21. 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://ccms.nkfust.edu.tw/~jochi/c9.htm

¤¤°ê¼Æ¾Ç®Ñ¹ïö§µ©Mªº¼vÅT «°¦a¡@­Z The Influence of Chinese Mathematics Arts on Seki Kowa Shigeru Jochi ABSTRACT CONTENTS ABSTRACT¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E 2 ACKNOWLEDGEMENTS¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E 3 INTRODUCTION 1 : THE STUDY OF EDITIONS The Shu Shu Jiu Zhang ¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E28 (a) Before completion of the Si Ku Quan Shu ¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E29 (b) From completion of the Si Ku Quan Shu to the publication of Yi-Jia-Tang Cong-Shu ¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E30 (c) After publication of the Yi-Jia-Tang Cong-Shu ¡E¡E¡E¡E¡E¡E¡E33 (d) Conclusion to section 1-1¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E34 (2) The Yang Hui Suan Fa ¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E35 (a) Versions of Qindetang press and its related editions¡E¡E¡E¡E37 (b) Versions of the Yong Le Da Dian Edition ¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E42 (c) Conclusion to section 1-2¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E45 Notes ¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E47 Diagram of manuscript tradition ¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E59 Biography of Ruan Yun and Li Rui ¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E62 2 : THE CONCEPTION AND EXTENSION OF METHOD FOR MAKING MAGIC SQUARE 3 : THE ANALYSIS FOR SOLVING INDETERMINATE EQUATIONS (1) Study history ¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E 148 (2) "The Sunzi Theorem" (Chinese Remainder Theorem)¡E¡E¡E¡E¡E¡E¡E¡E¡E 150 (a) In China¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E 150 (b) In Japan¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E¡E 156

22. Mindzine - China Individual Results Translate this page 1979, 2, Kong Xiangming, yang hui. 1980, 3, yang hui, Kong Xiangming. 1981, 4,yang hui, He Xiaoren. 1982, 5, yang hui 5d, Rui Naiwei 5d. 1983, 6, Feng Yun 5d,Rui Naiwei 5d. http://www.msoworld.com/mindzine/news/orient/go/china/_chindivsub.html

MEN'S INDIVIDUAL CHAMPIONS (Grades were not awarded in China until 1982) Year Term Winner Runner-up Guo Tisheng Chen Jiamou Liu Dihuai Wang Youchen Liu Dihuai GuoTisheng Huang Shuiji Wang Youchen Guo Tisheng Chen Zude Chen Zude Wu Songsheng Chen Zude Wu Songsheng Chen Zude Cao Zhilin Nie Weiping Wang Runan Nie Weiping Cao Zhilin Nie Weiping Chen Zude Nie Weiping Hua Yigang Liu Xiaoguang Ma Xiaochun Nie Weiping Ma Xiaochun Ma Xiaochun 8d Shao Zhenzhong 6d Nie Weiping 9d Shao Zhenzhong 7d Ma Xiaochun 9d Nie Weiping 9d Fang Tianfeng 5d Ma Xiaochun 9d Ma Xiaochun 9d Shao Zhenzhong 7d Ma Xiaochun 9d Liang Weitang 7d Qian Yuping 9d Liu Xiaoguang 9d Wang Jianhong 7d Jiang Zhujiu 9d Liu Xiaoguang 9d Qian Yuping 9d Ma Xiaochun 9d Yu Bin 9d Shao Weigang 8d Zhang Wendong 8d Zhang Wendong 9d Yu Bin 9d Cao Dayuan 9d Yu Bin 9d Chang Hao 7d Yu Bin 9d Zhou Heyang 6d Yu Bin 9d Ding Wei 5d Shao Weigang 9d Qiu Jun 4d Yu Bin 9d Zhou Heyang 8d Ding Wei 7d Luo Xihe 8d Shao Weigang 9d WOMEN'S INDIVIDUAL CHAMPIONS (Grades were not awarded in China until 1982) Year Term Winner Runner-up Kong Xiangming Chen Huifang Kong Xiangming Yang Hui Yang Hui Kong Xiangming Yang Hui He Xiaoren Yang Hui 5d Rui Naiwei 5d Feng Yun 5d Rui Naiwei 5d Kong Xiangming 7d Rui Naiwei 6d Yang Hui 6d Rui Naiwei 6d Rui Naiwei 8d Kong Xiangming 8d Rui Naiwei 9d Kong Xiangming 8d Rui Naiwei 9d Yang Hui 7d Rui Naiwei 9d Hua Xueming 6d Zhang Xuan 7d Hua Xueming 6d Yang Hui 8d Feng Yun 7d Yang Hui 8d Hua Xueming 6d Hua Xueming 7d Ye Jinjin 3d Li Ying 2d Hua Xueming 7d Du Yufeng 2d Li Chunhua 3d Hua Xueming 7d Xu Ying 3d Zhang Xuan 8d Yang Hui 8d

