函数

The first chapter put forwards the study object is distribution function, and introduces the different arithmetics of distribution function by others.

第一章提出了研究对象为分布函数，并且介绍了分布函数的不同的算法。

First, make your constructor (which has to have an array as a parameter) which calls _initialize function from Iterator class.

第一，制作你的构造函数，它调用从迭代器类_initialize函数。

The former, such as Bettess element and Astley element, needs geometry mapping and shape functions in terms of local coordinates, while for the latter, the shape functions are directly expressed in terms of global coordinates. This paper reviews the state-of-the-art and recent advances of the infinite element method for unbounded domains.

无限元分为映射无限元和非映射无限元：映射无限元需要引入几何映射，在局部坐标系中构造插值形状函数，如Bettess 元和Astley元；非映射无限元则直接在整体坐标系中构造插值形状函数，如Burnett元。

The nonlinear plant is first linearised, the fuzzy basis function vector is then introduced to adaptively learn the upper bound of the system uncertainty vector,and its output is used as the parameters of the compansator in the sense that both the robustness and the asymptotic error convergence can be obtained for the closed loop nonlinear control system.

在该方法中，首先将非线性系统线性化，然后利用模糊基函数向量自适应学习系统不确定向量的上界，模糊基函数向量可作为补偿控制器的一个参数。在控制系统的设计过程中可充分保证非线性控制系统的鲁棒性和跟踪误差的渐进收敛性。

In this paper,we use elementary and analytic methods to study some problems on some special sequences and functions,and give their mean values,concisely counting formula and asymptotic formulae.

基于对上面所述问题的兴趣，本篇硕士论文利用初等及解析的方法研究了Smarandache教授提出的一些数论中的特殊序列及函数的性质，并且推广相关函数的结果，给出它们的均值计算公式和渐近公式。

This paper introduced the odd sieve sequence, the methods of character, estimate and triangle sum are used to study the mean value of the divisor function. An asymptotic formula of the divisor function is gave in the odd sieve sequence set to through the analytical method.

引入了奇筛数序列，主要利用特征和估计及三角和方法，研究了除数函数的均值性质，并通过解析方法给出了除数函数在奇筛数序列集合中的一个的渐近公式。

Number theory function; Smarandache function; Mean value; Asymptotic formula

基础科学，数学，代数、数论、组合理论数论函数； Smarandache函数；均值；渐近公式

The application of an appropriate apodization film to an ordinary lens makes the point amplitude response asymptotic to a Dirac-delta function, or causes an arbitrarily narrow depth of focus. This implicates that we may achieve lateral or axial superresolution through implementing an apodization film.

运用适当形式的光瞳滤波器可以改变成像系统点振幅响应的分布，使其具有类似于冲击函数(Dirac-delta函数)的形式，这样就有可能实现光学超分辨，但变迹术的运用往往会因其强烈的旁瓣效应而导致成像系统对比度的急剧下降。

In this dissertation, we study the mean value problems of some special number theory functions, relation with some important functions and a series of asymptotic formulas about some hybrid functions.

本文研究了一些特殊数论函数的均值估计问题，以及它们与一些重要函数之间的联系，有关和式的一系列加权均值。

Secondly, the asymptotic series are used to evaluate the density function of heavy-tailed Rayleigh distribution, and an efficient three-step method is proposed using the interpolating polynomial fit.

其次， 本文使用渐近级数计算拖尾Rayleigh分布的概率密度函数，基于插值多项式拟合，提出了高效计算密度函数的三步方法。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。