Timeline for Behavior of $n^\alpha \sin^{\circ\, n}(n^{-\alpha}x)$
Current License: CC BY-SA 4.0
23 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 4, 2021 at 10:13 | history | edited | YCor | CC BY-SA 4.0 |
updated title to relevant question, updated notation
|
| Oct 4, 2021 at 8:50 | history | edited | YCor |
edited tags
|
|
| Oct 4, 2021 at 8:43 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Math Jaxed title and further tagged
|
| Oct 4, 2021 at 7:15 | history | edited | Chetan Vuppulury |
Removed limits-and-colimits tag as not relevant
|
|
| Oct 3, 2021 at 18:18 | comment | added | fraxinus | cosine converges at non-zero | |
| Oct 3, 2021 at 16:37 | comment | added | Lutz Lehmann | See math.stackexchange.com/questions/3837335/… for the square root case and links to other topics related to the sine iteration. | |
| Oct 3, 2021 at 16:13 | history | edited | LSpice | CC BY-SA 4.0 |
Fixing parentheses while this is still on the front page
|
| Oct 3, 2021 at 14:24 | history | made wiki | Post Made Community Wiki by Stefan Kohl♦ | ||
| Oct 3, 2021 at 12:22 | history | became hot network question | |||
| Oct 3, 2021 at 10:02 | history | reopened |
Pace Nielsen Carlo Beenakker Daniele Tampieri Alexey Ustinov Stefan Kohl♦ |
||
| Oct 3, 2021 at 6:56 | comment | added | Carlo Beenakker | to make this question less trivial and more appropriate for MO, I have added the rescaled limit as a follow-up question; perhaps if it's reopened the limit for $\alpha\neq 0,1/2$ can be considered in an answer. | |
| S Oct 3, 2021 at 6:43 | review | Reopen votes | |||
| Oct 3, 2021 at 10:06 | |||||
| S Oct 3, 2021 at 6:43 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
to make this question less trivial and more appropriate for MO, I have added the rescaled limit as a follow-up question
Added to review
|
| Oct 3, 2021 at 6:32 | history | left closed in review |
Alexey Ustinov user44191 Daniele Tampieri |
Not suitable for this site | |
| Oct 3, 2021 at 6:32 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Math Jaxed
|
| Oct 3, 2021 at 4:39 | review | Reopen votes | |||
| Oct 3, 2021 at 6:32 | |||||
| Oct 2, 2021 at 19:50 | history | closed |
Boris Bukh Carl-Fredrik Nyberg Brodda Chris Wuthrich Wojowu abx |
Not suitable for this site | |
| Oct 2, 2021 at 19:48 | comment | added | Willie Wong | And the limit exists since $\sin(x) \in [-1,1]$ and on $[-1,1]$ you have that $\sin x$ and $x$ have the same sign, while $|\sin x| \leq x$. So the generated sequence is eventually monotone. | |
| Oct 2, 2021 at 19:42 | review | Close votes | |||
| S Oct 2, 2021 at 19:51 | |||||
| Oct 2, 2021 at 19:34 | answer | added | Carlo Beenakker | timeline score: 33 | |
| Oct 2, 2021 at 19:24 | comment | added | Martin Rubey | If the limit exists it must be a fixed point if the sine. | |
| S Oct 2, 2021 at 19:18 | review | First questions | |||
| S Oct 2, 2021 at 19:51 | |||||
| S Oct 2, 2021 at 19:18 | history | asked | Guy Dror | CC BY-SA 4.0 |