23. MindZine - Go - China: The Women's Mingren NEW FEMALE MINGREN Zhang Xuan 8dan won the first new-style Women's Mingren tournamentfor the Langchao Cup on 5 January 2001 when she beat yang hui 8-dan in http://www.msoworld.com/mindzine/news/orient/go/china/w_mingren.html

This page requires that javascript be turned on in order to display as intended. MIND SPORTS WORLDWIDE Search MSO Worldwide MSO Events Mind Sports Zine Brain Power Play Games Online ... Links E-mail: info@msoworld.com Home Mind Sports Zine Go ... China China: The Women's Mingren 6 January 2001 By John Fairbairn ZHANG IS FIRST NEW FEMALE MINGREN Zhang Xuan 8-dan won the first new-style Women's Mingren tournament for the Langchao Cup on 5 January 2001 when she beat Yang Hui 8-dan in the knockout final in Jinan. The event was designed to promote opportunties for new female talent in China, but in the end the older hands triumphed. Zhang, wife of Chang Hao 9-dan, is 32. Yang Hui, wife of Cao Dayuan 9-dan, is 37. In the longer term, though, of the increase in opportunities is sustained, we can expect more Chinese parents to allow their daughters to " go on the stage Older News From 4 January 2001: NEW WOMEN'S TITLE A new tournament for Chinese women began on 1 January 2001 as part of a new concerted campaign to bring the level of young female go players in China up to that of their Korean counterparts. The centrepiece of the campaign is to increase the woeful number of events in which they can compete.

24. China-Japan Go Exchange 1990 Zhang Xuan, Yokota Shigeaki, 199004-19, B+R, 135, download. yang hui, KomatsuHideki, 1990, W+R, 192, download. Morita Michihiro, yang hui, 1990, W+0.5, 279,download. http://gobase.org/games/inter/matches/exchange/18/

China-Japan Go Exchange 1990 Game collection Player black Player white Date RE #M Liao Guiyong Oya Koichi W+0.5 replay_gam(null, '/games/inter/matches/exchange/18/game-051.sgf', null); Wang Jiankun Onda Yasuhiko W+R replay_gam(null, '/games/inter/matches/exchange/18/game-052.sgf', null); Zhang Xuan Mimura Tomoyasu B+R replay_gam(null, '/games/inter/matches/exchange/18/game-050.sgf', null); Zhang Xuan Ishida Atsushi B+R replay_gam(null, '/games/inter/matches/exchange/18/game-049.sgf', null); Yoshida Mika Shao Weigang W+R replay_gam(null, '/games/inter/matches/exchange/18/game-043.sgf', null); Hara Sachiko Liu Jing W+R replay_gam(null, '/games/inter/matches/exchange/18/game-044.sgf', null); Fang Jie Sekiyama Toshimichi B+R replay_gam(null, '/games/inter/matches/exchange/18/game-045.sgf', null); Yuki Satoshi Wang Jiankun B+R replay_gam(null, '/games/inter/matches/exchange/18/game-046.sgf', null); Liao Guiyong Yukawa Mitsuhisa B+R replay_gam(null, '/games/inter/matches/exchange/18/game-047.sgf', null); Zhang Xuan Yokota Shigeaki B+R replay_gam(null, '/games/inter/matches/exchange/18/game-048.sgf', null); Yang Hui Komatsu Hideki W+R replay_gam(null, '/games/inter/matches/exchange/18/game-001.sgf', null);

25. News From Japan One Japanese player who did not make it was Takemiya Masaki he lostin round one to the only woman contestant, yang hui of China. http://gobase.org/games/davies/93/93apr.html

