研究了分支随机转移矩阵与随机生成母函数的关系。
The relation of branching random transition matrix and random generating function are investigated.
母函数是研究用递推关系来确定的函数的最理想工具。
Generating functions are an ideal tool for studying sequences defined by recurrence.
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。
The concepts of branching random Q matrix, branching random Q process and random generating function are introduced.
通过补充变量法和状态转移方程求得了系统稳态队长的概率母函数。
The effects of the shapes and dimensions of table tennis bat on table tennis ball head on impact probability have been investigated by an analytical method of probability function.
母函数在组合数学中有着重要的地位，是解决组合问题的强有力的工具。
Master function has an important status in combinatorics. It is a powerful tool in solving combinatorics problems.
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。
A general form of generating function of two parameter stationary streams of random events with independent increments is represented briefly.
这项技术用来消除机械状态监测以及其他相关领域的母函数故障分类的缺陷。
This technique has been eliminated the drawbacks of the type of mother function for fault classification purpose not only in machine condition monitoring, but also in other related areas.
本文利用母函数和递推关系求解一般高阶等比序列，得到了这类序列的一般解。
In this paper, the general high order equal ratios sequence have been studied by generating functions and recursion relations.
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。
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.
本文论述了母函数与递归数列的关系，并探讨了用母函数求解递归数列的方法。
In this paper, we discuss the relation between master function and recursion, and the approach in solving recursive relation by master 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。
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.
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。
By using the supplemental variable method and the state transfer analysis the queue generating function is obtained.
在对分支过程性态的研究中，前人的研究工作都是借助矩母函数这一工具来实现的。
The generating function was adopted to research the behavior of branching processes in the former research.
应用母函数法研究问题，可以得到系列结果，这是一种辩证性、总括性以及构造性的思维方式。
That the study problem applying on the parent function method can get a series of results. This is a king of thinking with dialectical, sum up, and structural.
介绍了由大气折射母函数方法引出的大气延迟新连分式映射函数和天文大气折射的映射函数方法。
A new continued fraction form of the mapping function deduced from the generator function method is applied into both the atmospheric delay and the astronomical refraction.
介绍了由大气折射母函数方法引出的大气延迟新连分式映射函数和天文大气折射的映射函数方法。
Describing the astronomical refractive mapping function and a new continued fractional mapping function derived with the atmospheric refractive generator function method.
利用“图型序列的母函数”所给出的图型序列生成函数的性质，本文导出一些重要特殊图的生成函数。
The generating function of some special graphs is deduced by making use of the properties concerned in the generating function of graphical sequences.
在证明中采用了一种把网微分法与条件矩母函数相结合应用于随机选择系统强极限定理研究的一种途径。
In the proof, the tools of the conditional moment generating function and the differentiation on a net for the study on strong limit theorems in the random selection system are applied.
本文对批到达离散时间轮询系统进行研究，在门限服务原则下，推出了顾客等待时间和轮询周期的概率母函数。
For gated service discipline, the generating functions of waiting time of customer and polling cycle time are derived, and, by using Markov chain theory, mean of queue length is obtained.
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。
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.
利用接收信噪比矩母函数和误符号率之间的关系，并且对复球体的球帽表面积做近似处理得到误符号率的下边界。
Exploiting the relation between MGF of the received signal-to-noise ratio (SNR) and SER, the lower bound of SER is obtained by utilizing the approximation of complex cap surface in this dissertation.
以光滑函数的一阶导数作为小波母函数 ，研究了管道泄漏特征信号拐点区间的敏感性 ，突出小波变换系数的局部极值性。
The differential coefficient of smooth function was taken as a mother wavelet for researching the sensitivity segment of inflexion of pipeline leakage signal.
将GERT网络技术应用于桥梁施工进度控制，通过分析矩母函数、梅森公式阐述了GERT网络的解析法，提出确定工序参数的方法。
The analytic calculation of GERT network was presented by solving moment function and Mason formula to determine the construction procedure parameters.
采用补充变量法，首先建立了系统稳态下的状态转移方程，通过求解得到了稳态下系统队长的概率母函数，进而计算出稳态下系统的平均队长。
A supplementary variable technique is used to obtain the steady-state function and the steady-state probability generation function of the number of customers in the system.
本文采用补充变量法，首先建立了系统稳态下的状态转移方程，通过求解得到了稳态下系统队长的概率母函数，进而计算出稳态下系统的平均队长。
A supplementary variable technique is used to obtain the steady-state function and the steady-state probability generation function of the number of customer in the system.
推导了多层介质中透射电磁波的电场振幅与介质表面入射电磁波电场振幅之间的关系式，引入了一个母函数，通过微分可以生成介质各层中的透射波。
In this paper the relations between the amplitudes of electromagnetic waves propagating in multilayer media and those of incident waves on surface are deduced.
推导了多层介质中透射电磁波的电场振幅与介质表面入射电磁波电场振幅之间的关系式，引入了一个母函数，通过微分可以生成介质各层中的透射波。
In this paper the relations between the amplitudes of electromagnetic waves propagating in multilayer media and those of incident waves on surface are deduced.
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