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Riemann integral [数]黎曼积分

• It is difficult for learner to understand the concept of Riemann integral which is defined by using the limit of Riemann sum.

积分极限定义黎曼积分对于初学者来说一个很难理解概念

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• After constrcting the perfective space prove that this space is just the space of lebes gue integratiable function thus explain that lebes gue integral is the form of the perfective riemann integral.

构造了完备化空间之后，证明空间就是贝格可积函数空间，从而说明黎曼积分完备化形式勒贝格积分。

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• This paper sums up the common character of the concept of many integrals, abstracts the concept of Riemann integral and gives the integral conditions of the Riemann integral.

分析诸多积分概念共性抽象出黎曼积分的定义，给出了黎曼可积条件

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• In this paper we give some simpler definitions of definite integral, and show that they are all equivalent to the definition of Riemann integral.

本文给出积分几个较简单定义证明这些定义均与黎曼积分定义等价

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• Based on Darboux theory, this paper discussed the integrability of the Riemann Integral and provides a necessary and sufficient condition for integrability.

文章利用达布理论讨论黎曼积分可积性问题，给出了一个可积的充分必要条件。

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• Based on Darboux theory, this paper discussed the integrability of the Riemann Integral and provides a necessary and sufficient condition for integrability.

文章利用达布理论讨论黎曼积分可积性问题，给出了一个可积的充分必要条件。

www.dictall.com

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