Regulated integral | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-05-06

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Regulated_integral


00:00:20 1 Definition
00:00:29 1.1 Definition on step functions
00:01:45 1.2 Extension to regulated functions
00:03:52 2 Properties of the regulated integral
00:06:33 3 Extension to functions defined on the whole real line
00:07:31 4 Extension to vector-valued functions
00:07:51 5 See also



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SUMMARY
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In mathematics, the regulated integral is a definition of integration for regulated functions, which are defined to be uniform limits of step functions.  The use of the regulated integral instead of the Riemann integral has been advocated by Nicolas Bourbaki and Jean Dieudonné.