News from Japan by James Davies April 1993 Otake Hideo has raised his rank to 10 dan, for a year at least, by taking the Judan title from Takemiya Masaki . The final score was 3-1. Surprisingly, this is Otake's first triumph in nearly eight years in a newspaper-sponsored tournament. Back in 1969 the Judan title was the first major title of his career, so his winning it again is auspicious. One reason for Otake's success in this year's Judan match was that he played faster than his opponent. Takemiya lost both the third and fourth games under time pressure: an oversight cost him sente at a crucial point in the third game; and near the end of the fourth game he committed a subtle but disastrous error in a ko fight. The irony of this is that for years, Takemiya has been complaining that the time allowances are too long. Japan has placed three of its major title-holders Otake Hideo Cho Chikun , and Kobayashi Koichi in the quarter-final round of the Fujitsu Cup. Kato Masao and Awaji Shuzo are also in, giving Japan five of the eight quarter-final spots. One Japanese player who did not make it was Takemiya Masaki he lost in round one to the only woman contestant

26. Yang Hui Shan yang hui Shan. CELEB QUIK BROWSER Select yang hui SHAN OVERVIEW, GENRESFEATURING yang hui SHAN Select a genre http://www.rottentomatoes.com/p/YangHuiShan-1048480/

Log In What is RT? Email This Page Register Now. It's Free! FORUM HELP All Movies Games Celebs Critics Sources advanced search Go To Section ... HOME MOVIES VIDEODVD GAMES SHOP Home Celebrities Yang Hui Shan CELEB QUIK BROWSER > Select A Celebrity WEEKLY SPOTLIGHTS Amanda Bynes Vin Diesel Colin Farrell Colin Firth Eddie Griffin Katie Holmes Timothy Olyphant Kelly Preston Larenz Tate Forest Whitaker MOST POPULAR Ben Affleck Christina Aguilera Gillian Anderson Pamela Anderson Annette Bening Halle Berry Sandra Bullock Tim Burton James Cameron Jackie Chan Sean Connery Russell Crowe Tom Cruise Leonardo DiCaprio Robert De Niro Johnny Depp Cameron Diaz Kirsten Dunst Carmen Electra Rupert Everett David Fincher Harrison Ford Jodi Foster Brendan Fraser Sarah Michelle Gellar Mel Gibson Cuba Gooding Jr. Selma Hayek Jennifer Love Hewitt Anthony Hopkins Angelina Jolie Ashley Judd Nicole Kidman Martin Lawrence Heath Ledger Bruce Lee Jet Li Jennifer Lopez George Lucas Ewan McGregor Marilyn Monroe Julianne Moore Eddie Murphy Mike Myers Edward Norton, Jr. Al Pacino Gwyneth Paltrow Michelle Pfeiffer Brad Pitt Natalie Portman Julia Roberts Arnold Schwarzenegger Will Smith Britney Spears Steven Spielberg Sylvester Stallone Julia Stiles Charlize Theron John Travolta Denzel Washington Olivia Williams Bruce Willis Kate Winslet John Woo Michelle Yeoh YANG HUI SHAN OVERVIEW GENRES FEATURING YANG HUI SHAN Select a genre...

27. Yang Hui-Sang STAR yang huiSang SELECTED FILMOGRAPHY. YEAR, FILM. DESPERATE KILLER. http://www.rarekungfumovies.com/star757.html

STAR Yang Hui-Sang SELECTED FILMOGRAPHY YEAR FILM DESPERATE KILLER DRESSED TO FIGHT ...aka "Dragon of The Lost Ark" ...aka "Legend of The Broken Sword" LIFE OF NINJA ...aka "Deadly Life of A Ninja"

28. Hui Yang Data for Person hyang hui Yang. Articles in the MIJ-NSR Database Authoredby this Person Cubic InGaN Grown by MOCVD (1999). Use this http://nsr.mij.mrs.org/people/h-yang.html

Data for Person h-yang Hui Yang Articles in the MIJ-NSR Database Authored by this Person Cubic InGaN Grown by MOCVD Use this button to submit an update or addition to the data on this page. last updated Friday, March 26, 1999 3:16:38 AM. The Materials Research Society

