81. Stu's Pi Page to the home pages of Xavier Gourdon, Takuya Ooura, Alan Pittman Carey Bloodworth,Mikko Tommila, Sebastian Wedeniwski, Gio Ciampa, and Yasumasa Kanada as well http://home.istar.ca/~lyster/pilinks.html

B Program Speed Records F astest program C hart of programs ... isclaimer B Size Records S uper computer H ome computer Links A uthors's links E -mail to Stu ... i-Hacks e-mail discussion group THE BEST PI PLACES The links below take you to the home pages of Xavier Gourdon, Takuya Ooura, Alan Pittman Carey Bloodworth, Mikko Tommila, Sebastian Wedeniwski, Gio Ciampa, and Yasumasa Kanada as well as other interesting places about 3.14159.... Xavier Gourdon Home to the second fastest p program on the planet for the PC. Also home to the size record holder for number of digits of p calculated on a home computer - 12,884,901,500 digits (12-gig) see Size Records/Home Computer for details Schnell-pi homepage - link is down, please advise A recent pi program running on Linux, named Schnell-pi and written by Dominique Delande is comparible to the fastest programs. No windows version of this program exists for the moment. See Dar's page listed here for a Linux comparison. One can only beg and plead with Dominique to look down on us lesser mortals in the Windoze world, and release a version which can be tested head-to-head with the other programs Carey Bloodworth's page Home of Pi 2.3.1 the first program to go over a gigabyte of digits on a home computer, and the sixth fastest to reach a megabyte of digits.

82. Book People: Additions To The IPL Online Texts Collection 8-8-00 Part 2/2 library.upenn.edu/webbin/gutbook/lookup?num=1032 Dewey Subjects 813.083 Americanand Canadian Sociological, Psychological, Realistic Fiction Kanada, Yasumasa. http://onlinebooks.library.upenn.edu/bplist/archive/2000-08-09$2.html

Book People Archive Additions to the IPL Online Texts Collection 8-8-00 part 2/2 From: Subject: Additions to the IPL Online Texts Collection 8-8-00 part 2/2 Date: Wed, 9 Aug 2000 10:35:41 -0400

83. Powersof10.com few months), algorithms by Jonathan and Peter Borweinin direct line of descentfrom Ramanujan's insightsled to a computation by Yasumasa Kanada and Daisuke http://www.powersof10.com/powers/patterns/station_90.html

June 29, 2002 thru January 5, 2003 California Academy of Sciences For more information, including video clips from the exhibition. Visit the California Academy of Sciences. Eames Office 2665 Main Street Santa Monica, CA 90405 ph 310-396-5991 fx 310-396-4677 Evolution Of Pi Text Overview Contained on CD Free Association Books ... Videos CONTAINED ON CD In 1 Kings 7:23, the Bible gives a value of p accurate to one significant digit. "Then he made the molten sea; it was round, 10 cubits from brim to brim . . . and a line of 30 cubits measured its circumference." Many biblical scholars date the writing of Kings to 550 BC. [©1997 Eames Office, created by DATT JAPAN, Inc. for Powers of Ten™ Interactive] The Rhind Papyrus (1700 B.C.) from Mesopotamia gives a value of p to 5 significant digits. [©1997 Eames Office, created by DATT JAPAN, Inc. for Powers of Ten™ Interactive] Archimedes (287-212 B.C.) came up with this value of p, one still used today by schoolchildren and others as a useful approximation for figuring the circumference of a circle. (In fact, 3 can be a useful approximation too.) [©1995 Eames Office, created by DATT JAPAN, Inc. for Powers of Ten™ Interactive]

84. ClariNet - All The News You Can Use, Now! something to do with circles. To Professor Yasumasa Kanada, however,pi is an obsession. ClariNews All the views of all the news! http://quickstart.clari.net/qs_se/webnews/wed/aj/Ajapan-pi-calculation.Rp8J_CD6.

