数学

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。

Based on the application of elementary function, this article discusses the key points on setting up the mode in mathematics teaching and learning, several problems that should be paid to more attention, and how to use it in mathematics classroom teaching.

摘要通过对初等函数的应用进行了数学建模教学尝试，并对数学建模教学的关键以及数学建模教学应注意的几个问题等方面阐述了如何进行数学建模的课堂教学。

The mathematics teachers in high schools are not only the guarantee of the smooth implement of mathematics course standard but also an executant of the foundation course reform .But a big margin exists between the roles of the mathematics teachers in high schools of the course system and the expectation of the new course. So it is very necessary to relocate the role of the mathematics teachers in the new course.

而中学数学教师不仅是数学课程标准顺利实施的保障者，同时又是基础教育改革的实践者，但是现行课程体系下中学数学教师的角色形象与新课程的期望之间存在着较大的差距，因此重新定位中学数学教师在新课程中的角色是非常必要的。

the mathematics experiment is: be to gain some kind of mathematics theory , conjecture checking some's mathematicses , to resolve some kind problems, the experimentalist applies certain matter means to, mathematics thinking activities participation, exploration , research flexible being in progress under the environment in specially appointed experiment.

数学实验为：为获得某种数学理论，检验某个数学猜想，解决某类问题，实验者运用一定的物质手段，在数学思维活动的参与下，在特定的实验环境下进行的探索、研究活动。

A student of mathematics must become familiar with and fix in mind the signs and symbols, the definitions and technical terms in mathematics, in order that he may be able to have the foundation of the mathematical subject and master it well for further study.

为了能打下数学基础，掌握好数学，以便进一步学习深造，一个学数学的人必须熟悉并牢记数学中所用的记号和符号，定义和术语。

Professor Chen Xingshen achievements in order to affirm and encourage the development of our young mathematicians to contribute to the cause of China's Mathematical What he has in-depth introduction to the mathematics outside the field of theoretical physics to become an important tool G introduced geometric structure of the equivalent problem, a 20th century one of the major developments of mathematics, Integral geometry for the generalized basis, access to basic kinematics formulas.

为了肯定陈省身教授的功绩，激励我国中青年数学工作者对发展我国的数学事业做出贡献他引入的东西已深入到数学之外的领域，成为理论物理的重要工具，引进了G 几何的结构，研究其等价问题，成为20世纪后数学的主要发展之一，为广义的积分几何奠定基础，获得基本运动学公式。

For multi-layer fabric, Kronecker product and yarn grouping of different layers according to the arrangement ratio are combined together to explore the mathematical model of weaves automatic generation. The qualifications of forming the multi-layer weaves are also discussed.

对单系统织物组织类别，首先根据数学描绘的需要进行了重新划分，分为规则组织、准规则组织和非规则组织，接着分别建立了各种类别组织的数学模型，并对组织自动生成的参数和组织构成条件进行了归纳和总结；对于多系统组织的重组织和层组织，结合不同系统纱线按排列比的分组法和矩阵的Kronecker叉积运算建立了组织结构矩阵自动生成的数学模型，并对多系统组织构成条件的数学模型进行了分析。

For single-layer fabric, weaves are re-grouped for the purpose of mathematical description, and they fall into three groups: regular weaves, pre-regular weaves and irregular weaves. And then the mathematical models of every group are established, the parameters and the qualifications of weaves automatic generation are offered too. For multi-layer fabric, Kronecker product and yarn grouping of different layers according to the arrangement ratio are combined together to explore the mathematical model of weaves automatic generation. The qualifications of forming the multi-layer weaves are also discussed.

对单系统织物组织类别，首先根据数学描绘的需要进行了重新划分，分为规则组织、准规则组织和非规则组织，接着分别建立了各种类别组织的数学模型，并对组织自动生成的参数和组织构成条件进行了归纳和总结；对于多系统组织的重组织和层组织，结合不同系统纱线按排列比的分组法和矩阵的Kronecker叉积运算建立了组织结构矩阵自动生成的数学模型，并对多系统组织构成条件的数学模型进行了分析。

In this paper, the Lagrange interpolation formula asked a class function expression question, the determination function to the higher mathematics in the elementary mathematics in some value scope question, the equality proof question, the multinomial factorisation question, to ask to have the Finite series to pass the formula question, the certificate any n function at will n+1 different spots function value maximum value minimal problem and so on six aspects should serve as the simple introduction, and has separately made the comparison with these six aspects elementary mathematics method, thus solved some operation problems in elementary mathematics.

摘要本文对高等数学中Lagrange插值公式在初等数学中的求一类函数表达式问题、确定函数在某点的取值范围问题、恒等式的证明问题、多项式的因式分解问题、求有穷数列的通项公式问题、证明任一n次函数的随意的n+1个两两不同点的函数值的最大值的最小值问题等六个方面的应用作了简单介绍，并与这六个方面的初等数学方法分别作了比较，从而解决一些初等数学中的运算问题。

Based on contraction mapping theorem of analysis mathematics, the non-steady flow mathematical model of mine ventilation network was analyzed.

利用分析数学的压缩映射原理，对矿井通风网络非稳定流动数学模型进行了分析，得出了数学模型数值解收敛的条件，确定了以惯性系数排序选择最小生成树的回路选择方案，为矿井通风网络非稳定流动数学模型数值解的收敛性提供了理论依据。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。