identity n. 1.同一,一致;同一性。 2.本体;正身;个性。 3.【逻辑学】同一性。 4.【数学】恒等(式)。 an identity card 身份证,居民证。 an identity disk [tag] (士兵的)证章。 systems suited to its national identity 符合自己民族特点的制度。 national identity 民族面貌。 the principle of identity 【逻辑学】同一律。 establish [prove] one's identity 证明身份。 mistaken [false] identity 认错人。 no matter what their identity 无论什么人。 sink one's identity 隐瞒历史。
We establish a class of combinatorial identity involving two sequences and a partial sum of the binomial coefficients, which contain a lot of new and curious combinatorial identities as its special cases 建立一类包含序列与二项系数部分和的组合恒等式,得到许多新的奇异的组合恒等式。
We establish a class of combinatorial identity involving two sequences and a partial sum of the binomial coefficients, which contain a lot of new and curious combinatorial identities as its special cases 建立一类包含序列与二项系数部分和的组合恒等式,得到许多新的奇异的组合恒等式。
Some identitiess are important in function theory, combinatorial mathematics, analytic theory of number and other regions . in this paper, some combinatorial identities are proved based on binomial generating function 摘要一些恒等式在函数论、组合数学、解析数论等学科的研究领域中极为重要。以二项式作为生成函数,给出了几个组合恒等式证明。
The main purpose of this paper is using the combinations formula ( the equation is abbreviated ); complex analysis and the elementary method to study the combinatorial number, and give some new interesting combinatorial identities of combinatorial number reciprocal : ( the equation is abbreviated ) 摘要在熟知的组合恒等式(方程式略)的基础上,利用复变函数初等方法,得出组合数和的一组非常有趣组合恒等式,即(方程式略)等。
Based on these, the applications are displayed specially on combinatorial identities involving various combinatorial sequences . interesting that the hankel determinants of the catalan-like numbers of the first kind may be expressed in the catalan-like numbers of the second kind 特别显示了它在包含各种组合序列的恒等式方面的作用,在此基础上,得到第一类catalan-like数的hankel行列式可以用第二类catalan-like数来表示。
The main work of the paper is summarized as followings : the algorithm is improved somewhat, the algorithm is implemented in pc by mathematica software and the effectivity is proved to by testing all the examples that have been proved by d . zeilberg and h . wilf using wz-pair method and testing many identities of the book named " combinatorial identities ", which was written by h . w . gould in 1972 本文的主要结果为:对算法作了一定的改进;在微机上,用数学软件mathematica实现了这种算法;试算了d.zeilberg和h.wilf用wz对方法算过的所有例题,对h.w.gould的一本名为“combinatorialidentities”的书中大量恒等式也作了验证。
3 . interpret the contents both on the pile and difference in precious mirror of the four elements ( si yuan yu jian ) and the arithmetical triangle in treat on the arithmetical triangle ( traite du triangle arithmetique ) . both works are the much earlier books study the combinatorial identities in system 三、用现代组合符号解释了中国朱世杰的《四元玉鉴》中垛积招差部分和帕斯卡的《论算术三角形》内容,指出这两部著作是东、西方对组合恒等式研究的较早的系统论著。