利用二元矩阵证明组合恒等式  

Proof of Combinatorial Identities from Binary Matrices

作　　者：高茜[1] 崔俊明 GAO Qian;CUI Jun-ming(Department of Basic Courses,Hebei Vocational College of Geology,Shijiazhuang 050081,China)

机构地区：[1]河北地质职工大学基础部,河北石家庄050081

出　　处：《数学的实践与认识》2020年第18期283-287,共5页Mathematics in Practice and Theory

摘　　要：利用有限集|n|上子集的相交关系构作了一个二元矩阵,利用这个二元矩阵证明了一些组合数恒等式,利用有限向量空间Fq(n)上子空间的相交关系构作了另一个二元矩阵,利用这个二元矩阵证明了一些高斯系数恒等式.A binary matrix is constructed by the intersection relation of subsets in finite set[n],and some combinatorial identities is proved by this binary matrix.Another binary matrix is constructed by the intersection relation of subspaces in finite vector space Fq(n),and some Gaussian coefficient identities is proved by this binary matrix.

关 键 词：二元矩阵 相交关系 组合恒等式 有限向量空间Fq(n) 高斯系数恒等式 

分 类 号：O57[理学—粒子物理与原子核物理]