超椭圆的

Firstly, some basic concepts about ECC are introduced;then the scalar multiplication under affine coordinate is discussed, we make a research and analysis of the side channel attack of scalar multiplication used in portable device, give out a new scalar multiplication algorithm which has the advantage of efficiency over other protected algorithm; and an improvement of the standard scalar multiplication algorithm proposed by IEEE1363 is made with the efficiency increasing by about 10%; at last, we deal with the using of complex multiplication in scalar multiplication algorithm, we generalize the methods and deduce a complete computing procedure, with proposing a new method which used several different fast endomorphism ,we give out an approach to boost the scalar multiplication with fast endomorphism.

本文首先介绍了椭圆曲线密码的有关基本概念；其次介绍了椭圆曲线上点的标量乘法在仿射坐标下的计算，对一般便携设备上的椭圆曲线点的标量乘法的边信道攻击做了研究与分析，给出了一种在效率上优于其它可抵抗边信道攻击的标量乘法的新算法，并对IEEE P1363 标准给出的标量乘法做了改进，使得标量乘法的运算效率提高了近10%；最后介绍了利用复乘计算标量乘法的方法，对已有的方法进行总结归纳，得出完整的计算过程，并针对两类超奇异椭圆曲线给出了一种利用多个可快速计算的复乘的标量乘法，得出一类普遍的结果，并给出了进一步用复乘加快标量乘法的思路。

In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.

在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。

The ellipsoidal coordinates and the square root characteristics of the displacement jumps across the crack surface are cleverly used in the hypersingular integral equations for an arbitrary planar crack embedded into the infinite three dimensional homogeneous elastic solid.

对无限大三维均质弹性体中任意平片裂纹的超奇异积分方程，巧妙地引入椭球坐标系和利用裂纹表面位移间断具有平方根的特性，获得了受任意方向均布内压力作用下椭圆平片裂纹问题的超奇异积分方程的解析解。

A class of elliptic problems in Orlicz-Sobolev space with Neumann boundary conditions are studied. The sublinear case and the superlinear case are discussed, and using the classical critical point theory with the Cerami compactness condition two existence theorems are given.

研究一类在Orlicz-Sobolev空间上具有Neumann边界条件的椭圆问题，分别讨论了次线性和超线性情形，利用满足Cerami紧性条件的经典临界点理论给出两个解的存在性定理。

Today, all the known proxy digital signature schemes has the same problem that can't provide the overall, complete, reliable control ability on the stretch of proxy digital signature power. In this paper, we advances a new proxy digital signature scheme based on hyperelliptic curve discrete algorithmic problems which is called as Xiao's Hyperelliptic Curve Limited Proxy Signature.

本文针对目前的各种代理签名方案所存在的无法实现对代理签名者的代理签名权力进行全面、完整、可靠地控制的问题，提出了一种具有限制代理签名者行使代理签名权力的基于超椭圆曲线离散对数问题的新型可控代理签名方案XHCLPS，同时对这一方案的复杂性和安全性进行了分析。

The Weil Descent's algebraic method for DLP in the Jacobian of hyperelliptic curves which generalized by Galbraith is analyzed, and the problem of whether or not the Weil Descent'method can be used to attack the HCDLP with the form of y〓+xy=f defined over GF is discussed in detail.

研究了Galbraith提出的对超椭圆曲线的离散对数问题的WeilDescent代数攻击方法，对定义在GF上的形如y〓+xy=f的HCDLP能否用Weil Descent代数方法攻击作了详细讨论。

Linear triangular element is considered to solve the second order elliptic boundary value problem in 2-D. By using of the distinctive structure and some novel approaches, we obtain the super-close and superconvergence results on certain kind of anisotropic meshes.

讨论在有限制的各向异性网格下用线性三角形有限元逼近二阶椭圆边值问题，利用单元构造的特殊性和一些新的技巧得到相应的超逼近和超收敛结果。

The SeaRovers large oval cock pit for comfortable re-entry and is standard equipped with individually contained double day hatches , an exclusive Point 65 feature - as well as a newly designed super-comfy back rest, an ergonomically designed seat, a retractable skeg and innovative new foot braces. It is available with an optional, ingenious rudder and rudder control system.

SeaRovers 大而椭圆的驾驶室提供舒适的进仓环境，标准配置，包含个人2天的仓口，这是 Point65的独家特色，以及一个新的超轻松的背部休息设计，一个人体功率学设计的坐椅，可收回的 skeg ，创新的脚瞪带，可选择一个设计精巧的裹和舵控制系统。

The structure of axon was completed, and the arrangement of regenerated nerve fibers with rotund or elliptoid shapes was closed.

电镜超微结构观察可见再生的神经纤维较粗大，排列紧密，呈均匀一致圆型或椭圆型，髓鞘较厚，轴突结构完整。

Subsequently, We studied the Duursma-Lee algorithm and the modified Duursma-Lee algorithm that are algorithms of computing Tate pairing of supersingular elliptic curve over finite fields with characteristic three.

其次，本文对计算特征为3的有限域上超奇异椭圆曲线Tate Pairing的Duursma-Lee算法和Modifled Duursma-Lee算法进行了研究。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。