查询词典 integer part

A verifier can be convinced that the committed number x is neither less than the integer a nor more than the integer baiter the protocol is operated only once, and hence the exact proof that x lies in the interval is achieved.

为了去掉这种方法上的重复性，通过联合运用两承诺值相等协议及CFT证明协议提出了一个证明承诺值位于特定区间的新协议，协议运行一次便可使验证者确信承诺值x位于区间中。

In the problem, there are m persons who are to be assigned to do n jobs, and the number of the persons who are assigned to do the jth job is bj, where bj is an unknown positive integer number to be calculated such that djbjej, dj and ej are known positive integer number (j=1,2,…,n) such that ∑nj=1bj=m and m≥n.

考虑一类较一般的最优指派问题：欲指派m个人做n项工作，要求每个人只做一项工作，第j项工作可以由bj个人共同去做，其中bj是待求未知数，满足dj≤bj≤ej(即ej，dj为第j项工作所需人数的上下限)及∑nj=1bj=m，dj，ej为已知常数，j=1，…，n。

In the thesis , we give combinatorial proof of some q-identities using integer partition.In the thesis some vital identities with binomial coefficient are given with their combinatorial proof, and the q-analogues of some identities are offered with corresponding combinatorial proof using integer partition.

本文给出了一些重要的二项式系数恒等式的组合证明或组合解释，并从分拆的角度给出了一些q-恒等式的组合证明，其中突出的成果是给出了平方和恒等式的一个直接的组合证明并给出了偶数平方和与奇数平方和的q-模拟及组合证明。

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。

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。

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。