Integrals

Integrals extend to higher dimensions through multiple integrals.

积分借着重积分扩展到较高的维数.

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Through asymmetrical Abel inversion from the line integrals of phase shift of 7 chords, the electron density profile at different time or three dimensional diagram of space-time distributions of electron density can be obtained.

也可以由七道弦上相移的线积分值通过非对称的Abel变换给出不同时刻的电子密度的空间分布或时-空分布的三维图形。

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Doing area surface and volume integrals.

作面积分和体积分.

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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.

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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.

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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.

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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。

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These integrals have been tabulated.

这些积分都已制成表.

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Numerical integration of ordinary integrals and line integrals.

一般的积分以及线积分的数值积分.

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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

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Reducing line integrals to ordinary integrals.

将线积分化为一般的积分.

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The approximation of singular integrals by finite-integration an Hermite interpolatory

奇异积分的有限积分及其截断Hermite插值逼近

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Hadamard~ [ 13] defined high order singular integrals by the think of the integral for finite part in real analysis.

Hadamard在实分析中是用积分有限部分的思想，定义高阶奇异积分的。

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Economic Benefit Evaluation of Land in Development Zones Based on Fuzzy Integrals

基于模糊积分的开发区土地经济效益评价

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NSPS in this limiting form can be written as generalized Fourier integrals which reduce to ordinary phase shift in the constant velocity limit.

NSPS的这种极限形式可以写成广义的傅氏积分，在常速度极限情况下积分减少了普通相移。

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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.

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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.

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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.

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Constructing System of Inequalities to Calculate the Square of Plane Figure and Double Integrals by Skilfully Using the Boundary Line

巧用边界线建立不等式组求平面图形面积和二重积分

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On the Boundary Properties of the Integrals of Cauchy Type in the Space of Two Complex Variables

关于两个复变量空间中的哥西型积分的边界性质

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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.

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The electromagnetic fields of a dipole source over the ground plane can be expressed as the sum of three parts: the direct wave, image wave and the Sommerfeld type integrals.

地平面上方偶极源的电磁场可以分解成直达波场、镜像波场和Sommerfeld型积分三部分之和。

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In Affine Toda field theory, links among three generating functions for integrals of motion derived from P.(ⅰ) are studied, and some classically integrable boundary conditions are obtained.

在AffineToda场论中，研究了（I）部分得到的三种运动积分生成函数之间的联系，并求出一些经典可积边界条件。

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Further integrals of functions in Gn, p(α) are studied.

，p）（α）中函数的积分。

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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。

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So now we're going to triple integrals in spherical coordinates.

现在，在球坐标中进行三重积分。

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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.

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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。

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This cuts the labor of evaluating integrals almost in half.

这几乎省去求解积分的一半劳动.

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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.

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