21. One Divided By Pi (to 1 Million Digits) By Yasumasa Kanada Free download of the Project Gutenberg eBook One Divided By pi (to 1 million digits) by Yasumasa Kanada http://rdre1.inktomi.com/click?u=http://www.gutenberg.net/browse/BIBREC/BR745.HT

22. Kanada Laboratory Homepage HINTS project home page. Members. Staff. Yasumasa Kanada (Professor); HisayasuKURODA (Research Associate); Fumiyo KAMEDA (Secretary) Master course students. http://pi2.cc.u-tokyo.ac.jp/

Kanada Laboratory home page Designed by Mr. Hiroaki WATANABE Click here for Japanese version. Our homepage in English and Japanese has been accessed by total of 36,080 network sites from 10th of August 1998 to 29th of April 2000 (.jp domain of 27,195 sites, the other domains of 8,895. The names of the top domain is .ae .ar .arpa .at .au .be .br .ca .ch .cl .cn .com .cr .cz .de .dk .do .ec .edu .ee .es .fi .fr .gov .gr .hk .hr .hu .id .ie .il .in .ir .is .it .jp .kg .kr .lb .lk .lt .mil .mn .mx .my .net .nl .no .nu .nz .ph .pl .pt .ru .sa .se .sg .si .sk .su .th .to .tr .tt .tw .ua .uk .us .ve .ye .yu .za, total number of 72 domains.) You are the -th visitor since 20th of October 1998, counter setup date. Kanada laboratory is a part of the Graduate School of Frontier Sciences Department of Frontier Informatics , the University of Tokyo , Tokyo, Japan, located in Computer Centre , The University of Tokyo. Information is available on the following topics. Laboratory Information Currently publisized PI record (to be updated within few days.) Following links are for getting statistical results for the pi digits sequence analysis. Sample digits for decimal digits of pi and more (completed) Sample digits for hexa decimal digits of pi (completed) Press released information on the web since 6th of November, 2002. ... Our PI Archives via FTP (Addition of the Mac OS/X super_pi program : 3-rd September, 2003. Addition of the super_pi programs for the BSDI BSD/OS, X68 Linux OS, Itanium Linux OS and SGI IRIX OS : 7-th of September, 2003. Addition of the super_pi programs for the Compaq Alpha OS, Sun Sparc Solaris OS and HP-UX OS : 27-th of September, 2003. Addition of the super_pi program for the FreeBSD OS, Power3 AIX OS and Alpha Linux OS : 28-th of September, 2003. Distribution of the dedicated super_pi programs for the IBM Power4 based OS, Athlon Linux based OS, Opteron Linux based OS and other major scalar processors are planned to be started in the future.)

23. Browse Top Level > Texts > Project Gutenberg Project Gutenberg Authors K Kanada, Yasumasa. One Divided By pi (to 1 million digits Author Kanada, Yasumasa. KeywordsAuthors K Kanada, Yasumasa; Titles O ; Subject http://webdev.archive.org/texts/textslisting-browse.php?collection=gutenberg&

24. Yasusi W/2 Kanada Or Y W/1 Kanada - ResearchIndex Document Query calculation of 11 irrational, 38 Joy of Pi, 5 Kanada, Yasumasa, 36 frequency of digits of 18 38 Joy of Pi, 5 Kanada, Yasumasa, 3-6 frequency of digits http://citeseer.nj.nec.com/cs?cs=1&q=Yasusi w/2 Kanada or Y w/1 Kanada&s

25. Kanada's Home Page Yasumasa Kanada. Picture taken by the Hokkaidoshinbun newspaper company. Youare the -th visitor. Introduction of myself. Curriculum vitae Licence Hobby http://www.hints.org/~kanada/

Yasumasa KANADA Picture taken by the Hokkaido-shinbun newspaper company. You are the -th visitor. Introduction of myself Curriculum vitae Licence Hobby Research interests Overview Papers Links Kanada family home page Kanada Lab. private room CCUT Home Page Kanada Lab. Japanese Home page ... Dept. of Information Science, Fac. of Science Home Page E-mail address: kanada@pi.cc.u-tokyo.ac.jp Last update: 4th of June, 2000

26. One Divided By Pi (to 1 Million Digits) One Divided By pi (to 1 million digits) Kanada, Yasumasa Yasumasa Kanada http://rdre1.inktomi.com/click?u=http://www.archive.org/texts/texts-details-db.p