We're sorry, but this news story has expired from our online archives. If you were a ClariNet subscriber, you would have seen this story 10 minutes after it was published: Tell me more about ClariNet Individual News! ClariNet offers newsfeeds that provide compelling news on your website: to attract and retain customers, with a range of products to meet every need and budget. Join the thousands of sites that already use the most desired content on the Web. Tell me more about ClariNet Newsfeeds for my site! Home ... Help/Search

85. AMTH 214 Yasumasa Kanada, of the Computer Science division of the Information TechnologyCenter, University of Tokyo, has announced that his team has succeeded in http://www.applmath.engr.scu.edu/~garrison/AMTH214-F02/amth214.html

AMTH 214 Engineering Statistics I Thank you for visiting our AMTH 214 Web Page at Santa Clara University Classes will be held on Fridays from 7 - 9 AM in EC105 . Note 7AM starting time. The course syllabus is available. The Final Exam will be passed out on December 6th and will be due on December 13th. Homework Assignments: Homework Solutions: H7Sols (hard copy) H8Sols (hard copy) H9Sols (hard copy) Quiz Solutions Exam Scores: Scores Final Course Grades Lecture Addenda: Did You Know Yasumasa Kanada, of the Computer Science division of the Information Technology Center, University of Tokyo, has announced that his team has succeeded in computing 206,158,430,000 decimal digits of pi. This is a new world record. The 200 billionth digit of pi turns out to be a 2. Click here for more details of the project. Richard Crandall of the Center for Advanced computation at Reed College, together with Ernst Mayer, formerly of Case Western Reserve University and Jason Papadopoulos of the University of Maryland, have verified that the 24th Fermat number (2^2^24+1) is not a prime number. You will find more information

86. EDionysus - Where The Arts Live One Divided by Pi Author Yasumasa Kanada Subject scientific/technical/professionalLanguage English Download Download Lit File (Requires Microsoft Reader). http://ebooks.edionysus.com/One Divided by Pi/One Divided by Pi.html

Visit the Online Arts Community Canada Performs Calgary Performs Edmonton Performs Maritimes Performs Montreal Performs Ottawa Performs Quebec City Performs Toronto Performs Vancouver Performs Winnipeg Performs fFIDA Arts Toronto ArtsWeek Toronto Theatre Alliance The Doras CIJC Shakespeare in the Rough T.O. Tix Ann Oakes Vanessa Harwood INSIDE eDionysus News Dance News Literature News Music News Theatre News Visual Arts News Dance Tap Origins Overview of Ballet Dance Biographies About Dance Notation History of Dance Jazz Dance Terminology Literature Literary Biographies Great Writings Great Speeches Literature of the World Literature Types Poetry Overview of Writing Music Music Biographies Blues Classical Jazz Music of the World Opera Overview of Music Theatre Theatre Biographies Costume Design Makeup Design Elements of Theatre Musicals History of Theatre Visual Arts Architecture Arts of the World Definition of Art Landscaping Painting Photography Sculpture eBook Reader Download Microsoft Reader eBook FAQ One Divided by Pi Author: Yasumasa Kanada Subject: scientific/technical/professional Language: English Download: Download Lit File (Requires Microsoft Reader About Us Contact Us FAQ

87. Tabla Con Los Valores De PI Translate this page Record actual Yasumasa Kanada and Daisuke Takahashi (Universidad de Tokyo) Fecha20 de Septiembre de 1999 Número de decimales 206,158,430,000 Tiempo 37 y http://centros5.pntic.mec.es/ies.de.bullas/dp/matema/conocer/tabla_pi.htm

Valores obtenidos para PI a lo largo de la historia Las columnas indican autor del cálculo, año y número de decimales. Babilonios Hacia el 2000 a.C. 1 3.1 = 3 + 1/8 Egipcios Hacia el 2000 a.C. 1 3.1 Arquímedes Hacia el 250 a.C. 3 3.141 (media) Ptolomeo 150 3 3.141 Liu Hui 263 5 3.14159 Tsu Ch'ung Chi 480 6 3.141592 (=355/113) Aryabhata 499 4 3.1415 Al-Khowarizmi 800 4 3.1416 Al-Kashi 1429 14 3.14159265358979 Vieta 1593 9 3.141592653 Romanus 1593 15 3.141592653589793 Van Ceulen 1596 20 Van Ceulen 1615 35 A partir de esta fecha empiezan a utilizarse series. Sharp 1699 71 Machin 1706 100 De Lagny 1719 127 (112 correctos) Vega 1794 140 Rutherford 1824 208 (152 correctos) Strassnitzky y Dase 1844 200 Clausen 1847 248 Lehmann 1853 261 Rutherford 1853 440 Shanks 1874 707 (527 correctos)

88. StaticBeats > Electronic Music > Digital Culture - Pi Calculated To 1.24 Trillio Professor Yasumasa Kanada and nine other researchers at the Information TechnologyCenter at Tokyo University calculated the value for pi with a Hitachi http://www.staticbeats.com/article.php?sid=1768

89. ScienceNow Yasumasa Kanada and colleagues at the University of Tokyo recently announcedthe completion of a calculation of 1.241 trillion digits of mathematicians http://bric.postech.ac.kr/science/97now/02_12now/021216a.html

