查询词典 discrete mathematics

Other semirings arise naturally in such diverse areas of mathematics as combinatorics, functional analysis, topology, graph theory, Euclidean geometry, probability theory, commutative and noncommutative ring theory, optimization theory, discrete event dynamical systems, automata theory, formal language theory and the mathematical modeling of quantum physics and parallel computation systems.

在许多不同的数学领域存在着其它形式的半环，比如组合学，泛函分析，拓扑学，图论，欧式几何，概率论，交换和非交换环，优化论，离散动力系统，自动化理论，形式语言理论，量子物理的数据模型和并行计算系统。

In a January, 1994 Mathematics of Computation article by Richard Crandall and Barry Fagin titled "Discrete Weighted Transforms and Large-Integer Arithmetic", the concept of using an irrational base FFT was introduced.

一节(译注：中文版第267页)。1994年1月，由理查德·克兰多尔和巴里·费金合著的题为"离散加权变换和大整数算术"的计算数学文章，引入了无理底数 FFT 的概念。

ECC system makes use of the finite group of elliptic curve on the finite field instead of finite cyclic group used in the discrete logarithm problem. The theory of ECC is being studied a lot and it is the focus of the cryptography and the industrial estate, especially the technique of the implementation of ECC.In this thesis, the meaning of the information technology is discussed firstly, then we analyze the classical cryptography algoritham. After that, the mathematics base of elliptic curve cryptosytems are introduced, especially the theory of the finite field. As for some algorithms, we also give out the program of reliazation.

随后，介绍了研究椭圆曲线密码系统所需要的数学理论基础，特别是有限域中的椭圆曲线理论，并对相关的方法给出相应的实例及其程序实现；论文第三章讨论给出了椭圆曲线密码体制的研究现状，综述了椭圆曲线与现有一些密码算法的结合，介绍了椭圆曲线的离散对数问题以及椭圆曲线面临的攻击，详细描述了椭圆曲线密码系统的实现细节及各个部分的实验数据。

In this paper, we introduces discrete Ricci flow as an efficient and powerful mathematics tools, by which we can computer conformal metric and conformal structure of the surface.

本文引入离散的Ricci流方程这个强大的数学工具，成功地计算出了曲面的共形度量和共形结构。

ECC is set up on the basis of solving this mathematics difficult problem of the Elliptic Curve Discrete Logarithm Problem.

椭圆曲线密码体制建立在解椭圆曲线离散对数问题这一数学难题的基础上。

Through careful analysis of the mathematics model of daily dispatching optimization of the cascade hydropower station, a new method based on the combination of two dimensional dynamic programming and discrete differential dynamic programming is proposed.

通过仔细分析梯级水库日优化调度的数学模型，提出了一种基于二维动态规划和离散微分动态规划相结合的混合求解策略，该策略理论上严谨，计算时间比较短，能满足日常调度的需要。

This paper introduces the common solutions to convolution integral of discrete causal series and further proposes a simpli solution using the knowledge of elementary mathematics.

本文介绍了在离散因果序列卷积和的求解中的常用解法，在此基础上应用初等数学的知识介绍了一种简便解法。

Because the modern manufacturing system is a kind of discrete systems with nonlinearity, discreteness, randomness and complexity, it is difficult to describe the structure and control of the system with common mathematics models.

现代制造系统是一类具有高度非线性、离散性、随机性和复杂性的离散系统，这类系统的结构和控制问题难于用一般的数学模型来描述。

For the first time, from mathematics approach, the prior probability distribution of risk analysis was derived by the use of POME in two cases that were discrete and continuous information source.

首次分离散信源和连续信源两种情况，从数学途径阐述了POME在确定风险分析先验概率分布中的应用，以确定几种常用分布及估计其参数为例加以了解释。

Based on theories of envelope and discrete mathematics, the geometric models of flutes being machined are theoretically studied, the approaches of checking machining theories and simulation of machining process are discussed, and wireframe or entitative simulation pictures are given.

基于包络和离散数学理论，论文对加工后的刀槽几何模型进行了理论性研究，讨论了成形理论检验及加工过程的仿真方法，给出了加工过程线框的或实体的仿真图形。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。