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Kanada Yasumasa:     more detail

One divided by Pi (to 1 million digits)Kanada Yasumasa by Kanada Yasumasa, 2009-07-14 One Divided By pi (to 1 million digits) by Yasumasa Kanada, 2010-07-06 Pai no hanashi (Japanese Edition) by Yasumasa Kanada, 1991 VAISEIKA: An entry from Macmillan Reference USA's <i>Encyclopedia of Religion</i> by Kisor Chakrabarti, 2005 The Contributions of Japanese Mathematicians since 1950: An entry from Gale's <i>Science and Its Times</i> by P. Andrew Karam, 2001

lists with details

41. Brief History Of Pi Calculations -- From Harry J. Smith
    Yasumasa Kanada Computer Centre, University of Tokyo Bunkyoku Yayoi 2-11-16Tokyo 113 Japan Fax +81-3-3814-7231 (office) E-mail  
    http://www.geocities.com/hjsmithh/Pi/Records.html

42. Hashing LEMMAs On Time Complexities With Applications To Formula Manipulation
    Eiichi Goto Yasumasa Kanada 8 Y. Kanada, Tech. Rep. 7501, ISD, 1975. 9 F.Motoyoshi, Tech. Rep. 76-05, ISD, 1976. 10 M. Terashima, Tech. Rep.  
    http://portal.acm.org/citation.cfm?id=806334

43. Parallelism In Algebraic Computation And Parallel Algorithms For Symbolic Linear
    Tateaki Sasaki Yasumasa Kanada 13 Sasaki, T., Kanada, Y. and Watanabe,S., Calculation of Discriminants of High Degree Equations, Tokyo J. Math.,  
    http://portal.acm.org/citation.cfm?id=806388

44. Past Calculations Of Pi
    1995, Yasumasa Kanada, 6442450000, 116 hours, about 0.00006 seconds. 1997,Yasumasa Kanada and D. Takahashi, HITACHI SR2201, 51539600000  
    http://people.bath.ac.uk/slt20/times.html
    
    Extractions: Year Mathematician(s) Computer Number of digits Time Time per digit Ludolph van Ceulen (by hand) Machin (by hand) Wm. Shanks (by hand) ~ 15 years 1 week Richter (by hand) Johann Dase (by hand) 7 hours D. F. Ferguson, Wrench desk calculator ~ 1 year 11 hours Smith, Wrench desk calculator U.S. Army ENIAC (Electronic Numerical Intergrator and Computer) 70 hours 2 minutes S. C. Nicholson, J. Jeenel NORC 13 minutes 0.25 seconds Felton Pegasus F. Genuys IBM 704 100 minutes 0.6 seconds D. Shanks, J. W. Wrench IBM 7090 8.72 hours 1/3 seconds J. Guilloud and Bouyer CDC 7600 23.3 hours 1/12 seconds Y. Tamura, Yasumasa Kanada HITAC M-28OH D. H. Bailey, NASA Cray-2 28 hours Yasumasa Kanada Hitachi S-810/820 8 hours Yasumasa Kanada, Tamura, Kubo NEC SX-2 Yasumasa Kanada Hitachi S-820 6 hours Chudnovsky brothers Chudnovsky brothers m zero Yasumasa Kanada 116 hours about 0.00006 seconds Yasumasa Kanada and D. Takahashi HITACHI SR2201 29 hours and 7 minutes about 0.000002 seconds Yasumasa Kanada and D. Takahashi HITACHI SR8000 Project home page History Archimedes' method Approximations ... Bibliography

45. Sci.math FAQ: Digits Or Pi
    The current record is held by Yasumasa Kanada and Daisuke Takahashi from theUniversity of Tokyo with 51 billion digits of pi (51539600000 decimal digits to  
    http://www.cs.uu.nl/wais/html/na-dir/sci-math-faq/pi.html
    
    Extractions: Note from archiver cs.uu.nl: This page is part of a big collection of Usenet postings, archived here for your convenience. For matters concerning the content of this page , please contact its author(s); use the source , if all else fails. For matters concerning the archive as a whole, please refer to the archive description or contact the archiver. This article was archived around: 17 Feb 2000 22:51:58 GMT All FAQs in Directory: sci-math-faq

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

47. How To Compute Digits Of Pi ?
    The current record is held by Yasumasa Kanada and Daisuke Takahashi from the This computations were made by Yasumasa Kanada, at the University of Tokyo.  
    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.

