实变函数

讨论实变函数论课程的主题情境分析问题.包括：Lebesgue测度与积分理论产生以及展开的问题线索、主要想法、主要技术处理手段、整体结构等问题。

This article is dealing with the problem of the subject context analyzing for Real Variable Function Theory , including Lebesgue measure , integral theory , the developing clue of the problem , the main idea , the main methods of skill , the whole construction , etc .

比较分析法在实变函数教学中的应用

The Applications of Comparative Analysis to the Teaching of Real Variable Function

D（x）函数在实变函数中的应用

The application of function D ( x ) to the real variable function

使用Riemann和给出了实变函数Lebesgue可积的判别准则。

A variable real functional Lebesgue integrable criterion was given with Riemann 's sum in the present .

实变函数Lebesgue可积的判别准则多以测度、导数方法给出。

The criteria for Lebesgue integrability have always been given by methods of measure and derivative .

实变函数中有几个克服了黎曼积分的缺陷的积分极限定理：控制收敛定理、Levi引理、Fatou引理。

Real variable function theory is composed of three integral limitation theorems including Control Convergence theorem , Levi Lemma , Fatou Lemma .

应用复变函数积分的最陡下降法，在弱耦合区将单链配分函数SU（3）群积分表示成一元实变函数的定积分，可以用数值计算方法很方便地求值。

A definite integral expression of the SU ( 3 ) One-link partition function invariant group integral in the weak coupling regions of lattice gauge theories is obtained by the steepest descent method . The integral can be numerically eval - uated easily .

对实变函数中的几个积分极限定理进行了研究，证明了控制收敛定理、Levi引理和Fatou引理是相互等价的推断。

Three integral limit theorems , I e. , Control Convergence theorem , Levi Lemma and Fatou Lemma in real variable functions are studied and proved , which concludes that the three are equivalent actually .

发掘实变函数论课程中的创造性因素

Excavate the Creative Factors in the Theory of Real Variable Functions

实变函数主题情境分析

The Analysis of Subject Context for Real Variable Function Theory

浅议实变函数与数学分析间的联系

A Discussion on Relations Between Function of Real Variable and Mathematical Analysis

关于在实变函数中运用代数运算的探索

On the Use of Algebraic Operation in Real Variable Function

在实变函数课中实施启发式教学的实践与思考

Practice and Thinking on the Heuristic Method of Teaching in Real Variable Function

在《实变函数和泛函分析》教学中培养学生的创新能力

Improving the Innovative Ability in the Teaching of Real Function and Functional Analysis

实变函数中的一些典型证明方法

Some Typical Methods in the Theory of Real Functions

实变函数论是现代分析必不可少的理论基础。

Functions of real variable is an essential basic theory in modern analysis .

《实变函数》课程教学方法的改革初探

Primary Study on the Reform of Teaching Method of the Course Real Function

实变函数教学改革研究

Research on the Reform of Real Variable Function Teaching

改进实变函数教学的一些方法

The Methods of Improving the Teaching of Real Analysis

关于《实变函数》课程建设的实践与思考

On Practice and Pondering of Course ′ s Struction for Real Variable Function

实变函数论课程教学改革的探索与实践

Some Ideas on Educational Reform in the Course of Real Variable Function Theory

实变函数课程教改实践与思考

Improving the Teaching of Functions of Real Variables

浸透在实变函数论中的主要数学思想方法

Main Mathematical Thought and Method in Real Analysis

在实变函数中，可测集的定义有两种。

There are two kinds of definition of the measurable set in Real Variable Function .

关于实变函数论的两个问题

Two Problems Concerning Solid Variable Function

用实变函数理论可以透视数学分析。

ⅱ . Mathematical Analysis can be studied through the theory of Function of Real Variable .

实变函数与泛函分析

Real Variable Function & Functional Analysis

在《实变函数》课程教学中培养学生科研能力的体会

Some Notes on Developing Students ′ Ability to Make Scientific Research in Teaching of Real Variable Function

本文探讨了当今教育改革的进展现状中存在的问题，就实变函数论的定位讨论其课程建设改革中的一些问题。

This paper discusses some questions of educational reform at present and some questions of course construction .

同时，对实变函数论课程教学内容改革相关的问题作了探讨。

Meanwhile , they discuss some relative problems of reform about teaching contests in the course of Real Analysis .