Measure Theory/Monotone Functions Differentiable: Revision history

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27 January 2024

  • curprev 06:1706:17, 27 January 2024 imported>Addemf 11,104 bytes +11,104 New resource with "== Monotone Functions == === Differentiable A.E. === Although a monotonically increasing function might fail to be differentiable at uncountably many points, the next-best thing would be for the set of "failure points" to have measure zero. That is to say, we might instead hope that a monotonically increasing function is differentiable almost everywhere. Indeed this turns out to be true! However, it will require a significant journey to prove that it is true. {{r..."
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