48. Untitled Document
    In 1999, Yasumasa Kanada and his colleagues at the University of Tokyo computedpi to a record Kanada, Yasumasa. 1999. Pi News by Kanada Laboratory.  
    http://www.sssgrp.com/Menu/Products/readmepi.html
    
    Extractions: I would like to acknowledge Mr. Aoki Mitsuru, High Energy Physics Laboratory, Nagoya University, http://www.hepl.phys.nagoya-u.ac.jp/~mitsuru/pi-e.html , for posting 400 million digits of Pi (excluding the first digit, 3) in manageable groups of 10 million digits. This computation of Pi was made around May 1998. 2. Source of Artwork

49. New Page 1
    The current world record is held by Yasumasa Kanada of the University of Tokyo,who in 1999 calculated to 206158430000 decimal places using a computer  
    http://www.stanford.edu/~wavelet/pi/pi.html
    
    Extractions: Due to popular demand, I have decided to put the page from my old website onto here too..... For those who don't know, I once memorized pi to 2002 decimal places (you can say I was bored). I am even listed on the 1000-Club on Olle the Great's web site. I have now forgotten all but around the first 100 decimal places or so. A Treatise on Pi The number has always been my favourite number because of its unparalleled aesthetic beauty. On this page, I shall provide an overview of this extraordinary number: its history, properties, and its interesting facts. History of Pi Ancient History is perhaps the most famous ratio in mathematics. It is defined as the ratio between the circumference of a circle and its diameter. Throughout the ages, mathematicians have strived to find the value of . One of the earliest reference to was recorded in the Rhind Papyrus during the Egyptian Middle Kingdom, and was written by a scribe named Ahmes around 1650 BC. Ahmes began the scroll with the words: "The Entrance Into the Knowledge of All Existing Things", and made passing remarks that he composed the scroll "in likeness to writings made of old." Towards the end of the scroll, which comprises of various mathematical problems and their solutions, the area of a circle is found using a rough sort of It is interesting to note that the number is also indrectly quoted in the Bible. There is a little-known verse that reads

50. Einführung In Die Berechnung Von Pi: Record For Pi - 51.5 Billion Decimal Digit
    From Kanada@pi.cc.utokyo.ac.jp (Yasumasa Kanada) Subject New world record ofpi 51.5 billion Yasumasa Kanada, Computer Centre, University of Tokyo  
    http://www.uni-leipzig.de/~sma/pi_einfuehrung/record51.html
    
    Extractions: 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: 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 Main program run:

51. Pi Statistics
    The FTP server from the record calculation team of Yasumasa Kanada serves freeavailable data up to 4.2 billion digits. To proof the download correctness  
    http://piworld.de/pi-statistics/
    
    Extractions: Over hundreds of years mathematicians have found dozens of presentations and armies of formulas to compute the value of Ludolph's number. Regardless of this fact any new record in p calculation demonstrates the randomness of the digit series. Frequency analysis of these results didn't point out any order in these sequences.

52. Library2
    Kanada, Yasumasa One Divided by Pi, 13914 , 403 pages, Octavo , $8.50 SCIENCEAND MEDICINE Add to Cart. Kandinsky, Wassily Concerning the Spiritual in Art,  
    http://www.dngoodchild.com/lib2/cat3w_k.htm

53. 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 -  
    http://www.fortunecity.com/victorian/richmond/88/1libk.htm
    
    Extractions: web hosting domain names photo sharing Kanada, Yasumasa Kane, Eliza: Kant, Immanuel : Kane, Mr.: Kay Ross: Keary, Eliza Keary, Maud Keats, John Keene translation: Brazell, Karen : Matisoff, Susan : Semimaru (UVa) 1970(35 KB) Kehoe, Brendan P. Keith, Marian: Keller, Helen: Kellogg, John Harvey, 1852-1943.:

54. Calculate Pi
    Super_Pi by Yasumasa Kanada. Windows binary available. PiAGM by Carey Bloodworth 1) The easy to run Super_Pi (for MS-Windows™) by Yasumasa Kanada  
    http://thestarman.dan123.com/math/pi/piprogs.html
    
