integrability in the sense of riemann
- integrability in the sense of riemann的基本解释
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黎曼可积性
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This paper discusses the integrability of Riemann integral systematically: By analyzing the common characters of a lot of integral calculus, it abstracts the concept of Riemann integral and discusses its integrability of Riemann integral and then gets integrable functions.
摘要本文较为系统地讨论了积分的可积性:通过分析诸多积分概念的共性,抽象定义了积分并详细讨论了其可积性,得出了可积函数类。
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This paper discusses the integrability of Riemann's integral theory systematically: By analyzing the common characters of a lot of integral calculus, it abstracts the concept of Riemann integral and discusses its integrability of Riemann's integral theory and then gets integrable functions.
摘要本文较为系统地讨论了积分可积性理论:通过分析诸多积分概念的共性,抽象定义了积分,详细讨论了其可积性理论,得出了可积函数类。
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By getting Lebesgue characteristic of integrable function of Riemann from the definition of Gather zero measure, discussing the relation between almost continuous everywhere and existent of limit, it gets the theory which is from the function integrability to the consecution and from consecution to the limit existence .i.e. the almost limit existence is equal to the almost continuous everywhere in the integrable function of Riemann. It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.
通过定义零测度集给出了可积函数的特征,讨论了其几乎处处连续与极限存在的关系,从而得到了从函数可积性到连续性,从连续性到极限存在性的函数特性理论,即可积函数中极限的几乎处处存在与几乎处处连续是等价的,得出比正规函数更加宽泛的统一条件,得出了有界变差函数是可积函数的结论。
- 更多网络解释 与integrability in the sense of riemann相关的网络解释 [注:此内容来源于网络,仅供参考]
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integrability in the sense of riemann:黎曼可积性
integrability conditions 可积条件 | integrability in the sense of riemann 黎曼可积性 | integrable 可积的