级数的

When they built up the quantum Liouville equation inthe phase-space representaiton and discussed the mathematicaltransformation of the wave functions between the coordinate ormomentum and phase space,Torres-Vega and Frederick alwaysassumed the positive series expansion in coordinate of potentialsof systems.This is obviously incomplete because potentials ofreal systems contains in general negative powers of coordiante.

Torres-Vega和Frederick在建立相空间中的量子Liouville方程以及讨论和推导相空间波函数和坐标或动量空间中的波函数之间的的数学变换时，总是假定体系的相互作用势仅能展成坐标的正项级数，这显然是不全面的，因为实际体系的相互作用往往都含有坐标的负幂项。

One of the many consequences of the exponential power-versus-time curve in computing, and thecorresponding pace of software development, is that 50% of what one knows becomes obsolete over every 18 months. unix does not abolish this phenomenon, but does do a good job of containing it.

在计算领域成级数方式增长的能量vs时间曲线，以及相应的软件开发的进步，带来的影响之一就是一个人的知识每18个月就被淘汰掉50％。unix也无法回避这种现象，而是做了很好的工作来容纳它。

Any function on an interval will be expanded as the sum of finite items of the scaling functions and wavelets. It plays an important role for numerical analysis of partial differential equations, signal processes, and other similar problems.

于是，任何有限区间上的函数皆可表示为该区间上的尺度函数和小波函数的有限和，即小波级数，这克服了用无穷区间上的小波进行有限信号处理时，在边界上误差较大的不足，同时将该小波用于偏微分方程具有同样重要的意义。

A combinatorial identity is obtained:=:~z 2r扟32-rn-iJ As main result of this paper, in section two, the convolution梩ype identities emerge from our discussion about Lagrange formula whom in author 憇 view can be taken as the inherent characteristic of Lagrange formula but have been ignored fOi so long time.

第一章对拉格朗日反演在Riordan群理论中的应用进行了介绍，证明了一个组合等式：第二章通过对拉格朗日反演定理本身的分析，得到一个对任意的形式幂级数都适用的三个拟卷积公式，这些公式体现了任意能在零点解析的函数的内在性质。

Improve the accuracy of the initial rotor position estimator by using the Fourier series expansion.

在永磁同步的马达启动方面，则透过送出不同向量空间角度的定子电压向量脉冲所量测到的d轴定子电流的大小来估测转子的初始位置，并利用d轴定子电流在空间向量角度以2π为周期的特性，应用傅立叶级数分析做曲线拟合的方式提高转子位置估测解析度，以提高转矩/电流比节省不必要的功率浪费。

The intensity of grating diffraction spectrum is obtained by the Fourier series expansion of the transmissivity function. Finally, the design feasibility is analyzed by comparing the minimum signal spectral intensity with the maximal spectral intensity of the background light and the noise intensity.

通过对透射率函数的傅立叶级数展开，得到光栅衍射谱线的强度，对信号光谱线的最小强度、背景光谱线的最大强度和噪声强度的比较，得到设计的可行性。

In order to develop this local property,this paper presents a method,which uses Fourier Series to approximate the boundary shapes of the shafts with periodic boundary of cross section,and uses the conformal mapping in Theory of Function of a Complex Variable to make the complicated boundary shapes of the shafts map a unit circle.Thus elastic theory can analyze...

本文提出一种方法，其实质是：采用富里埃级数来逼近横截面呈周期性变化边界的轴类零件的边界形状；并应用复变函数论中保角映射原理，将零件复杂的边界形状映像成单位圆，从而使弹性理论可以分析和计算复杂边界轴类零件的应力场；再通过留数的求解实现保角映射的反变换。

Course Content:The main part of this course is about infinitesimal calculus and ordinary differential equations,including :functions and limits,derivative and differential integral and their application,differential methods of function of several variables and its application,heavy integral,curve integral,camber integral,infinite progression and differential equations.

课程内容：学科教学法与CAI研究与实践是师范计算机专业教学系统的重要组成部分，学科教学法与CAI研究与实践课程是计算机科学教育的主要内容。通过本课程的学习使学生掌握现代学科教学法与CAI研究与实践的基本概念，基本原理和基本方法；能设计并使用所学的教学理论进行中学信息技术课程的教学设计，试讲，试教。课程内容：以微积分学和常微分方程为主干，介绍函数与极限，导数与微分，中值定理。不定积分，定积分及其应用，多元函数微分法及其应用，重积分，曲线积分与曲面积分，无穷级数及微分方程等。

The influence of initial imperfections on the stability ofcomposite laminated plates was studied by solving the nonlinear governing equations for laminated plates with elastical restraints subject to in-plane loading using the energy variational principle and nonlinear geometric equations incorporating the initial imperfection. The governing equations were solved using generalized Fourier series to obtain the effect of the non-uniform order term.

为深入研究初始缺陷对复合材料层板稳定性的影响，利用能量变分原理和考虑初始缺陷的非线性几何方程，建立了具有弹性约束的层合板在面内载荷作用下的非线性稳定性控制方程组，运用广义傅立叶级数法对其进行求解，并进一步获得了影响非线性稳定性控制方程组的性质的非齐次项。

Hero bonus -- seven dragon jamie had the most important one is the hero of the system, which led to the various attributes to force, in July 2008, the hero of the updated bonuses formula for every point: change attributes (ability and equipment which combined) increased leadership forces (including upgrades and VIP effect) 3%, no soldier endurance series.

英雄加成—七龙纪中最重要的系统之一，就是英雄各种属性对所带领的部队有加成作用，在2008年7月的更新后，英雄的属性加成公式更改为：每点属性增加所领导部队（含升级后和VIP的效果）的3%，无士兵级数限制。

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。