    Extractions: Since I'm running Windows 95/DOS 7 on a PC, each program listed here is at least available in an x86 (PC) DOS (or Win32) binary form. Executables for a particular program on another platform may exist, since some of them come with their own open source code! (Consult the program homepages and links listed below.) 1) The easy to run Super_Pi by Yasumasa Kanada Download Super_Pi now (in a 72 kb .zip file) and Calculate up to 32 Million digits of Pi. There are twelve different digit-lengths to choose from (see below). Simply extract the files ( Super_pi.exe, Super_pi.hlp and Super_pi.txt ) into any directory and run the program. The program creates the file pi_rec.txt

55. Free EBooks - Alphabetical List - GLOBUSZ PUBLISHING
    Kamban, Gudmundur, 18881945. Hadda Pada; Hadda Padda. Kanada, Yasumasa.One Divided By pi (to 1 million digits). Kant, Immanuel, 1724-1804  
    http://globusz.com/authors_k.asp
    
    Extractions: Free Downloads The titles below are available for free download. Downloaded eBooks will expire after a given number of days or uses and you will need a password to read them. Non-members can purchase one password for $2.99, while our registered members are provided with free passwords for our entire collection. For only $29.95 you will have access to our growing collection of best quality eBooks. We are adding new titles every day.

56. Stu's Pi Page
    Alan Pittman, Gio Ciampa, and Yasumasa Kanada. The programs below were run inWindows 98 with all background programs disabled  
    http://home.istar.ca/~lyster/chart.html

57. Chudnovsky Brothers
    A year after that, in 1987, Yasumasa Kanada and his team got a hundred andthirtyfour million digits of pi, using a NEC SX-2 supercomputer.  
    http://wadanet.com/hasegawa/chud.htm
    
    Extractions: The Mountains of PI By Richard Preston (NewYorker March 2, 1992) Gregory Volfovich Chudnovsky recently build a super computer in his appartment from mail-order parts. Gregory Chudnovsky is a number theorist. His appartment is situated near the top floor of a run-down building on the West Side of Manhattan, in a neighborhood near Columbia University. Not long ago, a human corpse was found dumped at the end of the block. The world's most powerful supercomputers include Cray Y-MP C90, the Thinking Machines CM-5, the Hitachi S-820/80, the nCube, the Fujitsu parallel machine, the Kendall Square Research parallel machine, the NEC SX-3, the Touchtone delta, and Gregory Chudnovsky's apartment. The apartment seems to be a kind of container for the supercomputer at least as much as it is a container for people. Gregory Chudnovsky's partner in the design and construction of the supercomputer was his older brother, David Volfovich Chudnovsky, who is also a mathematician, and who lives five blocks away from Gregory. The Chudnovsky brothers call their machine m zero. It occupies the former living room of Grogory's apartment, and its tentacles reach into other rooms. The brothers claim that m zero is a "true, general-purpose supercomputer", and that it is as fast and powerful as a somewhat older Cray Y-MP, but not as fast as the latest of the Y-MP machines, the C90, an advanced supercomputer made by Cray Research. A Cray Y-MP C90 costs more than thirty million dollars. It is a black monolith, seven feet tall and eight feet across, in the shape of a squat cylinder, and is cooled by liquid freon. So far, the brothers spent around seventy thousand dollars on parts for their supercomputer, and much of the money has come out of their wives' pockets.

58. NMBRTHRY Archives -- September 1999 (#20)
    EDU From Yasumasa Kanada Kanada@pi.cc.utokyo.ac.jp Subject Pi Latest Yasumasa Kanada Information Technology Center, Computer Centre Division,  
    http://listserv.nodak.edu/cgi-bin/wa.exe?A2=ind9909&L=nmbrthry&F=&S=&P=2395

59. - Organization
    Kanada, Yasumasa Professor, University of Tokyo; SAITO, Susumu Professor,Tokyo Institute of Technology; SAITO, Riichiro Professor, Tohoku University  
    http://www.tokyo.rist.or.jp/cnt/menu/org_e.html

60. RIST NEWS
    Dr. Yasumasa Kanada; University of Tokyo about speaker Dr. Eiji Osawa, Prof.Dr. Yasumasa Kanada, Dr. Yoshiyuki Miyamoto, Mr. Mikio Iizuka(RIST)  
    http://www.tokyo.rist.or.jp/cnt/repo/nanotech2004sympo/nanotech2004sympo_2_e.htm

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