应用数学

Applied Mathematics and the history of mathematics can be said that as long.

数学应用和数学的历史可说一样长。

Caculation of principle error of involute profile processed by Archimedean hobbing cutter ;2. The equation of single hobbing cutter 's locomotion locus and the mathematical model of its instantaneous cutting area are established.

建立了单把滚刀旋切运动的轨迹方程和瞬时切削面积的数学模型，在此基础上对旋切面积的数学模型进行分析及简化，为旋切技术的实际应用提供了有力的依据。

Auxiliary function is an important method of solving problems and used widely in mathematical analysis.

辅助函数构造法是数学分析中一个重要的思想方法，在数学分析中具有广泛的应用。

Based on intensive investigation of original sources and research literatures on the subject in consideration,and under the paradigm why mathematics was done in the history of mathematics,the dissertation studies systematically the origin and invention of the calculus of variations by means of source analysis and comparative argumentation.

变分法是研究泛函极值的数学分支，它不仅与数学中众多分支联系紧密，而且也为物理学提供了重要的原理，同时又有着十分广泛的应用，凶此，对其历史进行研究，具有极为重要的理论价值和现实意义。

Shengyubeifenfa;Chinese Remainder Theorem;Euclidean algorithm;Congruence group;Binary Diophantine equation Full Text - Paper in Chinese

我相信，本文的方法不仅在数论，而且在其它数学学科，如：计算机算法、组合数学等方面会得到应用。

This article takes the teaching of conic sections as an example. By designing worksheets, teachers can introduce the historical material about conic sections to students. By way of using Apollonius' definition of parabola, ellipse and hyperbola, teachers can introduce the geometric aspect of "conic section" to students. By using the concept of " latus rectum " in Conics , we can connect "conic sections"-- representation of geometrical aspect, with "the equation of conic sections"-- representation of algebraic aspect to improving insufficiency of text books.

同时本文也试著从历史文本中寻找材料，简单举例说明数学教师可以如何应用这些史料在几何单元教学上，例如三角函数的正余弦定理，最后再以圆锥曲线的正焦弦为例，说明如何利用数学史料於此单元的教学，尤其是阿波罗尼斯的《锥线论》中对圆锥曲线的3个命题，将此3个命题的内容与意涵，尤其是正焦弦在圆锥曲线的几何意义上所扮演的角色，将其适当地融入教学中，将可使学生真正学习圆锥曲线的几何知识，而不再只是代数形式的几何知识。

The paper uses precise step to produce the continuity function of water hammer mathematic model, not only gains more precise water hammer pressure function and water hammer wave speed functionbut also founds correct water hammer mathematic modelContinuity EquationMovement EquationAfter ignoring subordinate facts, function (1) and (2) translate into the current applied water hammer pressure function and water hammer wave speed function.

本论文对水击数学模型中的连续性方程重新进行了严谨的推导，不仅得到了更加准确的水击压强和水击波速的计算公式也建立了正确的水击数学模型连续性方程运动方程当忽略次要因素以后，公式(1)和(2)即可转化为当前应用的水击压强计算公式和水击波速计算公式。

Based on detailed mathematical model of the heat and mass transfer processes in packed-type counterflow liquid desiccant systems, a set of linear ordinary differential equations describing the transfer processes is obtained by some appropriate simplications.

在建立逆流填料式液体除湿系统传热传质过程的数学模型基础上，通过合理的简化处理，导出了描述这一热质传递过程的常微分方程组，得到了相应的解析解；并与精确数学模型的数值解进行了对比，二者具有良好的吻合性；利用解析解分析了各参数对除湿性能的影响；所得解析解具有较好的理论及应用价

Understand the topics of finite mathematics, including Linear Models, linear Progeamming, Matrix Applications, Basics Probability Concepts, and Mathematics of Finance.

了解管理数学的相关课题，例如：线性模式、线性规划、矩阵应用、基础机率概念，以及财务数学等。

And a model of layer—disperising dual medium is established (2) Some new theories and methods, such as Fourier dual integral transformation and half numeral value analytic method and so on, are used to establish the calculating formula in this paper.

2本文在理论推导上，应用了数学、力学和数学物理方程方面的新理论和新方法，如：二重富里叶积分变换、板壳理论、分离变量法以及半解析数值方法等，使本论文在理论推导过程上，增加了理论的严密性和逻辑性。

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。