向量代数

Advanced mathematics is one of the most important foundation lessons in each univercity, its content of course includes the calculus,the space analytic geometry and the vector algebra step,etc..

摘 要：高等数学是各大高校最重要的基础课之一，其教学内容包含微积分、空间解析几何与向量代数初步、场论初步等等。

Introduction, Reviews and Concepts of Functions, Differentiation, Vector Algebra, Vector differetiation, Vector Integral, Orthogonal Curvilinear Coordinates.

课程介绍及授课计划、函数观念及复习、微分、向量代数、向量微分、矢量积分、正交曲线坐标、微分方程式。

This curriculum primary coverage includes: Function and limit, a circular function derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral, definite integral application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral, curvilinear integral and surface integral, infinite series, differential equation.

该课程的主要内容有：函数与极限，一元函数的导数与微分，中值定理与导数的应用，不定积分，定积分，定积分的应用，空间解析几何和向量代数，多元函数微分法及其应用，重积分，曲线积分与曲面积分，无穷级数，微分方程。

Applying the vector representation of formula for definite proportional division point in vector algebra,this paper obtains a new useful method of compunction for segment ratio in volume ratio .

利用向量代数中定比分点公式的向量形式，给出了一种非常简明有用的求容积比中线段比的新方法。

The higher mathematics curriculum is a college engineering course undergraduate course each specialized student's compulsory important basic theory class, through this curriculum study, causes the student to obtain: Circular function calculus study, the space analytic geometry and the vector algebra, the function of many variables calculus study, the infinite series, aspect and so on ordinary differential equation basic concepts, the elementary theory and the fundamental operation skill, and further obtain mathematics knowledge for the study successor curriculum to lay the essential mathematics foundation,During instruction knowledge, must train the student through each teaching link to have the abstract thinking ability, logic reasoning ability, spatial imagination ability gradually and studies independently ability, but also must pay attention specially trains the student to have the quite skilled operational capability and the synthesis utilization studies the knowledge to analyze the question and to solve the question ability.

高等数学课程是高等学校工科本科各专业学生的一门必修的重要基础理论课，通过本课程的学习，使学生获得：一元函数微积分学，空间解析几何与向量代数，多元函数微积分学，无穷级数，常微分方程等方面的基本概念、基本理论和基本运算技能，为学习后继课程和进一步获得数学知识奠定必要的数学基础，在传授知识的同时，要通过各个教学环节逐步培养学生具有抽象思维能力、逻辑推理能力、空间想象能力和自学能力，还要特别注意培养学生具有比较熟练的运算能力和综合运用所学知识去分析问题和解决问题的能力。主要是其中的一些专有名词查不到，比如一元函数等

A calculating method for finding the induced geodesic torsion was developed by using differential geometry and other mathematics tools.

为了分析线接触共轭齿面的诱导短程挠率，并清楚地诠释有关公式及计算推导的过程，运用微分几何、向量代数、线性代数等数学工具，寻找了一种计算诱导短程挠率的方法。

System is used VB6.0, MATLAB6.5 and MATLAB and Visual Basic OLE interface methods of production, use VB Visual Interface, the real object-oriented, event-driven approach using the structure of high-level programming language, the perfect tool Integrated production and friendly interface and features of MATLAB numerical terms, such as a strong graphic image processing function for the core to achieve the limit, derivative, differential, integral and indefinite integral, vector algebra and analytic geometry of space for the function will be Two aspects of the unique advantages of combining the strong points, to shorten the development cycle and reduce programming difficulty, the current rapidly changing information age is of high practical value.

在线等汉-英翻译，网上在线翻译的别回！！！！！系统是采用VB6.0、MATLAB6.5 和MATLAB与Visual Basic接口OLE方法制作的，利用VB界面的可视化、真正面向对象、采用事件驱动方式的结构化高级程序设计语言、工具的完美集成和友好性特点制作界面和MATLAB的数值计算、图形图像等强大的处理功能为内核来实现函数极限、导数、微分、定积分和不定积分、空间解析几何和向量代数的求解功能；将两方面具有的独特优势结合起来，取长补短，以缩短开发周期，降低编程难度，这对当前日新月异的信息时代是具有很高的实用价值。

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

The article applies the multivector algebra which is isomorphism with the real Dirac algebra in the real space-time adopted by Venzo de Sabbata to the contact number of set pair analysis, and consequently, t...

试图将VenzodeSabbata教授所采用的与Dirac代数同构的实时空中的多重向量代数应用于集对分析中的联系数，从而相应地推广了联系数的范畴。

By learning this course, students should proficiently use algebraic methods to solve geometric problems and practical problems, and proficiently grasp the basic ideas and methods of vector algebra and geometric properties of spatial line, plane and quadratic surface.

通过本课程的学习使学生熟练掌握运用代数方法解决几何问题并应用于实际问题之中，并熟练掌握向量代数的基本思想和方法，同时使学生熟练掌握空间的直线、平面和二次曲面及其各种几何性质。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。