29. History Of Mathematics: China yang hui (fl. c. 12611275) Wrote sevral books. Explains Jiu Xian's methodsfor solving higher-degree root extractions. yang hui (Qianguang) (fl. http://aleph0.clarku.edu/~djoyce/mathhist/china.html

Mathematics in China Table of Contents A brief outline of the history of Chinese mathematics Chronology of Mathematicians and Mathematical Works On-line References Bibliography ... Menubar access to other pages A brief outline of the history of Chinese mathematics Primary sources are Mikami's The Development of Mathematics in China and Japan and Li Yan and Du Shiran's Chinese Mathematics, a Concise History . See the bibliography below. Numerical notation, arithmetical computations, counting rods Traditional decimal notation one symbol for each of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 100, 1000, and 10000. Ex. 2034 would be written with symbols for 2,1000,3,10,4, meaning 2 times 1000 plus 3 times 10 plus 4. Goes back to origins of Chinese writing. Calculations performed using small bamboo counting rods. The positions of the rods gave a decimal place-value system, also written for long-term records. digit was a space. Arranged left to right like Arabic numerals. Back to 400 B.C.E. or earlier. Addition: the counting rods for the two numbers placed down, one number above the other. The digits added (merged) left to right with carries where needed. Subtraction similar.

30. New Publications (Coedited with Sidney CH Cheung and yang hui), containing this chapterTan Chee-Beng, Tourism and the Anthropology of China , pp.1-26. http://www.cuhk.edu.hk/ant/publish/news3/publication.htm

New Publications (From January to September 2001) ¡]·sªñ¥Xª©ª«¡A2001¦~1¤ë¦Ü9¤ë¡^ Prof. Joseph BOSCO (ªL¦à°Æ±Ð±Â) 2001a "Hong Kong." In Melvin Ember and Carol R. Ember, eds., Countries and Their Cultures 2: 991-1000. New York: Macmillan Reference USA. 2001b The Tianhou Temple Ritual and Architecture (CD-ROM) (Puay Peng Ho and Joseph Bosco). Published by the Depts. of Architecture and Anthropology, The Chinese University of Hong Kong, and distributed by The Chinese University Press. Prof. Sidney C.H.CHEUNG (±i®iÂE°Æ±Ð±Â) 2000 "Remembering through Space: A Communal Hall in Post-colonial Hong Kong." In Traditional Dwellings and Settlements Working Paper Series No. 130 (Invented Nations/Invented Traditions: Identity and Space). Nezar AlSayyad, ed. Berkeley: International Association for the Study of Traditional Environments (IASTE), University of California, Berkeley, USA, pp. 29-41. 2001a "Land Use and Fung-shui: Negotiation in the New Territories, Hong Kong." Cultural Survival Quarterly 25(2): 70-71. 2001b Tourism, Anthropology and China. Bangkok: White Lotus Press. (Co-edited with Tan Chee-Beng and Yang Hui), containing this chapter:

31. Yang Hui-shan At the same time, Ms. yang huishan has also been one of a tiny handfulworking to promote modern Chinese crystal art. CHINA EXPO-USA, http://www.liuli.com/e_news/yang.htm

In 1987 when she was at the pinnacle of her career she left the film world to devote herself to modern Chinese crystal, establish the Liuligongfang , and to study and master the unique technique of cire-perduc crystal art production. Over ten years, the Liuligongfang , as the modern crystal art workshop working in a Chinese artistic style, has fully fulfilled and maintained its stated intention of exploring, experimenting and producing fine works. At the same time, Ms. Yang Hui-shan has also been one of a tiny handful working to promote modern Chinese crystal art. CHINA EXPO-USA Born in Taipei,1952 Ancestral town: Changsha, Hunan Attended Ching-yi College, Taiwan Studied at the NY Experimental Glass Workshop

32. Hui Yang Hui Yang. yanghu@cis.ohiostate.edu. Think you can, thinkyou can't; either way, you'll be right. - Henry Ford. http://www.cis.ohio-state.edu/~yanghu/banner.htm

Hui Yang yanghu@cis.ohio-state.edu Think you can, think you can't; either way, you'll be right. - Henry Ford

33. Chinese Mathematics Rebecca And Tommy In '1261 the triangle appears to a depth of six in yang hui and toa depth of eight in Zhu Shijiei (as in diagram 6) in 1303. Yang http://www.roma.unisa.edu.au/07305/pascal.htm

