函数的积分

With the algebraic result in form of piecewise function expressions, the excitation and propagation processes of stress waves, including the longitudinal wave, the transverse wave, and Rayleigh-wave, are discussed in detail.

基于该分段函数形式的代数结果，纵波、横波、Rayleigh波等应力波成分在弹性表面的激发和传播过程得到详尽分析，其中很多结论是已有的解析积分结果或者数值计算结果不曾得到的。

We also give the theoretical error result of antithetic variable Monte Carlo method for multi-variable functions whose degree is no more than two.

对次数不高于2的多变量函数，AMC方法其误差阶是O，但其系数比原始蒙特卡罗积分方法的误差阶的系数小。

In the second chapter,we establish the weakly asymptotic order of the classical Bernstein interpolation sequence approximate functionin the Wiener space(or 1-fold integrated Wiener space).

第二章给出了经典的Bernstein多项式算子列逼近函数时在Wiener空间(或1-重积分Wiener空间)下的平均误差的弱渐近阶。

This method was based on rotation formula of the current magnetic field and the magnetic fields can be expressed by a double integration about spatial radial coordinate and spatial wave number of Bessel function.

由电流磁场的旋度公式出发，推导了多层介质中点电流源磁场的表达式，其为一个关于空间径向坐标和贝塞尔函数空间波数的二重积分。

The application of Karhunen-Loeve expansion to simulating the soil parameters random field is researched;and the characteristics of the KL decomposition are analyzed;and the Galerkin finite element method is adopted to solve the integral equation numerically in the irregular region and for arbitrary covariance function and to simulate the anisotropic conductivity field.

研究了Karhunen-Loeve展开在土性参数随机场模拟中的应用，分析了KL展开的特点，针对不规则区域和任意类型协方差函数提出了积分方程的Galerkin数值解法，模拟了土壤渗透系数各向异性随机场。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier transforms and partial differential equations will also be introduced.

本课程为提供已有常微分方程式基础的同学修习，内容包括线性代数，矩阵运算，特徵值问题，向量的微分与积分，一阶线性微分方程组，傅力叶级数和正交函数，傅力叶转换，并将对椭圆，抛物线，双曲线型式的偏微分方程式作概略介绍。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier

本课程为提供已有常微分方程式基础的同学修习、内容包括线性代数、矩阵运算、特徵值问题、向量的微分与积分、一阶线性微分方程组、傅力叶级数和正交函数、傅力叶转换、并将对椭圆、抛物线、双曲线型式的偏微分方程式作概略介绍。

Phase plane properties of an electron in Wiggler field are analysed by using Jacobian elliptic function and elliptic integral based on the pendulum equation for FEL.

从自由电子激光器的摆方程出发，利用Jacobian 椭圆函数和椭圆积分分析了系统的相平面特征，并利用加速器概念和束流动力学方法，讨论了系统的稳定性、增益和临界特征等问题。

Based on the simplification of differential equation of driving function and the amendment of control law with error integral, the problems of controller design for a class of position serve system are discussed from the angle of practical use in engineering.

基于对驱动函数微分方程的简化和对控制律的误差积分修正，从工程实用角度讨论一类位置伺服系统控制器的设计问题。

In this thesis, the influence of waterline integral term on the calculation results of zero-order and lst-order free wave amplitude function and wave-making resistance have been analyzed in detail. And the role of waterline integral is proved to be important.

本文还较详细地分析了水线积分项对0阶和1阶自由波幅函数及兴波阻力计算结果的影响，证实了水线积分项的重要作用。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。