Timeline for Conjecture: If circular coins of any sizes are in a convex polygonal frame, with each coin touching exactly one edge, then all the coins can move
Current License: CC BY-SA 4.0
12 events
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| Jan 12, 2023 at 5:07 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jan 12, 2023 at 4:03 | comment | added | Iosif Pinelis | @ZachTeitler : Thank you for your appreciation. I was just trying to realize your idea. | |
| Jan 12, 2023 at 4:01 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jan 12, 2023 at 3:55 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jan 12, 2023 at 2:45 | comment | added | Zach Teitler | This is very nice! Thank you for sharing the computations. | |
| Jan 11, 2023 at 22:59 | comment | added | fedja | Great! Now it is believable :-). I also tried to answer an old question of yours about the bound on the $L^p$-norm of the sum of pairwise independent random variables. I'm naturally curious how much you know yourself by now. I showed only that $C_p$ stays bounded for $p\in(1,2)$ but I still have no idea whether it tends to $1$ as $p\to 2$. Do you know the answer to that question? | |
| Jan 11, 2023 at 22:35 | comment | added | Iosif Pinelis | @fedja : Thank you for your comment. There were two typos in my previous work. With those typos fixed, the answer turns out to be affirmative. | |
| Jan 11, 2023 at 22:32 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jan 11, 2023 at 21:24 | comment | added | fedja | Erm.. Something is fishy: the described move diminishes both the $x$ and the $y$ - coordinate difference between the centers of the red and the green circles, so how is it an admissible move? Am I missing anything? | |
| Jan 11, 2023 at 20:42 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jan 11, 2023 at 20:32 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jan 11, 2023 at 20:00 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |