椭圆的

By using of complex variable and integral equation methods, the antiplane multiple elliptical holes and multiple cracks problem of infinite region was considered in the paper.

在覆盖域的概念基础上，建立了椭圆孔边受单位集中力的反平面剪切问题的基本解，解决了无限域中含任意个椭圆孔和裂纹的反平面问题。

The numerical analysis method is used to study the ground movement laws caused by the ovalization variation in the cross section in the action of water and soil pressure of tunnel lining.Based on the stochastic medium theory,this paper suggests the method for calculating this ground movement caused by tunnel ovalization deformation.

采用数值分析方法研究了隧道衬砌在土水压力的作用下，断面所产生的椭圆化变形引起的地层位移规律，并基于随机介质理论，给出了计算隧道椭圆化变形引起地层位移的方法。

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。

The divisor class group, often called Jacobian group, based on which hyperelliptic curve cryptosystems are constructed, is much complicated than the elliptic curve rational point group.

但由于可以在一个很小的基域上构造具有较大素数因子阶的Jacobian群，且可应用于密码体制的超椭圆曲线比较丰富，这使得超椭圆曲线密码体制也逐渐受到人们的重视。

By comparing the performance of RSA and ECC, the method on how to intercept the elliptic curves and how to code the Elliptic Curve Crytosystems was provided. Fast point multiplication on a family of Koblitz elliptic curves in characteristic 3 is considered.

第二部分首先深入研究了用于身份认证和密钥分发的公钥密码体制，对RSA和ECC的性能进行比较，对椭圆曲线的选取和椭圆曲线密码体制的加密、解密算法设计进行探讨。

By comparing the performance of RSA and ECC, the method on how to intercept the elliptic curves and howto code the Elliptic Curve Crytosystems was provided. Fast point multiplication on a family of Koblitz elliptic curves in characteristic 3 is considered.

第二部分首先深入研究了用于身份认证和密钥分发的公钥密码体制，对RSA和ECC的性能进行比较，对椭圆曲线的选取和椭圆曲线密码体制的加密、解密算法设计进行探讨。

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。

A compact representation of the domain parameters of HCC is presented, and the equation of hyperelliptic curves over finite field is shortened.

给出了超椭圆曲线密码体制的基本参数的一个紧致表示，对有限域上超椭圆曲线的方程给出了一个更简短的表达形式。

The problem of scalar multiplication on the Jacobians of hyperelliptic curves is studied. A fast algorithm for scalar multiplication on the Jacobians of a kind of hyperelliptic curves based subfield is proposed with its computational cost analyzed.

讨论了超椭圆曲线密码体制的标量乘问题，对基于子域的一类超椭圆曲线Jacobian的标量乘提出了一个快速算法，并分析了算法的计算量。

The problem of scalar multiplication on the Jacobians of hyperelliptic curves isstudied. A fast algorithm for scalar multiplication on the Jacobians of a kind ofhyperelliptic curves based subfield is proposed with its computational costanalyzed.

讨论了超椭圆曲线密码体制的标量乘问题，对基于子域的一类超椭圆曲线Jacobian的标量乘提出了一个快速算法，并分析了算法的计算量。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。