组合学

早期对一些计数函数的研究是引入组合学研究方法的重要内容，如Fibonacci数、Catalan数和Stirling数等经典计数函数；

Discuss earlier researches on such counting functions , as Fibonacci numbers , Catalan numbers and Stirling numbers .

介绍了组合学在抗干涉齿轮集（CMG：counter-meshinggears）机构的优化编码、传感器网络节点布设中的两类应用。

Two applications are introduced : the optimal coding problem of the Counter Meshing Gears ( CMG ) mechanism , and the optimal deployment problem of sensor networks ' node .

单峰型问题是组合学中基本的研究课题之一，其内容包括单峰性、对数凹性、对数凸性和PF性质的研究等。

Unimodality problem is one of the primary topics in combinatorics , including the study of unimodality , log-concavity , log-convexity and P (?) lya frequency property .

在讨论（v，k，1）光正交码存在性的几个条件的基础上，利用组合学的知识及方法解决（v，k，1）光正交码的存在性，并给出一些结果。

In this paper , a necessary and sufficient condition for ( v , k , 1 ) & Optical Orthogonal Code existence is discussed by making use of combinatorial results and method . And some conclusions are obtained .

本文对具有准递减限制的n阶排列进行了研究，利用计算机科学中的堆栈（stack）技术和组合学原理，给出了满足这个限制的几阶准递减排列的计数公式。

This paper conducts studies on N order permutation of quasi-decreasing limitation , and gives a counting formula for N order quasi-decreasing permutation which satisfies the limitation . The stack technique in the computer science and combinatorial principle are used .

没人比你更了解组合学了。

And no one is better at combinatorics than you .

鸽巢原理是组合学中一个非常重要的原理。

The pigeonhole principle is a important principle in combinatorics .

一类覆盖问题的组合学分析

Combinational Analysis for a Class of Set Covering Problem

讨论了在组合学中引入容斥原理和递推方法的错位排问题的发展；

Analyze the evolution of problem of derangement and the principle of inclusion-exclusion .

以组合学中的求和算子为主要工具来研究幂和问题，用新方法得到了李善兰幂和公式。

In this paper , a new formula is obtained by means of the sum operator .

组合学思想的东方起源

THOUGHT Eastern origination of combinatorics

整数的分拆理论在组合学、图论和贝论里起着重要作用。

The partition theory of integer plays an important role in Combinatorics , Graph theory and the Number theory .

因此，组合学和统计学的工具和方法可以在分析禽流感病毒序列相似性上发挥很大的作用。

So the tools and methods in Combinatorics and Statistics will play important roles in studying the similarity of avian influenza virus sequences .

考察了中世纪数学家对组合学相关内容的研究，主要体现在排列、组合公式的探求，确立算术三角形和构作幻方三个专题。

Those researches are substantially composed by search for the formulae of permutation and combination , the arithmetical triangle and the magic square .

那些古老的富有益智性的数学游戏为组合学早期的发展提供了大量的研究素材。

Mathematical Recreations from Ancient to Modern Times Some mathematical games and recreations acted as an essential role in the development of earlier combinatorics .

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 mathematical content of this course involves some linear algebra , probability theory , algebra , combinatorics and topics from a variety of other fields .

计数组合学是组合数学的重要研究方向之一，主要研究有限集合上的组合结构在给定条件下的计数问题。

Enumerative Combinatorics is one of vitally important research branches in Combinatorics , mainly investigates counting problems of combinatorial settings on finite set under given conditions .

贝努利数及贝努利多项式在许多领域，如数论、组合学、数量分析理论中有许多重要的应用，在过去的两个多世纪中数学家们对此进行了广泛而又深入的研究。

Bernoulli numbers and polynomials have numerous important applications in number theory , combinatorics , and classical numerical analysis . Bernoulli polynomials have been studied extensively over the last two centuries .

在计数组合学中，我们需要群论，环论，代数等理论。

In enumerative combinatorics , we need the theory of group [ 10,29 ] , the theory of ring [ 7,27 ] , the theory of algebra [ 30 ] and so on .

目的：为提高脑AVM伽玛刀治疗剂量设计精度，作者对如何正确选择和组合影像学检查进行了研究。

Purpose : To improve precision of dose planning in treating brain arteriovenous malformations ( AVMs ) with Leksell Gamma Knife , we studied how to select and combine imaging examinations .

组合材料学研究进展

Recent Progresses in the Combinatorial Materials Science

首先简介了组合材料学的基本概念和历史传承，然后重点介绍了组合材料学中的并行合成方法和高通量表征技术，最后展示了一些用组合方法筛选新材料的成功范例。

Firstly , the basic concept and history of combinatorial materials science were introduced . Then , the parallel synthesis methods and high throughput characterization techniques for combinatorial materials library were described in detail .

它赋予孩子们通过把字母组合在一起学新单词的能力。

It empowers the child to learn by putting small pieces together .

语音是解开单词结构的钥匙，它赋予孩子们通过把字母组合在一起学新单词的能力。

Phonics is a code that unlocks word construction . It empowers the child to learn by putting small pieces together .

化学基因组学作为药物发现的新模式，组合了基因组学、蛋白质组学、组合化学及细胞筛选等领域的新技术，加快了新药研发的过程。

Chemical genomics is a new paradigm in which chemistry is utilized early in the development process along with other tools such as genomics , proteomics , combinatorial chemistry and cell-based screening to accelerate the drug development process .

现代篮球组合技术的方法学研究

Methodological studies on contemporary basketball compounding skills

马柯维茨（H.M.Markowitz）的投资组合理论是投资学的经典理论。

Portfolio theory which was proposed by Markowitz is regarded as a classical investment theory .

在方案组合阶段运用运筹学方法对方案组合进行求解分析。

In schemes combination period , method of statistics has been applied in analyzing the combination of schemes .

本土社会工作与专业社会工作的互构演化&1+3组合实践模式的学理阐释

Inter-Constructional Evolution of Local Social Work and Professional Social Work & Theoretical Explanation on " 1 + 3 " Combining Model

现代投资组合理论是金融学研究中的重要课题之一，其目的是寻找到最优投资组合，以达到在预期收益率前提下使投资风险最小化，或者在既定风险下使收益最大化。

As one of the most important research fields in Economics , Modern Portfolio Theory aims for an optimal investment portfolio , which assures minimum investment risk with expected rates of return , or maximum investment return with fixed risk level .