查询词典 discrete mathematics

The new mathematics curriculum yells mathematics teachers change traditional teachers" roles to nowadays teachers" roles. By analyzing the abuse of the traditional teachers roles and the requests about mathematics teachers which the new mathematics curriculum puts forward, we discover that from the lay of curriculum , mathematics teachers should actualize three facets changes as follows:from the single initiators of mathematics knowledge to the promoters of mathematics diathesis;(2)from the loyal executors of mathematics textbook to the devisers of mathematics instruction;(3)from the indoctrinators of mathematics knowledge to the organizers, guiders and participators of mathematics activity .

数学新课程呼唤数学教师由传统的教师角色向现代教师角色转变，通过分析传统数学教师角色的弊端及新课程对数学教师提出的要求，发现从课堂层面讲，数学教师角色主要要实现以下3方面的转变：(1)由单一的数学知识传授者向数学素质的促进者转变；(2)由教科书的忠实执行者向数学教学的设计者转变；(3)由数学知识的灌输者向数学活动的组织者、引导者和合作者转变。

The study shows that generally the mathematics view of normal university students majoring in mathematics is right, they depict mathematics learning as a dynamical process. Besides some special traits belong to mathematics, estimation, measurement and decision making themselves are also in the math field; however there are still some people warp the mathematics view, believe that mathematics is an apodeictic collection. Haven't realized the power that mathematics can improve people's taste ability and perfect people's personality, they believe that math learning is a passive process during which students receive acknowledge. What is more, there are different believes existing in the understanding of mathematics essence, mathematics value and mathematics learning. These believes vary with different university students from different grades and genders.

研究数据表明，高等师范院校数学系大学生的数学观总体上来说还是比较正确的，认为数学学习是一个动态的过程，认为数学在社会生活当中有一定的作用，并且认为做数学除了有特定的内容以外，估算、测量及决定本身也为做数学；但仍有一小部分人的数学观还存在着偏差，认为数学是一堆绝对真理的总集，对数学能够培养人的审美能力以及数学能完善人的个性等较高层次的价值没有意识到，认为数学问题仅是与教材内容相关的习题和考试中的试题，并且对数学学习不感兴趣，认为数学学习是学生被动接受知识的过程，并且不同年级以及不同性别的大学生在对数学本质、数学价值以及数学学习的认识上都存在着差异。

Discrete calculus , discrete probability distribution s, discrete Fourier transform s, discrete geometry , discrete logarithm s, discrete differential geometry , discrete exterior calculus , discrete Morse theory , difference equation s, and discrete dynamical system s.

在应用数学中，离散模型连续模型的离散近似。在离散模型中，离散方程are fit to 数据。使用递推关系是这种建模方式的一般方法。时标微积分是差分方程理论与微分方程理论的统一，应用在需要建立离散和连续同步数据模型的领域。

The study shows that generally the mathematics view of normal university studentsmajoring in mathematics is right, they depict mathematics learning as a dynamical process.Besides some special traits belong to mathematics, estimation, measurement and decisionmaking themselves are also in the math field;however there are still some people warp themathematics view, believe that mathematics is an apodeictic collection. Haven\'t realized thepower that mathematics can improve people\'s taste ability and perfect people\'s personality,they believe that math learning is a passive process during which students receiveacknowledge. What is more, there are different believes existing in the understanding ofmathematics essence, mathematics value and mathematics learning.

研究数据表明，高等师范院校数学系大学生的数学观总体上来说还是比较正确的，认为数学学习是一个动态的过程，认为数学在社会生活当中有一定的作用，并且认为做数学除了有特定的内容以外，估算、测量及决定本身也为做数学；但仍有一小部分人的数学观还存在着(来源：Ad4BC论文网www.abclunwen.com)偏差，认为数学是一堆绝对真理的总集，对数学能够培养人的审美能力以及数学能完善人的个性等较高层次的价值没有意识到，认为数学问题仅是与教材内容相关的习题和考试中的试题，并且对数学学习不感兴趣，认为数学学习是学生被动接受知识的过程，并且不同年级以及不同性别的大学生在对数学本质、数学价值以及数学学习的认识上都存在着差异。

The study shows that generally the mathematics view of normal university studentsmajoring in mathematics is right, they depict mathematics learning as a dynamical process.Besides some special traits belong to mathematics, estimation, measurement and decisionmaking themselves are also in the math field;however there are still some people warp themathematics view, believe that mathematics is an apodeictic collection. Haven"t realized thepower that mathematics can improve people"s taste ability and perfect peoples personality,they believe that math learning is a passive process during which students receiveacknowledge. What is more, there are different believes existing in the understanding ofmathematics essence, mathematics value and mathematics learning. These believes vary withdifferent university students from different grades and genders.

