数学

The Research on application of optimization problem in calculous ;2. In this paper, we mainly discuss how to teach calculous , such as limit of sequence of number, Taylor expansion and Fourier expansion, by using mathematical software.

围绕微积分学习中涉及数列的极限、函数的泰勒展开式和傅立叶展开式等几个基本方面，论述如何利用数学软件mathematica进行辅助教学，达到深刻而形象的理解微积分教学中较为复杂的数学概念及数学现象的目的，从而激发学生学习兴趣，促进微积分学习。

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

On the basis of Gaskell′s calender theories,it was set up that the mathematics model of the symmetrical calender processing of Newtonian fluid and that of non－newto nian fluid which was looked on as pure v iscous power－law fluid.It also included the content of rolls deformation and com pensation complied with mechanical calcu lation.

本研 究主要根据Gaskell理论建立了牛顿流体对称过程的压延流变数学模型、非牛顿流体对称过程的压延流变数学模型；还根据机械计算方法建立了压延辊筒变形的计算及补偿方法的数学模型。

With many years of mathematical teaching and far-sighted investigation into the teaching software used in middle schools, the author finishes a book "practical courses on Geometer"s Sketchpad?

结合数学学科和多年的教改对当前中学数学应用教学软件进行深入的调查、分析，探索、实践，由本人编写了《面向高中生的数学应用教学软件《几何画板》速成实用教程》。

This paper shows the methods of finding the sum of the Geometric Progression for the first n terms and the rule for extracting square root in Llvat , which is a famous mathematical work in the 12~ century Hindu, and compare them with the corresponding traditional Chinese algorithmic methods, in order to show the characteristics of mathematics in the two countries.

以12世纪印度著名数学著作《丽罗娃底》中的等比数列求和与开方为例，与中国传统数学中的相应算法进行比较，以展现中、印数学的算法化特色。

Main creative points of the thesis are as following:1. It is the first time to apply 2-D and 3-D turbulent model of the air-water two phases flow to the study on hydraulic properties of groyne. It makes description of the turbulent flow field to be possible precisely. This offers a more accurate method to determine the water surface in channel improvement.2. Based on the results of experiment and simulation for 3-D turbulent model of air-water two phases flow, a new formula to compute the height of damming is built.3. Based on the 2-D mode and the formula to compute the height of damming, the subdivision method of 2-D computation for water surface at upstream and downstream.

本文的创新工作主要是：首次将三维水气两相流紊流数学模型应用于丁坝水动力学特性研究，使丁坝附近流场和紊动场的精细描述成为可能，为航道整治中水面线确定提供了一个更为准确的方法；(2)基于水槽实验和三维水气两相流紊流数学模型数值模拟结果，建立了新的丁坝前奎水高度计算公式；(3)基于上述奎水高度计算公式和本文二维水面计算数学模型，首次提出了丁坝上下游二维水面分段计算方法。

" "Mathematics is ordinarily considered as producing precise and dependable results; but in the stock market the more elaborate and abstruse the mathematics the more uncertain and speculative are the conclusions we draw there from … Whenever calculus is brought in, or higher algebra, you could take it as a warning that the operator was trying to substitute theory for experience, and usually also to give to speculation the deceptive guise of investment.

格雷厄姆对数学在投资中的作用认为数学一般被认为是能產生精确和可信赖的结果。但是在股票市场，所用的数学越复杂深奥，其从中得出的结果也就越不确定，越具有投机性。一旦引入了微积分或者高等代数，你可以把这看作是一个警告，这意味著使用数学者是在用理论代替经验。通常这给了投机欺骗性的偽装，变得好像是投资一样。

Higher Mathematics in derivative is a very important concept, is to study an important tool for mathematical problem, while derivative areas in mathematics also have a very wide range of use.

论文摘要翻译，谢谢摘要：导数在高等数学中是一个很重要的概念，是研究数学问题的重要工具，同时导数在数学领域外也有着非常广泛的运用。

Inequality proof of higher mathematics is a common problem, but also a mathematical problem solving mathematical analysis of the other.

不等式的证明是高等数学中一个常见的问题，而且也是数学分析解决其它数学问题的基础。

You can stitch all sorts of mathematical theorems onto these surfaces. The discovery of hyperbolic space ushered in the field of mathematics that is called non-Euclidean geometry.

在这表面上，你可以编织所有种类的数学定理；这双曲空间的发现开创了数学领域，就是所谓的非欧几里德几何；这实际上属於数学领域中广义相对论的基础。

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。