查询词典 algebraic integer

A ring of integers derived from the set of all integers according to the following rule: Let N be an integer greater than 1, and A and B be two other integers; if N is a factor of A?

由全体整数的集合按下列规则产生的整数环：设N为大于1的整数，A和B是两个其它整数，若N是A？

A ring of integers derived from the set of all integers according to the following rule: Let N be an integer greater than 1, and A and B be two other integers; if N is a factor of A·B, then A is said to be congruent to a B modulo-N.

由全体整数的集合按下列规则产生的整数环：设N为大于1的整数，A和B是两个其它整数，若N是A·B的因子，则称A与B是模N的同余式。

Firstly, according to the difficulties in the optimization of chemical engineering and the intrinsic disadvantage of deterministic optimization algorithms, this work analyzed the importance and advantage of stochastic algorithms, and proposed some important aspects in research on them. Secondly, genetic algorithm was applied to two problems of data driven modeling, one of which was combination problem, the other was mixed integer nonlinear programming. Thirdly, systemic investigations were made on the basic structure, dynamic behavior and modifications of particle swarm optimization. Lastly, two kinds of proposed PSO algorithms were applied on calculation of phase equilibrium, which is nonconvex optimization.

本文首先根据化工优化中存在的困难和确定性优化算法内在的缺点，分析了随机优化算法的重要性，并提出研究随机优化算法应注意的问题；其次，将遗传算法应用于两个数据驱动建模问题，一为组合优化问题，一为混合整数优化问题；再次，从粒子群优化算法的基本结构、运动行为、改进方法做了系统的研究：最后，将提出的两种改进粒子群优化算法应用于相平衡计算问题，为非凸全局优化问题。

This main approach is also coincidence degree theory. Moreover, when the time scale T is chosen as the sets of real or integer numbers, the existence of periodic solutions for its differential or difference equation are obtained respectively.

若分别选取时标T为实数集或整数集时，则分别得到它的微分方程或差分方程周期解的存在性，这就避免了对这些生态系统的微分和差分方程周期解的存在性分别进行讨论。

In chapter 5, we study necessary conditions for difference sets and we obtain the following: we proved that there are no nontrivial difference sets in dihedral group of order 4p〓, where p is a prime, d is a positive integer; we give a necessary condition for Hadamard difference sets in some group of order 4p〓, and completely solve a general case left in Dr.

在第五章中，我们研究了差集存在的必要条件。

It includes standard validators for basic types, like: integer, float, date, time, datetime, string, filename, dirname etc.

它包括的标准的校验器可以检查基本的类型，如：整形、浮点型、日期、时间、字符串、文件名和目录名，等等。

Simple step function, discontinuous function characterized by continuous segments between points of discontinuity and continuous function, and multi--type of components in a redundancy subsystem considered, a mixed integer nonlinear planning model for redundancy and reliability optimization was presented.

考虑子系统中冗余组件的多样性以及可靠性-成本之间可能的三种函数关系，即简单的阶跃函数、连续函数以及分段连续而在分段点不连续的非连续函数，建立了可靠性冗余优化的混合整数非线性规划数学模型，并以实例进行了说明。

The security was based on difficulties in factorizing large integer and computing discrete logarithm on Abel group C.

该方案的安全性基於大数分解和有限Abel群C上计算离散对数的困难性。

The unit commitment is a large scale,discrete and non-linear mixed integer optimization problem.

电力系统机组组合问题是一个高维数、非凸、离散、非线性的混合整数优化问题。

Genetic algorithms in optimization problems with discrete and integer design variables［J］.

离散结构的遗传形状优化设计［J］。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。