椭圆的

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, according to the basic principle of light– ray propagation, the elliptic cylinder lenses have been designed and used to collimate the semiconductor laser beam. With the computer simulation by use of Matlab, the numerical results are given. The numerical results indicate that the divergence angle of the collimating beam could be as high as 0.1mrad.

在本文中，针对现在对半导体激光器准直的要求作者基于利用柱透镜对半导体激光器光束准直的理论分析，设计了利用椭圆面柱透镜对半导体激光器进行光束准直的方案，对半导体激光器发出的光束经过椭圆面柱透镜的光路进行计算，并且利用Matlab对方程进行求解及计算机模拟得到最终结果。

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。

Using algebraic methods which include extended Tanh-method,some new solitary solutions to the DBM and Log-DBM equation,such as singular solitary solutions,double singular peakon solitary wave solutions,double solitary wave solution with peakon and singular periodic solitary wave solutions are obtained..With the aid of an auxilitary function combined with the elliptic integral of the first kind,periodic solitary solution,singular and periodic singular solitary solutions can be obtained.

第三章利用扩展的Jacobi椭圆函数展开法研究了方程，并给出ZK-MEW方程的Jacobi椭圆函数解，特别的，当模数m→0和m→1时，其中一部分解退化为三角函数解和孤立波解；其次使用sn-cn拟设法，研究了K(k，s，1)方程，得到了k=s=3时的新的精确解，并在模数m→0和m→1时得到了丰富的三角函数和孤立波解。

The analyzing result reveals that the normal motion behavior of stator surface points is not pure planar elliptic, which breaks the concept of elliptic motion usually assumed by many researchers. On basis of these analyses, the criteria of vibration mode select and optimal design are presented for simple-free and free-free supported stators.

首次提出了定子表面质点非平面椭圆运动行为的一般性，打破了国内外学者经常假设的椭圆驱动轨迹的局限性；以此为基础提出了定子在简支和自由边界条件下的振动模式选择和结构参数优化设计的原则。

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。

At the same level of security, the basis field of hyperelliptic curve cryptosystems is smaller than that of ECC, and almost all protocols based on the standard DLP such as DSA and ElGamal can be planted to HCC.

在同等安全水平下，超椭圆曲线密码要比椭圆曲线密码所用的基域小，且HCC可以模拟基于一般乘法群上的如DSA、ElGamal等几乎所有协议；在同样的定义域上，亏格越大(g≤4)，曲线越多，所以选取用于密码中的安全曲线的余地越大。

In order to probe the relationships between wave equation offset domain common image gathers/angle domain common image gathers with migration velocity, we quantitatively derive the changes of ODCIGs and ADCIGs along with migration velocity on the assumption of uniform velocity medium with a horizontal reflector. We come to conclusion that ODCIGs are hyperbolas with half offset; on the contrary, they are ellipses. Combined with the results of depth focusing analysis, we find the apparent incident angles in ADCIGs are larger than the real incident angles when the migration velocity is larger than the true one and vice versa. With lower migration velocity, the residual moveout on ADCIGs is an ellipse with the tangent of apparent incident angle; otherwise, it's a hyperbola.

为了得到波动方程偏移距域共成像点道集和角度域共成像点道集与偏移速度的关系，在匀速单层水平反射情况下，对ODCIGs和ADCIGs随偏移速度的变化进行了定量的推导，得到偏移速度偏小时ODCIGs与半偏移距成双曲关系，反之成椭圆关系；结合深度聚焦分析，得到偏移速度偏大时ADCIGs中视入射角大于真入射角，反之，小于真入射角；在速度偏小时，ADCIGs上剩余时差与视入射角的正切值成椭圆关系，反之成双曲关系。

The remnants of ellipticity in the parabolized stability equations for three dimensional parallel incompressible boundary layer flow are studied, detail methods for removing the ellipticity are suggested, and the consistence of solutions between the parabolized stability equations and the fully elliptic problem is provoed.

针对三维平行不可压边界层流动的抛物化稳定性方程，研究其剩余的椭圆特性，提出了消除该特性的具体方法，并对抛物化稳定性方程解与全椭圆问题解的一致性进行了证明。

Non-extension and equal shortening plane: The plane that cut through the center of the strain ellipsoid is normally elliptical but there are two tangential, global and strain ellipsoid circular sections.

无伸缩面与等伸缩面：切过应变椭圆球体中心的面一般为椭圆形状，但其中有两个切面的球形的，较应变椭球的圆截面。

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。