21. Browse Top Level > Texts > Project Gutenberg > Subject > Mathematics There is no description available for this text. Author Kanada, Yasumasa KeywordsAuthors K Kanada, Yasumasa; Titles O ; Subject Mathematics. http://www.archive.org/texts/textslisting-browse.php?collection=gutenberg&cat=Su

22. K-12 Math And Computer Science Colloquium Dr. Yasumasa Kanada. Computer Centre, The University of Tokyo Department of Information Science, 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

23. Non-Fiction - University Of Maryland Humphrey, SD Irving, Henry Brodribb Joly, Norman F. Kanada, Yasumasa Kane, WilliamTerence Keene, HG Kehoe, Brendan P. Keith, Marian Keller, Helen Kempis http://www.lib.umd.edu/ETC/ReadingRoom/Nonfiction/

Non-Fiction General Nonfiction Abbott, David Phelps Adams, Henry Adams, John Quincy Addams, Jane ... History Reviews On-Line An on-line journal featuring book reviews. Humphrey, S. D. Irving, Henry Brodribb Joly, Norman F. Kanada, Yasumasa ... Roget, Peter Mark Roget's Thesaurus Roosevelt, Theodore Ross, Edmund G. Rowlandson, Mary White Rumford, Benjamin ... University of Maryland , College Park, MD 20742-7011 (301)405-0800 Please send comments and suggestions to the Libraries' Webmaster Content questions should be directed to Information Provider Last Revised: September 2001

24. PROJECT GUTENBERG - Catalog By Author - Index - Kanada, Yasumasa INDEX What is PG Etext Listings. Etexts by Author Kanada, Yasumasa K Index Main Index One Divided by pi. Opera The World's FASTER Browser! http://www.informika.ru/text/books/gutenb/gutind/TEMP/i-_kanada_yasumasa.html

25. 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

26. Author-Index Kan, WingKay*; Kan, Wing-kay*; Kan, X. Kan, YM; Kan, Zhengyan; Kanaan,Ghassan*; Kanada, Yasumasa*; Kanada, Yasusi*; Kanade, Takeo*; Kanadjian http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/A796.html

Author-Index previous page index root Jamier, R. Jamieson, James ... index root DBLP: [ Home Author Title Conferences ... Michael Ley (ley@uni-trier.de) Tue Apr 1 15:35:17 2003

27. Untitled Member of HINTS Project. Information Technology Center, The Universityof Tokyo @@Prof.@Kanada, Yasumasa. Information Technology http://www.hints.org/HINTSmem.htm

Member of HINTS Project Information Technology Center, The University of Tokyo @Prof. KANADA, Yasumasa Information Technology Center, The University of Tokyo Research Associate KURODA, Hisayasu JSPS Research Fellow KATAGIRI, Takahiro Department of Computer Science, Graduate School of Information Technology Science, The University of Tokyo First grade student KUDOH, Makoto Department of Frontier Informatics, Graduate School of Frontier Sciences, The University of Tokyo First grade student NISHIDE, Ryuuji

28. Record For Pi : 51.5 Billion Decimal Digits From Kanada@pi.cc.utokyo.ac.jp (Yasumasa Kanada) Subject New worldrecord of pi 51.5 billion decimal digits Dear pi people;. http://www.cecm.sfu.ca/personal/jborwein/Kanada_50b.html

From: kanada@pi.cc.u-tokyo.ac.jp (Yasumasa KANADA) Subject: New world record of pi : 51.5 billion decimal digits 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 to 'www.cc.u-tokyo.ac.jp' Yasumasa KANADA , Computer Centre, University of Tokyo Our latest record was established as follows: Declared record: 51,539,600,000 decimal digits Yasumasa KANADA and Daisuke TAKAHASHI 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 and Mathland article 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 : Borweins' 4-th order convergent algorithm Run the algorithm.

29. Yasumasa Kanada Name, Yasumasa Kanada. Job Title, Professor. Function Name, InformationTechnology Center Computer Centre Division. Lecture Course, Undergraduate http://www.adm.u-tokyo.ac.jp/IRS/IntroPage_E/intro47422077_e.html

Name Yasumasa Kanada Job Title Professor Function Name Information Technology Center Computer Centre Division Lecture Course Undergraduate Program in the 1st Semester Undergraduate Program in the 2nd Semester Graduate School Study Field INTERDISCIPLINARY AREA /Information Science /Computer Science INTERDISCIPLINARY AREA /Information Science /Study of Information System (including Library and Information Science) WIDE AREA /Wide Area /Wide Area Current Study Theme Parallel algorithm Pertormance Analysis Research on Research Study Contents by Key Word Literary Works (Books,Writings), Research Paper Title Source Year Homepage English http://www.cc.u-tokyo.ac.jp/kenkai/kanada-lab/index.html Japanese http://www.cc.u-tokyo.ac.jp/kenkai/kanada-lab/index-j.html E-mail Address Last Update Japanese

