积分公式

H~p（p≥1）空间积分公式的推广

Extension of the Integral Formula of H ~ p ( p ≥ 1 ) Space

圆外Stokes问题的边界积分公式

Boundary integral formula for Stokes problem of outer circle domain

用微分算子级数法得到分部积分公式，使一类积分计算变得十分简单。

By using differentiator series method , the formula of partial integration is obtained .

本文给出了求z反变换的另一种围线积分公式及其留数算法。

Another formula for finding Z-inverse transformation and its residue algorithm are presented in this paper .

Euler示性式在子流形上的积分公式

The Integral Formula of Euler Characteristic Forms on Submanifold

Hamilton算子和Laplace算子间的一个积分公式

An Integral Formula Involving Hamilton Operator and Laplace Operator

本文通过矩阵的柯西积分公式给出秩为1或2的n阶方阵的标准根。

In this paper we directly give the canonical normal-roots of the n × n matrix whose rank is 1 or 2 through Cauchy integral formula for matrices .

本文主要讨论双解析函数的Cauchy积分公式，Cauchy积分定理等问题。

The cauchy integral formula and cauchy integral theorem are discussed in this paper .

Hilbert积分公式

Formula for Hilbert Integration

关于Dirichlet型积分公式的建立

On a Dirichlet 's Type Integral Formulas

根据加权残数法的思思，把三次B样条函数作为试函数项，推导出了一种新的无条件稳定的直接积分公式。

The formula of unconditionally stable direct integration method is derived in this paper , using the 3rd order spline function as trial function term according to the idea of Weighted Residual Method .

在多圆柱域中Schwarz积分公式的两种新证法

Two novel approaches to Schwarz integral formula in several cylinders domain

利用Green函数法求得半平面问题的位移，可以得到边界积分公式，利用该公式可以对于弹性地基与基础的相互作用进行分析。

Using Green function to solve the displacement of half of the plane , the boundary integral formula is derived . This formula can be used to analyze the reciprocity between ground and base .

Stein流形上全纯函数积分公式的拓广

The Generalization of An Integral Formula of Holomorphic Function on Stein Manifold

Stein流形上一个带有算子映射函数的积分公式

An integral formula with operational mapping functions in Stein Manifold

为给L域中试井模型的求解提供最一般化的手段，本文引入Green函放方法并建立求解试井模型的通用积分公式。

This paper presents the Green 's function method and establishes an integration formula in the Laplace-transform domain for solving well-testing problems .

提出用梯形积分公式和抛物线型积分公式代替FFT中的矩形积分公式，以提高FFT精度。

In order to improve the precision of FFT , the scheme of trapezoid and Simpson 's rule are substituted for normal rectangular integration in FFT .

Anti-DeSitter空间中紧致类空超曲面的积分公式

Integral Formula for Compact Space-like Hypersurfaces in Anti-de Sitter Space

由这个拓广的积分公式，当适当选取其中的实参数以及向量函数时，可以得到Cn空间中许多已有的积分公式及它们的各种拓广形式。

By properly choosing the vector functions and the real parameters , one can obtain various kinds of integral formulas and its extended forms .

基于惠更斯-菲涅耳衍射积分公式，研究了宽带光束在菲涅耳衍射区的自由空间传输特性，得到宽带光束传输的调制深度与光束带宽Δλ及菲涅耳数F的变化关系。

The free space propagation property of broadband laser beam in Fresnel diffraction area is studied based on Huygens-Fresnel diffraction integral . The relationship between modulation depth , bandwidth Δλ and Fresnel number is obtained .

四元数矢丛的辛Pontryagin示性式和它的积分公式

The Symplectic Pontryagin Characteristic Forms of a Quaternion Vector Bundle and Its Integral Formulas

本文从格林积分公式及格林函数出发推导出以rA及为求解量的轴对称静磁场的矢量边界元法。

The vector potential boundary element method for the axisymmetric magnetostatic field are derived from the integral identity and the three dimensional Green 's function , whose unknowns are rA and .

本文从三维波动方程的Kirchhoff积分公式出发，首先经离散化给出无限均匀介质中的边界单元法公式。

The formula of BEM suited to solve the problems of wave propagation in boundless medium is obtained from numerical treatment of Kirchhoff integral equation .

主要研究内容和结论有：利用矢量瑞利-索末菲（RS）衍射积分公式，推导出非傍轴矢量高斯光束通过圆环衍射的解析式。

The major contents and results are as follows : Starting from the vectorial Rayleigh-Sommerfeld ( RS ) diffraction integrals , the analytical expressions of vectorial Gaussian beams through an annular aperture are derived .

复化Newton-Cotes积分公式及其误差估计

The Composite Newton-Cotes Quadrature Formulas and Their Error Estimates

导出比Simpson公式精度更高的三次、四次曲线近似的高次曲线拟合定积分公式，并给出实现该算法的C语言源程序。

The precision of derived definite integral formula by high-order curve fitting like thrice and quartic proximate curve is higher than Simpson formula and the C language original program to realize the above algorithm is presented .

提出了一种计算无界声媒质空间中任意形状辐射体辐射声场的新方法&综合Helmholtz积分公式法（SyntheticHelmholtzIntegralEquationFormulation，SHIEF）。

In this paper , a new method which is SHIEF ( Synthetic Helmholtz Integral Equation Formulation ) for calculating acoustic field radiated by an arbitrary radiator in the unbounded space is presented .

从各向异性介质中的磁场基本方程组出发，导出各向异性磁矢势A的微分方程，直接求解而得A的积分公式，并通过实例说明在各向异性坐标系中由A求B的方法。

An integral formula of magnetic vector potential A in anisotropic medium is obtained by directly solving differential equation of A , which is derived from basic equation of magnetic field in anisotropic medium . The method for solving B from A in anisotropic coordinates is exemplified .

同时根据有限元变形图和数据统计图，并结合Irwin解析裂纹封闭积分公式对结果加以分析。

Combining with finite element charts and statistical data , and Irwin analyzed crack closed integral formula is used to analyze the results .

同时，对角谱通过失调的ABCD光学系统变换的频域衍射积分公式也可实现分数傅里叶变换。

And also , the diffraction integral formula in frequency domain for angle spectrum through a misaligned ABCD optical system could realize the fractional Fourier transform .