Function of Bounded Variation

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We introduce the idea of functions of bounded variation. We prove that monotone functions and Lipschitz functions are functions of bounded variation.

#mikedabkowski, #mikethemathematician, #profdabkowski, #realanalysis
  1. Mike, the Mathematician
  2. bounded variation
  3. Lipschitz function
  4. Lipschitz functions have bounded variation
  5. monotone functions have bounded variation
  6. mike the mathematician
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This channel is truly a hidden gem. I wish you're getting paid more for this, prof!

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Hello Sir...What is the total variation of the function {x} on [0, 4]? {x} is fractional part function

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