30. Peripheria - Yasumasa Kanada (19??) Yasumasa Kanada (19). retour aux mathématiciens (plus d'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

31. Historique Des Records - Peripheria Translate this page La valeur du nombre pi la plus précise. En 1999, 206'158'430'000 calculées parles 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

32. LitSearch: An Online Literary Database Kanada, Yasumasa (00) Works by this author One Divided By pi (to 1 milliondigits). Copyright 2001 Keith Ito. All Rights Reserved. Admin Control Panel. http://daily.stanford.edu/litsearch/servlet/DescribeAuthor?name=Kanada, Yasumasa

33. LitSearch: An Online Literary Database Authors whose last names begin with 'K' Kanada, Yasumasa Kane, William Terence Kay,Ross Keats, John Keene, HG (Henry George) Kehoe, Brendan P. Keith, Marian http://daily.stanford.edu/litsearch/servlet/DescribeAuthor?name=K

34. Results Search Results. Search Results for Yasumasa Kanada IN author Found3 of 105,850 searched. Rerun within the Portal Search within Results http://portal.acm.org/results.cfm?query=P305000 author&querydisp=Yasumasa

35. Citation New York, United States Hashing LEMMAs on time complexities with applicationsto formula manipulation Authors Eiichi Goto Yasumasa Kanada Sponsor SYMSAC http://portal.acm.org/citation.cfm?id=806334&coll=portal&dl=ACM&CFID=11111111&CF

36. 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/20021214/mathtrek.asp

Home page. 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).

37. Pi By The Billions - References And Sources, Science News Online (10/16/99) Yasumasa Kanada and his colleagues have computed 206.2 billion decimal digits ofpi, besting their previous record of 51.5 billion digits. References Sources http://www.sciencenews.org/sn_arc99/10_16_99/note6ref.htm

Pi by the billions Yasumasa Kanada and his colleagues have computed 206.2 billion decimal digits of pi, besting their previous record of 51.5 billion digits. References: Kanada’s announcement of his computation of 206.2 billion digits of pi can be found at http://www.cecm.sfu.ca/personal/jborwein/Kanada_200b.html , with additional details at ftp://www.cc.u-tokyo.ac.jp/README.our_latest_record Further Readings: Peterson, I. 1998. Picking off more pieces of pi. Science News 154(Oct. 17):255. . 1997. An enormous chunk of pi. Science News 152(Aug. 9):92. . 1995. A new formula for picking off pieces of pi. Science News 148(Oct. 28):279. Additional information about pi can be found at http://www.cecm.sfu.ca/personal/jborwein/pi_cover.html Sources: Yasumasa Kanada University of Tokyo Information Technology Center Computer Centre Division Bunkyo-ku Yayoi 2-11-16 Tokyo 113-8658 Japan Web site: http://pi2.cc.u-tokyo.ac.jp/index.html From Science News

38. 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)

39. 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.)

40. An Efficient Implementation Of Parallel Eigenvalue Computation For Massively Par of Parallel Eigenvalue Computation for Massively Parallel Processing (Make Corrections)Takahiro Katagiri, Yasumasa Kanada Parallel Computing Home/Search http://citeseer.nj.nec.com/480017.html

An Efficient Implementation of Parallel Eigenvalue Computation for Massively Parallel Processing (Make Corrections) Takahiro Katagiri, Yasumasa Kanada Parallel Computing Home/Search Context Related View or download: supercomputing.org/~katag pc99.ps.gz Cached: PS.gz PS PDF DjVu ... Help From: supercomputing.org/~kata index (more) Homepages: T.Katagiri Y.Kanada HPSearch (Update Links) Rate this article: (best) Comment on this article (Enter summary) Abstract: This article describes an efficient implementation and evaluation of a parallel eigensolver for computing all eigenvalues of dense symmetric matrices. Our eigensolver uses a Householder tridiagonalization method, which has higher parallelism and performance than conventional methods when problem size is relatively small, e.g. the order of 10,000. This is very important for relevant practical applications, where many diagonalizations for such matrices are required so often. The routine was... (Update) Active bibliography (related documents): More All A Methodology for Automatically Tuned Parallel.. - Katagiri, Kuroda, Kanada (2000) (Correct) ... (Correct) Similar documents based on text: More All Performance of Automatically Tuned Parallel GMRES(m).. - Kuroda, Katagiri, Kanada (2000)

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