27. Math Trek: A Trillion Pieces Of Pi, Science News Online, Dec. 14, 2002 Computer scientist Yasumasa Kanada and his coworkers at the University of Tokyo Information Technology Center calculate the digits of pi, Kanada and his team used formulas involving http://www.sciencenews.org/20021214/mathtrek.asp

Math Trek A Trillion Pieces of Pi Food for Thought Acrylamide—From Spuds to Gingerbread Science Safari Grossology TimeLine 70 Years Ago in Science News Week of Dec. 14, 2002; Vol. 162, No. 24 A Trillion Pieces of Pi Ivars Peterson The number pi ( p ) represents the ratio of a circle's circumference to its diameter. Starting with 3.1415926535897932384. . ., its digits run on forever. That hasn't stopped researchers from trying to calculate as many of those digits as computer technology and mathematical methods allow. Computer scientist Yasumasa Kanada and his coworkers at the University of Tokyo Information Technology Center have now succeeded in computing 1,241,100,000,000 decimal digits of pi, smashing their own previous world record of 206,158,430,000 digits, set in 1999. The calculation required about 602 hours on a Hitachi SR8000 computer, with access to a memory of about 1 terabyte. To calculate the digits of pi, Kanada and his team used formulas involving arctangent relations of pi. For instance, you can use the following expression to work out the value of the arctangent of x to any desired number of decimal places just by evaluating the series to a sufficiently large number of terms: arctangent( x x x x x x The value of pi can then be obtained from the following equation: p = 16 arctangent(1/5) – 4 arctangent(1/239).

28. Some People That Computed Pi Yasumasa Kanada, David H. Bailey (back) and Eugene Salamin and William Gosper(front). David H. Bailey s license plate. Yasumasa Kanada in his office. http://www.cecm.sfu.ca/projects/ISC/pigang.html

Yasumasa Kanada, David H. Bailey (back) and Eugene Salamin and William Gosper (front). David H. Bailey's license plate. Yasumasa Kanada in his office

29. Slashdot | A Much Bigger Piece Of Pi A Much Bigger Piece Of Pi article related to Science. story on Piobsessed Professor Yasumasa Kanada. A snippet from the story "Kanada and a team of researchers The previous record, set http://science.slashdot.org/science/02/12/07/1347240.shtml?tid=134

30. Project Gutenberg - Author Index: K Kamban, Gudmundur. Hadda Pada. Kanada, Yasumasa. One Divided By pi (to 1 milliondigits). Kandinsky, Wassily. Concerning The Spiritual In Art. Kane, William Terence. http://www.gutenberg.org/browse/IA_K

H ome P ersonalize Books A uthor: T itle Word(s): How To F ind Advanced ... ecent Books About Us D onate E vents ... ontacts In Depth V olunteering HO W ... ewsletters Author Index: K Authors: A B C D ... other Titles: A B C D ... other Languages: Bulgarian Chinese Danish Dutch ... Yiddish Kafka, Franz Metamorphosis The Trial Kailas, Uuno Tuuli ja tähkä ynnä muita runoja Finnish Kalidasa Sakoontala or The Lost Ring An Indian Drama Kamban, Gudmundur Hadda Pada Kanada, Yasumasa One Divided By pi (to 1 million digits) Kandinsky, Wassily Concerning The Spiritual In Art Kane, William Terence For Greater Things; the story of Saint Stanislaus Kostka Kant, Immanuel Critique of Practical Reason, The Critique Of Pure Reason, The Fundamental Principles of the Metaphysic of Morals Kritik der reinen Vernunft (1st Edition) German Kritik der reinen Vernunft (2nd Edition) German Metaphysical Elements of Ethics, The Kaufmann, Richard Fra det moderne Frankrig Danish Kay, Ross Go Ahead Boys And The Racing Motorboat Keats, John Lamia Poems 1817 Keble, John Christian Year, The Keeling, Annie E. Andrew Golding A Tale of the Great Plague Keenan, Henry Francis The Iron Game A Tale of the War Keene, H. G. (Henry George)

31. K-12 Math And Computer Science Colloquium 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 http://www.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

32. Índice De Autores Translate this page A B C D E F G H I J K L M N O P Q R S T U V W X Y Z. Kanada, Yasumasa. ONE DIVIDED BY PI (TO 1 MILLION DIGITS). http://www.ciberoteca.com/search/lstObrasAutor.asp?AUT=Kanada, Yasumasa

