Geometry.Net - Scientists: Yang Hui

1. Yang Hui -- Britannica Concise Encyclopedia Online Article
Search Britannica Concise Again. yang hui Britannica Concise. MLA style YangHui. Britannica Concise Encyclopedia. 2004. Encyclopædia Britannica.
http://concise.britannica.com/ebc/article?eu=420162

2. Puzzle 121. THE LEGEND OF YANG HUI
Problems Puzzles 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 After a laborious work , yang hui could finish in the year 1275 his book 'Hsu Ku Chai Chi Sung- an enthusiast of mathematics yang hui said Majesty, here is my
http://www.primepuzzles.net/puzzles/puzz_121.htm
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.
The day he presented the book to old Emperor Sung - an enthusiast of mathematics Yang Hui said: Majesty, here is my gift : a magic square of numbers in arithmetic progression such that if you add one to each cell results another of prime numbers only.
(Constant difference = 210)
Enchanted the Emperor rewarded him with a splendid steed and said to him afterwards: 'But now, I observe that if one is subtracted to each cell, not all of they results primes.'

3. Sensei's Library: Yang Hui
Sensei's Library, page yang hui, rating n/a. SL is a WikiWikiWeb about the game of Go (Paduk, Baduk, Weichi, Weiqi). It's a collaboration and community site. Everyone can add comments or edit
http://senseis.xmp.net/?YangHui

4. Yang_Hui
yang hui. Born about 1238 Little is known about yang hui other thanthat he wrote several outstanding mathematical texts. He was a
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Yang_Hui.html
Yang Hui
Born: about 1238 in Qiantang (now Hangzhou), Chekiang province, China
Died: about 1298 in China
Click the picture above
to see a larger version Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
Little is known about Yang Hui other than that he wrote several outstanding mathematical texts. He was a contemporary of both Qin Jiushao and Li Zhi , which we know from the dates on which his texts appeared, showing that he lived towards the end of the Nan (Southern) Sung dynasty. However, both Qin and Li 's major works appeared about fifteen years before the first work of Yang. Zhu Shijie was only born about the time Yang Hui's first texts were appearing so his life also overlapped that of Yang. There is a small amount of information about Yang Hui which he relates in his books. He tells us that he was taught mathematics by Liu I who was a native of Chung-shan, in Kwangtung province, which is south of Chekiang province where Yang Hui was born. Nothing at all is known of Liu I, so this information is less helpful in giving us details of Yang Hui than it might be. Again we know the names of four of Yang's friends who were also interested in mathematics, but again as these men are unknown except for Yang's reference to them. The best guess that historians make is that Yang was a minor Chinese official. Most Chinese scholars of the period were officials, for there were no professional mathematicians, but he could not have held an important post since were he a major official he would appear in records of the dynasty. I [EFR] am less certain about this standard view.

5. Yang
Biography of yang hui (12381298) yang hui. Born about 1238 in Qiantang (now Hangzhou), Chekiang province, China Little is known about yang hui other than that he wrote several outstanding
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Yang.html
Yang
This biography is now under Yang Hui You should be automatically forwarded to the correct page. If your browser leaves you on this page, then press HERE JOC/EFR January 2004

6. References For Yang_Hui
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_Hui.html
References for Yang Hui
Biography in Dictionary of Scientific Biography (New York 1970-1990). Books:
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).
J-C Martzloff, A history of Chinese mathematics (Berlin-Heidelberg, 1997).
J-C Martzloff, (Paris, 1987).
Y Mikami, Mathematics in China and Japan (New York, 1961).
J Needham, Science and Civilisation in China III (Cambridge, 1959).
K Shen, J N Crossley and A W-C Lun, The nine chapters on the mathematical art : Companion and commentary (Beijing, 1999).
G C Smith, S Radvansky and M Chiba, History of mathematics and related sciences : an annotated bibliography of sources held by Monash University Library (Clayton, 1992). 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
J Needham, Yang Hui and the coming of Euclid, in J Needham, Science and civilisation in China Vol. 3 : Mathematics and the sciences of the heavens and the earth (New York, 1959), Chapter 6.

