This paper uses the set theory,derivation principles and probability method to give a direct and simple solution to several important combinatorial identities.
组合恒等式在组合数学中占有重要的地位,它有多种证法,运用集合论的观点,求导法则和概率方法对几个重要的组合等式给出了直观简洁的证明。
In this paper, some combinatorial identities are proved based on binomial generating function.
以二项式作为生成函数,给出了几个组合恒等式证明。
The way to construct a generalized generating function is one of the valid paths for the proof of combinatorial identities.
其结构简单,组合意义明确,是证明组合恒等式的有效途径。
The new methods of proving combinatorial identity;
组合恒等式新的证明方法
Vandermonde typed determinant and combinatorial identity
Vandermonde类型行列式与组合恒等式
An important combinatorial identity in the study of universal approximation of fuzzy neural network was proved.
针对模糊神经网络的泛逼近性研究中遇到的一个重要组合恒等式问题,借助于二项式定理的展开式,反复通过配项、拆项、求导数等初等方法,从而巧妙地获得了证明,该组合恒等式的证明直观扼要,为进一步研究模糊神经网络的泛逼近性问题提供了一种有效途径。
Load and loads combination in BS5400 codes;
BS5400规范中的荷载及荷载组合
Vandermonde typed determinant and combinatorial identity
Vandermonde类型行列式与组合恒等式
A Combinatorial Identity with Fibonacci Number and Its Generalization;
含有Fibonacci数的一个组合恒等式及其推广
Combinatorial Identity Involving Generalized Fibonacci Numbers
涉及广义Fibonacci数的组合恒等式
Proof of Three Famous Combinatorial Identities by WZ Method
用WZ方法证明3个著名组合恒等式
On the Combinatorial Identities and the Mean Values of Some Interesting Sequences;
关于一些有趣数列的组合恒等式及其渐近公式
Application of Binomial Coefficient as Generating Function in the Proof of Combinatorial Identities;
二项式函数在组合恒等式证明中的应用
Hypergeometric Series Method for Riemann-Zeta Function and Combinatorial Identities;
Riemann-Zeta函数的超几何级数方法和组合恒等式
Applications of Inverse Relations in WZ Theory and Combinatorica Identities;
反演关系在WZ理论及组合恒等式中的应用
Equation about Generalized Fibonacci Sequence in Terms of Integral Method
用积分方法研究涉及广义Lucas数的组合恒等式
Combinatorial Identities' Proof and Research on the Generalized Bernoulli and Euler Polynomials
若干组合恒等式证明及广义的Bernoulli多项式、Euler多项式探析
Combinatorial Identities Involving the Binomial Coefficients and Several Integer Sequences;
涉及二项式系数倒数和与几个整数序列的组合恒等式的研究
A Group of Identities of Squared Combination of Fibonacci Number and Lucas Number;
Fibonacci数与Lucas数平方组合的一组恒等式
On a Group of Identity of linear Combination of Fibonacci Number and Lucas Number;
Fibonacci数与Lucas数线性组合的一组恒等式
An Identity about Lucas Numbers
有关Lucas数一个组合的恒等式
Combinatorial Proofs of a Kind of Binomial and q-binomial Coefficient Identities
一类二项式和q-二项式系数恒等式的组合证明
q-Analogue and Combinatorial Proof of Identities on the Vector Space;
向量空间上恒等式的q-模拟及组合证明
By n-Component Sequenct Provt Binomial Coefficient Identities;
用二元n维序列证明一些组合系数恒等式
An identity involving letters is true for any set of numerical values of the letters in it.
包含字母的恒等式对于式内字母的任何一组数值都是适合的。