数学分析

Mathematics mechanization; Symbolic computation; Exact solution; Auxiliary equation method; Soliton

基础科学，数学，数学分析数学机械化；符号计算；精确解；辅助方程法；孤立子

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。

Composite function is one of the important objects of mathematical analysis research,and some of it's analysis natures such as monotony, boundedness, limit,continuity, derivability,integrability are important content in the mathematical analysis,they are also important tool to study other objects in mathematics.

复合函数是数学分析研究的重要对象之一，它的一些分析性质（如单调性，有界性，极限，连续性，可导，可积性）是数学分析中的重要内容，也是研究数学中其它对象的重要工具。

Furthermore,we obtain a sufficient and necessary condition about continuity of functional series and integral with parameter,and show the sufficient condition about differential .

将数学分析中一致收敛性的概念加以推广，分别对函数项级数和含参量积分引入次一致收敛的概念，证明了函数项级数、含参量非正常积分连续性的充要条件和可微性的充分条件，推广了数学分析中的相应结

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。

But , when we changeour trainofthought , we can find that sometimes using mathematical Analysis is a better solution to the linear algebraic problems.In thispaper, use the propertyofcontinuous function andimproper integralof infinite interval and to solve some matrix and quadratic form problems.Algebraic ideas andmethodstosolvemathematical analysisproblems are indicated by several specific examples. Close contactof differentmathematical analysis fields is shown.

该文探讨运用数学分析的有关知识（如：函数连续性、无穷区间的广义积分）和方法解决高等代数中的某些复杂、繁琐的问题；通过具体的实例，阐述高等代数的思想和方法在解决数学分析问题中的作用，揭示不同的数学领域之间的密切联系，例如：二次型与正交变换是代数学的基本内容，其用途十分广泛，而重积分的计算往往存在技术性的困难，若利用"二次型"与"正交变换"的有关理论去解决某些重积分的计算问题是颇有功效的。

This course mainly contents real number muster and function, limit of number sequence, limit of function, continuity, derived number and differential, differential mean value theorem and its application, completeness of real number, integral, series(including positive series and Fourier series), multiple- differential, double integral, integral with parameter, curve integral, camber integral and so on.

理解和掌握《数学分析》的概念、理论和方法，对于学生加深理解数学的基本思想和方法，培养抽象思维能力和逻辑思维能力，提高数学素养具有重要的意义。主要内容包括：实数集和函数，数列极限，函数极限，连续性，导数和微分，微分中值定理及其应用，实数完备性，积分、级数(包括幂级数、Fourier级数)、多元微分学、重积分、含参变量积分、曲线积分、曲面积分等。

Minimal energy principle and finite element method were employed in modeling the solder joint shapes of Plastic Ball Grid Array device.

以无引脚表面组装元器件二维焊点问题为例，用两种不同的建模方法对其建立数学模型并进行分析比较，指出用基于最小能量原理的有限元数值分析求解表面组装焊点形态问题的方法优于一般数学分析方法。

Finally, we discuss the encoding methods of mathematical analysis in NL and also in PVS, which is the starting point of mechanical supporting of mathematical analysis in hybrid systems.

最后我们讨论了数学分析在邻域逻辑和PVS中的编码，这是对混合系统数学分析提供机械支持的基石。

The theory of ordinary differential equations is one of the important branches of mathematical science.

常微分方程是数学科学的一个重要分支，也是数学理论联系实际的重要途径之一，是数学分析课的基本理论和方法的深化和延伸。

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。