查询词典 evaluation of integrals

To find the prefactor, evaluate the infinite product of gaussian integrals using the formula

为了找出前因数，用公式估算高斯积分的无限连乘

The generating function method is applied to the study of integrability structure of these finite-dimensional systems, by which it is very convenient to prove the involutivity of integrals of motion.

上面所提到的这些连续的和离散的2+1维可积模型被分解成所导出的常微分方程的Hamiltonian系统或常微分方程的Hamiltonian系统以及辛映射所产生的离散流。

A time domain singularity extraction technique is presented to calculate singular integrals in time domain electric field integral equation solver.

介绍了一种基于奇异提取技术的时域积分方程中奇异积分的处理方法，在奇异提取过程中，电磁波传播的延迟效应对积分的贡献包含在内。

On Buffon's problem for the complicated lattice Kinematic formulas in integral geometry are integral formulas that represent integrals of geometric functions on the intersection of fixed and moving domains.

2复杂网格的Buffon概率在积分几何中，运动公式是一些定义在定区域与动区域交集上的几何函数的积分公式。

When computing the diagonal elements of the Galerkin matrix, one will encounter the integral of Hankel function, the Green's function of 2-dimensional Helmholtz equation and the cosine weighting function, whose integrand is singular in the integration range. A new approach is proposed to deal with this kind of singular integrals, which is pivotal but have not been reported so far.

首先建立了透镜边缘上任一点的电场满足的边界积分方程，然后选择适当的正交模式函数展开端口上的电场分布，采用边界元法的思路及Galerkin法将该积分方程离散化为—矩阵方程求解即可得到透镜的多模式散射参数。

In the paper, analytical continuation of Sommerfeld integrals is discussed rigrously, with poles, branch points and branch cuts of the integrand tanken into account.

以两半无限大空间中两维问题为例，计算了埋地柱体的本征值，并探讨了埋入深度及大地电导率对本征值的影响。

Divergent line integrals yielded in the process of integration by parts are eliminated mutually and don't occur in the final results.

在转移过程中出现的发散的线积分可以相互抵消，不会在最后结果中出现。

For example, in a calculus course it's not terribly difficult to memorize the formula for integration by parts for integrals. However, if you don't understand how to actually use the formula and identify the appropriate parts of the integral you will find the memorized formula worthless.

例如，你会发现通过微积分来学习微积分学是很容易的，但是，如果你不了解怎么正确地使用这些公式和区分不同的微积分，你会发现你所学的公式都是毫无用处的。

The first of these integrals is seen to be a logarithmic form and the second the inverse tangent form.

这些积分中的第一个被看成是对数形式，而第二个被看成是反正切形式。

Laplace integral forms of some signals can be calculated with the table of integrals.

在信号与线性系统中，对信号进行拉普拉斯变换，通常主要是依据拉普拉斯变换式和一些典型信号的拉普拉斯变换对，以及拉普拉斯变换性质。

World War II: Battle of Saipan - Americans take Saipan.

1944年的今天，美国在塞班战役中拿下塞班岛。

When the scorner, the rejecter of truth, has become presumptuous; when the routine of work in the various money-making lines is carried on without regard to principle; when the student is eagerly seeking knowledge of everything but his Bible, Christ comes as a thief.{DA 635.3

当讥诮和拒绝真理的人，到了任意妄为时，当追求财利者罔顾按道义经营谋利时，当学人正在兢兢业业地研究各种知识，而单把圣经丢在一边时，基督要像贼一样来临。