Timeline for Monotone differentiable function whose derivative is discontinuous on a full measure set
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Feb 4, 2021 at 22:22 | history | edited | Nate River | CC BY-SA 4.0 |
made real numbers look cool
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| Feb 4, 2021 at 21:44 | vote | accept | Nate River | ||
| Feb 4, 2021 at 17:28 | comment | added | Dirk Werner | @willie: I guess you want to say, ``and its derivative is discontinuous on a set of positive measure''. | |
| Feb 4, 2021 at 17:05 | answer | added | Pietro Majer | timeline score: 3 | |
| Feb 4, 2021 at 16:48 | comment | added | Willie Wong | Volterra's function is differentiable everywhere and discontinuous on a set of positive measure. Since it also has bounded derivatives, you can add a linear function to it to make it monotone. If you work a bit harder probably you can also make it full measure. Certainly without the monotone assumption the result holds (see this MSE post). | |
| Feb 4, 2021 at 15:39 | history | asked | Nate River | CC BY-SA 4.0 |