41. Search Results An = (572.01004) cf. eg {\it U. Libbrecht}, Chinese mathematics in the thirteenthcentury, The shushu chiu-chang of Ch in chiu-shao. (1973; Zbl http://www.emis.de/cgi-bin/MATH-item?572.01004

42. Chinesischer Restsatz in chiu-shao aus dem Jahr 1247 lautet http://www.academicus.ch/de/chinesischer_restsatz.html

Chinesischer Restsatz Academicus.ch - Kostenloses Online-Lexikon Hauptseite Edit this page Chinesischer Restsatz Simultane Kongruenzen ganzer Zahlen Eine simultane Kongruenz ist ein System von linearen Kongruenzen für die alle x bestimmt werden sollen, die sämtliche Kongruenzen gleichzeitig lösen (mod ist die modulo -Funktion). Es kann aber auch keine Lösung geben. Die Originalform des Chinesischen Restsatzes aus einem Buch des chinesischen Mathematikers Ch'in Chiu-Shao aus dem Jahr lautet: Seien m , ..., m n paarweise teilerfremde positive ganze Zahlen, dann existiert für alle gegebenen ganzen Zahlen a , ..., a n genau eine x modulo m m m ...m n , das die obige simultane Kongruenz erfüllt. Finden einer Lösung Für jedes i sind die Ganzzahlen n i und M i teilerfremd, daher gibt es auch stets ein y i , sodass gilt: Diese Kongruenz lässt sich lösen (siehe lineare Kongruenz). Das gesuchte x ist nun: ZumWikipedia-Artikel Impressum Sitemap Sitemap all All text is available under the terms of the GNU Free Documentation License

43. Tommy Chin Chiu Tan - ResearchIndex Document Query Remainder Theorem, and the Circle of Fifths and the general case was stated and provedby Ch in chiushao in 1247 AD Two integers are called Chinese remainder http://citeseer.ist.psu.edu/cis?q=Tommy Chin-Chiu Tan

44. Curriculum Vitae Kyoto, August 1974), XVIth Congress (Bucarest, August 1981), XVIIIth Congress (Berkeley,August 1985), International Conference on Ch in chiushao (history of http://ccat.sas.upenn.edu/~nsivin/curr.html

Curriculum Vitae Nathan Sivin Professor of Chinese Culture and of the History of Science Room 364, Logan Hall, University of Pennsylvania Philadelphia, Pennsylvania 19104-6304 Email: nsivin@sas.upenn.edu U.S.A. Web site: http://ccat.sas.upenn.edu/~nsivin/ 8125 Roanoke Street (215) 898-7454 or 898-8400 Philadelphia, Pennsylvania 19118-3949, U.S.A. Fax (215) 573-2231 Born 11 May 1931, married to Carole Sivin (215) CH2-1596 For additional personal information see Who's Who in America Education Experimental 18-month course in Chinese, U. S. Army Language School, 1954-1956. S.B. in Humanities and Science (Chemistry minor), M.I.T., June 1958. M.A. in History of Science, Harvard University, June 1960. Ph. D. in History of Science, Harvard University, January 1966. M. A. (Hon.), University of Pennsylvania, October 1978. Study Abroad Taipei, Taiwan (Chinese language and philosophy), October 1961 - August 1962, December 1974. Singapore (Visiting Lecturer, History of Chinese alchemy), August 1962 - March 1963. Kyoto (Visiting Professor, Research Institute of Humanistic Studies, History of Chinese astronomy, alchemy, and medicine), September 1967-September 1968; September 1971-September 1972; June-November 1974; September 1979-February 1980, various shorter stays after 1980.

