组合数学

采用组合数学中典型的型分配问题的求解方法，得到求取分配数的实用递推公式，从而提出针对（n，k）码的兼容最大编码容量的小量模块编码容量计算方法。

The maximal little-piece compatible-code capacity was calculated using the applied recursion fomula , which was derived from the solution for classic allocation in combinatorics .

TSP属于组合数学中一个古老而又困难的问题。

Traveling Salesman Problem ( TSP ) is considered as an old and difficult problem in combinatorics .

讨论了推引原子谱项的组合数学方法中的程序设计原理，通过数组元素的运算，实现了该法计数母函数的多项式展开，编制了从分式到多项式展开式的BASIC程序。

The program design principle of the combinatorial method deriving atomic terms is discussed . The polynomial expansion of the counting generating function is realized by the calculation of array elements and a BASIC program of the expansion is developed .

利用组合数学、图论和数论知识，给出了两种计算有限环Z4上码字深度的递归算法。

By using combinatory mathematics , theory of graph and number theory , two recursive algorithms for computing the depth of a codeword on ring Z_4 are presented .

UPS利用组合数学的算法得出，以上所述的情景中所有可能的线路的总数，是一个199位的数字。

According to UPS , the number to describe the complete set of possibilities in the scenario outlined above , as calculated using combinatorial mathematics , would have 199 digits .

近年来，由于序与偏序集理论在组合数学、Fuzzy数学、计算机科学、甚至社会科学中得到了广泛的应用，因而使格论有了较大的发展，逐渐成为现代数学的重要分支之一。

In recent years , as order and partial ordered set theory were widely applied in the combinatorics , Fuzzy mathematics , computer science , and even in the social science , the lattice theory has became an important branch of mathematics . Since F.

探讨了组合数学法和BRO策略法两种不同的设计测试用例的方法在路径测试中的应用。

This paper explores into the application of the combined mathematic method and BRO tactful method in the path testing .

与Sidon序列有关的一个组合数学问题初探

Tentative Study a Combinatorial Problem Related to Sidon Sequences

结合抽象代数，组合数学，矩阵理论等知识，提出一种有限阿贝尔群上Jacket矩阵的构造方法，扩展了Jacket矩阵家族。

The combination of abstract algebra , combinatorial mathematics and the matrix theory knowledge , we propose a new construction of Jacket matrix based on finite Abelian group , which expand the Jacket matrix family .

Bernoulli数、Stirling数、Euler数在组合数学、函数论、理论物理及近似计算等方面均有广泛的应用。

Bernoulli numbers , Stirling numbers and Euler numbers have a wide range of applications in many fields such as combinatorics , function theory , theoretical physics , approximate calculation , and so on .

通过研究离散的Hopfield神经网络模型，运用神经优化计算的方法，采用计算能量函数，建立了组合数学中八皇后问题的各类神经网络模型。

Some application of neural networks in combinatorial optimization was studied and the model of decreasing energy functions about the eight queens'problem in combinatorial optimization was got , which is based on Hopfield neural networks models .

第一章，介绍了组合数学的起源、历史与发展情况，以及本学科领域的一些基本成果，并针对零和问题及Davenport常数进行阐述，用以对D（G）有较为明确的认知。

Chapter 1 introduces the origin , the history , the development of Combinatorial Number Theory , and some already obtained achievements in this field , primarily expounds zero-sum problem and Davenport 's constant for later parts .

利用指数生成函数的方法与技巧研究了组合数学中重要的有序Bell数，获得了有序Bell数的渐近计数公式，该公式以非常高的精确度逼近有序Bell数的真正值。

The asymptotic counting formula of ordered Bell numbers is obtained by means of the method and technique of exponential generating function in combinatorial analysis . This asymptotic counting formula approximates the true vaules of ordered Bell numbers in very high precision .

确定Ramsey数是著名的组合数学难题之一，不仅具有重大的理论意义，而且在计算机科学、通信、管理决策等许多领域有实际应用。

The determination of Ramsey numbers is a very difficult problem in combinatorial mathematics . Ramsey numbers not only have important theoretical significance , but also may be applied to computer science , Communications , decision-making , and so on .

采用迷宫映射方法和关键阱格点互斥的十字叉判据，将CMG机构的编码问题转换为图论中顶点着色问题，揭示了这种锁机构的组合数学原理。

With the maze mapping method and the orthogonal mutually exclusive criterion of the critical trap grids , the optimized coding problem of CMG mechanism is transformed into that of vertex coloring problem in graph theory . It is revealed that the working principle of the lock mechanism is combinatorics .

矩阵链性在组合数学中的应用

The Application of the Chain Possibility of Matrix in Combination Mathematics

第二类窃密信道中的组合数学方法

The Combinatorial Methods Used in the Wire-Type Channel of Type ⅱ

分形油藏低速非达西渗流问题的组合数学模型

Combined math model of low non-Darcy flow in fractal reservoir

一个组合数学问题及其在钥匙编码问题的应用

A combinatorial problem and its application in counting the number of key codewords

形式化开发若干组合数学问题的算法

Formal Development of Several Algorithms for Combinatorial Mathematics Problems

拟阵是组合数学和离散数学的重要组成部分。

Matroid theory is an important part of combinatorial mathematics and discrete mathematics .

图论是组合数学中的一个重要分支。

Graph theory is a branch of combinatorial mathematics .

组合数学在数论中的应用实例

Applied Examples of Combinatorial Mathematics in Number Theory

玻璃行业造气用煤优化组合数学模型

Math Model tor Optimizing the Mix of Gas-making

概率论方法在组合数学中的应用

Application of Probability Method in the Combinatorial Mathematics

分形油藏非牛顿幂律流体低速非达西不稳定渗流的组合数学模型

The combined mathematical model of non-Newtonian power-law fluids with low-velocity non-Darcy flow in fractal reservoirs

组合数学的科学艺术表现

Science and Art Represention of Combinatorial Mathematics

组合数学中心是其中规模最大、最优秀的研究中心之一。

Combinatorics is a part of mathematics , which is done all over the world .

先天易中的组合数学模型及研究

Modeling of Combinatorial Mathematics in Yi Jing

组合数学方法推引原子谱项（Ⅳ）展开计数母函数的程序设计

ATOMIC TERMS DERIVED BY COMBINATORICS (ⅳ) Program Design of Finite Expansion of Counting Generating Function