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・ Jiang Chunfang
・ Jiang Chunyun
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・ Jia Yi's Former Residence
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・ Jia Yubing
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・ Jia Yunbing
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Jia Xian : ウィキペディア英語版
Jia Xian

Jia Xian (; ca. 1010–1070) was a Chinese mathematician from Kaifeng of the Song dynasty.
==Biography==
According to the history of the Song dynasty, Jia was a palace eunuch of the Left Duty Group. He studied under the mathematician Chu Yan, and was well versed in mathematics, writing many books on the subject. Jia Xian invented the Pascal's triangle (Jia Xian triangle) around the first half of the 11th century, about six centuries before Pascal. Jia used it as a tool for extracting square and cubic roots. The original book by Jia entitled ''Shi Suo Suan Shu'' was lost; however, Jia's method was expounded in detail by Yang Hui, who explicitly acknowledged his source: "My method of finding square and cubic roots was based on the Jia Xian method in ''Shi Suo Suan Shu''."〔Wu Wenjun chief ed, ''The Grand Series of History of Chinese Mathematics'' Vol 5 Part 2, chapter 1, Jia Xian〕 A page from the ''Yongle Encyclopedia'' preserved this historic fact.
Jia Xian's additive-multiplicative method implemented the "Horner" rule.〔Jean-Claude Martzloff, ''A History of Chinese Mathematics'' Springer, p142〕

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