Table2 Translate this page 51 milliards de décimales. par Yasumasa Kanada de l'université de Tokyo. (L'écriture de cette approximations nécessite 100 000 livres de 200 pages. http://www.math.uha.fr/Pi/Table2.html
Extractions: Les meilleures approximations de p au 20 NOM DATE NOMBRE DE DECIMALES EXACTES Ferguson Ferguson Ferguson et Wrench Smith et Wrench Reitwiesner et al. ( ENIAC) Nicholson et Jeenel Felton Genuys Felton Guilloud Shanks et Wrench Guilloud et Filliatre Guilloud et Dichampt Guilloud et Bouyer Miyoshi et Kanada Guilloud Tamura Tamura et Kanada Kanada, Yoshino et Tamura Ushiro et Kanada Gosper Bailey Kanada et Tamura Kanada, Tamura, Kobo et al. Kanada et Tamura Chudnovsky Chudnovsky Kanada et Tamura Chunovsky Kanada et Tamura Chudnovsky Chudnovsky Takahashi et Kanada Kanada Kanada RECORD ACTUEL
The Mad Cybrarian's Library: Free Online E-texts - Authors K-Kz Kanada, Yasumasa One Divided by pi (SUBJECT Mathematics Math 21 to a milliondigits ) Gutenberg FTP UITXT 996 Kb ZIP477 Kb SLTXT - ZIP ENTXT - ZIP. http://www.fortunecity.com/victorian/richmond/88/1libk.htm
APM - Educação E Matemática Translate this page Mas Yasumasa Kanada continuou a sua investigação e, em 1999 estabeleceuo recorde 206.158 milhares de milhão de casas decimais. http://www.apm.pt/apm/curiosidades/curio14.htm
Inverseur De Plouffe Translate this page Machine Hitachi SR8000. Qui Yasumasa Kanada et Daisuke Takahashi (Universitéde Tokyo). Qui Yasumasa Kanada et Daisuke Takahashi (Université de Tokyo). http://pi.lacim.uqam.ca/fra/records_fr.html
Plouffe's Inverter Machine HITACHI SR8000. Who Yasumasa Kanada and Daisuke Takahashi (Universityof Tokyo). Who Yasumasa Kanada and Daisuke Takahashi . http://pi.lacim.uqam.ca/eng/records_en.html
Extractions: Table of current records for the computation of constants last update was June 8, 2000 by Simon Plouffe Classical constants Precision : digits. (for downloads see The Big files directory) Time of computation: real time: 79 hours and 30 minutes. Who : Xavier Gourdon When : 1999, Nov, 14 (verification : 1999, Nov 21) Timing : The computation took 39h and 52 minutes on a IBM ThinkPad (PII 350 Mhz, 320 Mo of memory). The verification took 40 hours 25
U. Of Western Ontario /All Locations Sorted by Title. Author, Kanada, Yasumasa. Title, 1/pi to 1.000.000 digits electronicresource / calculated by Yasumasa Kanada. Publisher, Champaign, Ill. http://alpha.lib.uwo.ca:5701/search/XEbooks -- UWO.&SORT=A&searchscope=13/XEbook
U. Of Western Ontario /All Locations Record 2 of 88006 Author, Kanada, Yasumasa. Title, 1/pi to 1.000.000 digits electronicresource / calculated by Yasumasa Kanada. Publisher, Champaign, Ill. http://alpha.lib.uwo.ca:5701/search/dEbooks -- UWO./debooks uwo/-5,-1,0,B/frames
Extractions: AUTHOR TITLE SUBJECT MEDICAL SUBJECT WORD KEYWORD CALL NO Brescia University College Library Business Library Education Library Huron University College Library Music Library Law Library The D. B. Weldon Library Information and Media Studies Int'l Centre for Olympic Studies Electronic Resources Journals View Entire Collection Record 2 of 88006 LOCATION CALL # STATUS TAY stack WA730.E615 no.136 1992 IN LIBRARY Description Series Note Summaries in French and Spanish. Bibliography Includes bibliographical references (p. 93-112). Note Also available via the Internet. Med subject Trichloroethanes adverse effects. Environmental Exposure. Subject Trichloroethane. Ebooks UWO. Alternate au Dobson, S. (Stuart) Jensen, Allan A. United Nations Environment Programme. International Labour Organisation. ... International Program on Chemical Safety. ISBN OCLC #
404 Not Found Kanada, Yasumasa One Divided By pi (to 1 million digits) Kane, William Terence For Greater Things; the story of Saint Stanislaus Kostka Kay, Ross http://www.globusz.com/authors_k.html
Www.math.ucl.ac.be/~magnus/num1a/pinews.txt Yasumasa Kanada Computer Centre, University of Tokyo Bunkyoku Yayoi 2-11-16 Tokyo113 Japan Fax +81-3-3814-7231 (office) E-mail Kanada@pi.cc.u-tokyo.ac.jp http://www.math.ucl.ac.be/~magnus/num1a/pinews.txt
Extractions: sci.math #139994 (18 + 1065 more) [1] From: xpolakis@prometheus.hol.gr (Antreas P. Hatzipolakis) Newsgroups: sci.math [1] Pi to 6+ billions places (was: Pi to a million places) Date: Sat, 01 Jun 1996 00:04:28 +0200 Organization: Hellas On Line Lines: 89 Message-ID: NNTP-Posting-Host: cronos.hol.gr On Wed, 29 May 1996