7. Grace Yang Hui
Hui YANG. . Teaching Assistant, Department of Computer ScienceNational University of Singapore 3 Science Drive 2 Singapore 117543
http://www.comp.nus.edu.sg/~yangh/
Hui YANG Teaching Assistant Department of Computer Science
National University of Singapore
3 Science Drive 2
Singapore 117543
Office Phone: Multimedia Information Lab Lab Phone: (65)-6874-4362
Fax: (65)-6874-4580
Email: yangh@comp.nus.edu.sg Last Updated: 22 Mar 2004
M s Yang is a teaching assistant at the Department of Computer Science of the National University of Singapore . She got Master of Science and Bachelor of Science at the National University of Singapore in 2003 and 2001 respectively. Her research focuses on question answering, information extraction, and information retrieval. She is working on a high performance question answering system called QUALIFIER (QUestion Answering by LexIcal FabrIc and External Resource), which is the 2nd best performing system evaluated in both TREC-11 and TREC-12 QA Main Task Evaluation. She is the principal designer for the overall architecture of QUALIFIER, and various modules of it like question classification, question parsing, query formulation, answer selection, etc. She has extended the work in TREC to Event-based Question Answering, which considers the questions as enquiries to entities or aspects of events and exploiting the structural knowledge for effective QA. QUALIFIER integrates the external knowledge extracted from the Web and WordNet and further uncovers the event structure within the knowledge to perform the event-based QA.

8. Britannica Concise Encyclopedia - Your Gateway To All Britannica Has To Offer!
yang hui Britannica Concise Article. literary name Qianguang. MLA style YangHui. Britannica Concise Encyclopedia. 2004. Encyclopædia Britannica.
http://concise.britannica.com/ebc/print?eu=420162

9. 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
Yang Hui - Mathematics and the Liberal Arts
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.

10. Comments On Yang Hui
Comments on yang hui Comments
http://math.truman.edu/cgi-bin/thammond/makebibcomment.pl?code=General&cat=YangH

11. GoBase.org - Yang Hui - Biography
yang hui General information. kanji, biography, yang hui, Born May 12, 1963 inShanghai, People s Republic of China. Turned full time professional in 1985.
http://gobase.org/information/players/?pp=Yang Hui

12. GoBase.org - Yang Hui - Biography
yang hui General information. kanji, biography, yang hui, Born May 12, 1963 inShanghai, People s Republic of China. Turned full time professional in 1985.
http://gobase.org/information/players/browser/bios.phtml?pp=Yang Hui

13. Yang Hui Shan
yang hui Shan. CELEB QUIK yang hui SHAN OVERVIEW, GENRES FEATURINGyang hui SHAN Select a genre
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14. Rotten Tomatoes Forums - Yang Hui Shan
Top Celebrity Forums yang hui Shan Welcome! If this is your first visit,be sure to check out the FAQ. You have to register before you can post.
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15. DBLP: Hui-Kuo Yang
HuiKuo Yang. 2001. 1, EE, Jen-Hui Chuang, Jin-Fa Sheu, Chien-Chou Lin, Hui-KuoYang Shape matching and recognition using a physically based object model.
http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/y/Yang:Hui=Kuo.html
Hui-Kuo Yang
List of publications from the DBLP Bibliography Server FAQ Coauthor Index - Ask others: ACM DL ACM Guide CiteSeer CSB ... Chien-Chou Lin , Hui-Kuo Yang: Shape matching and recognition using a physically based object model.
Coauthor Index
Jen-Hui Chuang Chien-Chou Lin Jin-Fa Sheu DBLP: [ Home Author Title Conferences ... Michael Ley (ley@uni-trier.de) Tue Jun 1 16:50:03 2004

16. ?
Edition Study of yang hui Suan Fa. Shigeru Jochi. Li Yan (18921963) discussedyang hui Suan Fa in his books and articles (44). Yan Dunjie ?
http://www2.nkfust.edu.tw/~jochi/ed2.htm
én@Î
Edition Study of Yang Hui Suan Fa
Shigeru Jochi Back to Home Page
Back to ICMAOSK
Back to Japanese Home Page
Back to Chinese Home Page ...
Back to English Home Page

