随机函数

The noise frequency modulation signal was particularly analyzed. The Fokker-Planck equation of noise frequency modulation was presented and the Motion-Group Fourier Transform was used by converting the partial differential equation into the variable coefficient homogenous linear differential equations. Then the solutions were given by using the peano-baker series. So the probability density function of noise frequency modulation in the filter was given. On the basis of the probability density function the stochastic resonance of noise frequency modulation signal is analyzed.

首先建立了噪声调频干扰信号通过脉冲压缩雷达中频滤波器后所满足的福克尔－普朗克方程，然后利用群移傅立叶变换（Motion-Group Fourier Transform，MGFT）将此偏微分方程化成了变系数齐次线性微分方程组，并利用Peano-Baker级数法给出了该方程组的解，最后得到了噪声调频干扰信号通过脉冲压缩雷达中频滤波器后的概率密度函数，在此基础上研究了噪声调频干扰信号造成的随机共振现象。

Since the concept of NA have a lot of applications in multivariate statistical analysis, reliability theory and percolation theory, various aspects of NA are significant and have been investigated by a host of scholars Fist, we give some Fuk-Nagaev type probability inequalities, moment inequalities of maximal partial sum for sequence of NA random variables, and some strong law of large numbers and complete convergence for sequence of NA random variables are obtained.

在本论文中我们对不要求强平稳或同分布的NA随机变量列进行了多方面的研究：首先对NA列建立了一组具有NA特点的关于最大部分和的Fuk-Nagaev型概率不等式及其关于某一类特定函数的矩不等式，它们在后续给出的极限定理的证明中发挥着重要作用；研究了具有不同分布的NA列的强收敛性，如对NA列建立了更一般条件下的Wittmann型强大数律及完全收敛性，同时也进一步改进了R。

In chapter three, it assumes that each retailer and distribution center implement periodic review and the same ordering policies, each retailers' demand is independent identical distributed random variables during the different periods, the lead-time is not completely same constants, and the k-fold convolution of the demand distribution functions is closed.

第三章，假设每个零售商和分销中心实行周期盘点，并采用相同的订货策略，多个零售商的需求在不同的周期是相互独立的随机变量，两级分销系统内的交货时间是不全相同的常量，零售商需求的分布函数之k重卷积是封闭的。

In chapter five,we study a general cosine－forced stochastic system and derive the equilibrium time correlation function using the perturbation theory and the linear response theory respectively.

在第五章中，我们分别用微扰理论和线性相关理论研究了有余弦周期信号输入的随机系统的动力学量的平衡时间关联函数。

At last, the MC method,PPEM, and the frequency transfer function perturbation method have been used to analyze the effect of structural random damping onstructural displacement.

在论文的最后，利用Monte Carlo法、摄动虚拟激励法、频域传递函数摄动法研究结构随机阻尼对结构位移响应的影响。

In this method,the image is transformed two times with anamorphic fractional Fourier transform and modulated two times by random phase function in the original image plane and the fractional domain separately.

对要加密的图像分别进行两次变形分数傅里叶变换和两次随机相位函数调制，使加密图像的密钥由原来两重增加到六重。

A good use of the integer type, the biggest 9999990 to support the decimal integer, It can perform large integers, plus or minus, multiplication, addition and modular, with a big round of the largest factions, extended Euclidean algorithm, the Chinese remainder theorem algorithm, Miller - Rabin primality testing algorithm, random generation of arbitrary integer spaces such as libraries, This kind of dynamic library has been used for commercial software, the reliability and speed is affirmed.

一个很好用的大整数的类，最大可支持9999990位的十进制整数，可进行大整数的加、减、乘、除和取模运算，并带有求大整数的最大公因数、扩展Euclidean算法、中国剩余定理算法、Miller-Rabin素性测试算法、随机生成任意位的大整数等函数库，这个类的动态库曾用于商业软件之中，其可靠性和速度是得到确认的。

Based on full-probability, a new solving method for probability density of natural frequency of a stochastic truss is proposed.

对随机桁架固有频率的概率密度函数提出了一种求解方法。

Based on the definition of marginal cost and the technology of probabilistic costing,this paper provides a method for forecasting the expected value and probability distribution function of the short\|run marginal cost of power generation for a given time interval.

基于边际成本的定义和随机生产模拟技术，提出一种短期发电边际成本的概率学预测方法，不仅能给出发电边际成本的均值，而且能得到其概率分布函数。

It inherits the advantage of PF, representing multiple uni-modal distribution instead of calculating probability distribution function explicitly.

该方法继承PF的优点，不需要直接求解概率分布函数，而是用随机采样得到的样本集合来表示机器人的位姿信度分布及其不确定性。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。