Timeline for On the behaviour of $\sin(n!\pi x)$ when $x$ is irrational.
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Aug 4, 2010 at 22:01 | comment | added | Petya | Thank you! I also stared on your comment for a few minutes! But now I understand. | |
| Aug 3, 2010 at 20:36 | comment | added | Willie Wong | Petya, I hope you don't mind my minor edit. I stared at your post for a full five minutes before I understood that you didn't mean to define $e$ as $\sum 1/i! \sin(n!\pi x)$... | |
| Aug 3, 2010 at 20:35 | history | edited | Willie Wong | CC BY-SA 2.5 |
added a few words to prevent confusion
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| Aug 3, 2010 at 15:21 | comment | added | Petya | Moreover, it easily generalizable to $\sum_{i\in I}1/i!$, where $I$ is any infinite subset of $\mathbb N$. That gives us a continuum points in $\mathbb R / \mathbb Q$. | |
| Aug 3, 2010 at 13:24 | comment | added | Pietro Majer | also note that the sequence $\sin(\pi xn!)$ only changes by finitely many terms if a rational is added to $x$; so in particular 2) holds in a dense set. | |
| Aug 3, 2010 at 12:30 | history | answered | Petya | CC BY-SA 2.5 |