45. Seznam Matematiků 1933 1996); Shiing-shen Chern (Ríjen 26,1911 -); Alexey Chervonenkis(Rusko); Ch in chiu-shao (Cína, 1200s); Sarvadaman Chowla http://wikipedia.infostar.cz/l/li/list_of_mathematicians.html

švodn­ str¡nka Tato str¡nka v origin¡le Seznam matematiků Slavn½ matematici b½t zaznamenan½ dole v Angličtina alphabetical transliteration objednat ( př­jmen­ B C D ... Niels Henrik Abel (Norsko, Ralph H. Abraham (USA, Univerzita Kalifornie, Santa Cruz Wilhelm Ackermann (Německo, Maria Gaetana Agnesi (It¡lie, Lars Valerian Ahlfors , (Finsko, Ahmes , (Egypt, hrubě kolem 17th stolet­ BC Jean le Rond d'Alembert (Francie, Abu Ja'far Muhammad Ibn Musa Al-Khwarizmi (Persie, Alexander Anderson (Skotsko, Andr � - Marie Ampere , (Francie, Apollonius Perga (Mal¡ Asie, 265 B. C 170 B. C Archimedes (Syracuse, 287 B. C 212 B. C Aristotle (Řecko, 384 B. C 322 B. C Vladimir Arnol'd (Rusko, Emil Artin (Rakousko, Michael Francis Atiyah (Brit¡nie, B Charles Babbage (Sjednocen© kr¡lovstv­, John Baez Alan Baker (Brit¡nie, Stefan Banach (Polsko, Grigory Isaakovich Barenblatt (Rusko, USA, Isaac Barrow (Anglie, Thomas Bayes (Anglie, Eric Temple Bell (Skotsko, USA, Jakob Bernoulli (Å v½carsko, Johann Bernoulli (Å v½carsko, Joseph Louis Francois Bertrand (Francie

46. Some Number Theory This theorem may have been known to the eightcentury Buddhist monk I-Hsing, andcertainly appears in Ch in chiu-shao s Mathematical Treatise in Nine Sections http://www.math.sunysb.edu/~scott/Book331/Some_Number_Theory.html

Next: The RSA Public key Up: fsqFsHn sGGousG Previous: Modern cryptography Subsections The greatest common divisor and the Euclidean algorithm The Chinese Remainder Theorem Powers modulo n The Euler -function and Euler's Theorem Some Number Theory Most public key systems rely on number-theoretic results. Before we can discuss the implementation of one, we need to quickly go over the necessary background. We have already used a tiny amount of number theory (in our discussion of computing mod p and of the greatest common divisor). Of course, this must be done briefly, and we will only touch on a small part of a large and ancient field the interested reader would do well to consult a text on number theory (e.g. [ NZM Ros ]) for more information. The greatest common divisor and the Euclidean algorithm We have already met the greatest common divisor, or gcd, which is the largest integer which divides both of a pair of numbers. Two numbers are said to be relatively prime if their greatest common divisor is 1. As we have already seen, finding two relatively prime numbers has important applications in many cryptosystems. How can we determine the gcd of two numbers? If the numbers are not too large, just looking at their factors does the trick. For example

47. Bette Veteto's Math Resources BC; Arithmetic in Nine Sections, Math Book about 100 BC with SampleProblems; Horner s Method, Ch in chiushao 1247 AD; Early Pascal s http://www.cabrillo.edu/~mladdon/VetetoMathResources.html

Resources from Bette Veteto's Math Is Marvelous Web Page The purpose of this site is to add a reading and writing component to my math classes. Betty Veteto is a professor at the University of Memphis She created this web page for her students Students, "Choose a topic, read about it, and write a short report". Chambered Nautilus Fibonacci Sequence Table of Contents and Links Math Study Strategies Occupations in Mathematics African Americans in Mathematics Female Mathematicians ... Modern Period II History of Math Outline Egyptian and Babylonian Periods (3000 B.C. to 260 A.D.) Babylonian Map Eqyptian Map Empirical or Inductive Mathematics Surveying Engineering, Great Sphinx, Temples, ... Beginnings of Algebra Commerce Agriculture Egyptian Farmer on Clay Tablet Calendar Clocks (Picture of Water Clock) More on Ancient Clocks ... Sundials and Water Clocks Weights and Measures Taxes Mensuration Early Uses of Zero Prime Numbers, Seive of Erastosthenes Erastosthenes, The Librarian at Alexandria Early Numeral Systems Decimal Sexagesimal Simple Arithmetic Practical Geometry Chief Primary Sources Rhind Papyrus 1650 B.C.

