查询词典 combinatorial closure

Our studies mainly focus on the free groups with finite ranks . Free groups with finite ranks are the fundamental subjects of combinatorial group theory, and they have central importance for the studies of both topology and algebra.

我们研究比较多的是有限秩的自由群，有限秩自由群是组合群论的中心课题，是一个在拓扑学及代数学上都具有重要意义的研究对象，获取有关这些自由群的结构的信息的一个主要方法是研究其上的各种自同构作用。

Generalized pseudorandom punctured binary sequence pair along with the transformation properties and combinatorial limited conditions are presented.

首先推导出二元序列偶的周期相关理论界，这为进一步研究具有良好相关特性的二元序列偶集提供了理论基础。

In this thesis, by employing generating function technique, some new combinatorial identities have been established.

本文利用发生函数理论建立了一系列新的组合恒等式，并且利用发生函数方法讨论了一些级数的取整值问题以及某些多项式在有理点的取值问题。

The graph coloring problem is a widely studied combinatorial optimization problem.

图的着色问题是一个被广泛研究的组合优化问题。

Graph coloring problem is a NP-complete one of graph and combinatorial optimization.

图着色问题是图与组合优化中的一个NP-完全问题。

Graph Coloring Problem is one of the typical NP-hard problems in combinatorial optimization problem.

图着色问题（GCP，Graph Coloring Problem）是经典的NP-Hard组合优化问题之一。

And we have given Hadamard matrix in detail in block design, coding and the specific application in communication., Hadamard code as a nonlinear combinatorial code has catered to the need of development of computer technology, stock systematic data and high speed for realizing and reliable access, request the error control code has not only little redundancy, but also can parallel encoding and decoding with high speed.

Hadamard码作为一种非线性组合码，迎合了计算机技术的发展对实现存储系统数据高速且可靠地存取，要求所采用的差错控制码不但冗余度小，还应当能高速并行编码和译码的需要。

In the nature of things, GA and NN are selected to solve combinatorial problem, and to seek some balance between speed and precision.

因此遗传算法和神经网络便理所当然地成了解决组合优化问题并在速度和精度之间寻求平衡的工具。

The existence of a large set of pairwise disjoint Kirkman triple systems is an old and interesting combinatorial problem.

中文摘要：两两不交的Kirkman三元系大集的存在性问题是个古老而有趣的组合问题，它源于1850年的"Sylvester 15女生问题"。

The problem on the existence of large sets of Kirkman triple systems is one of problems in combinatorial designs theory, which is of long history and hard to study.

Kirkman三元系大集的存在性问题是历史悠久且研究最困难的组合设计问题之一。

World War II: Battle of Saipan - Americans take Saipan.

1944年的今天，美国在塞班战役中拿下塞班岛。

When the scorner, the rejecter of truth, has become presumptuous; when the routine of work in the various money-making lines is carried on without regard to principle; when the student is eagerly seeking knowledge of everything but his Bible, Christ comes as a thief.{DA 635.3

当讥诮和拒绝真理的人，到了任意妄为时，当追求财利者罔顾按道义经营谋利时，当学人正在兢兢业业地研究各种知识，而单把圣经丢在一边时，基督要像贼一样来临。