Timeline for Equation $\ \binom xn'\ =\ \log(n)$ [closed]
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 28, 2017 at 2:56 | comment | added | Wlod AA | Anthony Quas, Steven Landsburg, Mark Sapir, René, Stefan Kohl -- can you be more specific? | |
| Jun 24, 2017 at 1:02 | comment | added | Wlod AA | @StevenLandsburg, thank you, so nice! (There was no unknown function symbol like "f(x)" hence there was no differential equation, if that was the diversion). | |
| Jun 24, 2017 at 0:56 | review | Reopen votes | |||
| Jun 24, 2017 at 13:38 | |||||
| Jun 24, 2017 at 0:49 | comment | added | Steven Landsburg | @WlodAA: Like Gerhard, I thought that you were seeking an $n$ that would make the equation true for all $x$, not for an $x$ that would make the equation true for a given $n$. I'd have avoided this misinterpretation if I'd realized who you were (in which case I'd have realized you were unlikely to ask anything quite so crazy), but I might also have avoided it if I'd stopped to think for a moment. I apologize for not taking that moment, and I am retracting my close vote. | |
| Jun 24, 2017 at 0:39 | comment | added | Wlod AA | @StevenLandsburg, you're dreaming if you think that you and Gerhard are subjected to the same illusions. Anyway, seriously, could you say more about the "misinterpretation" (if it still matters). | |
| Jun 24, 2017 at 0:36 | comment | added | Wlod AA | @RobertIsrael, only the classical arithmetic form is "out of question". But there is plenty of potential opportunities for other neat closed form answers. | |
| Jun 23, 2017 at 22:12 | answer | added | Robert Israel | timeline score: 3 | |
| Jun 23, 2017 at 21:06 | comment | added | Steven Landsburg | I hope the OP will at least rewrite the question so it is not subject to the same misinterpretation that misled both @GerhardPaseman and me. | |
| Jun 23, 2017 at 21:06 | history | closed |
Anthony Quas Steven Landsburg user6976 R.P. Stefan Kohl♦ |
Not suitable for this site | |
| Jun 23, 2017 at 20:52 | comment | added | Robert Israel | The OP wants to consider, for each positive integer $n$, ${x \choose n}$ as a polynomial $f_n(x)$ of degree $n$, and solve $f_n'(x) = \log(n)$ (where $x$ is near $n$). Of course a closed-form solution is out of the question, but asymptotic solutions are possible. | |
| Jun 23, 2017 at 20:46 | comment | added | Gerhard Paseman | Not for this forum. Besides, the right hand side does not involve x, meaning the left hand side is linear in x, so n must be one. (Except that doesn't' work either.) Gerhard "One For A Different Forum" Paseman, 2017.06.23. | |
| Jun 23, 2017 at 20:39 | review | Close votes | |||
| Jun 23, 2017 at 21:06 | |||||
| Jun 23, 2017 at 19:53 | history | asked | Wlod AA | CC BY-SA 3.0 |