查询词典 integer polyhedron

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。

In this paper a production process flow chart of discrete manufacturing is presented by means of petri net, the optimization model of workload-stock is established. An approach of the optimal workloads is provided using analysis integer programming and integer matrices.

本文以Petri网作出一个离散制造中的生产过程流程网，建立起工作量与库存的优化模型，以整数规划与整数矩阵等分析算法给出一个在生产中制定最优工作量规划的方法。

In the solution procedure, the SLP technique based on Mixed-Integer Linear Programming method for discrete Optimal Power Flow is also included, where capacitor units, reactor units and transformer taps can be treated as integer variables.

在传统算法的整数变量截断后取得的初值不可行的情况下，执行该算法可以获得离散可行的近似最优解，实际系统的计算结果证明了所提出算法是有效的。

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。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。