查询词典 elliptic function

Starting with properties of cubic parabola, it is demonstrated elementarily that solving elliptic equations using Jacobian elliptic functions, analytic solutions for a class of nonlinear wave equations and properties of nonlinear waves can be obtained, especially for solitary waves.

从立方抛物线的特性谈起，用较初浅的方法，借助于雅可比椭圆函数求椭圆方程的解，说明一类非线性波方程可用行波法求解析解。

With the emphasis of the algorithms for the fast implementation of the elliptic curve, the correlative content of elliptic curve cryptosystems theory is introduced.

本文主要介绍了椭圆曲线公钥密码的相关内容，在这一基础之上重点研究了椭圆曲线公钥密码快速实现的方法。

ECC system makes use of the finite group of elliptic curve on the finite field instead of finite cyclic group used in the discrete logarithm problem. The theory of ECC is being studied a lot and it is the focus of the cryptography and the industrial estate, especially the technique of the implementation of ECC.In this thesis, the meaning of the information technology is discussed firstly, then we analyze the classical cryptography algoritham. After that, the mathematics base of elliptic curve cryptosytems are introduced, especially the theory of the finite field. As for some algorithms, we also give out the program of reliazation.

随后，介绍了研究椭圆曲线密码系统所需要的数学理论基础，特别是有限域中的椭圆曲线理论，并对相关的方法给出相应的实例及其程序实现；论文第三章讨论给出了椭圆曲线密码体制的研究现状，综述了椭圆曲线与现有一些密码算法的结合，介绍了椭圆曲线的离散对数问题以及椭圆曲线面临的攻击，详细描述了椭圆曲线密码系统的实现细节及各个部分的实验数据。

Leaf blade elliptic or ovate-elliptic; peduncle very short; each cyme 2-4 × branched; thorns erect.

叶片椭圆形或卵形椭圆形；花序梗非常短；每聚伞花序 2-4 *分枝刺直立。

Second, we consider the strongly coupled elliptic system with homogeneous Dirichlet boundary conditions. The prior estimates for thesolution of nonlinear elliptic system are derived. It is shown that there is no coexistence state if diffusion rates are strong, or if the intrinsic growth rates are slow.

第二章研究带齐次Dirichlet边界条件的强耦合椭圆系统，首先推出非线性椭圆系统解的先验估计，然后证明了当食饵和捕食者的扩散率足够大，或者出生率足够小时，系统不存在共存现象，并给出半平凡解存在的充分条件。

In this thesis,we study the existence and the regularity of positive classical solution and the existence of the large solutions for a singular semilinear elliptic Dirichlet problem and a semilinear elliptic value problem of second order with gradient terms.

本文研究一类奇异半线性椭圆型方程的Dirichlet问题正的古典解的局部存在性及其正则性以及一类含对流项的二阶半线性椭圆型方程爆破解的局部存在性。

anisotropic medium, elliptic cylinder, scattering, mathieu functions, elliptic coordinates, dynamic stress concentration factor

本文利用椭圆坐标中的变量分离方法，由Mathieu函数给出了各向异性介质中椭圆柱面对SH波散射

In using the elliptic curve cryptosystem, it is important to select a secure elliptic curve.

在使用椭圆曲线密码系统时，挑选一个安全性高的椭圆曲线是很重要的。

In this paper, the analytic solution for scattering of SH-wave by elliptic cylinder in anisotropic medium is given by the method of separation of variables in elliptic coodi- nates and Mathieu functions.

对于这一课题的研究，介质为各向同性时，有些学者采用波函数益加〔，积分方程技术田和Fourier积分方法⑧；介质为各向异性时，有些学者则利用复变函数构造解的完备函数序列，把间题转化为对一组无穷型的代数方程的求解〔魂，〔5，。

The scattering by different shape and different media such as dielectric chiral or conduct circular cylider or elliptic cylinder are calculated and RCS curves are maped. The relation between the optimal polarization of the chiral elliptic cylinder and incident angle are maped. In accordance with the map, the information which is useful for radar target identification can be obtained.

对不同形状及参数的导体圆柱、椭圆柱，一般介质圆柱、椭圆柱，旋波媒质椭圆柱的散射特性进行了计算，给出了其RCS的变化曲线，并对极化散射矩阵进行了分析给出了旋波媒质椭柱最优极化的分布图，指出了其可提取用于目标识别的极化信息。

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