研究数据表明，高等师范院校数学系大学生的数学观总体上来说还是比较正确的，认为数学学习是一个动态的过程，认为数学在社会生活当中有一定的作用，并且认为做数学除了有特定的内容以外，估算、测量及决定本身也为做数学；但仍有一小部分人的数学观还存在着偏差，认为数学是一堆绝对真理的总集，对数学能够培养人的审美能力以及数学能完善人的个性等较高层次的价值没有意识到，认为数学问题仅是与教材内容相关的习题和考试中的试题，并且对数学学习不感兴趣，认为数学学习是学生被动接受知识的过程，并且不同年级以及不同性别的大学生在对数学本质、数学价值以及数学学习的认识上都存在着差异。

The new curriculum emphasizes mathematics and the real life relation, but also proposed specially mathematics teaching is mathematics activity teaching, is also lets the student career mathematization process the activity, lets the student embark from own mathematics reality, catches mathematics question with mathematics judgment in the life, utilizes mathematics knowledge analysis life phenomenon on own initiative, thus solves the actual problem which independently in the life meets.

新课程强调数学与现实生活的联系，还特别提出了数学教学是数学活动的教学，也就是让学生经历数学化过程的活动，让学生从自己的数学现实出发，用数学的眼光在生活中捕捉数学问题，主动地运用数学知识分析生活现象，从而自主地解决生活中所遇到的实际问题。

Moreover the thesis analyse specificness of the new system in details:The process of Mathematics learning strategies.The colony of Mathematics learning strategies.The activities of Mathematics learning strategies.The individuality of Mathematics learning strategies.The modernnization of Mathematics learning strategies.The new system of mathematics learning cant apart from the firm theory foundation.

本文在对《标准》的总体目标及学习目标进行分析的基础上，构建了《标准》指导下的新的数学学习策略的体系，并分析了新的数学学习策略所呈现出的新的特点：——数学学习策略的过程性；——数学学习策略的群体性；——数学学习策略的活动性；——数学学习策略的个体性；——数学学习策略的现代化；构建新的数学学习策略体系离不开坚实的理论基础。

Thirdly, on the base of the existent error estimate of elliptical Galerkin projection operator, obtain semi-discrete and complete-discrete error estimates betwent EFG solution and exact solution of parabolic partial differential equation. Semi-discrete error estimate show that the rank of r is accordance with the approximation rank of subspace S_h. Complete-discrete error estimates show that it not only have relation with radius r of domain of influence, but also have relation with the step length of time variable and the way of discrete.Lastly, give typical examples and draw up procedures of MATLAB.

再次，在"椭圆Galerkin投影"算子的误差估计的基础上，对用EFG法解抛物型偏微分方程的EFG解与精确解之间作了半离散和全离散的误差估计，半离散的误差估计表明所给出的误差界限关于r的阶是与子空间S_h的逼近阶相一致的，全离散的误差估计表明所产生的误差不但与影响域半径r有关，而且与离散时间变量的步长τ及其离散方式有关。

Using the mathematical tool"DifferenceGeometry",it is possible to define the discrete geometric metrics such as discretefirst fundamental form,discrete second fundamental form,discrete unit mainnormal vector,discrete Gauss curvature,discrete mean curvature and discreteLaplacian.

首先，运用"差分几何"这一工具，可以构造离散第一、第二基本形式，离散单位主法向，离散高斯曲率，离散中曲率等离散几何量和离散Laplace算子。

In this pater, to study how mathematics curriculum in the history of mathematics education on the use of value and how the history of mathematics and mathematics teaching materials for integration, and finally the history of mathematics in the curriculum to be implemented in the value of a number of problems and confusion.

本文主要研究如何在数学课程教育中阐述数学史的运用价值以及如何将数学史与数学教材进行整合，最后对数学史在课程中的价值得以实施提出了一些问题和困惑。

After oxidation, pH value of the surface of carbon black has a specific relation with the volatile content.

氧化后炭黑表面的pH值与挥发分之间有一定的关系。

Knowing that such a person is warped and sinful; he is self-condemned.

因为知道这等人已经背道，犯了罪，自己明知不是，还是去做。