEC SX-2-Supercomputer IBM 3090 HITAC S-820/80 IBM 3090 HITAC S-820/80 selbstgebauter Parallel-Computer (Details unbekannt) HITAC S-3800/480 (2 CPU) neuer selbstgebauter Parallel-Computer (Details unbekannt) Simon Plouffe auf HITAC S-3800/480 in 37 Stunden auf HITAC S-3800/480 (2 CPU) Fabrice Bellard die 100.000.000.000ste hexadezimale Stelle: 9Ch

96. ÄÄÇ»Å͵µ ¸¶À½À» ¼ÒÀ¯ÇÒ ¼ö Àִ°¡? : Roger Penrose Translate this page The summary for this Korean page contains characters that cannot be correctly displayed in this language/character set. http://www.aistudy.co.kr/ai/computer_mind.htm

Roger Penrose , 1996 (¿ø¼­ : The Emperor's New Mind : Concerning Computers, Minds, and The Laws of Physics, Oxford Univ, 1989), Page 25~65 ±× Á¦ÀÛÀÚÀÇ ÁÖÀåÀÌ ¸Â´ÂÁö Ʋ¸®´ÂÁö¸¦ ¾î¶»°Ô ¾Ë ¼ö ÀÖÀ»±î? º¸Åë ¿ì¸®°¡ ¾î¶² ±â°è¸¦ ±¸ÀÔÇÏ¸é ±× ¹°°ÇÀÌ Á¦°øÇÒ ¼ö ÀÖ´Â À¯Àͼº (service) Çϳª¿¡ ±Ù°ÅÇÏ¿© ±× °¡Ä¡¸¦ ÆÇÁ¤ÇÏ°Ô µÈ´Ù. ¸¸¾à ±× ±â°è°¡ ¿ì¸®°¡ Á¤ÇØ ³õÀº ÀÛ¾÷À» ¸¸Á·½º·´°Ô ¼öÇàÇϱ⸸ ÇÏ¸é ±× ¶§ ¿ì¸®´Â ±âºÐÀÌ ÁÁÀ» °ÍÀÌ´Ù. ±×·¸Áö ¸øÇÏ´Ù¸é ¹ÝȯÇÏ¿© ¼ö¸®ÇϵçÁö ¾Æ´Ï¸é ´Ù¸¥ °ÍÀ¸·Î ±³¼ÇÏ°Ô µÈ´Ù. ÀÌ·¯ÇÑ ±âÁØ¿¡ µû¸¥´Ù¸é, ±× ±â°è°¡ ½ÇÁ¦·Î Á¦ÀÛ È¸»çÀÇ ÁÖÀå´ë·Î Àΰ£ÀÇ Æ¯¼ºÀ» °®´Â´Ù´Â °ÍÀ» È®ÀÎÇϱâ À§Çؼ­´Â ÁÖ¾îÁø Ư¼ºµé¿¡ ´ëÇÏ¿© ´Ü¼øÈ÷ Àΰ£³·³ ¹ÝÀÀÇϴ°¡ ÇÏ´Â °Í¸¸À» ¾Ë¾Æº¸¸é µÉ °ÍÀÌ´Ù. ¸¸ÀÏ À̸¦ ¸¸Á·½º·´°Ô ¼öÇàÇÑ´Ù¸é ±× Á¦Á¶ ȸ»ç¿¡ ´ëÇÏ¿© ºÒÆòÇÒ ±Ù°Å°¡ ¾ø°í ¼ö¸®³ª ±³¼¸¦ À§ÇÏ¿© ÄÄÇ»Å͸¦ ¹ÝȯÇÒ ÇÊ¿äµµ ¾øÀ» °ÍÀÌ´Ù. À§ÀÇ ³»¿ëÀº ÀÌ ¹®Á¦¿¡ °üÇÏ¿© ¸Å¿ì Á¶ÀÛÁÖÀÇÀûÀÎ °üÁ¡À» Á¦½ÇÏ°í ÀÖ´Ù. Á¶ÀÛÁÖÀÇÀÚ (operationalist) µéÀº ÄÄÇ»ÅÍ°¡ »ç¶÷ÀÌ »ý°¢Çϸç ÇൿÇÏ´Â °Í°ú ¶È°°Àº Çൿ ¾ç»óÀ» º¸ÀÏ ¶§ ºñ·Î¼Ò ±×°ÍÀÌ »ý°¢ÇÑ´Ù°í ¸»ÇÒ °ÍÀÌ´Ù. ´çºÐ°£ ÀÌ Á¶ÀÛÁÖÀÇÀûÀÎ °üÁ¡À» ¹Þ¾ÆµéÀ̱â·Î ÇÏÀÚ. ¹°·Ð ÀÌ ¸»ÀÌ ÀǹÌÇÏ´Â °ÍÀº, ÄÄÇ»ÅÍ°¡ ¸¶Ä¡ »ý°¢Çϸç ÇൿÇÏ´Â »ç¶÷³·³ ¶È°°ÀÌ µ¿ÀÛÇÏ´Â °Í±îÁö ¿ä±¸ÇÏ´Â °ÍÀº ¾Æ´Ï´Ù. ±×°ÍÀÌ »ç¶÷°ú ¸ð¾çÀÌ ºñ½ÁÇϴٰųª Á¢ËÀ» ´À³¢´Â °ÍÀº ±×´ÙÁö ±â´ëÇÏÁö ¾Ê´Â´Ù. ±×·¯ÇÑ °ÍÀº ÄÄÇ»ÅÍÀÇ ¸ñÀû°ú ¹«°üÇÑ Æ¯¼ºµéÀ̱⠶§¹®ÀÌ´Ù. ÀÌ ¸»ÀÇ Àǹ̴ ¿ì¸®°¡ ¾î¶² Áú¹®À» ÄÄÇ»ÅÍ¿¡ ºÎ¿©ÇÏ´õ¶óµµ ±×°ÍÀÌ Àΰ£°ú À¯»çÇÑ ´äÀ» »ý¼ºÇÏ´Â °ÍÀ» ¿ì¸®°¡ ¿ä±¸ÇÑ´Ù´Â °ÍÀÌ´Ù. ±×¸®°í ±× ÄÄÇ»ÅÍ°¡ ¿ì¸®ÀÇ Áú¹®¿¡ ´ëÇÏ¿© Àΰ£°ú ±¸ºÐÇÒ ¼ö ¾ø´Â ´äÀ» »ý¼ºÇÒ ¶§ ºñ·Î¼Ò ±×°ÍÀÌ »ý°¢ÇÑ´Ù (ȤÀº ´À³¤´Ù, ÀÌÇØÇÑ´Ù µî) ´Â °ÍÀ» »ç½Ç·Î¼­ ¹Þ¾ÆµéÀÏ ¼ö ÀÖ´Ù´Â °ÍÀÌ´Ù.

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