48. Jingde Cheng's Home Page The Ada Joint Program Office (AJPO) FAQ. Great Scientists Aristotle; Euclidof Alexandria; Tsu Ch ung Chi; Ch in chiushao; Yang Hui; Sir Isaac Newton; http://www.aise.ics.saitama-u.ac.jp/~cheng/links.html

Welcome to Jingde Cheng's home page Links Go - A 4000 Years Old Chinese Board Game of Territorial Possession: CTN: China TianYuan Net China WeiQi Net The Intelligent Go Foundation Japan Computer Go Association ... World Web Go Ada - The Language For a Complex World: Ada 95 Reference Manual Ada 95 Rationale Why Ada? (by Chuck Engle) ACM SIGAda ... The Ada Joint Program Office (AJPO) FAQ Great Scientists : Aristotle Euclid of Alexandria Tsu Ch'ung Chi Ch'in Chiu-Shao ... Paul Joseph Cohen Associations : ASL: Association for Symbolic Logic IAAIL: International Association for Artificial Intelligence and Law IACR: International Association for Cryptologic Research IASTED: The International Association of Science and Technology for Development ... KR: Principles of Knowledge Representation and Reasoning, Incorporated Journals : Nature - International Weekly Journal of Science Nature - International Weekly Journal of Science (in Japanese) Science Online Scientific American ... ISI: Institute for Scientific Information Publishers : Cambridge University Press Elsevier Science Kluwer Academic Publishers Oxford University Press ... World Scientific References : Stanford Encyclopedia of Philosophy The MacTutor History of Mathematics Archive Mathematical Logic around the World Home Page of Multi-Valued Logic ... ARP: The Automated Reasoning Project, The Australian National University

49. Qin Jiushao --  Britannica Concise Encyclopedia Online Article More from Britannica on Qin Jiushao 39 Encyclopædia Britannica articles, fromthe full 32 volume encyclopedia. , Ch in chiushao Chinese mathematician who http://concise.britannica.com/ebc/article?eu=420158

50. Matemático - Wikipedia En Español Ch in chiu-shao (China, 1200s); Sarvadaman Chowla (India,1907 - 1995); Fan Chung (Taiwan, Estados Unidos, 1949 - ); Alonzo http://es.wikipedia.org/wiki/Matemático

Matemático De Wikipedia, la enciclopedia libre. Un matemático es una persona cuya área de estudio e investigación son las matemáticas Lista de matemáticos, por orden alfabético A B C D ... editar A Niels Henrik Abel Noruega Wilhelm Ackermann Alemania ... Egipto , alrededor del siglo XVII adC Jean Le Rond d'Alembert Francia Abu Ja'far Muhammad Ibn Musa Al-Khwarizmi ... editar B Charles Babbage Reino Unido Alan Baker Gran Bretaña ... Bélgica (República de Dubrovnik, Carl Benjamin Boyer Estados Unidos Henry Briggs Gran Bretaña ... editar C Georg Ferdinand Cantor Alemania Gerolamo Cardano Italia ... editar D Francois d'Aguillon Bélgica Germinal Pierre Dandelin Francia ... Egipto Ptolemaico, alrededor de 298 A.C. 214 A.C. Peter Gustav Lejeune Dirichlet Alemania ... editar E Albert Einstein Alemania William Emerson Reino Unido ... Egipto Ptolemaico, 276 A.C. 194 A.C. Paul Erdös Hungría ... Euclides de Alejandría ( Egipto Ptolemaico, alrededor de 365 adC. 275 A.C. Eudoxus de Cnidus Asia Menor , alrededor de 408 A.C. - alrededor 347 A.C. Leonhard Euler Suiza editar F Gerd Faltings Alemania Pierre Fatou Francia ... editar G Evariste Galois Francia Carl Friedrich Gauss Alemania ... editar H Jacques Hadamard Francia Paul Richard Halmos Hungría ... Alemania , actual Polonia Lars Hörmander Suecia Guillaume Francois Antoine l'Hôpital ... editar J Carl Gustav Jakob Jacobi Alemania Vaughan Frederick Randal Jones Nueva Zelanda ... editar K Mark Kac Polonia Estados Unidos Leonid Vitalyevich Kantorovich ... Irán , alrededor de Abraham Gotthelf Kästner Alemania Johannes Kepler Alemania ... editar L Olga Alexandrovna Ladyzhenskaya Rusia Laurent Lafforgue Francia ... editar M

