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Taking into account the temperature effect ,the nonlinear vibration of elliptic paraboloid cable net using carbon fiber cables under foundation displacement excitation was studieded.Then the nonlinear vibration equation was presented,whose approximate solution was given with Galerkin principle and KBM method.

在考虑温度变化的基础上，研究椭圆平面双曲抛物面碳纤维索网在基础激励下的非线性振动问题，建立了椭圆平面双曲抛物面碳纤维索网在基础位移激励下的非线性振动方程，采用Galerkin原理及KBM法求得了椭圆平面双曲抛物面碳纤维索网非线性振动的近似解。

He proved that the existence of the quasi-periodic solutions when the toriadmit 2-dimensional elliptic equilibrium point.

他证明了当系统有二维椭圆不动点时拟周期解的存在性。

Point algorithms on elliptic curve are essential operations in ECC and its speed are decided by selected coordinate.

椭圆曲线上点运算是该密码体制核心运算，而坐标系的选取决定了点运算速度。

The thesis deals with the design and implementation of elliptic curve point multiplication architectures.

模平方运算模块设计时，将平方和快速模约同时处理，减少了暂存单元。

The efficient algorithms to select the high-randomicity secure elliptic curve and randomicity base point are devised and implemented.

深入研究了高效实现椭圆曲线公钥密码体制的若干关键问题，设计和实现了高效安全椭圆曲线和随机基点选取算法。

But Shao's algorithm which tries to achieve the hash value of a point on elliptic curve and an integer,cannot be realized.

但Shao算法中对椭圆曲线点与整数求hash值，实际中无法实现。

The definition and characters of Double-module quadratic residue is discussed in this paper,The arithmetic for choosing base point of Elliptic curve cryptosystem in optimal extension field is worked out and proven mathematically,moreover,the successful probability is also provided.

本文讨论了重模二次剩余的定义、性质，完整地设计出选取最优扩域上的椭圆曲线密码系统的基点的算法，并给出了选取成功的概率和相关数学证明。

The algorithm has been realized on PC by assembly language. Hence the problem of how to choose a base point and how to code data into a point over an elliptic curve is resolved completely.

在PC机上用汇编语言实现的结果表明，该基点选取算法适于微机实现且实际可行，从而全面解决了椭圆曲线密码体制中基点选取及如何把数据编码为椭圆曲线上点的问题。

If the point of the ellipse, the vrachyaxis ratio 4: 3, the original 4 per cent of elliptic point Sun on the rest is not 1％, but not all get as the point of vrachyaxis length happens to be a circular diameter of 3% of the net-point.

如果把这个椭方不面的不幼、不幼轴比例规不退为4： 3，则本来4％的椭方不面晒到版上剩下的不离不是1％，而是残被晒不有了！因为这个不面的不幼轴不幼量刚好是方形3%网不面的直径。

The main operations is point operation in elliptic curve. Compared with previous certificateless encryption schemes related to bilinear pairing operation the scheme is more efficient on computation.

该方案主要涉及椭圆曲线上的点运算，与原有无证书加密方案中采用双线性对计算相比具有更高的执行效率。

In other research, chondroitin is being investigated for use in several other conditions.

在其它研究，软骨素被调查用於几个其它情况。

They would make fun of him for having to work.

他们拿他的工作来开玩笑。