Timeline for "Essential values" of a function at a point?
Current License: CC BY-SA 4.0
7 events
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| Oct 23 at 18:28 | comment | added | Nate River | Hm, well i answered your original inquiry to the best of my ability. If you have a more specific question relating to your research goals, you could probably make a new post to ask. @SébastienLoisel | |
| Oct 23 at 12:50 | comment | added | Sébastien Loisel | I'm not sure I know anything about "geometric measure theory" but I needed something stronger than "a.e." and the Lebesgue set for my application. For $x \in \mathbb{R}^d$, I have a closed convex set $Q(x) \subset \mathbb{R}^e$ with nonempty interior. I needed to generalize the notion $f(x) \in Q^{\circ}(x)$. If $f$ is continuous, the meaning is clear. If $f$ is piecewise continuous, I need that $\xi_k \to x \implies \lim f(\xi_k) \in Q^{\circ}(x)$, if the limit exists. The generalization of that notion appears to be $\operatorname{ess val} f(x) \in Q^{\circ}(x)$. | |
| Oct 23 at 8:02 | history | edited | Nate River | CC BY-SA 4.0 |
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| Oct 23 at 7:56 | history | edited | Nate River | CC BY-SA 4.0 |
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| Oct 23 at 7:55 | history | edited | LSpice | CC BY-SA 4.0 |
`\cap` -> `\bigcap`
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| Oct 23 at 7:53 | history | edited | Nate River | CC BY-SA 4.0 |
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| Oct 23 at 7:48 | history | answered | Nate River | CC BY-SA 4.0 |