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字词 杨辉三角
释义 杨辉三角Yáng Huī sānjiǎo二项式(ɑ+b)的n(n=0,1,2,3,…)次方展开式的系数依次可排列成一个三角形的数表{Yang Hui Triangle; the coefficients of the binomial (a+b), where n=1, 2, 3 ..., can be arranged into a triangle of numbers as follows; known in the West as Pascal's triangle}:
1 1 1 1 2 1 1 3 3 1 1 4 6 4 11 5 10 10 5 1这个数表见于我国南宋数学家杨辉的《详解九章算法》,后来叫做杨辉三角。因《详解九章算法》指出北宋数学家贾宪已用这个数表开高次方,所以也叫贾宪三角。{This chart can be seen in Detailed Annotations of Mathematics in Nine Sections by Yang Hui, a mathematician of the Southern Song Dynasty, later called the Yang Hui Triangle. According to the book, Jia Xian, a mathematician of the Northern Song Dynasty, had used this chart in the extraction of high-degree roots, therefore it is also called the Jia Xian Triangle.}
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更新时间:2025/6/5 22:26:36