17. ICMAOSK
For this purpose, my thesis is constructed in four parts, introduction, 1 the studiesof editions; Shu Shu Jiu Zhang and yang hui Suan Fa, 2 the conception and
http://www2.nkfust.edu.tw/~jochi/j9.htm
wÌÖFaÖÌe¿ én@Î The Influence of Chinese Mathematics Arts on Seki Kowa Shigeru Jochi
ABSTRACT
CONTENTS
ABSTRACTEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE 2 ACKNOWLEDGEMENTSEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE 3 INTRODUCTION 1 : THE STUDY OF EDITIONS The Shu Shu Jiu Zhang EEEEEEEEEEEEEEEEEEEEEEE28 (a) Before completion of the Si Ku Quan Shu EEEEEEEEEE29 (b) From completion of the Si Ku Quan Shu to the publication of Yi-Jia-Tang Cong-Shu EEEEEEEEEE30 (c) After publication of the Yi-Jia-Tang Cong-Shu EEEEEEE33 (d) Conclusion to section 1-1EEEEEEEEEEEEEEEEE34 (2) The Yang Hui Suan Fa EEEEEEEEEEEEEEEEEEEEEEE35 (a) Versions of Qindetang press and its related editionsEEEE37 (b) Versions of the Yong Le Da Dian Edition EEEEEEEEEE42 (c) Conclusion to section 1-2EEEEEEEEEEEEEEEEE45 Notes EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE47 Diagram of manuscript tradition EEEEEEEEEEEEEEEEEEEE59 Biography of Ruan Yun and Li Rui EEEEEEEEEEEEEEEEEEEE62 2 : THE CONCEPTION AND EXTENSION OF METHOD FOR MAKING MAGIC SQUARE 3 : THE ANALYSIS FOR SOLVING INDETERMINATE EQUATIONS (1) Study history EEEEEEEEEEEEEEEEEEEEEEEEEE 148 (2) "The Sunzi Theorem" (Chinese Remainder Theorem)EEEEEEEEE 150 (a) In ChinaEEEEEEEEEEEEEEEEEEEEEEEEE 150 (b) In JapanEEEEEEEEEEEEEEEEEEEEEEEEE 156

18. Donga.com [english Donga]
yang huieuns 70s Show Takes Audiences Back In Time,
http://english.donga.com/srv/service.php3?biid=2004050490508

19. 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
Yang Hui's magic square of Hexagrams
(by Gua order) Top
Btm a b c d e f g h
All the columns, rows and the two diagonals sum up to
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:
Horizontally, start with at the upper right corner, skip two cells, hop one cell and move (skip no cell) to the next. Fill up the next number as you move.
Sometimes the steps are reversed. (i.e. move to the next cell, skip one, then hop two cells) as you fill up the numbers.
Vertically, move down (or up) four spaces plus one space left (or right) and fill up the next number.
Resume the horizontal actions for two lines with one step down (or up) to the next line until you come back to the left side for the vertical jump.
Vertical jumps always take place at the left side.

20. HKFlix.com Browse Yang Hui Films
SITE NAVIGATION navigate . YOU RE CURRENTLY BROWSING yang hui DVDs VCDs
http://www.hkflix.com/xq/asp/person.yang hui/qx/titles.htm
TITLES A or # B C D E F G H I J K L M N O P Q R S T U V W X Y Z BLOWOUT CATALOG PEOPLE Benny Chan Jackie Chan Jordan Chan Ekin Cheng Cecilia Cheung Leslie Cheung Jackie Cheung Maggie Cheung Hsu Chi (Shu Qi) Stephen Chow Chow Yun Fat Tsui Hark Sammo Hung Cynthia Khan Akira Kurosawa Aaron Kwok Andy Lau Bruce Lee Tony Leung Jet Li Brigitte Lin Gordon Liu Karl Maka Anita Mui Cynthia Rothrock Wong Kar-Wai John Woo Simon Yam Chingmy Yau Derek Yee Donnie Yen Michelle Yeoh Amy Yip Anita Yuen Yuen Biao Yuen Wo Ping GENRES Action Animation Art Bullet Ballet Chinese Opera Comedy Crime Dark Comedy Documentary Drama Erotica Fantasy Ghost Girls With Guns Historical Horror Instructional Martial Arts -Shaw Bros. Musical Mystery Nonsense Romance Science Fiction Swordplay Television Thriller Triad War Western BLOWOUT Titles People OR . . . POWER SEARCH! SITE NAVIGATION: n a v i g a t e HOME BLOWOUT HARDWARE FOODS SHOPPING CART POWER SEARCH SHIPPING HELP FAQ YOU'RE CURRENTLY BROWSING YANG HUI Hide Artwork (faster) Show Artwork Hide VCDs Show VCDs Hide Out-Of-Print Items Show Out-Of-Print Items Hide Animated Films Show Animated Films Hide "Mature" Films Show "Mature" Films Sort Results Alphabetically Reverse Alphabetically Chronologically Reverse Chronologically Newest First Displaying Titles Per Page, Starting With The Letter:

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Yang Hui

Born: about 1238 in Qiantang (now Hangzhou), Chekiang province, China Died: about 1298 in China

Yang

References for Yang Hui

Yang Hui - Mathematics and the Liberal Arts

Hui-Kuo Yang

Coauthor Index

Edition Study of Yang Hui Suan Fa

ABSTRACT

CONTENTS

All the columns, rows and the two diagonals sum up to

Born: about 1238 in Qiantang (now Hangzhou), Chekiang province, China
Died: about 1298 in China