Measure Theory/Devil's Staircase: Revision history

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27 January 2024

  • curprev 06:1806:18, 27 January 2024 imported>Addemf 8,968 bytes +8,968 New resource with "== Counter-Examples == It is at this point that it will be instructive to think about counter-examples to the results that we're hoping to obtain. In particular, we want to find examples of functions, for which <math>\int_{(a,b)}f' = f(b)-f(a)</math> does ''not'' hold. Of course we need the derivative to exist, a.e., in order for this conversation to make any sense. We know that this happens when ''f'' is monotone, or of bounded variation. So is monotonicity, or b..."
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