33. Peripheria - Yasumasa Kanada (19??) Yasumasa Kanada (19). retour aux mathématiciens. (plusd images). Yasumasa Kanada, mathématicien japonais né en 19 au Japon. http://www.peripheria.net/bios/kanada/

intro accueil / actualités qu'est-ce que Pi ? pourquoi Pi ? histoire du nombre Pi ... les décimales de Pi récré records amusement poèmes filmographie ... logiciels compléments liens bibliographie site livre d'or contact historique du site crédits ... stats [ SPONSOR ] Yasumasa Kanada (19) [retour aux mathématiciens] (plus d'images) Yasumasa Kanada, mathématicien japonais né en 19 au Japon. [retour aux mathématiciens] peripheria

34. Historique Des Records - Peripheria les professeurs Yasumasa Kanada et Daisuke Tahashi de l université de Tokyo. http://www.peripheria.net/recordsl.php

intro accueil / actualités qu'est-ce que Pi ? pourquoi Pi ? histoire du nombre Pi ... les décimales de Pi récré records amusement poèmes filmographie ... logiciels compléments liens bibliographie site livre d'or contact historique du site crédits ... stats [ SPONSOR ] historique des records dernière mise à jour : 28/03/2001 Cette page contient l'historique des records relatifs au nombre Pi, pour ne voir que les derniers records en date allez à la page des records La valeur du nombre pi la plus précise En 1999 , 206'158'430'000 calculées par les professeurs Yasumasa Kanada et Daisuke Tahashi de l'université de Tokyo. Ils ont fait le calcul deux fois avec deux algorithmes différents pour limiter les risques d'erreur. Le premier programme a tourné pendant 37h 21min 04sec (du 18 septembre 1999 19:00:52 au 20 septembre 1999 08:21:56) en utilisant l'algorithme Gauss-Legendre, et a nécessité 865Go de mémoire centrale. Le deuxième programme a tourné pendant 46h 07min 10sec (du 26 juin 1999 01:22:50 au 27 juin 1999 23:30:40) en utilisant l'Itération de Borwein du 4 ème ordre et a nécessité 817Go en mémoire centrale. L'ordinateur utilisé pour ces calculs est : un

35. PROJECT GUTENBERG - Catalog By Author - Kanada, Yasumasa Etexts by Author. Kanada, Yasumasa K Index Main Index OneDivided by pi LANGUAGE English SUBJECT Mathematics NOTES Math http://www.informika.ru/text/books/gutenb/gutind/TEMP/kanada_yasumasa.html

36. This Is Project Gutenberg This List Has Been Downloaded From The 1927 Jewett, Sarah Orne, 18491909 John of Damascus, Saint, circa 675-749 Johnson,Cla rence Edgar, 1906- Johnson, Samuel, 1709-1784 Kanada, Yasumasa Kay, Ross http://www.informika.ru/text/books/gutenb/gutind/TEMP/authors9809a1.txt

37. Yasumasa Kanada Article on Yasumasa Kanada from WorldHistory.com, licensed from Wikipedia,the free encyclopedia. Return to Article Index Yasumasa Kanada. http://www.worldhistory.com/wiki/Y/Yasumasa-Kanada.htm

World History (home) Encyclopedia Index Localities Companies Surnames ... This Week in History Yasumasa Kanada Dr. Yasumasa Kanada is a Japanese mathematician most known for his numerous world records over the past two decades for calculating digits of pi Kanada is a professor in the Department of Information Science at the University of Tokyo in Tokyo , Japan. As of 2003, Kanada held the world record calculating the number of digits in the decimal expansion of pi exactly 1.2411 trillion digits. The calculation took more than 600 hours on a Hitachi SR8000 supercomputer . Some of his competitors in recent years include the Borwein brothers and the Chudnovsky brothers. Sponsored Links Advertisements Harry Potter and the Prisoner of Azkaban unabridged on CD DVD New Releases ... at DVDPlanet Find lost family and friends This article is licensed under the GNU Free Documentation License You may copy and modify it as long as the entire work (including additions) remains under this license. You must provide a link to http://www.gnu.org/copyleft/fdl.html To view or edit this article at Wikipedia, follow this link World History How to cite this page Encyclopedia Index ... Contact Us