51. Re [math-learn] Natural Numbers By Jpleroy In 1247 the Chinese mathematician Ch in chiushao wrote Mathematicaltreatise in nine sections which uses the symbol O for zero. http://mathforum.org/epigone/math-learn/tilkhaubox/BA7F6BA7.150E%jpleroy2@shaw.c

52. Encyclopedia: List Of Mathematicians 19, 1996); Shiingshen Chern (October 26,1911 - ); Alexey Chervonenkis(Russia); Ch in chiu-shao (China, 1200s); Sarvadaman Chowla (India http://www.nationmaster.com/encyclopedia/List-of-mathematicians

Supporter Benefits Signup Login Sources ... Pies Factoid #13 The United States spends more money on its military than the next 12 nations combined Interesting Facts Make your own graph: Hold down Control and click on several. Compare All Top 5 Top 10 Top 20 Top 100 Bottom 100 Bottom 20 Bottom 10 Bottom 5 All (desc) in category: Select Category Agriculture Crime Currency Democracy Economy Education Energy Environment Food Geography Government Health Identification Immigration Internet Labor Language Manufacturing Media Military Mortality People Religion Sports Taxation Transportation Welfare with statistic: view: Correlations Printable graph / table Pie chart Scatterplot with ... * Asterisk means graphable. Added May 21 Mortality stats Multi-users ½ price Catholic stats Related Articles People who viewed "List of mathematicians" also viewed: mathematician Archimedes Bertrand Russell Albert Einstein ... Johannes Kepler Top Graphs Richest Most Murderous Most Populous Most Militaristic ... More Stats Categories Agriculture Background Crime Currency ... Welfare Updated: May 21, 2004 Encyclopedia : List of mathematicians The famous mathematicians are listed below in English alphabetical transliteration order (by surname).

53. Historia Matematica Mailing List Archive: Re: [HM] Mayan Mathematics 1966. Earlier during the 13th Century, Ch in chiushao, inventedwhat is currently called the Chinese Remainder Theorem . http://sunsite.utk.edu/math_archives/.http/hypermail/historia/mar99/0048.html

Re: [HM] Mayan Mathematics Barron, Alfred [PRI] ABARRON@prius.jnj.com Thu, 11 Mar 1999 13:46:43 -0500 Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Next message: Julio Gonzalez Cabillon: "Re: [HM] Mayan Mathematics" Previous message: Calvin Jongsma: "[HM] Mayan Mathematics" Maybe in reply to: Calvin Jongsma: "[HM] Mayan Mathematics" Next in thread: Milo Gardner: "Re: [HM] Mayan Mathematics" I have been looking into this area for some time. My personal list is attached below. It was generated, in part, from earlier inquiries which I made to this list a year ago. Generally, there is a handful of quality printed material. However, more recently, a lot has begun to appear on websites. In fact, there are now site with excellent glyph graphics which are inconceivable in the printed medium, simply because we're trying to communicate the funda- mentals of a new language. As for kids, this may be limited. Certainly one can share the Mayan dot and bar arthemetic. Simple. But the calendrics is where their genius flows. This, however, reqires some understanding of their language, but only

54. Matematici Celebri - Wikipedia Ch in chiu-shao(Cina, 1200s); Sarvadaman Chowla (India, 1907 - 1995); Elwin http://it.wikipedia.org/wiki/Matematici_celebri

