generating function

By solving the probability equation,generating function and in-degree distribution was deduced.

构建一个加速生长网络,根据主方程建立了概率方程,应用母函数方法求解概率方程,获得了加速生长网络模型的母函数及入度表达式。

The paper expands generating function 、 as a continuous generating function 、 in 《Probabilty Theory,》 and makes the property of this generating function homologous expansion and modification,neglects complex function knowledge.

拓广了《概率论》中离散型母函数、为连续型母函数、,将原离散型母函数的性质作相应的修改,从而在实践应用中摆脱了复变函数的纠缠。

By using complementary variable method to analyze the state-changing equations of this queueing system, the generating function of stationary probablity distribution of retrial queue length, some performance indexes such as three different stationary state probablity,stationary availability, and stationary failure frequence of the transfer-unit are derived.

研究通信网络中交换单元的可修模型M1,2,3/G/1,呼叫的到达是重试性的,利用补充变量法对排队系统的状态转移方程作了分析,求得了重试队列稳态队长概率分布的母函数以及交换单元的处于三种不同状态下的稳态概率、稳态可用度及稳态故障频度等性能指标。

A class of strong deviation theorems and moment generating function method;

一类强偏差定理与矩母函数方法

Obtain the asymptotic formula for the moment generating function of the ratio of the occupation time and ε~(2N) as the radius ε tends to zero.

讨论d>2N情形的N指标d维可加布朗运动逗留时的极限性质,得到了半径ε趋于0时该逗留时与2εN的比率的矩母函数极限表达式。

In modeling heavy tails,we focus on multivariate t distributions and derive the moment generating function of the quadratic approximation.

在推导出多个外汇期权的投资组合的二次近拟的矩母函数表达式基础上,本文使用傅里叶变换、切比雪夫不等式、数值转换计算求出投资组合的VaR的值,并和基于多元正态分布Cornish-Fisher模型以及基于Delta-正态模型计算所得的VaR值了进行比较。

When we use the relationship of recursion to solve out ladder-shaped electronic network by the method of forming mother function,and prove a certain condition of series,the result of equivalent resistance can reach a certain value within some error range.

通过构造母函数的方法求解递推关系推导出梯形阻抗网络的等效阻抗,并证得当级数满足一定的条件时,等效阻抗的值在一定误差范围之内才能接近一个定值。

The traditional scalar magnetic model is transformed so that the scalar magnetic signal can be treated as a linear combination of three mother functions.

对传统的标量磁模型进行了变形 ,使得标量磁信号可以看成是 3个母函数的线性组合 ,对母函数的标准正交化使其成为信号子空间的一组标准正交基 ,利用信号在子空间中的逼近误差提出了一种新的基于标量信号的模型化检测方法 ,并进行了仿真 ,结果表明这种方法能够有效地检测目标信号 。

Based on Walsh spectrum, the spectrum mother function is presented as a new tool for studying potential error-correction capability.

利用Walsh-Hadamard变换实现纠错译码,对译码过程中生成的Walsh谱进行了深入分析,提出了Walsh谱母函数作为一种新的工具用于研究码的潜在纠错能力。

On Fibonacci sequence of the parent function method;

关于Fibonacci序列的母函数法

Resolving Problems of Permutations and Combinations with Generation Function;

利用母函数求解排列组合问题

In this paper, the theories of generation function and recursive relation in combinatorics is used to analyze the time complexity of some special recursive algorithm, with three conclusions reached simultaneously, which is of valuable reference to the analysis and research on algorithm.

提出了用组合数学中的母函数与递推关系理论来分析一些特殊的递归算法的时间复杂度,并同时得出三个推论,在算法的 分析与研究方面具有一定的参考价值。

In this paper,using the examples,based on generation function method to solve the problems of analysis of time complexity in complicated recurrence algorithm and the transform recurrence algorithm into efficient algorithm.

文章通过实例给出了采用母函数法同时解决递归算法的两个问题:复杂递归算法的时间复杂度的求解问题和递归算法到高效算法的转化问题,并由此设计出高效的组合算法。

By using some knowledge of generating functions, we solve a problem on the representations of F-L sequences.

用母函数的有关知识解决了F-L序列的一个表示问

In this paper,the general high order equal ratios sequence have been studied by generating functions and recursion relations.

母函数在数论、概率论和图论等数学分支中有着广泛的应用领域。

It is presented that a general form of generating functions of two-parameter generalized regular additive flows.

给出二参数广义正则随机事件流的定义，讨论它的基本性质，给出二参数广义正则可加随机事件流的母函数的一般形式。

A non-Gaussian approximation method,based on the moment generation function of the decision statistic and saddle-point approximation,is introduced to evaluate the statistic characteristics of multi-access interference,shot noise and thermal noise and crosscorrelation.

为了精确分析相位编码光码分多址系统误码率性能,提出了一种基于判决变量的矩母函数和鞍点近似的非高斯近似方法,该方法能够精确考虑多址干扰、散粒噪声、热噪声各自的统计特性和相互间的非加性关系。

The solutions are mainly depended on the general generating function of Ⅱ distribution.

设集合X ={1 ,2 ,…n},本文给出了下列定义 :集合X中距离大于m的子集 ,距离小于m的子集 ,距离等于m的子集 ,文中把求集合X的这些特殊的子集的个数转化为求相应方程的整数解的个数 ,并且讨论了这些特殊子集个数之间存在的联系 ,其中对方程整数解个数的求解主要借助于Ⅱ型分配中的普母函