| 用组合方法证明Gaussian系数恒等式 |
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| 引用本文： | 周恩,赵燕冰.用组合方法证明Gaussian系数恒等式[J].数学的实践与认识,2012,42(11):264-268. |
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| 作者姓名： | 周恩 赵燕冰 |
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| 作者单位： | 1. 海南软件职业技术学院基础部,海南琼海,571400
2. 张家口职业技术学院基础部,河北张家口,075000 |
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| 基金项目： | 海南省2010年度自然科学基金 |
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| 摘 要： | 设F_q是q个元素的有限域,其中q是素数的幂,F_q~n是F_q上n维向量空间,用n/m]_q表示Gaussian系数,它可看作为F_q~n的m维子空间的个数.用组合方法证明了几个Gaussian系数恒等式.
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| 关 键 词： | Gaussian系数 组合方法 有限域 子空间 阶梯形矩阵 |
Proof of Gaussian Coefficient Identities from Combinatorial Method |
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| ZHOU En
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ZHAO Yan-bing.Proof of Gaussian Coefficient Identities from Combinatorial Method[J].Mathematics in Practice and Theory,2012,42(11):264-268. |
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| Authors: | ZHOU En ZHAO Yan-bing |
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| Institution: | 1.Department of Basic Courses,Hainan College of Software Technology,Qionghai 571400,China) (2.Department of Basic Courses,Zhangjiakou Vocational and Technical College,Zhangjiakou 075000,China) |
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| Abstract: | Let F_q be a finit field with q elements,where q is a pawer of a prime and F_q~n be the n-dimensional row vector space,and denote the Gaussian coefficient by(?)]_q which as numbers of subspaces over F_q.Some Gauusian coefficient identical relations are proved by the combinatorial method. |
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| Keywords: | Gaussian coefficient combinatorial method finite field subspace echelon matrix |
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