查询词典 elliptic motion

In chapter 3,we study the Zakharov-Kuznetsov-Modified Equal-Width equation by employing the extended Jacobi elliptic function expansion method and obtain some new solutions of Jacobi elliptic function type of the ZK-MEW equation.;Secondly,using sn-cn method,we study K(m,n,1) equation and obtained some new exact solutions when k=s=3,especially obtained abundand solitary solutions and trigonometric function solutions when m→0 and m→1;In chapter 4,Painleve singular analysis was applied to nonlinear PDE with variable coefficients.

第四章将Painleve奇性分析方法应用到带阻尼项的变系数Burgers方程中，并得到了该类Burgers方程具有Painleve性质的条件，给出了该类Burgers方程的Backlund变换，用所得Backlund变换得到了若干精确孤立波解，包括奇异孤立波解，这些解不等同于行波型孤立波解；用齐次平衡法得到了对数型DBM方程的Backlund变换，并获得了DBM方程的各种孤立波解，包括尖峰孤立波解和奇异尖峰孤立波解。

We can not apply Galerkin methods with radial basis functions to the first boundary value problem (the Dirichlet boundary value problem) of the second-order elliptic equation, because it requires that the approximate functions should fit the essential boundary condition, while the spaces spanned by the radial basis functions fails to satisfy this kind of boundary condition, and it is the same for the higher-order elliptic equation.

我们不能直接应用这样的无网格算法求解二阶椭圆型方程的第一类边值问题(Dirichlet边值问题)，因为第一类边界条件是本质边界条件(对二阶椭圆型方程为Dirichlet边界条件)，而径向基函数的支集通常是全空间，由它们所生成的近似函数空间一般不满足这样的条件。

Elliptic Curve;Elliptic Curve Cryptosystem;Diffie-Hellman algorithm, key exchange

椭圆曲线；椭圆曲线密码；Diffie-Hellman 算法；密钥交换

Second, Jacobi elliptic function expanded methods proposed by Liu et al and its evolution and extendedness currently including double Jacobi elliptic function expanded method and F expanded method of solving nonlinear equations were introduced.

二、介绍刘等人提出的Jacobi椭圆函数展开法及当前一些主要的扩展——双Jacobi椭圆函数展开法和F展开法。

In chapter three, the elliptic curve discrete logarithm problems on the elliptic curve finite group are discussed.

第3章在介绍有限域上的离散椭圆曲线的基础上，深入讨论了椭圆曲线有限群上的椭圆曲线离散对数问题，研究了目前已知的椭圆曲线离散对数问题的几类求解算法，分析了这些算法的特点和应用范围，并总结归纳出了一系列的安全椭圆曲线选取准则。

This paper analysis the elliptic curves operation rules,presents a high speed serial-parallel elliptic curve multiplier for the Galois field GF(2^N) which based on optimal normal basis, compares the ECC chip speed and hardware resource consuming induced by the different Field partition.

本文分析了GF(2^N)域上的椭圆曲线的运算法则，提出了一种串－并行结构的基于优化正规基的高速有限域运算单元，比较了域划分D对芯片实现速度和硬件资源占用的影响，完成了域GF(2^N)上基于ONB的ECC芯片快速实现。

The condition for the existence of positive elliptic periodic solution was found using Floquet theory; and the theorem of the existence of positive elliptic periodic solution was proved by the method of upper and lower solutions and homotopy invariance theory of topology degree; then an example was given.

利用Floquet理论得到了该方程的正椭圆周期解存在的条件；然后利用上下解方法和拓扑度的同伦不变性理论，证明了该模型正椭圆周期解的存在性定理，并进行了实例验证。

To seek new infinite sequence exact solutions to nonlinear evolution equationsNEE(s, the formula of nonlinear superposition of the solutions of the second kind of elliptic equation are given, infinite sequence exact solutions to combined KdV with varible coefficients and forcible term is constructed with the aid of symbolic computation system Mathematica, which include Jacobi-like elliptic function solutions, infinite sequence soliton-like solutions and infinite sequence triangular function solutions.

为了获得变系数非线性发展方程的无穷序列精确解，给出第二种椭圆方程解的非线性叠加公式，借助符号计算系统Mathematica构造了带强迫项变系数组合KdV方程的无穷序列精确解。这里包括无穷序列类Jacobi椭圆函数解、无穷序列类孤子解和无穷序列三角函数解。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

Leaf blade elliptic or ovate-elliptic; inflorescences ca. 4 cm; labellum oblong

叶片椭圆形或卵形椭圆形；花序约的4厘米；唇瓣长圆形 48 ALPINIA coriacea 革叶山姜

Some of them were ligated to the plasmid vector pCR 2.1 andsequenced,respectively.

将所获DNA片段克隆到pCR2.1载体进行测序，并与基因组数据库进行同源性比较。

Thinking since Google owns Blogger, I would be able to escalate this issue to the support team.

自谷歌的思考拥有Blogger的，我将能够缓解这一问题的支持团队。