查询词典 elliptic function

In this paper,in consideration of air medium inside the hole defects acting on the electric field, a coupled field of antiplane strain problem for the piezoelectric material with an elliptic hole is analyzed with an expression for potential function of complex veriable in Faber series.

考虑椭圆孔内空气介质对电场的作用，用复变函数的Faber级数展开方法，分析了含椭圆孔的压电材料反平面应变问题的耦合场，给出了问题的精确解。

In this paper we study the method of interpolation by radial basis functions in H~k(k ≥ 1) and give some error estimates. By means of such interpolation with a special kind of radial basis function, we construct a basis in H~k(k ≥ 1). Combined with the Galerkin method, this theory can be applied to solve boundary value problems for elliptic partial differential equations (such as the third boundary value problem for Poisson equation and the corresponding problem for the biharmonic equation), and some numerical experiments are also given.

本文从求解偏微分方程的角度出发，在被逼近函数u属于一般的Sobolev空间H~k(k≥1)的情形，引入了一种径向基函数插值方法，并建立了相应的误差估计；再利用这种插值性质，从一类特殊径向基函数出发构造Sobolev空间的一组基，针对Poisson方程第三类边值问题和重调和方程类似边值问题，为用无网格算法求解偏微分方程边值问题建立了相应的理论，并通过算例来验证了这一算法。

The approach of realization of the elliptic function complementary filter has been given.

提出了椭圆函数互补滤波器的实现条件。

By using the elliptic function and conformal transformation theory,a close form solution to this problem is obtained.

运用椭圆函数和保角变换理论，获得了该问题严格的闭合解。

This problem is defined as: Given points X, Y on the elliptic curve, find z such that: X = zY The discrete logarithm problem over this group in a finite field is a good one way function because there are currently no known polynomial time attacks forsolving the problem.

这个问题是指：鉴于点X和Y的椭圆曲线，找到这样： X =模糊离散对数问题，这个集团在有限的领域是一个很好的方法之一的功能，因为目前没有任何已知的攻击forsolving多项式时间的问题。

PartⅡ,Applying the developed and extended direct algebraic methods that presented in recent years and based on the 2+1 dimensional variable separation solutions,abundant Jacobi elliptic function doubly periodic waves and periodic propagating wave patterns for many 2+1 dimensional nonlinear wave models are obtained,and in long wave limit solitary waves are derived as well.

第二部分，本文拓展和推广(来源：a2AB7aC论文网www.abclunwen.com)了新近发展的几种典型的直接代数方法和基于分离变量解的间接方法，获得多个2+1维非线性波动模型丰富的雅克比椭圆函数双周期波解和周期传播波模式，并得到长波极限情形下存在的非线性孤立波。

An exact solution of the scattering by a chiral elliptic cylinder is obtained in terms of Mathieu function and modified Mathieu functions by means of vector wave functions.

对旋波媒质的电磁特性进行分析，基于边界值问题，借助于矢量波函数，首次给出了旋波媒质椭圆柱电磁散射问题的解析形式解。

For instance, a chiral or dielectric or conduct circular cylinder, a chiral or dielectric or conduct elliptic cylinder. 5. A general program to calculate any order and any type Mathieu function and its derivation is compiled.

编制了计算任意类、任意阶马丢函数及其导数的程序，此程序解决了多种不稳定性，通用性强，对计算没有任何附加限制，在普通微机上即可保证较高的计算精度和速度。

Finally, a new function transform was proposed to solve nonlinear evolution equations with the help of the solutions of elliptic equation, and many new results are obtained

五、对椭圆方程进行讨论，提出新的函数变换并利用椭圆方程的解来求解非线性发展方程，从而得到大量新的周期波解。

Two types of the mathematical models of Spatial Variogram are inferred based on the elliptic distribution function.

基于椭圆分布函数可导出两类空间变异函数的数学模型。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切