Só Páginas Sobre O Número PI Pi through the ages; Yasumasa Kanada's FTP site Computer Centre, University of Tokyo Latest Record of Yasumasa Kanada; 6.4 Billion 6,400,000,000,000 digits! http://www.mat.uc.pt/~jaimecs/pipag.html
Books And Reading - Queens Borough Public Library Kendall F.; Clark, Donna. 1/pi to 1.000.000 digits, Kanada, Yasumasa.The online world, De Presno, Odd. Organic syntheses, . The origin of http://www.queenslibrary.org/books/ebook/ebook.asp?category=Science
Book_id Full_title Author Publisher 2009052 Come Unto Me All Ye BiblioBytes,. 2009498, 1/pi to 1.000.000 digits, Kanada, Yasumasa. ProjectGutenberg,. 2011141, 100% the story of a patriot, Sinclair, Upton. http://library.usask.ca/dbs/docs/publicly_accessible_collection_title.htm
Extractions: author publisher "Come unto Me all ye that labour" Boston, Thomas. Mount Zion, "Compel them to come in" Spurgeon, C. H. Mount Zion, "Hell fer Sartain" and other stories Fox, John. University of Virginia Library, "House divided" speech Lincoln, Abraham. Project Gutenberg, "Mr. Charles W. Chesnutt's stories" Howells, William Dean. University of Virginia Library, "My escape from slavery" Douglass, Frederick. Project Gutenberg, "She stoops to conquer" or, The mistakes of a night, a comedy Goldsmith, Oliver. Project Gutenberg, "Speaking of operations" Cobb, Irvin, S. Project Gutenberg, "Till he come" communion meditations and addresses Spurgeon, C. H. Christian Classics Et hereal Library, "Undo" Hutsko, Joe. Project Gutenberg, (Of the) institution and education of children Montaigne, Michel de. BiblioBytes, (Of the) standard of taste Hume, David. BiblioBytes, (Of) agriculture Cowley, Abraham. BiblioBytes
How To Compute Digits Of ? The current record is held by Yasumasa Kanada and Daisuke Takahashi from the Universityof Tokyo with 51 billion digits of (51,539,600,000 decimal digits to be http://db.uwaterloo.ca/~alopez-o/math-faq/node38.html
Extractions: Next: Euler's formula: Up: Special Numbers and Functions Previous: Special Numbers and Functions Symbolic Computation software such as Maple or Mathematica can compute 10,000 digits of in a blink, and another 20,000-1,000,000 digits overnight (range depends on hardware platform). It is possible to retrieve 1.25+ million digits of via anonymous ftp from the site wuarchive.wustl.edu, in the files pi.doc.Z and pi.dat.Z which reside in subdirectory doc/misc/pi. New York's Chudnovsky brothers have computed 2 billion digits of on a homebrew computer. The current record is held by Yasumasa Kanada and Daisuke Takahashi from the University of Tokyo with 51 billion digits of (51,539,600,000 decimal digits to be precise). Nick Johnson-Hill has an interesting page of trivia at: http://www.users.globalnet.co.uk/ nickjh/Pi.htm The new record for the number of digits of is 4.29496 billion decimal digits of pi were calculated and verified by 28th August '95. Related documents are available with anonymous ftp to www.cc.u-tokyo.ac.jp.
How To Compute Digits Of Pi ? The current record is held by Yasumasa Kanada and Daisuke Takahashi from the Universityof Tokyo with 51 billion digits of pi (51,539,600,000 decimal digits to http://db.uwaterloo.ca/~alopez-o/math-faq/mathtext/node12.html
Extractions: Next: Euler's formula: e^(i pi) Up: Special Numbers and Functions Previous: Special Numbers and Functions Symbolic Computation software such as Maple or Mathematica can compute 10,000 digits of pi in a blink, and another 20,000-1,000,000 digits overnight (range depends on hardware platform). It is possible to retrieve 1.25+ million digits of pi via anonymous ftp from the site wuarchive.wustl.edu, in the files pi.doc.Z and pi.dat.Z which reside in subdirectory doc/misc/pi. New York's Chudnovsky brothers have computed 2 billion digits of pi on a homebrew computer. The current record is held by Yasumasa Kanada and Daisuke Takahashi from the University of Tokyo with 51 billion digits of pi (51,539,600,000 decimal digits to be precise). Nick Johnson-Hill has an interesting page of pi trivia at: http://www.users.globalnet.co.uk/ nickjh/Pi.htm This computations were made by Yasumasa Kanada, at the University of Tokyo. There are essentially 3 different methods to calculate pi to many decimals.