16 December 2002 Pi in the Sky The precision of pi has passed the trillion-digit marka sixfold increase over the previous record. Yasumasa Kanada and colleagues at the University of Tokyo recently announced the completion of a calculation of 1.241 trillion digits of mathematicians' favorite constant, 3.14159? Kanada is the world's unquestioned pi king these dayshe and his team have set virtually all the records since the mid-1980s. Their last one, in 1999, reached 206 billion digits. The latest calculation took over 400 hours on a Hitachi supercomputer. The programs for doing all the high-precision arithmetic, Kanada reports, were 5 years in the making. To nail down their result, the group actually computed pi with two different formulas. What insights do all these digits offer? Not many, says David Bailey, a mathematician at Lawrence Berkeley National Laboratory, who computed a then-record 29 million digits in 1986. Pi primarily provides a convenient benchmark for measuring machines' ability to juggle huge numerical data sets quickly and accurately. BARRY CIPRA Related sites Kanada's Web site Computing Pi More Pi pages on the Web

90. Calcul De Pi Translate this page 51 539 600 000. en 29 heures, avec 212Go, par Yasumasa Kanada. 6/12/2002. HITACHI.1 240 000 000 000. Yasumasa Kanada, en 400 heures de calcul (1). http://www.mines.u-nancy.fr/~tisseran/cours/pi/

connues ENIAC 70 heures NORC 13 minutes Pegasus IBM 704 1 h 40 mn IBM 704 IBM 7090 8 h 43 mn IBM 7030 CDC 6600 CDC 7600 23 h 18 mn Facom M200 HITACHI M280H HITACHI M280H HITACHI M280H CRAY 2 28 h HITACHI S810/20 NEC SX2 CRAY 2 IBM 3090 HITACHI S3800/480 HITACHI SR2201 1024 processeurs en 29 heures, avec 212Go, par Yasumasa KANADA HITACHI Yasumasa KANADA, en 400 heures de calcul ( source http://www.jcanu.hpg.ig.com.br/history/h4dec/h4dec06.html ) = 1 - x + x - x Suite : Ecole des Mines de Nancy Document : http://www.mines.u-nancy.fr/~tisseran/cours/pi/ Remarques, suggestions, questions, ... : e-mail tisseran@mines.u-nancy.fr

91. Macmillan Online Publishing: Science 1996 Web TV; Yasumasa Kanada temporarily regains world record by computing p tosix billion decimal places, but the Chudnovsky brothers reach eight billion http://www.naturereference.com/Computerscience/ComputerScienceTimeline20.htm

Encyclopedia of Life Sciences Encyclopedia of Astronomy and Astrophysics Encyclopedia of Computer Science Other Life Sciences Publications ... Forthcoming Titles Timeline: 15 million BC - 44BC 2000AD and beyond Encyclopedia of Computer Science Fourth Edition Specifications August 2000 Hardback Fourth edition 2000 pages US ISBN: 1-56159-248-X Price: $150 ROW ISBN: 0-333-77879-0 Price: £125 Edited by Anthony Ralston, Edwin D. Reilly and David Hemmendinger More Information: At a glance Sample pages Features Reviews ... About the editors Timeline of computing Timeline of computing: 1996 Web TV; Yasumasa Kanada temporarily regains world record by computing p to six billion decimal places, but the Chudnovsky brothers reach eight billion shortly thereafter; Joel Armengaud, a member of GIMPS (Great Internet Mersenne Prime Search) uses spare computer time on his PC to find the largest prime known to that date, 21398269-1, a Mersenne prime of over 400,000 digits. 1999 Intel and Hewlett Packard jointly design and market a 600 MHz chip, the first 64-bit chip and the first Intel chip that is not based on 80x86 architecture. Pentium III; GNOME GUI positions Linux as a potentially formidable challenger to Windows. NSF asks the President to budget more money for "Information Science," but he replies "It all depends on what the meaning of IS is."