38. Math Trek: A Trillion Pieces Of Pi, Science News Online, Dec. 14, 2002 Computer scientist Yasumasa Kanada and his coworkers at the University of Tokyo InformationTechnology Center have now succeeded in computing 1,241,100,000,000 http://www.sciencenews.org/articles/20021214/mathtrek.asp

Math Trek A Trillion Pieces of Pi Food for Thought Acrylamide—From Spuds to Gingerbread Science Safari Grossology TimeLine 70 Years Ago in Science News Week of Dec. 14, 2002; Vol. 162, No. 24 A Trillion Pieces of Pi Ivars Peterson The number pi ( p ) represents the ratio of a circle's circumference to its diameter. Starting with 3.1415926535897932384. . ., its digits run on forever. That hasn't stopped researchers from trying to calculate as many of those digits as computer technology and mathematical methods allow. Computer scientist Yasumasa Kanada and his coworkers at the University of Tokyo Information Technology Center have now succeeded in computing 1,241,100,000,000 decimal digits of pi, smashing their own previous world record of 206,158,430,000 digits, set in 1999. The calculation required about 602 hours on a Hitachi SR8000 computer, with access to a memory of about 1 terabyte. To calculate the digits of pi, Kanada and his team used formulas involving arctangent relations of pi. For instance, you can use the following expression to work out the value of the arctangent of x to any desired number of decimal places just by evaluating the series to a sufficiently large number of terms: arctangent( x x x x x x The value of pi can then be obtained from the following equation: p = 16 arctangent(1/5) – 4 arctangent(1/239).

39. New World Record: 4th October 1999 Yasumasa Kanada Information Technology Center, Computer Centre Division,University of Tokyo Bunkyoku Yayoi 2-11-16 Tokyo 113-8658 Japan. http://www.lupi.ch/PiSites/Pi-Rekord.html

PI news by 20th September 1999, Adding Info. 4th October 1999 Dear folks, our latest record was established as the followings: Declared record: decimal digits Two independent calculation based on two different algorithms generated 206,158,430,208 (=3*2^36) decimal digits of pi and comparison of two generated sequences matched up to 206,158,430,163 decimal digits, e.g., 45 decimal digits difference. Then we are declaring 206,158,430,000 decimal digits as the new world record. Optimized Main program run: Job start : 18th September 1999 19:00:52 (JST) Job end : 20th September 1999 08:21:56 (JST) Elapsed time : 37:21:04 Main memory : 865 GB (= 6.758 GB * 128) Algorithm : Gauss-Legendre algorithm Optimized Verification program run: Job start : 26th June 1999 01:22:50 (JST) Job end : 27th June 1999 23:30:40 (JST) Elapsed time : 46:07:10 Main memory : 817 GB (= 6.383 GB * 128)

40. New Records At 6th July '97 And 5th April '99 Yasumasa Kanada Computer Centre, University of Tokyo Bunkyoku Yayoi 2-11-16 Tokyo113 Japan Fax +81-3-3814-7231 (office) E-mail Yasumasa Kanada http://www.lupi.ch/PiSites/Pi-Rekordold.html

first message from 1 Aug 97 - second message from April 99 Posted-Date: Fri, 1 Aug 1997 15:20:22 -0200 (GMT) Mime-Version: 1.0 Date: Fri, 1 Aug 1997 15:32:00 +0200 lmueller@pop.agri.ch From: xpolakis@hol.gr (Antreas P. Hatzipolakis) Subject: Pi Dear Lukas, Greetings from Athens - Antreas Latest PI news by Dear PI people; Now is the time for the announcement of new world record of pi. It took longer time than our expectation. Nearly two years has passed since we got new world record of 6.4 billion. Now, we got eight times more record than 6.4 billion as the following texts which you can get with anonymous ftp Our latest record was established as follows: Declared record: decimal digits Two independent calculations based on two different algorithms generated 51,539,607,552 (=3*2^34) decimal digits of pi and comparison of two generated sequences matched 51,539,607,510 decimal digits, e.g., a 42 decimal digits difference. Then we are declaring 51,539,600,000 decimal digits as the new world record. (See related lecture on Pi.) Main program run: Job start : 6th June 1997 22:29:06 Job end : 8th June 1997 03:32:17 Elapsed time : 29:03:11 Main memory : 212 GB Algorithm : Borwein's 4-th order convergent algorithm (Run the algorithm.)

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