Geometry.Net - Scientists: Yang Hui

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http//www.huiyang.com.twhttp//www.huiyang.com.tw/ February 10, 2003 - 6 KB6. References for YangReferences for the biography of yang hui L Y Lam, A critical study of the 'yang hui suan fa' a thirteenth-century Chinese mathematical treatise (Singapore, 1977).
http://www.huiyang.com.tw/
Yang
yang hui. yang hui was a minor Chinese official who wrote two books, dated1261 and 1275, which use decimal fractions (in the modern form).
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Yang.html

Extractions: Yang Hui was a minor Chinese official who wrote two books, dated 1261 and 1275, which use decimal fractions (in the modern form). He refers to the work of an 11th Century mathematician Jia Xian who outlined a method of extending the calculation of square and cube roots to higher roots using what is now called the Pascal triangle . This is the first Chinese account of the Pascal triangle. The 1275 work is called Cheng Chu Tong Bian Ben Mo which means Alpha and omega of variations on multiplication and division. One of the more remarkable aspects of this work is the document on mathematics education Xi Suan Gang Mu (A syllabus of mathematics) which prefaced the first chapter. Man Keung Siu, reviewing [10], writes that the syllabus:- ... is an important and unusual extant document in mathematics education in ancient China. Not only does it specify the content and the time-table of a comprehensive study program in mathematics, it also explains the rationale behind the design of such a curriculum. It emphasizes a systematic and coherent program that is based on real understanding rather than on rote learning. This program is a marked improvement on the traditional way of learning mathematics by which a student is assigned certain classical texts, to be studied one followed by the other, each for a period of one to two years! Article by: J J O'Connor
Yang
Biography of yang hui (12381298) yang hui was a minor Chinese official who wrote two books, dated 1261 and 1275, which use decimal fractions (in the
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Yang.html

Extractions: Yang Hui was a minor Chinese official who wrote two books, dated 1261 and 1275, which use decimal fractions (in the modern form). He refers to the work of an 11th Century mathematician Jia Xian who outlined a method of extending the calculation of square and cube roots to higher roots using what is now called the Pascal triangle . This is the first Chinese account of the Pascal triangle. The 1275 work is called Cheng Chu Tong Bian Ben Mo which means Alpha and omega of variations on multiplication and division. One of the more remarkable aspects of this work is the document on mathematics education Xi Suan Gang Mu (A syllabus of mathematics) which prefaced the first chapter. Man Keung Siu, reviewing [10], writes that the syllabus:- ... is an important and unusual extant document in mathematics education in ancient China. Not only does it specify the content and the time-table of a comprehensive study program in mathematics, it also explains the rationale behind the design of such a curriculum. It emphasizes a systematic and coherent program that is based on real understanding rather than on rote learning. This program is a marked improvement on the traditional way of learning mathematics by which a student is assigned certain classical texts, to be studied one followed by the other, each for a period of one to two years! Article by: J J O'Connor
References For Yang
References for yang hui. Books LY Lam, A critical study of the 'yang hui suanfa' a thirteenthcentury Chinese mathematical treatise (Singapore, 1977).
http://www-gap.dcs.st-and.ac.uk/~history/References/Yang.html

Extractions: L Y Lam, A critical study of the 'Yang Hui suan fa': a thirteenth-century Chinese mathematical treatise (Singapore, 1977). Lay Yong Lam, A Critical Study of the Yang Hui Suan Fa: A Thirteenth-Century Chinese Mathematical Treatise, translated from Chinese (1977). Y Mikami, Mathematics in China and Japan (New York, 1961). J Needham, Science and Civilisation in China III (Cambridge, 1959). Articles: G Abe, Magic squares that occur in Yang-Hui's mathematics (Japanese), Sugakushi Kenkyu A Hirayama, The year in which Takakazu Seki copied the 'Yang Hui Suanfa' (Japanese), Sugakushi Kenkyu K Q Sun, Hui Yang's triangle and determinant (Chinese), Sichuan Shifan Daxue Xuebao Ziran Kexue Ban L Y Yong, Yang Hui's commentary on the "ying nu" chapter of the 'Chiu chang suan shu', Historia Math. D M Zhou, 'A syllabus of mathematics' and Hui Yang's methodology of teaching mathematics (Chinese), J. Central China Normal Univ. Natur. Sci. Main index Birthplace Maps Biographies Index
Yang Hui - Mathematics And The Liberal Arts
yang hui Mathematics and the Liberal Arts. To expand search, see China. Forexample, the squares yang hui gives are not of types found elsewhere.
http://math.truman.edu/~thammond/history/YangHui.html