92. The Math Forum - Math Library - History/Biography Mathematics (CECM) Bailey, Bellard, Borwein (JM and PB), Chudnovsky (GV and DV),Gosper, Guilloud and Bouyer, Shanks and Wrench, Yasumasa Kanada, Simon Plouffe http://mathforum.org/library/topics/history/?start_at=401

93. KGU, KANADA Labo, 1986 Projects Development of Comuterized Numerical Controlled Milling Machine, Masakazu KASAMAYasumasa SANO Kenichi SUGAHARA Eiji SUZUKI Akira YOSHIMI, Kanada@kanto-gakuin http://home.kanto-gakuin.ac.jp/~kg044101/kanadalabo/students/project/1986e.html

KANADA Labo. Projects in 1986 Project Name of Student Notice Research on Micromouse Mikio ARAI Kiyoaki KUMAZAKI Naoto HARIMA Yoshihiko HARADA Research on 6 Lggeed Pneumatic Walking Machine Koh-ichi HONDA Takao MAKISHIMA Toshio MATSUBARA Development of Comuterized Numerical Controlled Milling Machine Masakazu KASAMA Yasumasa SANO Ken-ichi SUGAHARA Eiji SUZUKI Akira YOSHIMI Development of Automatic Specimen Setting System in Surface profilometer Tassei KUBOTA Satoru ZANMA Control of 6 Legged Pneumatic Walking Machine Jun ONODERA Katsunori NIHONYANAGI Masaaki MARUYAMA BACK kanada@kanto-gakuin.ac.jp This page is link-free

94. Computer Centre, The University Of Tokyo HOME PAGE Web http://www.cc.u-tokyo.ac.jp/

ƒX[ƒp[ƒRƒ“ƒsƒ [ƒeƒBƒ“ƒO•”–å i‹Œ‘åŒ^ŒvŽZ‹@ƒZƒ“ƒ^[j ‚Ì Web ƒy[ƒW‚ւ悤‚±‚»B XV—š—ðiÅIXV“ú : 2003.03.31j ƒT[ƒrƒX‹xŽ~‚Ì‚¨’m‚点iÅIXV“ú : 2003.03.27j ’´•À—ñƒWƒ‡ƒui128ƒm[ƒhjŽÀsƒT[ƒrƒX‚Ì‚¨’m‚点iÅIXV“ú : 2003.03.14j ‚¨’m‚点iÅIXV“ú : 2003.03.28j ƒVƒXƒeƒ€•ÏX“™‚Ì‚¨’m‚点 ƒvƒƒOƒ‰ƒ€Žw“±ˆõ•åW ‘²‹ÆŒ¤‹†‚Ì‚½‚ß‚ÌŒvŽZ‹@—˜—p‚ɂ‚¢‚Ä SSHiSecure SHelljÚ‘±‚ÌŽèˆø‚« ... ‰ß‹Ž‚Ì‚¨’m‚点 ƒZƒ“ƒ^[ˆÄ“à ‘åŒ^ŒvŽZ‹@ƒVƒXƒeƒ€—˜—p‚Ì‚½‚߂̎葱‚« Š§s•¨iƒX[ƒp[ƒRƒ“ƒsƒ [ƒeƒBƒ“ƒO•”–åŠÖ˜Aj ƒX[ƒp[ƒRƒ“ƒsƒ [ƒeƒBƒ“ƒOƒjƒ [ƒX @@@E—˜—p•‰’S‹à @@@EƒWƒ‡ƒuƒNƒ‰ƒX§ŒÀ’l ƒZƒ“ƒ^[”­s‚Ì—˜—p‚ÌŽèˆøˆê—— “Œ‘åƒZƒ“ƒ^[‚É‚¨‚¯‚éƒX[ƒp[ƒRƒ“ƒsƒ [ƒ^[—˜—p“ü–åiPDFƒf[ƒ^[j ƒZƒ“ƒ^[‚Ö‚ÌŽ¿–âE—v–] ƒZƒ“ƒ^[‚Ö‚ÌŽ¿–âA—v–]‚̃[ƒ‹ ƒpƒXƒ[ƒh‚ɂ‚¢‚Ä ƒZƒ“ƒ^[‚É‚æ‚­Šñ‚¹‚ç‚ê‚鎿–â‚Æ‚»‚̉ñ“šWi'02”N“x”Łj Webƒuƒ‰ƒEƒUŽg—p‚É‚æ‚éVOS3‚Ì—˜—p•û–@ ... ˆê”Ê“I”ñŒoŒ±•ªŽq‹O“¹ŒvŽZƒvƒƒOƒ‰ƒ€ Gaussian98 ‚ÌŽg‚¢•û ‘¼‚Ì Web ƒy[ƒW‚ւ̃Šƒ“ƒN “Œ‹ž‘åŠwî•ñŠî”ÕƒZƒ“ƒ^[ ‚»‚Ì‘¼‚Ì‘åŒ^ŒvŽZ‹@ƒZƒ“ƒ^[“™ “Œ‹ž‘åŠw‚Ì Web ƒy[ƒW “Œ‹ž‘åŠw—ŠwŒnŒ¤‹†‰Èî•ñ‰ÈŠwêU‹à“cŒ¤‹†Žº ... •À—ñƒvƒƒOƒ‰ƒ~ƒ“ƒOƒRƒ“ƒeƒXƒg'99 @www-admin@cc.u-tokyo.ac.jp Last update on Mar. 31, 2003

