查询词典 integer linear optimization

Common fraction :a fraction having an integer as a numerator and an integer as a denominator.

分数：一个有整数分子和整数分母的分数。

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

For example,suficient of polynomials with integer coefficient is not integer root and is not repeated complex root etc.

包括整系数多项式的无整数根的充分性，整系数多项式无重根的充分性。

A floating literal consists of an integer part, a decimal point, a fraction part, an e or E, an optionally signed integer exponent, and an optional type suffix.

浮点文字量由整数部分，小数点，小数部分，e或 E，可选的有符号整数指数，以及可选的类型后缀组成。

To solve the problem that accuracy of traditional fault location algorithm for traction networks is affected by integer, non-integer harmonics, electric locomotive and fluctuation of traction line s parameters, a novel fault location algorithm is presented which uses fault-generated transient voltages measured at single terminal.

针对牵引网目前广泛应用的故障测距算法易受整次、非整次谐波、机车负荷以及线路参数波动的影响，提出一种利用线路单端暂态电压进行精确故障测距的新算法。

When A is an even integer, the operator obtained by us include the example given by Boca. When A is an odd integer, we give a new closed form of projection operator in terms of elliptic function.

这些算子在A为偶数时包括了Boca的著名例子，而在A为奇数时给出了新的由椭圆函数表达的有限形式。

Wh.en. A is an even integer, the operator obtained by us include the example given by Boca. When A is an odd integer, we give a new closed form of projection operator in terms of elliptic function.

这些算子在A为偶数时包括了Boca的著名例子，而在A为奇数时给出了新的由椭圆函数表达的有限形式。

More and more scholars have considered that segments dont compose the integer but create the integer and naught create adsum as well as fewness create more.

越来越多的学者认为，不是部分构成了整体，而是部分生成着整体，是无生成着有，少生成着多。

The gray digital images can be regarded as matrixes with the integer data type. In each row of matrix, the integer data sequence can be represented by the Fourier series expansion and it can be regarded as the initial condition of the diffusion equation.

灰阶数位影像可以视为矩阵的整数资料型态，我们利用傅立叶级数，将矩阵中每一列的整数资料以傅立叶级数展开，当作扩散方程式的起始条件。

This test method is called integer-variation test, and it is based on the statistical distribution of the fractional part of a random variable multiplied by an appropriate integer.

证明了首项系数为整数的n个独立随机变量和的小数部分的统计分布性质，并证明了当求和个数趋于无穷时的统计分布性质。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。