Timeline for Maximizing the integral of a transformation that depends on a neighborhood of values of the original function
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Mar 29 at 20:23 | comment | added | Juan Meleiro | Yes. Corrected it. About $U$: yes, I leave any necessary assumptions for others to impose, when answering. Since I have no experience with this kind of problem, I can't fathom what's reasonable. | |
| Mar 29 at 20:22 | history | edited | Juan Meleiro | CC BY-SA 4.0 |
Correct word for ball
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| Mar 29 at 17:09 | comment | added | Iosif Pinelis | You still have $U$, now undefined. Also, by "circle", do you mean "disk"? | |
| Mar 29 at 17:04 | history | edited | Juan Meleiro | CC BY-SA 4.0 |
Fix problem with function domains, change codomain
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| Mar 29 at 16:49 | comment | added | Juan Meleiro | Yeah, you're right; that's a problem in modelling. Data is always given in a limited region, but that's not a good physical assumption. Maybe a good way to fix it is to allow the functions to be defined all-over, but then maximize the integrals over $U$. | |
| Mar 28 at 19:49 | comment | added | Iosif Pinelis | Something seems wrong here. You are dealing with values of the form $f(u+x)$, where $u\in\mathcal B_r$ and $x\in U$. But then $u+x$ may be outside $U$, whereas $f$ seems to be defined on $U$. I think the post requires some work. | |
| S Mar 28 at 19:30 | review | First questions | |||
| Mar 28 at 20:37 | |||||
| S Mar 28 at 19:30 | history | asked | Juan Meleiro | CC BY-SA 4.0 |