分布导数

Angular noise correlation time has great influence on the linewidth in the intensity spectrum.

标 签 泛函导数定态强度分布一级相变类比瞬态解本征值 functional derivation steady-state intensity distribution first-order-like phase transition instantaneous solution eigenvalue

In this research a new mathematical model - cubic polynom with two given derivatives at end points - was proposed which can good match the S-shpae curve.This model has a number of analytical features:describing the geographic phinomena prosesses in three hierarchies (textural fractal,structural fractal and state fractal); the boundary values of the structural fractal can be considered as the boundary values of interval of scaleless.

在研究中提出了扩展分维表达函数：带导数三次多项式，它能很好地表达反S形分布曲线，具有一系列解析特征：可从三个层次（纹理分形、结构分形和态势分形）上描述地理现象或过程；其中结构分形的边界可近似地看作是非扩展分维无标度区的上下界。

Then, using the derivatives of the two dimensional normal cumulative distribution function with respect to its variables of parameters, the sensitivity measure of the failure probability of the parallel system or the unconditional up-crossing rate of the combined process can be determined.

最后利用经典的时不变可靠性分析方法确定并联系统的失效概率，并利用二维正态分布函数的导数特性确定失效概率的敏度。

Firstly, with Gaussianizing filter being defined explicitly, a practical method on filtering performance evaluation is given. Secondly, two typical Gaussianizing filters are studied. One is called the U-filter, based on the probability density function and its derivate. The other is called the G-filter, based on the cumulative distribution function and its inverse. After implementation, mechanisms and performances of each filter are contrastively discussed, an example with lake trial is illustrated.

本文给出高斯化滤波的定义和效果评价方法，然后对比研究了基于概率密度函数及导数的U滤波和基于累积分布函数及反函数的G滤波两种高斯化实现方法、原理与性能，并使用一组测试数据刚试了它们各自的高斯化效果。

We construct an explicit finite difference approximation for the equation by using the equivalence relation between Riemann-Liouville fractional derivative and Grünwald-Letnikovmake fractional derivative.

再利用Riemann-Liouville分数阶导数与Grtinwald-Letnikov分数阶导数之间的等价关系，构造一显式有限差分近似，这一离散格式可以解释为一个随机游走模型，并且收敛于稳定的概率分布。

And we show that random walk model converges to the stable law of Lévy-Feller advection-dispersion equation by use of a properly scaled transition to vanish-ing space and time steps,We propose an explicit finite difference approximation for Lévy-Feller advection-dispersion equation.

第三章讨论描述服从某种稳定分布反常扩散的非对称空间分数阶对流-扩散方程——Lévy-Feller对流-扩散方程，首先利用Fourier变换和Laplace变换给出方程的基本解，然后利用Grünwald-Letnikov分数阶导数移位离散算子离散方程中的Riesz-Feller分数阶导数得到离散格式，证明此格式可以解释为离散随机游走模型，并且证明了当时间和空间步长以一定的比率同时趋于0时，所提出的离散随机游走模型收敛到Lévy-Feller对流-扩散过程的稳定分布。

Third,a semi-numerical method that uses finite difference for time toreplace Laplace transform for time is presented.

第三，提出了分布参数系统的半数值解析方法，通过对时间导数项用配置法进行差分离散，避免了Laplace变换。

Based on the analysis and summary of basic ideas and methods,this thesis proposes two new estimation of error of higher order approximation.

方法二是在等距分布的条件下，基于三次样条插值函数的三弯距算法，通过利用节点处弯距的加权和近似计算区间中点处的二阶导数。

The model of programmed crystallization of SPM was proposed based on the moment transformation of the population considering the agglomeration. The optimal temperature-time curves in a batch crystallizer which maximized the terminal mean size and mean weight size can be determined from the application of the Pontryagin Maximum Principle. The calculated crystallization results heating under optimal temperature were compared with ones under linear or natural heating temperature.

根据第四章所得到的螺旋霉素晶体二次成核和晶体生长和布朗扩散引起的聚集动力学，利用第六章所描述的晶体尺寸分布的各阶矩对时间的一阶导数所构成的自封闭的一阶常微分方程组，采用庞得里亚金极大值原理，以温度为控制变量，在满足某些约束条件下，以最大平均尺寸和最大晶体重量平均尺寸为性能指标，计算出了螺旋霉素间歇结晶的最优温度—时间曲线，并同线性加热和自然方式进行了比较。

The probability function is definitely a derivative of the Boltzmann probability distribution function.

函数的概率绝对是一个波尔兹曼概率分布函数的导数。

Do you know, i need you to come back

你知道吗，我需要你回来

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。