查询词典 generating function

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

Performing the continued fraction expansion of the generating function corresponding to Al-Alaoui rule to obtain discrete approximation is better than the others.

研究表明，对分数阶控制系统进行离散化时，采用Al-Alaoui法和连续分数展开法相结合的方法可以得到较好的结果。

The model adopts cumulant generating function to analyze path-level packet transmission probability from end-to-end measurements and estimate link-level packet transmission probability.

该模型基于端到端的测量方式，采用累积母函数对网络路径级数据包通过率进行分析，估计出网络链路级数据包通过率的统计信息。

In chapter 2 the strong deviation theorems for functions of series of discrete random variables are given. Here we construct a moment generating function and a convergent martingale .

本文第二章用矩母函数构造一收敛鞅，利用截尾法和单调函数的性质，证明了离散型随机变量序列泛函的强偏差定理。

Aim\ To study the asympototic estimation for extinction probability in two environment states Smith Wilkinson BPRE with fractional linear probability generating function.

目的 探讨具有分式线性概率母函数两环境状态 Smith-Wilkinson BPRE灭绝概率的渐近估计。

And giving the way to own the biggest coefficient in an inferior expansion; The third is that showing the mathematic expectation for multinomial distribution, covariance matrix, characteristic function as well as generating function; Finally, introducing some application instances about gaining maximum value and some simple applications of multinomial distribution in reality.

并且给出了M项N次多项展开式中最大系数的求法；3。介绍多项分布的数学期望、协方差阵、特征函数以及母函数；最后，介绍多项分布最大值求法的应用事例以及多项分布在实际中的简单应用。

The output probability distribution of charge carrier multiplier structure from the electron multiplying charge-coupled device and its influence on image uniformity are studied. The probability model is established for the CCM structure of EMCCD. And based on the probability generating function and its properties, the probability distribution function of multiple CCM stages is deduced and its application in improving image uniformity is also discussed.

为了研究电子倍增电荷耦合器件中电荷载流子倍增结构的输出概率分布及其对图像均匀性的影响，建立了EMCCD中CCM结构的概率模型，利用概率生成函数推导了多级CCM倍增结构的输出概率密度函数，讨论了PDF在提高图像均匀性中的应用。

Aiming at complicated computing and difficulty of being realized when extending single sensor PHD filtering to the multi-sensor case by means of probability generating function, a multi-sensor multi-target sequential particle-PHD tracking algorithm is proposed based on the thought of sequential filtering for a centralized fusion system. The algorithm chooses the importance density function with regard to every sensor, and updates sample particle of every sensor layer by layer.

当采用概率母函数将单传感器PHD滤波推广到多传感器情形时，针对计算繁琐，难于实现的问题，本文基于集中式融合系统的有序滤波思想，提出多传感器、多目标有序粒子PHD跟踪算法，该算法通过选取与各传感器相关的重要性密度函数，层层更新各传感器的采样粒子，达到多传感器多目标有序PHD跟踪。

In the point reactor model, the probability function(n, t0, t) of a source neutron at time t0 leading to n neutrons at time t is dealt with. The non-linear partial differential equation for the probability generating function G(z; t0, t) is derived. By solving the equation, we have obtained an approximate analytic solution for a slightly prompt supercritical sys tem.

在点堆模型基础上，考虑了在t0时刻系统引入一个源中子，在t时刻产生n个中子的概率(n， t0， t)推导了概率生成函数G(z； t0， t)所满足的偏微分方程，并得到了近似解。

Introduced the mathematics theories foundation of the symplectic schemes, include the commonly established methods for construction symplectic schemes, which are symplectic Runge- Kutta method, symplectic propagation techniques and generating function method. A minimization of the truncation error-function and optimal Courant-Friedrichs-Levy number schemes are well established using sympletic propagation techniques.

介绍了辛算法的数学理论基础，包括辛算法常见的构造方法：辛Runge-Kutta法，辛传播子技术及生成函数法，利用辛传播子技术结合误差最小化及稳定性Courant-Fredrichs-Lewy条件数最大化的两种优化方案，构造了新的传播子系数；(2)。

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Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。