CienciaNet : Pi Translate this page En 1983, Yoshiaki Tamura y Yasumasa Kanada, en menos de 30 h, en unHITAC M-280 H obtuvieron 16.777.206 (2 24 ) cifras. En Julio http://ciencianet.com/pi.html
Pushing Back Pi So just how accurately do we know what it is? To find out you might like totalk to Yasumasa Kanada and his colleagues at the University of Tokyo. http://plus.maths.org/issue3/news/pi/
Extractions: Issue 23: Jan 03 Issue 22: Nov 02 Issue 21: Sep 02 Issue 20: May 02 Issue 19: Mar 02 Issue 18: Jan 02 Issue 17: Nov 01 Issue 16: Sep 01 Issue 15: Jun 01 Issue 14: Mar 01 Issue 13: Jan 01 Issue 12: Sep 00 Issue 11: Jun 00 Issue 10: Jan 00 Issue 9: Sep 99 Issue 8: May 99 Issue 7: Jan 99 Issue 6: Sep 98 Issue 5: May 98 Issue 4: Jan 98 Issue 3: Sep 97 Issue 2: May 97 Issue 1: Jan 97 The decimal number system was introduced to Europe nearly 800 years ago and is a vast improvement on the previous system of Roman numerals (see " The life and numbers of Fibonacci " elsewhere in this issue). But good though it is, the decimal number system cannot represent all numbers exactly. Although sums like 4 divided by 33 result in values with an infinite number of digits to the right of the decimal point, they always have repeating patterns. We can use special dots placed above the digits to show this. Numbers like Pi, on the other hand, have no repeating pattern. So just how accurately do we know what it is? To find out you might like to talk to Yasumasa Kanada and his colleagues at the University of Tokyo. They have recently broken the world record for calculating the most accurate approximation using a Hitachi supercomputer. The Japanese researches have calculated 50 billion decimal digits of Pi, that's about 10 digits for every person in the world today. So if this sequence of digits contains no repeating pattern does that mean it's completely random? It depends who you ask. Mathematicians have been grappling with the idea of just what makes a random sequence for decades. A simple way of measuring randomness could have applications in a wide range of fields from the analysis of the stock market to the prevention of sudden infant death syndrome.
THE SIZE OF PI Professor Yasumasa Kanada of the University of Tokyo and Dr Daisuke Takahashimade the calculation by running two different programs in 1999. http://www.il-st-acad-sci.org/kingdom/math1001.html
Extractions: THE SIZE OF PI The most decimal places to which Pi has been calculated is 206,158,430,000. Professor Yasumasa Kanada of the University of Tokyo and Dr Daisuke Takahashi made the calculation by running two different programs in 1999. The number Pi (22/7) is one of the most important numbers in mathematics. Whenever circles are involved in any calculation, Pi is a critical number. Pi is what mathematicians call an irrational number, it has an infinite number of digits after its decimal point, which follow no repeating pattern. Because of this lack of a pattern, many people have become fascinated by calculating Pi to more and more accurate values. The latest value, by Yasumasa Kanada is 3.141 followed by 206,158,430,000 more digits! The fact that Pi is a constant has been known since prehistory. In the Bible, it is stated approximately as being equal to 3. Pi is always equal to half the circumference of a circle, divided by its radius. The main program used by the mathematicians ran for 37 h 21 min. Mathematics databases Kingdoms Project ISAS homepage Armando G. Amador
Wiswijzer 6600 (1967) 500.000 Guilloud and Bouyer (1973) 1.000.000 Tamura Kanada (1983) 16.777.216Chudnovsky brothers (1989) 1.011.196.691 Yasumasa Kanada (1989) 1.073 http://www.wiswijzer.nl/pagina.asp?nummer=314
Programme UK), Performance of Automatically Tuned Parallel GMRES(m) Method on DistributedMemory Machines Hisayasu Kuroda, Takahiro Katagiri and Yasumasa Kanada (Japan). http://vecpar.fe.up.pt/2000/Prog.html
Stu's Pi Page by Steve Pagliarulo, Xavier Gourdon, Takuya Ooura, Carey Bloodworth, Mikko Tommila,Sebastian Wedeniwski, Alan Pittman, Gio Ciampa, and Yasumasa Kanada. http://home.istar.ca/~lyster/chart.html