Timeline for An easy-to-state elusive combinatorial problem
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| Jun 28, 2013 at 1:09 | vote | accept | Maaz-ul-Haq | ||
| Jun 27, 2013 at 23:41 | answer | added | David E Speyer | timeline score: 4 | |
| Jun 27, 2013 at 19:53 | comment | added | Maaz-ul-Haq | @domotorp exactly. | |
| Jun 27, 2013 at 19:20 | history | edited | Maaz-ul-Haq | CC BY-SA 3.0 |
added 19 characters in body
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| Jun 27, 2013 at 16:39 | comment | added | domotorp | @Maarten: I think he means to find min x st for all a1, a2, exists k, l, n. | |
| Jun 27, 2013 at 10:23 | history | edited | Maaz-ul-Haq | CC BY-SA 3.0 |
added 9 characters in body
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| Jun 27, 2013 at 10:06 | comment | added | Maarten Derickx | I have some problems with parsing this question. Could you please add "for all" and "there exists" quantifiers to your question so that it becomes unambiguous? | |
| Jun 27, 2013 at 1:10 | comment | added | Gerry Myerson | Previously posted to, and deleted from, m.se: math.stackexchange.com/questions/429474/… | |
| Jun 26, 2013 at 20:15 | comment | added | Douglas Zare | Cases where $n=3^-$ is necessary include $b_1 \in (9/10,15/14), b_2 = 3/2^+$ or $a_1 \in (9/5,15/7), a_2 = 3^+$. | |
| Jun 26, 2013 at 20:00 | comment | added | Douglas Zare | Let $b_i = a_i/2$. The conditions are that $b_i \ge 1/2$ and that $[nb_i]$ is odd, where $[x]$ is the nearest integer to $x$, with ties broken in favor of odd integers. | |
| Jun 26, 2013 at 19:06 | comment | added | Maaz-ul-Haq | In the case $a_1=a_2=4$ we select $n=\frac{5}{4}$ and that would render both $a_1, a_2 \in [5,7]$. The question is that no matter what $a_1$ and $a_2$ you go for, I can always find an $1\le n\le 3$ such that $4k−3≤na_1≤4k−1$ and $4l−3≤na_2≤4l−1$ where $k,l \in \mathbb{N}$. | |
| Jun 26, 2013 at 19:00 | comment | added | Stephen Sturgeon | I don't think your question make's sense in its current form. Let a_1=a_2=4. Then 12 does not satisfy your inequalities, so 3 does not "ensure" what you are asking. | |
| Jun 26, 2013 at 18:37 | answer | added | The Masked Avenger | timeline score: 0 | |
| Jun 26, 2013 at 18:16 | history | asked | Maaz-ul-Haq | CC BY-SA 3.0 |