Extractions: To expand search, see China . Laterally related topics: The Chiu Chang Suan Shu (Nine Chapters on the Mathematical Art) The I Ching , and Chu Shih-chieh The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The notes in these pages are intended as much to evoke ideas as to indicate what the books and articles are about. They are not intended as reviews. However, some items have been reviewed in Mathematical Reviews , published by The American Mathematical Society. When the mathematical review (MR) number and reviewer are known to the author of these pages, they are given as part of the bibliographic citation. Subscribing institutions can access the more recent MR reviews online through MathSciNet Biggs, N. L. The roots of combinatorics. Historia Math.
Chon Yang-hui : Selected Poems
Problems Puzzles Puzzles THE LEGEND OF yang hui " After a laborious work , yang hui could finish in the year 1275 his book 'Hsu Ku Chai Chi Suan Fa' (Continuation of
http://ccsun7.sogang.ac.kr/~anthony/ChonYangHui.htm

Extractions: Ch'on Yang-Hui Born in Pusan in 1942, Ch'on Yang-hui's career as a poet dates from 1965, when she was introduced in the review Hyondae Munhak (Modern Literature). She only graduated from Ewha Womans University in 1966 and did not publish a complete volume of poems until Shini uridurege mudnundamion (If God Asks Us, 1983); her most recent volume, Yetkolmokkil (An Old Alley), appeared in 1998. In all she has published five volumes. Her work received the tenth Sowol Poetry Award and she also received the 43rd Hyondae Munhak (Modern Literature) Prize. Even while disclosing her inner self, her poetry escapes from unregulated self- exposure, maintaining the grace of lyrical verse in which the self's agonies are revealed by reflecting on the relationship between the self and the surrounding world. Challenging the inclination found in many poets to break free from the conventional rules of lyricism, her poems stand as examples of the lyric's traditional function. Her poems show an affinity for small,fragile lives, a spirit hidden in her early poems and only vividly revealed as her work developed. Her clear perception of the preciousness of life enables her to create evocations of a peaceful world free from all care. This has been achieved by means of a brilliant harmony of small and lovely lives. Such touches of vitality are the driving force which have enabled the poet to survive bitter experiences, the source of a poetic style marked by noble restraint and elegant refinement.
The I Ching - Mathematics And The Liberal Arts
To expand search, see China. Laterally related topics The Chiu Chang Suan Shu(Nine Chapters on the Mathematical Art), yang hui, and Chu Shihchieh.
http://math.truman.edu/~thammond/history/IChing.html

Extractions: To expand search, see China . Laterally related topics: The Chiu Chang Suan Shu (Nine Chapters on the Mathematical Art) Yang Hui , and Chu Shih-chieh The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The notes in these pages are intended as much to evoke ideas as to indicate what the books and articles are about. They are not intended as reviews. However, some items have been reviewed in Mathematical Reviews , published by The American Mathematical Society. When the mathematical review (MR) number and reviewer are known to the author of these pages, they are given as part of the bibliographic citation. Subscribing institutions can access the more recent MR reviews online through MathSciNet Biggs, N. L. The roots of combinatorics. Historia Math.
Puzzle 121. THE LEGEND OF YANG HUI
Puzzle 121. THE LEGEND OF yang hui. The chosen puzzle deals with an ancient puzzlesupposedly posed by the Emperor Sung to the mathematician yang hui.
http://www.primepuzzles.net/puzzles/puzz_121.htm

