查询词典 Jacobi

This course, which discusses elementary of computational number theory, includes the following subjects:(1) Fundamental properties of Integers;(2) Congruences;(3) Congruent equations;(4) Legendre and Jacobi symbols;(5) Primitive roots;(6) Primality testing and factorization;(7) Index computation and discrete logarithm computation;(8) Other computational problems.

本课程将讨论计算数论的基本知识，主要包括以下内容：(1)整数基本性质；(2)同余；(3)同余式；(4) Legendre和Jacobi符号；(5)原根；(6)素性测试和大数分解；(7)指数计算和离散对数计算；(8)其他计算问题。

Resorting to the elliptic variables and quasi-Abel-Jacobi coordinates, the independence of involutive systems of conserved integrals is proved.

在Abel-Jacobi坐标的"窗口"下，各种流的清晰演化图片呈现出来。

The NODE can be solved by F-expansion,which can be thought of as a generalization or concentration of the Jacobi elliptic function expansion method.

在求非线性数学物理方程的精确解方面，最近提出的F-展开法[3~13]是很有效的工具。

Based on the principle of homogeneous balance, these equations were resolved by Jacobi elliptic function expansion method.

根据齐次平衡原理，用Jacobi椭圆函数展开对这些演化方程进行了求解，在一定的条件下它们均可能存在孤立波解或冲击波解，这与方程的定性分析完全一致。

We present and extend some methods such as the tanh-function method, the Jacobi elliptic function method, the ansatz method and so on.

本文对一些求解方法进行了研究，特别是Lie对称方法，分析并改进了前人的理论和算法，并在计算机符号系统Maple上给出了相应的实现。

In this paper, the Jacobi elliptic function method is generalized to study nonlinear coupled scalar field equation , and a lot of new analytic solutions of nonlinear coupled scalar field equation are obtained.

推广了Jacobi椭圆函数展开方法，研究了非线性耦合标量场方程组的求解问题，得到了更多更新的非线性耦合标量场方程组的解释解。

It briefly includes several following aspects: First, Jacobi elliptic function were introduced and some of its main characters were discussed simply.

本文首先简要介绍了Jacobi椭圆函数及其性质，然后介绍了非线性发展方程的Jacobi椭圆函数展开法和目前的一些演化和扩展情况，最后着重介绍本人对Jacobi椭圆函数在求解非线性发展方程中的应用方面所作的研究。

In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function.

利用齐次平衡原则和F-展开法，求出了一个五阶变系数KdV-like方程的一些用Jacobi椭圆函数表示的双周期解。

In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function .

利用齐次平衡原则和F-展开法，求出了一个五阶变系数KdV-like方程的一些用Jacobi 椭圆函数表示的双周期解。并且在极限的情况下，得到了该方程的孤立波解和三角函数表示的周期波解

Some new elliptic periodic solutions and soliton solution of variable coefficient KdV-MKdV equation with three arbitrary functions by are found Jacobi elliptic function expansion method.

运用Jacobi椭圆函数展开法求得了具有3个任意函数的变系数KdV_MKdV方程的新椭圆周期解及孤立波解。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。