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.
研讨了如何在实变函数教学中实施启发式教学的问题。
This paper discusses how to use the heuristic method of teaching in real variable function.
该文讲述在高师数学专业上好实变函数课的心得和体会。
In This paper, we express the experience on how to instruct well the cause of real function in mathematics major at teachers college.
勒贝格可测集和疏朗完备集是两类重要集合，是实变函数中的重要内容。
Lebesgue measurable set and the complete and nowhere dense set are two kinds of important set and are the important content in the real variable function.
主要讨论了《实变函数论》中定理：“可数个可数集之并是可数集”的多种证明。
This paper give the proofs of the Keal Function "a theorem that sum aggregate enumerable set is countable aggregate".
它需要用到矩阵理论的知识以及一些即使不是全部的，至少也是相当成熟的处理实变函数的知识。
It assumes a knowledge of matrix theory and, if not a thorough knowledge of, at least a certain maturing in the handling of functions of real variables.
数学课程的主题情境分析可以给学习者导引出一个整体思路及框架，有利于实变函数论课程的教学与学习。
The analysis of subject context in the mathematics course gives the learners a complete thinking and frame, which is good for the teaching and studying of Real Variable Function Theoty.
对实变函数中某些重要的定义和结论运用代数运算的方法作统一处理，从而为电子计算机在该领域的应用作一探索。
This paper intends to expound some important definitions and conclusions in real variable function by using algebraic operation, thus making a new approach to the use of computers in this field.
从教学管理和内容处理等方面阐述作为分析学课群主要组成的实变函数论与泛函分析课程的建设，以建设课程群的思路对课程进行全面、综合、深入的建设，提高课程建设质量和效益。
It puts forward a new concept to comprehensively and deeply build curricula group in the meantime when to build a course, so as to promote the quality and benefit of curricula construction.
留数是复变函数中的一个极其重要的概念，其应用也非常广泛，本文证明了实系数有理分式函数的共轭复极点的留数也互成共轭。
This paper proves that residues at conjugate complex poles of rational fractional function with real coefficients are conjugate complex Numbers as well.
留数是复变函数中的一个极其重要的概念，其应用也非常广泛，本文证明了实系数有理分式函数的共轭复极点的留数也互成共轭。
This paper proves that residues at conjugate complex poles of rational fractional function with real coefficients are conjugate complex Numbers as well.
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