Extractions: Puzzles Puzzle 121. THE LEGEND OF YANG HUI I have chosen as the last puzzle of the current millennium, one issue from a chapter of the book in preparation of my friend Luis Rodríguez - entitled " The World of Prime Numbers " - with his kindly and generous permission. The chosen puzzle deals with an ancient puzzle supposedly posed by the Emperor Sung to the mathematician Yang Hui In Rodríguez's own words: "...After a laborious work , Yang Hui could finish in the year 1275 his book 'Hsu Ku Chai Chi Suan Fa' (Continuation of Ancient Mathematical Methods for Elucidating the Strange Properties of Numbers). Among other matters this book is about magic squares. He gives the instructions for construct magic squares of order 3, 4 and 5.
Boston University: Electronic Directory
yang hui Shan posters, filmography, news, and forum. GENRES FEATURING. yang hui SHAN. BUY HOT POSTERS
http://eng.bu.edu/~hyang/Bridge/Bridge.html
Search Result For Cheng Hui Wang
Miao Yang ChihChing Yang Ching-Ching Yang Chun yang hui Yang Yeh Tien-Heng Yen Nan-Hsi Yi Yuen Yu Cheng
http://hpsearch.uni-trier.de/hp/a-tree/w/Wang:Cheng_Hui.html

Extractions: 30 Points (Preselect:80) Source: Google(2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100)
Huang Yang Hui
The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set.
http://www.jnarts.com/big5/hyh.htm
Huang Yang Hui
The summary for this Chinese (Simplified) page contains characters that cannot be correctly displayed in this language/character set.
http://www.jnarts.com/gb/hyh.htm
Sensei's Library: Yang Hui
Sensei's Library, page yang hui, rating n/a. SL is a WikiWikiWeb about thegame of Go (Paduk, Baduk, Weichi, Weiqi). yang hui Keywords People
http://senseis.xmp.net/?YangHui
CAST1: Yang Hui Shan
Weekly Newsreel. Brief Record Display. CAST1 yang hui Shan
http://picpal.com/hk/list2/l2000358.html
Yang Hui-p-¦ing Kuo Shang : Tsung Chia Wu Chan Cheng Chih Chia Ch-¦en Chan Cheng
yang huip-¦ing Kuo shang tsung Chia wu chan cheng chih Chia ch-¦enchan cheng. yang hui-p en chan cheng. Author yang hui-p-¦ing.
http://www.lyrics-store.com/Yang-Hui-p-ing-Kuo-shang-tsung-Chia-wu-chan-78100182
Yang Hui's Magic Square
yang hui's magic square of Hexagrams (by Gua order). Top Btm, a, b, c, d, e, f,g, h. I found a regular way of filling up the 64 cells to get yang hui's Magic Square.
http://acomp.usf.edu/~pkho/yijing/yanghui.htm

Extractions: Btm a b c d e f g h In the year 1261, Yang Hui mentioned in a mathematics book he published about a triangular arrangement of numbers and said that a mathematician (Jia Xian) before him had used it. This triangle of numbers is what is known in the western world as "Pascal Triangle". I found a regular way of filling up the 64 cells to get Yang Hui's Magic Square. It involves a set of regular steps:
E! Online - Credits - Yang Hui Shan
Guy. Today's Best Bets AbFab in NYC Homer acts up Sydney'sCIA snafu. yang hui Shan. Movies A Book of Heroes (1986). THS
http://www.eonline.com/Facts/People/0,12,49283,00.html
Yang Hui-Shan
yang huiShan Job, Title, Year, Average, Nb, Actor, A Book of Heroes,1987, rewards a remarkable performance according to us underlines
http://www.cinemasie.com/fiche/?type=personne&personne=yanghuishan
Yang Hui-Shan
Translate this page yang hui-Shan Fonction, Titre, Année, Moyenne, Nb, Interprète, A Book ofHeroes, 1987, récompense un travail que nous avons trouvé de grande qualité..
http://www.cinemasie.com/fr/fiche/?type=personne&personne=yanghuishan
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. Edition Study of yang hui Suan Fa. Shigeru Jochi Li Yan (18921963) discussed yang hui Suan Fa in his books and articles (44).
http://ccms.nkfust.edu.tw/~jochi/ed2.htm

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