• This paper gives an explicit solution to linear non-homogeneous recurrence relations with constant coefficients by means of generating function.

    应用生成函数的方法求出了常系数非齐次线性递推式的显式解。

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  • 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。

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  • The relation of branching random transition matrix and random generating function are investigated.

    研究了分支随机转移矩阵与随机生成母函数的关系。

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  • A closed form for the exponential generating function of the generalized Cauchy Numbers is obtained.

    对该数的指数型生成函数,得到了它的封闭形式。

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  • The concepts of branching random Q matrix, branching random Q process and random generating function are introduced.

    引进了分支随机Q矩阵、分支随机Q过程和随机生成母函数的概念。

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  • By using the supplemental variable method and the state transfer analysis the queue generating function is obtained.

    由补充变量法和状态转移方程的分析得到了稳态队长分布的广义概率母函数表达式。

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  • By inverse technique and generating function, we generalize Vinh's two identities of derangements to a more setting.

    利用反演技巧与生成函数,把Vinh关于错排数的两个恒等式推广到更一般的情况。

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  • The universal generating function (UGF) is an important approach to the analysis of the reliability of a multi-state system.

    发生函数(UGF)是多状态系统可靠性分析的重要数学手段。

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  • The mean acquisition time of the FSASE method is derived by the generating function flow graph technique for the fading channel.

    文中采用生成函数流图法推导出了衰落信道下FSASE算法平均捕获时间的闭式解。

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  • By using this method, we deduced the probability generating function of the binomial distribution in the Markov dependent sequence.

    利用这一方法推导了在马氏相关序列下的二项分布的概率函数。

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  • A general form of generating function of two parameter stationary streams of random events with independent increments is represented briefly.

    并用比较简单的方法给出二参数平稳无后效随机事件流的母函数的一般形式。

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  • And finally, this tool-the generating function-can be used to get some expectation and variance of random variable of continual-type non-negative distribution.

    最后利用母函数这一工具求得一些连续型非负分布随机变量的数学期望及方差。

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  • An expression for the mean and covariance matrix of normal random matrix polynomial is derived by applying the method of matrix differentiation to generating function.

    本文应用对母函数微分的方法得到正态随机矩阵多项式的均值与协差阵的表达式。

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  • In our new method, an earthquake‐like sound is generated by modifying the frequency information of a generating function based on the symmetric Fourier analysis theory.

    这种类似地震的声音是通过修改基于对称傅里叶分析理论生成函数频率信息而生成的。

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  • In this paper, using the property of trace of matrix and the method of generating function, we obtain all the eigenvalues of a matrix which appears in stability analysis.

    利用矩阵的迹的性质和发生函数方法,给出了稳定性分析中一个矩阵的所有特征值。

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  • The main purpose of this paper is using the element ary method and the generating function of Laguerre's Polynomials to give some id entities involving Laguerre's Polynomials.

    利用初等方法及拉盖尔多项式的生成函数给出一类包含拉盖尔多项式的恒等式。

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  • Based on microstate generating function, a term generating function and atomic terms were obtained. The method is suitable for both equivalent and nonequivalent electronic configurations.

    这种推引原子谱项的方法适用于各种等效和非等效电子组态的原子体系。

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  • This paper describes the generating function and index-generating function in combination count, with counts, recursive relationship, combined identity and integral split in some applications.

    本文主要介绍了母函数与指数型母函数在组合计数、排列计数、递推关系、组合恒等式和整数拆分中的一些应用。

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  • This paper describes the generating function and index-generating function in combination count, with counts, recursive relationship, combined identity and integral split in some applications.

    本文主要介绍了母函数与指数型母函数在组合计数、排列计数、递推关系、组合恒等式和整数拆分中的一些应用。

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