integrals

Reducing line integrals to ordinary integrals.

将线积分化为一般的积分.

A Numerical Algorithm of Singular Integrals over Rectangular Domains The discretization of BIE is based upon constant elements.

矩形域上非正常积分的一种数值算法边界积分方程的离散基于常数元模式。

We shall study double integrals over more general sets in the plane.

我们将研究定义在平面上更一般的集合中的二重积分.

These integrals have been tabulated.

这些积分都已制成表.

This paper proves that the point ζ must be in the open interval ( a, b) under the conditions same as in the first mean value theorem of integrals, and gives some applications of the above results.

文章在第一积分中值定理的条件下，证明了介值点ξ必可在开区间（a，b）内取得，并且给出以上结果的一些应用。

A Theorem of the Mean Value Asymptotic Behavior of the Mean Value Theorem for Integrals Again

积分中值定理的中值渐近性的又一定理

The part including strongly singular integrals is made to be independent of coordinate transformation.

其主要原理是引入一种恒等分解，使含强奇异部分的积分与坐标变换无关。

Nonexistence of Polynomial First Integrals for Quadratic Planar Vector Systems

平面二次向量场多项式首次积分的不存在性

Especially for the problem of thin body, duple regularization of both the nearly singular integrals and ill-posed inverse problems is also successful in the two-dimensional boundary element method.

特别对二维薄体位势边界元法，成功实现了几乎奇异积分和不适定反问题的双重正则化。

To avoid calculating the time-consuming Sommerfeld ′ s integrals, the discrete complex image method ( DCIM) is employed to obtain spatial domain closed-form Green's function for planar-layered media.

使用离散复镜像方法（DCIM）快速得到平面分层介质的空间域的闭式格林函数，避免了费时的索末菲尔德积分。

Two-dimensional stress intensity factors are solved by BEM with crack closure integrals.

应用边界元法结合裂纹闭合积分求解二 维 裂纹应力强度因子.

Applying a new prior covariance function the integrals along a great circle path is easy to compute.

在反演中引入新的先验协方差函数，使得沿大圆路径积分较为容易；

We shall now show that the change of variable formula for integrals is just as unforgettable.

我们现在来说明积分的换元公式也一样好记.

Line integrals are used extensively in the theory of functions of a complex variable.

在复变量函数理论中广泛使用线积分。

The exact formulae of domain singular integrals for loads in polynomial form are given.

对多项式荷载给出了域奇异积分的正确公式.

The third type im-proper integral can be written as the algebraic sum of the first and second type integrals.

第三类广义积分都可以写成第一类与第二类广义积分的代数和。

Integrals extend to higher dimensions through multiple integrals.

积分借着重积分扩展到较高的维数.

Handwritten Chinese character recognition based on mirror image learning and the compound Mahalanobis function A novel approach of dual GPOF/ DCIM for fast computation of the sommerfeld integrals and electromagnetic scattering from an object partially embedded in dielectric half-space

基于镜像学习和复合二次距离的手写汉字识别跨界面目标电磁散射Sommerfeld积分的双重广义函数束拟合离散复镜像方法

An important method for evaluating integrals is a change in variables.

求积分值的一种重要方法是变量代换法.

So, it's much better to set up these integrals in spherical coordinates.

所以球坐标的优势就显现出来了。

Longitudinal displacement measures myocardial motion amplitudes in systole and visualizes the segmental velocity-time integrals.

纵向位移是测量收缩期心肌运动幅度,显现为心肌节段的速度 -时 间积分.

Numerical integration of ordinary integrals and line integrals.

一般的积分以及线积分的数值积分.

Doing area surface and volume integrals.

作面积分和体积分.

In this case, the singular integrals will appear in the calculation.

在这种情况下, 计算过程中将遇到奇异积分.

With the discrete complex images method ( DCIM) and RWG basis functions, we can give a full-wave analysis of equivalence problems in the spatial domain without the Sommerfeld integrals.

首先利用等效原理将原问题转化为不同区域的等效问题，然后采用RWG基函数结合离散复镜像法在空域对等效问题进行全波分析。

The last two integrals correspond to the natural boundary conditions.

最后两个积分对应于自然边界条件.

In addition, the natural BIE only contains Cauchy principal value integrals.

自然边界积分方程仅存在容易计算的Cauchy主值积分。

For problems with thin bodies, a source point is very close to some integral element commonly. Due to the nearly singularity, these integrals are not effectively and directly computed by conventional Gaussian integral.

对薄体问题，源点与积分单元距离通常相距很近，这些积分产生显著几乎奇异性，直接采用常规高斯积分不能有效计算。

This cuts the labor of evaluating integrals almost in half.

这几乎省去求解积分的一半劳动.

In addition , the natural BIE only contains Cauchy principal value integrals.

自然边界积分方程仅存在容易计算的Cauchy主值积分.