Matematici celebri Da Wikipedia, l'enciclopedia libera. Elenco in ordine alfabetico delle maggiori personalit  della matematica ˆ disponibile anche un elenco di matematici celebri in ordine cronologico A B C ... modifica A Asger Hartwig Aaboe Niels Henrik Abel Frindoe Norvegia ... Petrus Apianus (i.e. Peter Bienewitz) ( Leisnig Germania Ingolstadt Germania ... modifica B Charles Babbage Londra Inghilterra Londra ... Bhaskara (i.e. Bhaskaracharya) ( Vijayapura India Ujjain India ... Gertrude Blanch (i.e. Gittel Kaimowitz) ( Kolno Polonia USA Danilo Blanusa ... Copenhagen - Nobel Copenhagen Ludwig Boltzmann Vienna Duino ... Boscovich, Ruggero Giuseppe (orig. Rudjer Josip Boscovich Ragusa i.e. Dubrovnik Dalmazia Milano Nicolas Bourbaki (matematico franco-americano policefalo) ( Nancago XIX secolo Jean Bourgain Ostende ... Belgio - Med. Fields Carl Benjamin Boyer USA New York USA ... Albert De Brudzewo (Wojciech Brudzewski) ( Polonia Vilnius Lituania Fran§ois Bruhat ... modifica C Caccioppoli, Renato Napoli Napoli Cafiero, Federico ... Giovanni Domenico Cassini (Jean-Dominic) ( Perinaldo Genova Parigi Francia ... Pafnuty Lvovich Chebyshev (i.e. Tschebyschow) ( Russia Chen Jingrun Mainland Cina ... Chisini, Oscar

55. Mathematic Historic Style % % This File Is Based On A Table Of ChiTsuChung}{{\sc Chi Tsu Ch ung}\footnote{{\sc Chi Tsu Ch ung}, \born \circa 430,\died 501} } \newcommand{\ChinChiuShao}{{\sc Ch in chiushao}\footnote{{\sc http://www.tug.org/tex-archive/macros/latex/contrib/mhs/mhs.sty

56. 4Reference || 1247 Ch in chiushao publishes the original form of the Chinese remainder theorem.Pope Innocent IV sends missionaries to attempt to convert the Mongols. http://www.4reference.net/encyclopedias/wikipedia/1247.html

Front Page Encyclopedias Dictionaries Almanacs ... Decades Years: Events Shams ad-Din disappears resulting in Jalal Uddin Rumi writing 30,000 verses of poetry about his disappearance. Romford London England is chartered as a market town. Bedlam becomes part of London. Thuringia n War of Succession begins. Ch'in Chiu-Shao publishes the original form of the Chinese remainder theorem. Pope Innocent IV sends missionaries to attempt to convert the Mongols Egypt takes control of Jerusalem from the Khwarezmia Nijmegen becomes part of Gelderland *The Romanesque architecture cathedral of St. Pierre is begun in Beauvais. Afonso III succeeds Sancho II as King of Portugal Births Chang San Feng Hugh of Lincoln , supposed victim of blood libel Angelo da Clareno , founder of a group of Fraticelli Isabelle d'Aragon, wife of Philip III of France *Possible birthdate of Zhang Sanfeng , a semi-mythical Taoist master Deaths William de Ferrers, 4th Earl of Derby Heinrich Raspe Landgrave of Thuringia Monarchs/Presidents Aragon James I King of Aragon and count of Barcelona (reigned from to Castile Ferdinand III , the Saint King of Castile and Leon (reigned from to This article courtesy of Wikipedia . This article is licensed under the GNU Free Documentation License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license. GFDL:

57. List Of Mathematicians March 19, 1996); Shiingshen Chern (October 26,1911 - ); Alexey Chervonenkis(Russia); Ch in chiu-shao (China, 1200s); Sarvadaman Chowla http://www.sciencedaily.com/encyclopedia/list_of_mathematicians

