The probabilistic method is a powerful tool for dealing with many problems in combinatorics and number theory.
概率方法是解决组合数学和数论中许多问题的强有力工具。
The subject of enumerative combinatorics deals with counting the number of elements of a finite set.
计数组合学主要在探讨一个有限集合中元素个数的计算。
Master function has an important status in combinatorics. It is a powerful tool in solving combinatorics problems.
母函数在组合数学中有着重要的地位，是解决组合问题的强有力的工具。
The core of computer science is handling discrete data employing algorithms, so combinatorics is becoming more and more important.
计算机科学的核心内容是使用算法处理离散数据，组合数学的重要性日渐凸显。
Diophantine equation is an important subject in number theory and closely connected with algebraic number theory, combinatorics, algebraic geometry and computer science etc.
丢番图方程是数论中一个十分重要的研究课题，与代数数论、组合数学、代数几何等有密切联系。
Hence it contains some new and important topics of combinatorics and graph theory.
因此选择的内容主要是当前组合数学与图论中研究的十分重要课题。
This course is designed for graduate students who major in combinatorics and graph theory.
本课程是数学系研究生的专业课。它是为组合论与图论方向研究生设置的专业课程。
This thesis is devoted to the study of several problems on real-rooted polynomials in combinatorics.
本文研究了组合学中实零点多项式的若干问题。
To study combinatorial properties of discrete sequences by means of zeros of generating functions is an important topic in combinatorics.
通过发生函数的零点来研究离散序列的组合性质是组合学中的一个重要课题。
The theorem has many deep extensions which are important not only in graph theory and combinatorics but in set theory(logic)analysis as well.
这个定理有许多深刻的推广，它们不仅在图论和组合论中是重要的，而且在集论（逻辑）和分析中是同样重要的。
The mathematical content of this course involves some linear algebra, probability theory, algebra, combinatorics and topics from a variety of other fields.
这门课程用的数学涉及到线性代数、机率论、代数、组合学和各式其他的相关领域。
The enumeration problem for connective graphs with one nontrivial block was discussed by the theory of combinatorics, and the new conclusion is also given.
利用组合理论和图的计数理论，讨论了只含有一个非平凡块的连通图的计数问题，给出了新的结论。
A theory model, based on the inclusion-exclusion principle from combinatorics, was built to analyze the multicast blocking probability in WDM (wavelength division multiplexing) network.
通过建立一个基于组合数学中容斥原理的理论模型，分析了波分复用网络中组播的阻塞率。
Combinatorics, Complexity, and Chance: a Tribute to Dominic Welsh.
组合数学，复杂性和偶然性：献给多米尼克·威尔士。
Combinatorics and discrete mathematics are the most important mathematics foundation in science and technology of computer.
以离散数学和组合数学为代表的可构造性数学是计算机科学与技术学科的最重要的数学基础。
In Algebraic Combinatorics on Spheres, we want to study good finite subsets on the spheres. What does "good" mean is a part of our problem.
坂内教授是国际代数组合领域的领军人物和研究先驱。
In Algebraic Combinatorics on Spheres, we want to study good finite subsets on the spheres. What does "good" mean is a part of our problem.
坂内教授是国际代数组合领域的领军人物和研究先驱。
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