查询词典 ovate-elliptic

The emulation result shows that the error of polarizer rotation angle almost does not influence nonlinearity when elliptic polarization of laser beams exists; when the error of rotation angle of polarizing beam splitter exists, the second-harmonic nonlinearity caused by the error of polarizer rotation angle will not increase, but the first-harmonic nonlinearity will increase greatly.

仿真结果表明，当存在激光束椭圆偏振时，检偏器旋转误差对非线性误差的影响很小；当存在偏振分光镜旋转误差时，检偏器旋转误差引起的非线性误差不增加二次谐波分量，但增大了非线性误差一次谐波分量，严重影响非线性误差的大小，当偏振分光镜旋转误差为3°时，检偏器旋转误差从0°增加到5°，非线性误差从0.14 nm增大到0.97 nm。

In this paper, we use covol-ume method to discrete second order norisyrnmetric and indefinite elliptic problem on a polygonal domain.

本文用有限体积法离散多边形区域上的二阶非对称不定椭圆问题。

In this paper, a high performance elliptic curve cryptography processor over GF2(superscript m in polynomial basis representation was proposed.

针对高速椭圆曲线加密应用的要求，设计了一种多项式基表示的有限域GF2(上标 m上的高速椭圆加密处理器。

Carleman不等式及其在最优控制问题中的应用.Optimal control theory of distributed parameter systems mainly includes: Pontryagin's maximum principle; controllability; Hamilton-Jacobi equation (i.e., dynamic programming equation); time optimal control, etc.In this dissertation, we establish Pontryagin's maximum principle of optimal control problems governed by some nonlinear differential equations (parabolic differential equations, elliptic differential equations and 3-dimensional Navier-Stokes equations), which in particular could have local solut...

在这篇博士论文中，我们建立了非线性微分方程(包括抛物型微分方程，椭圆型微分方程以及3维Navier-Stokes方程)最优控制问题的庞特里雅金最大值原理，特别地，这些方程可能只有局部解或存在多解(我们称这样的系统为非适定系统，相应的最优控制问题为非适定最优控制问题)，以及适定的非线性发展方程最优控制问题的庞特里雅金最大值原理；我们研究了phase-field系统的时间最优控制问题以及Boussinesq系统的局部内可控性。

This paper describes the Atkin's elliptic curves primality proving algorithm and discusses all implementation details of this algorithm. Finally it gives the implemention of this algorithm by software and exhibits an example explicitly. This algorithm is implemented with software and this software is used to test some general large integers and acquire a good testing result.

文章给出了由Atkin提出的一种非常有效的素性测试方法即椭圆曲线素性证明算法，详细讨论了具体实施该算法的所有细节，而且通过在计算机上编程获得了其软件实现，并用该软件来测试一般的大整数的素性，取得了很好的效果。

If we know the exact value of ψ_m, we will have, for integers ψ_m, a deterministic primality testing algorithm which is not only easier to implement but also faster than either the Jacobi Sum test, the elliptic curve test, or the AKS algorithm.

如果知道ψ_m的准确值，那么对小于ψ_m的整数N，我们就有一个确定性素性测定算法，它不仅容易实现而且比Jacobi-Sum算法、椭圆曲线素性证明算法和AKS算法速度都要快。

The applied mathematics in cryptography is mainly consisting of the study of prime factorization,Finite Field,Elliptic Curve and so on.

关于暗号理论中的应用数学主要是素因子的分解，hashu关数，有限体，群论，数论和代数学等等。

The Discrete Logarithm Problem was analyzed. Based on the discrete logarithm in the prime field, and combined with the elliptic curve DLP in the limited domain, a new digital signature was brought up.

分析了离散对数问题，以素数域上的离散对数为基础，同时结合有限域上的椭圆曲线离散对数问题，提出一种新的数字签名方案，其安全性建立在离散对数算法上。

The stuff in between, including the internal Lemma, is there only to prove there exists an injective map from the group of rational points on an elliptic curve to the group of points over each finite field of prime order not dividing 2D where D is the discriminant.

证明中间的引理，主要是证明椭圆曲线上有限阶有理点到有限域上椭圆曲线的点之间的嵌入映射的存在性，其中点的阶不整除两倍的判别式2D。

Building elliptic curves over large prime field whose orders contain two or more large prime factors, and which have no subgroups with smooth orders.

椭圆曲线密码体制近几年来已成为密码学界的一个研究热点，有望在某些领域替代RSA等现行密码体制，不管在理论界还是应用领域都已引起了极大关注。

He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是，如果你们想吃的话。