积分的

At first, the governing differential equations are solved by Fourier transform, then, under consideration of the mixed boundary value condition, a pair of dual integral equations about the vertical vibration are listed which are converted to linear algebra equations by the Jacobi orthogonal polynomial and solved by numerical procedures. Consequently, the dynamic compliance coefficient Cv versus the dimensionless frequency is derived, and the program is compiled.

首先，采用Fourier积分变换解析求解了Biot方程，得到了该动力控制方程在Fourier变换域上的一组通解，然后由混合边值条件建立了地基上基础竖向振动的对偶积分方程，并应用Jacobi正交多项式将其转化为一组线性代数方程组，通过求解得到了不同无量纲频率下基础振动的动力柔度系数Cv，编制了相应的计算程序。

The present method is applied to two-dimensional potential problems and the corresponding discrete equations are derived. Because the shape functions so-obtained possess the Kronecker delta property, the essential boundary conditions can be enforced as the FEM; furthermore, the Heaviside step function is used as the test function, there is no domain integral, and only a regular boundary integral is involved.

因为滑动Kriging插值方法构造的形函数满足Kronecker函数性质，所以本文建立的改进的无网格局部Petrov-Galerkin法可以像有限元法一样直接施加边界条件；由于采用Heaviside分段函数作为局部弱形式的权函数，因此在计算刚度矩阵时只涉及边界积分，而没有区域积分。

There are proved the theorems on convergence of sequences of the integral, which are similar to Levi's theorem, Fatou's theorem and so on in Lebesgue's integral.

4中引进了一类特殊的所谓λ次可加模糊测度空间，给出了这种测度空间上收敛性的Егоров定理和Riesz定理并得到了该空间上的模糊积分在积分号下取极限的一些充分条件。

Which introduces kids and their extension to the primary form of the Riemann integral forms can store and then to be accumulated under the Lebesgue integral form and find the links between these three forms of proof and provement.

其中主要介绍不等式的初等形式及其推广到Riemann可积下的积分形式，然后到Lebesgue可积下的积分形式，并寻找这三种形式之间的联系和证明

To enhance computation efficiency and coverage of streamlines of fast line integral convolution, an improved algorithm of fast LIC with Sobol sequence was presented.

为提高快速线积分卷积法的计算效率和流线的覆盖率，提出了一种改进的基于Sobol序列的快速线积分卷积法。

By applying the law of energy transformation and conservation in electromagnetism to a sinusoidal steady state linear exchange network,the aauthors obtain a new expression of the law in which the merits of such energy forms as resistance,capacitance,self induction and mutual induction of four kinds of elements are embodied.

利用式中统一体现的电阻、电容、自感和互感4种元件能量形式的优点，以及网络现代场论关于元件复阻抗率和积分形式的复阻抗等概念，分别给出4种元件具体的积分形式复阻抗。

A single-loop 5-order 1-bit quantization structure is chosen along with OSR of 64, first sampling capacitor of 6pF, clock frequency of 128MHz to achieve 16-bit resolution and 1MHz base-bandwidth.

在系统设计方面，选用前馈结构，它有助于实现调制器的稳定和降低第一级积分器的线性设计要求；同时通过系数调整把第一级积分器的摆幅降下来，有利于低电压运放的设计。

The solution expression is suitable both for the inner and outer problem with a close boundary, and the calculation of velocity and pressure can be carried out separately, which is an advantage of boundary element scheme.

该方法的积分表达式可同时表示内、外边值问题的解，而且计算速度和计算压力的式子可以分别开，这是用边界积分公式求解的优点。

In chapter 4, the in situ measurement system composed of the six-port reflectometer and the coaxial probe is introduced and some guidelines for in situ measurement is highlighted.

第二章建模和计算先对建模方法和反演方法进行了概述，然后建立了同轴探头的谱域全波模型，着重讨论了伽辽金矩量法求解积分方程有关的积分计算问题，分析了同轴探头高次模式的影响，最后给出了波导探头的谱域模型。

Based on the model for self-excitation of synchronous generator and the idea of precise integration algorithm,a concise format of precise integration for fast simulation of the self-excitation is presented in this paper with the saturation characteristic of magnetic circuit of generators taken into consideration.

为此，给出了同步电机的自励磁数学模型，并结合精细积分法的思想，推导出一种形式简洁、仿真快速的精细自励磁积分格式，同时考虑了发电机磁路的饱和特性。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。