complete integral

Euler and Lagrange gave different definitions for the concept of the complete integral respectively in 1770 and 1774.

在分析、比较欧拉和拉格朗日完全积分定义的基础上,依据原始文献,重点考究了拉格朗日重新定义偏微分方程完全积分的原因和动机。

In this paper,we apply Abelian integrals and complete elliptic integrals of the first,second kinds to study an upper bound on the number of zeros of Abelian integrals for a class of the plane quadratic systems with two centres,under polynomial perturbation of arbitrary degree n.

利用Abel积分与第一、第二型完全椭圆积分,本文研究一类具有两个中心奇点的平面二次系统在n次小扰动下的Abel积分零点个数上界问题,得到了较小的上界估计。

By means of properties of certain combinations of complete elliptic integrals,the authors provide a negative answer to M.

本文利用完全椭圆积分的某些组合之性质，给出了M。

In particular,a conje cture on complete elliptic integrals is proved to be true and improved.

特别地，作者运用此法则，证明并改进了关于完全椭圆积分的一个猜测。

The first and second kind of complete elliptic integrals and their correlations are used,to analyze the distribution of magnetic field of current carrier round coil in space any point in cylindrical coordinate system,and its special case is discussed in this paper.

利用第一类、第二类完全椭圆积分及其相互关系,在柱坐标系中较详细地分析了载流圆线圈在空间任一点的磁场分布,对其特例进行了讨论。

B(F)=I_n and E iscompletely integrable at z_0 iff A(F)=(A(F))~l; if z_0∈∑π is a contact regular point,then F can be chosen s.

我们的主要结果如下: 若z_0是E的π—正则点,则F可以适当选取使得B(F)=I_n而且E在z_0处完全可积的充要条件为A(F)=(A(F))~t; 若z_0是E的接触正则点,则F可以适当选取使得A(F)=I_n,而且E在z_0处完全可积的充要条件为B(F)=(B(F))~t。

A new completely integrable finite-dimensional Hamiltonian system is obtained by nonlinearization of the eigenvalue problem.

通过将特征值问题非线性化 ,得到一个完全可积的有限维Hamilton系统 ,并给出两族对合的守恒积

incomplete elliptic integral of the first kind

第一类不完全椭圆积分

complete elliptic integral of the first kind

第一类完全椭圆积分

complete elliptic integral of the second kind

第二类完全椭圆积分

In the process of derivation the Biot～Savart rule is adopted to get the conclusion in stead of the conventional method,by elliptical integra-tion.

推导过程没有采用传统的完全椭圆积分，而是直接利用毕奥一萨伐尔定津得出结论。

In the equation E (k) is the complete elliptical integral of the second kind.

式中，E（k）为第二类完全椭圆形积分。

The Comparison Principle for Viscosity Solution of Fully Nonlinear Elliptic Integro-differential Equation;

一类带有非局部积分项的完全非线性椭圆型方程粘性解的比较原理

The Positive Entire Solution of Nonlinear Elliptic Partial Differential Equations;

非线性椭圆型偏微分方程的全局正解

Analysis of Security Performance Based on Ellipse Curve Cryptosystem;

基于椭圆曲线加密的系统安全性分析

Fast Numerical Method and Error Analysis of Ellipse Integral Equation

椭圆积分方程的快速数值求解与误差分析

The solutions are obtained utilizing the integration of properly weighted centres of dilatation over the volume occupied by the body.

通过体积元素积分得到的调和势函数通过椭圆积分及其导数表示。

Integration Method with Applications to the Existence of Solutions for Elliptic Equations;

积分方法在椭圆型方程解的存在性中的应用

An algebraic method discussing the physical application problem of elliptical integrals;

椭圆积分物理应用问题代数公式求解法

Field integral shimming of elliptically polarized undulator at Shanghai synchrotron radiation facility

上海光源可变椭圆极化波荡器积分场垫补

Round/oval - any friends that came along, you will accept and trust them completely.

圆形/椭圆形—总有一些朋友陪伴着你，你完全地信任并接受他们。

Bounded Positive Entire Solutions of Semilinear Elliptic Partial Differential Equations;

半线性椭圆型偏微分方程的全局有界正解

Elliptic Curve Scalar Multiplication Secure Against Power Analysis Attack;

能量分析攻击下安全的椭圆曲线标量乘法

Analysis of Applying Elliptic Curves Cryptography to Wireless Network Security;

无线网络安全中椭圆曲线密码体制应用分析

Packet Network security selection Elliptic Curve Cryptography Research

分组网通信中安全椭圆曲线密码的选取研究