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Yang Hui information


Yang Hui triangle (Pascal's triangle) using rod numerals, as depicted in a publication of Zhu Shijie in 1303 AD.
1433 Korean edition of Yang Hui suan fa
Yang Hui's construction of 3rd order magic square

Yang Hui (simplified Chinese: 杨辉; traditional Chinese: 楊輝; pinyin: Yáng Huī, ca. 1238–1298), courtesy name Qianguang (謙光), was a Chinese mathematician and writer during the Song dynasty. Originally, from Qiantang (modern Hangzhou, Zhejiang), Yang worked on magic squares, magic circles and the binomial theorem, and is best known for his contribution of presenting Yang Hui's Triangle. This triangle was the same as Pascal's Triangle, discovered by Yang's predecessor Jia Xian. Yang was also a contemporary to the other famous mathematician Qin Jiushao.

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Yang Hui

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Yang Hui (simplified Chinese: 杨辉; traditional Chinese: 楊輝; pinyin: Yáng Huī, ca. 1238–1298), courtesy name Qianguang (謙光), was a Chinese mathematician...

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Michelle Rhee

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Michelle Ann Rhee (born December 25, 1969) is an American educator and advocate for education reform. She was Chancellor of District of Columbia Public...

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Loretta Yang

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Loretta Hui-shan Yang or Yang Hui-shan (Chinese: 楊惠姍) is a Taiwanese film actress and contemporary glass artist. She is a two-time winner of the Best...

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Magic square

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Yang Hui's Xugu zheqi suanfa (Continuation of Ancient Mathematical Methods for Elucidating the Strange) written in 1275. The contents of Yang Hui's treatise...

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Chinese mathematics

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particularly in the twelfth and thirteenth centuries: Yang Hui, Qin Jiushao, Li Zhi (Li Ye), and Zhu Shijie. Yang Hui, Qin Jiushao, Zhu Shijie all used the Horner-Ruffini...

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Diameter

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Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang List of geometers by period v t e...

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Emperor Hui of Jin

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Emperor Hui of Jin (simplified Chinese: 晋惠帝; traditional Chinese: 晉惠帝; pinyin: Jìn Huì Dì; Wade–Giles: Chin Hui-ti; 259 – January 8, 307), personal name...

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History of algebra

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earliest known magic squares of order greater than three are attributed to Yang Hui (fl. c. 1261 – 1275), who worked with magic squares of order as high as...

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Circumference

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Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang List of geometers by period v t e...

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Binomial theorem

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were known in the 13th century mathematical works of Yang Hui and also Chu Shih-Chieh. Yang Hui attributes the method to a much earlier 11th century text...

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Liu Hui

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length and used a notation system akin to the modern decimal system and Yang Hui (c. 1238–1298 CE) is considered to have introduced a unified decimal system...

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Hui people

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The Hui people (Chinese: 回族; pinyin: Huízú; Wade–Giles: Hui2-tsu2, Xiao'erjing: خُوِزُو, Dungan: Хуэйзў, Xuejzw) are an East Asian ethnoreligious group...

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Dimension

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Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang List of geometers by period v t e...

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Euclidean plane

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Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang List of geometers by period v t e...

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Geometry

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Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang List of geometers by period v t e...

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Amy Yang

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Amy Yang, also known as Yang Hee-Young (Korean: 양희영, born 28 July 1989) is a South Korean professional golfer, currently playing on the United States-based...

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A Touch of Zen

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repentance in order to surprise attack Abbot Hui, a battle begins in which Hsu is killed and Yang, Shi, and Abbot Hui are all badly injured (the latter bleeding...

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Line segment

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Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang List of geometers by period v t e...

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History of geometry

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including the famed astronomer and mathematician Shen Kuo (1031-1095 CE), Yang Hui (1238-1298) who discovered Pascal's Triangle, Xu Guangqi (1562-1633), and...

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Pythagorean theorem

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100 AD. It was extensively commented upon by Liu Hui in 263 AD. Philip D. Straffin Jr. (2004). "Liu Hui and the first golden age of Chinese mathematics"...

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Area of a circle

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Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang List of geometers by period v t e...

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Bernhard Riemann

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Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang List of geometers by period v t e...

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Perpendicular

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Minggatu Pascal Pythagoras Parameshvara Poincaré Riemann Sakabe Sijzi al-Tusi Veblen Virasena Yang Hui al-Yasamin Zhang List of geometers by period v t e...

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