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杨辉三角形的若干性质 被引量:3

Several Properties of Pascal′s Triangle
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摘要 研究了杨辉三角中的D av id星恒等式,给出了n阶星恒等式的定义,证明了n(n 3)阶星恒等式的存在性,并且给出了构造n阶星恒等式的方法. In this paper, we study the star equality of David in Pascal's triangle, give the definition of the star equality of order n, prove the existence of the star equality of order n for n 2≥3, and produce a method for constructing the star equality of order n.
出处 《数学的实践与认识》 CSCD 北大核心 2007年第1期116-120,共5页 Mathematics in Practice and Theory
关键词 杨辉三角形 David星恒等式 n阶星恒等式 形式组合式 Pascal's triangle star equality of David star equality of order n formal composing formula
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参考文献3

  • 1杨胜良.Pascal三角形与Pascal矩阵[J].数学的实践与认识,2003,33(2):96-100. 被引量:11
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二级参考文献1

  • 1北京大学数学系.高等代数[M].北京:高等教育出版社,1988..

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  • 1吴效显,赵赞.杨辉三角形的推广[J].山东师范大学学报(自然科学版),1994,9(2):122-123. 被引量:4
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  • 3Aceto L, Trigiante D. The matrices of Pascal and other greats [J]. Amer. Math Monthly, 2001, (108) :232 -245.
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