Match: sort by: relevance date Free Services Subscribe by email RSS newsfeeds PDA-friendly format loc="/images/" A A A Find Jobs In: Healthcare Engineering Accounting College Contract / Freelance Customer Service Diversity Engineering Executive Healthcare Hospitality Human Resources Information Tech International Manufacturing Nonprofit Retail All Jobs by Job Type All Jobs by Industry Relocating? Visit: Moving Resources Moving Companies Mortgage Information Mortgage Calculator Real Estate Lookup Front Page Today's Digest Week in Review Email Updates ... Outdoor Living Encyclopedia Main Page See live article List of mathematicians The famous mathematicians are listed below in English alphabetical transliteration order (by surname Table of contents: A B C D ... Z A Abu'l-Wafa (Iran, Asger H. Aaboe Niels Henrik Abel (Norway, Ralph H. Abraham (USA, University of California, Santa Cruz John Couch Adams Petrus Apianus Cahit Arf (Turkey, Jean-Robert Argand (France, Yoriyuki Arima (Japan, Vladimir Igorevich Arnol'd Wilhelm Ackermann (Germany, Maria Gaetana Agnesi (Italy, Lars Valerian Ahlfors , (Finland, Ahmes , (Egypt, roughly around 17th century BC Jean le Rond d'Alembert (France

58. SmartPedia.com - Free Online Encyclopedia - Encyclopedia Books. The original form of the theorem, contained in a book by the Chinese mathematicianCh in chiushao (http//www-gap.dcs.st-and.ac.uk/~history/Mathematicians http://www.smartpedia.com/smart/browse/Chinese_remainder_theorem

Search: Math and Natural Sciences Applied Arts Social Sciences Culture ... Interdisciplinary Categories Chinese remainder theorem Categories Abstract algebra Number theory Theorems The Chinese remainder theorem is any of a number of related results in abstract algebra and number theory Table of contents showTocToggle("show","hide") 1 Simultaneous congruences of integers 2 Statement for principal ideal domains 3 Statement for general rings 4 External links Simultaneous congruences of integers The original form of the theorem, contained in a book by the Chinese mathematician Ch'in Chiu-Shao http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Qin_Jiushao.html published in , is a statement about simultaneous congruences (see modular arithmetic ). Suppose n n k are positive integers which are pairwise coprime (meaning gcd n i n j ) = 1 whenever i j ). Then, for any given integers a a k , there exists an integer x solving the system of simultaneous congruences x a i mod n i ) for i k Furthermore, all solutions x to this system are congruent modulo the product n n n k A solution x can be found as follows. For each

59. Encyclopedia4U - List Of People By Name: Ch - Encyclopedia Article 1884), cattle baron; Chiu, Alex, (born 1971), discoverer of immortalityrings; chiushao, Ch in, mathematician; Chladni, Ernst, (1756 http://www.encyclopedia4u.com/l/list-of-people-by-name-ch.html

ENCYCLOPEDIA U com Lists of articles by category ... Encyclopedia Home Page SEARCH : List of people by name: Ch List of people by name A B C D E F G ... Ce - Cf - Cg - Ch Ci - Cj - Ck - Cl - Cm - Cn - Co - Cp - Cq - Cr Cs - Ct - Cu Cv - Cw - Cx - Cy Cz Cha Chabon, Michael , (born 1964), author of The Amazing Adventures of Kavalier and Clay Wonder Boys Chabrol, Claude , (born 1930), film director Chacon, Bobby , (born 1951), world champion boxer Chacon, Iris , vedette Chads, John Cornell, British Virgin Islands president Chadwick, Florence, British swimmer Chadwick, Henry , (1824-1908), baseball writer and statistician Chadwick, James Chadwick, Paul, US cartoonist of Concrete fame Chadwick, Whitefield, (1854-1931), composer Chaffee, Gary, musician Chaffee, Roger , (1935-1967), US astronaut Chagall, Marc , (1887-1985), painter Chagoyan, Maria Rosa, actress Chaitin, Gregory , computer scientist and mathematician Chakerian, Gulbank Don, mathematician Chakiris, George, (born 1934), actor Chalbaud, Carlos Delgado, Venezuelan president Chaliapine, Feodor, (born 1873), Russian author Chaliapin, Feodor, (1873-1938), operatic bass

60. Chinesischer Restsatz | Mathe Board Lexikon in chiu-shao aus dem Jahr http://www.matheboard.de/lexikon/wiki.phtml?title=Chinesischer Restsatz&action=e

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