34. Publications On Zen - J 1990. Nanyang hui-chung and the Heresies of the Platform Sutra . 1990. Nan-yang hui-chung and the Heresies of the Platform Sutra . http://www.iijnet.or.jp/iriz/irizhtml/ejbiblio/ejbibj.htm

English Publications on Zen 1977-92 by Urs App to Home Page A B C D ... Z Jaffe, Richard. Work in Progress Dissertation on celibacy in Edo period Zen. "Tsung-mi: His Analysis of Ch'an Buddhism" T'oung Pao "Two Problems Concerning Tsung-mi's Compilation of Ch'an-tsang" Transactions of the International Conference of Orientalists in Japan "K'an Hui or the 'Comparative Investigation': The Key Concept in Tsung-mi's Thought" . In: C. S. Yu (ed. ) Korean and Asian Religious Tradition . Toronto: **. "Seng-chou's Method of Dhyana" (Whalen Lai and Lewis R. Lancaster, eds). In: Early Chan in China and Tibet . Berkeley: Asian Humanities Press. "Patterns of Chinese Assimilation of Buddhist Thought: A Comparative Study of No-Thought wu-nien in Indian and Chinese Texts" Journal of Oriental Studies 24, no. 1: 21-36. "Portrait and Self-Portrait: A Case Study of Biographical and Autobiographical Records of Tsung-mi" . In: Phyllis Granoff and Koichi Shinohara (eds) Monks and Magicians: Religious Biographies in Asia . Oakville / New York / London:: Mosaic Press. Japan Architect "Sanctuary and Zen Hall of the Temple Ryuun-in (Tokyo).

35. Database: Chinese Zen Masters (IRIZ) Kôyû. Nanyang huizhong, Nanyang hui-chung, , Nanyô Echû. Hôe.Yangshan Huiji, Yang-shan Hui-chi, , Kyôzan Ejaku. http://www.iijnet.or.jp/iriz/data/master00.en.html

Home Database > Chinese Zen Masters Database Pinyin Wade-Giles Kanji Romaji Baiyun Shouduan Hakuun Shutan Baizhang Huaihai Pai-chang Huai-hai Bajiao Huiqing Pa-chiao Hui-ch'ing Baofeng Kewen Pao-feng K'o-wen Bojian Jujian Hokkan Kokan Caoshan Benji Ts'ao-shan Pen-chi Changsha Jingcen Ch'ang-sha Ching-ts'en Chuji Ch'u-chi Shojaku Dahong Zuzheng Ta-hung Tsu-cheng Dahui Zonggao Ta-hui Tsung-kao Damei Fachang Ta-mei Fa-ch'ang Danxia Zichun Tan-hsia Tzu-ch'un Tanka Shijun Danyuan Yingzhen Tangen Oshin Daowu Yuanzhi Tao-wu Yuan-chih Daoxin Tao-hsin Daoxuan Deshan Xuanjian Tokusan Senkan Deshan Yuanmi Tokusan Enmitsu Dongshan Liangjie Tung-shan Liang-chieh Dongshan Shouchu Tung-shan Shou-ch'u Doushuai Congyue Fachi Fa-ch'ih Farong Fa-jung Fayan Wenyi Fa-yen Wen-i Fengxue Yanzhao Fenyang Shanzhao Fen-yang Shan-chao Fozhao Deguang Fo-chao Te-kuang Gaofeng Yuanmiao Guifeng Zongmi Kuei-feng Tsung-mi Guishan Lingyou Kuei-shan Ling-yu Hangzhou Tianlong Hang-chou T'ien-lung Heze Shenhui Ho-tse Shen-hui Kataku Jinne Hongran Hung-jen Gunin Huangbo Xiyuan Obaku Kiun Huanglong Huinan Huang-lung Hui-nan Huguo Jingyuan Gokoku Keigen Huifang Hui-fang Huike Hui-k'o Eka Huineng Hui-neng Huitang Zuxin Hui-t'ang Tsu-hsin Huiyan Zhizhao Hui-yen Chih-chao Huizhong Hui-chung Huoan Shiti Huo-an Shih-t'i Wakuan Shitai Huqiu Shaolong Hu-ch'iu Shao-lung Jingshan Daoqin Ching-shan Tao-ch'in Jingshan Ruyan Ching-shan Ju-yen Kinzan Nyoen Juzhi Gutei Kaifu Daoning K'ai-fu Tao-ning Lanxi Daolong Lan-shi Tao-lung Leian Zhengshou Lei-an Cheng-shou Linji Yixuan Rinzai Gigen Longtan Chongxin Lung-t'an Ch'ung-hsin Luohan Guichen