95. K-12 Math And Computer Science Colloquium calculation pushing the limits of number crunching machines. Dr. YasumasaKANADA. Computer Centre, The University of Tokyo Department http://archive.ncsa.uiuc.edu/Edu/RSE/pirse.html

calculation pushing the limits of number crunching machines Dr. Yasumasa KANADA Computer Centre, The University of Tokyo Department of Information Science, Graduate School of the University of Tokyo 1:30 pm, Monday, November 27, 1995, 2269 Beckman Institute Special K-12 Math and Science Colloquium: 4:00 pm, Monday, November 27, 1995, 4169 Beckman Institute ABSTRACT: About five years ago I had calculated pi to 1 billion decimal places using the HITAC S-820/80 supercomputer. This year, I have calculated pi to 3.2 billion and 4.2 billion decimal places by late June and August, respectively, using the HITAC S-3800/480. The main algorithm used for the calculation was based on the AGM algorithm which was suggested by Salamin and Brent in 1976. For verification, I used a fourth order algorithm which was developed in the early 1980's by Jonathan and Peter Borwein. In order to generate more than 1 billion decimal places of pi, supercomputers, fast Fourier transforms for "big-number arithmetic" and the challenge of competition were all crucial. In my talk, I will include a discussion of how I successfully implemented the algorithms, and my future plans for a new record. Please explore a related K-12 project: Mathematics Sponsored by NCSA Education and Outreach Division For further information, please contact: Lisa A. Bievenue, 244-1993

96. ÒµÓàÊýѧÌìµØ-×ÊÁϻ㼯-¦ÐÖµÌôÕ½ The summary for this Chinese (Simplified) page contains characters that cannot be correctly displayed in this language/character set. http://jamesjoe.51.net/refrence/pi.html

¦ÐµÄ×îмÆËã¼Í¼ÓÉÁ½Î»ÈÕ±¾ÈËDaisuke TakahashiºÍYasumasa KanadaËù´´Ôì¡£ËûÇÔÚÈÕ±¾¶«¾©´óѧµÄITÖÐÐÄ£¬ÒÔGauss-LegendreËã·¨±àд³ÌÐò£¬ÀûÓһ̨¿ë¿ÉÖ´ÐÐÒ»ÍòÒڴθ¡µãÔËËãµÄ³¬¼¶¼ÆËã»ú£¬´ÓÈÕ±¾Ê±¼ä1999Äê9ÔÂ18ÈÕ19:00:52Æ𣬼ÆËãÁË37Сʱ21·Ö04룬µµ½Á˦еÄ206,158,430,208(3*236)λʮ½øÖƾ«¶È£¬Ö®ºóºÍËûÇÓÚ1999Äê6ÔÂ27ÈÕÒÔBorweinËĴεü´úʽ¼ÆËãÁË46Сʱµµ½µÄ½á¹ûÏà±È£¬·¢ÏÖ×îºó45λСÊýÓвîÒ죬Òò´ËËûÇȡСÊýµãºó206,158,430,000λµÄpֵΪ±¾´Î¼ÆËã½á¹û¡£ÕâÒ»½á¹û´òÆÆÁËËûÇÓÚ1999Äê4Ô´´ÔìµÄ68,719,470,000λµÄÊÀ½ç¼Í¼¡£ Table of computation of Pi from 2000 BC to now Babylonians 2000? BCE 1 3.125 = 3 + 1/8 Egyptians 2000? BCE 1 3.16045 China 1200? BCE 1 3 Bible (1 Kings 7:23) 550? BCE 1 3 Archimedes 250? BCE 3 3.1418 (ave.) Hon Han Shu 130 AD 1 3.1622 = sqrt(10) ? Ptolemy 150 3 3.14166 Chung Hing 250? 1 3.16227 = sqrt(10) Wang Fau 250? 1 3.15555 = 142/45 Liu Hui 263 5 3.14159 Siddhanta 380 3 3.1416 Tsu Ch'ung Chi 480? 7 3.1415926 Aryabhata 499 4 3.14156 Brahmagupta 640? 1 3.162277 = sqrt(10)

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