Timeline for Extremizing sequence consists of two elements
Current License: CC BY-SA 4.0
28 events
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| S Nov 15 at 18:06 | history | bounty ended | CommunityBot | ||
| S Nov 15 at 18:06 | history | notice removed | CommunityBot | ||
| Nov 8 at 9:44 | vote | accept | António Borges Santos | ||
| Nov 8 at 7:35 | answer | added | Alex Ravsky | timeline score: 4 | |
| Nov 8 at 6:55 | comment | added | Alex Ravsky | Crossposted at Mathematics.SE. | |
| Nov 8 at 3:42 | comment | added | mathworker21 | Yea, I think you should rewrite this question to make it more precise. It's very badly written as of now. | |
| Nov 8 at 2:47 | comment | added | Anthony Quas | One more question as I process your question: if we take $I=\{1,2\}$ for now, then your equation for $\gamma$ may be rearranged to $0e^{-\gamma 0}+ se^{-\gamma s}=\lambda(e^{-\gamma 0}+ e^{-\gamma s})$ or $se^{-\gamma s}=\lambda(1+e^{-\gamma s})$ or $\lambda=se^{-\gamma s}/(1+e^{-\gamma s})$. As $\gamma\to 0$, this approaches $\frac s2$, whereas as $\gamma\to\infty$, this approaches 0. So how do you get equality if $\lambda\in (\frac s2,s)$? | |
| Nov 8 at 2:42 | comment | added | Anthony Quas | As a comment, I think maybe you could achieve the same thing by requiring $I=\mathbb N$, and allowing the sequences to the take the value $\infty$, with the (reasonable) convention that $\infty e^{-\gamma\infty}=0$. | |
| Nov 8 at 2:41 | comment | added | Anthony Quas | Do I understand correctly that $\mathcal A_s$ is meant to be the set of all sequences, finite and infinite, with the properties that $x_1=0$, $x_2=s$, and the summability condition? So when you maximize over $\mathcal A_s$, you are maximizing over the length of the sequence as well as the terms? | |
| Nov 8 at 0:44 | history | edited | António Borges Santos | CC BY-SA 4.0 |
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| Nov 7 at 18:54 | history | edited | António Borges Santos | CC BY-SA 4.0 |
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| Nov 7 at 16:51 | history | edited | António Borges Santos | CC BY-SA 4.0 |
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| S Nov 7 at 16:48 | history | bounty started | Pritam Bemis | ||
| S Nov 7 at 16:48 | history | notice added | Pritam Bemis | Draw attention | |
| Nov 7 at 16:40 | history | edited | António Borges Santos | CC BY-SA 4.0 |
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| Nov 5 at 14:14 | history | edited | Alex Ravsky |
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| S Oct 26 at 9:04 | history | bounty ended | CommunityBot | ||
| S Oct 26 at 9:04 | history | notice removed | CommunityBot | ||
| Oct 20 at 11:08 | history | edited | António Borges Santos | CC BY-SA 4.0 |
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| Oct 18 at 16:46 | history | edited | António Borges Santos | CC BY-SA 4.0 |
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| S Oct 18 at 7:17 | history | bounty started | António Borges Santos | ||
| S Oct 18 at 7:17 | history | notice added | António Borges Santos | Draw attention | |
| Oct 17 at 16:42 | history | edited | António Borges Santos | CC BY-SA 4.0 |
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| Oct 17 at 7:22 | history | edited | António Borges Santos | CC BY-SA 4.0 |
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| Oct 16 at 13:13 | history | edited | António Borges Santos | CC BY-SA 4.0 |
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| Oct 16 at 9:41 | history | edited | António Borges Santos | CC BY-SA 4.0 |
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| Oct 16 at 9:17 | history | edited | António Borges Santos | CC BY-SA 4.0 |
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| Oct 16 at 5:51 | history | asked | António Borges Santos | CC BY-SA 4.0 |