36. Hui Ear Yang Hui Ear Yang. Gender, F. Handicap class, 5. Country, Chinese Taipei.International records. Year, Event, Town, Results. 1999, FESPIC Championships, http://www.ipttc.org/players/women/hui_ear_yang/

Home Players' profiles Results Ranking list ... Update profile Hui Ear Yang Gender F Handicap class Country Chinese Taipei International records Year Event Town Results FESPIC Championships Taipei (Chinese Taipei) Bronze Women's doubles class 1-5 World Wide Games Christchurch (New Zealand) Silver Women's teams class 5 Taipei King Car Cup Taipei (Chinese Taipei) Gold Women's teams class 4-5 Bronze Women's singles class 5

37. ILCS Member - Hui Wen Yang Hui Wen Yang. Membership Status Active Affiliation Taiwan LCS AddressInst. of ElectroOptical Engineering National Chiao Tung http://www.ilcsoc.org/Members/Yang_Hui_Wen.html

Hui Wen Yang Membership Status: Active Affiliation: Taiwan LCS Address: Inst. of Electro-Optical Engineering National Chiao Tung University 1001 Ta Hsuech Road Hsinchu 300 Country: ROC TAIWAN FAX #: Phone #: Email: lydia.eo89g@nctu.edu.tw Interests: Liquid crystal technology

38. International Liquid Crystal Society Yamane Hirokazu. Yamashita Mamoru. Yang ChivLien. Yang Chung-Wei.Yang Deng-ke. yang hui Wen. Yang Kei-Siung. Yang Song-Ling. Yao I-An. http://www.ilcsoc.org/Y.html

ILCS Members, Last Name beginning with Y Yakovenko Sergei Ye Yamaguchi Rumiko Yamahara Motohiro Yamane Hirokazu ... Yuan Haijun (Hill)

39. IFILM Shorts Movie Clips Viral Video Commercials, home submit film help.IFILM, Credits, yang hui Shan, Actor Filmography A Book of Heroes (1986), http://www.ifilm.com/ifilm/people/people_index/0,4128,208075,00.html

window.name = "IFILMMain"; document.write(''); Home Help Send In Film/Video Video Preferences Sunday, March 30 Yang Hui Shan Actor: Book of Heroes IFILM Home Movies Shorts ... Hollywood Creative Directory

40. Curios8 tartajas” sinó d’en Tartaglia, més concretament el conegudíssim trianglede Tartaglia, atribuït també a Pascal o, en països asiàtics, a yang hui. http://www.xtec.es/~bfiguera/curios8.html

- “U; u, u; u, ... Niccolo Fontana Blaise Pascal Yang Hui La tercera fila es forma a partir del i etc. La quarta fila, per exemple: . La sisena Ara comencen els canvis: seria , etc. Vegem-ho: , etc. (a + b) n (a + b) = a + 2ab + b (a + b) = a b + 3ab + b Generalitzant el desenvolupament del binomi: (a + b) n = k a n + k a n-1 b + k a n-2 b + k a n-3 b + ... + k n-1 ab n-1 + k n b n k n k = k n k = k n-1 = n Nombre de combinacions possibles d’un conjunt de n elements agafats en grups de m elements. n! es llegeix "n factorial" i es calcula: n m C = 1 ,C = 3, C = 3, C A la quarta fila trobem: C = 1 ,C = 4, C = 6, C = 4, C , etc. C n,m representa el nombre de grups diferents de m elements que es poden formar a partir de n objectes, combinacions de n elements agafats de m en m C ; combinacions de 10 elements agafats de 4 en 4. nombres triangulars , etc. a n a n i a n-1 n Per ex.: , etc. + n + n - n) / 2 = 2n / 2 = n a n i a n-1 n Per exemple: + n - n + n) / 2 = 2n / 2 = n n i a n-1 , etc.

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