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 Showing results 1 to 25 of 500 Search took 0.21 seconds. Search: Posts Made By: Chruser
 Forum: Science and Art 2017-10-17, 01:44 PM Replies: 0 Views: 2,256 Posted By Chruser New math paper https://arxiv.org/abs/1710.01679 My paper extends earlier work by Pólya (https://en.wikipedia.org/wiki/George_P%C3%B3lya), and gives detailed results on how to construct Voronoi diagrams...
 Forum: Science and Art 2017-08-17, 07:31 AM Replies: 0 Views: 971 Posted By Chruser Number of zeros of a certain type of rational function Perhaps you can assist me with some intuition. I'm looking for the number of zeros of f_{m,n}(z) : = \frac{\mathrm{d}^m}{\mathrm{d}z^m}\left[\left(\frac{P(z)}{Q(z)}\right)^n\right], where P(z) and...
 Forum: General Discussion 2017-02-25, 09:21 AM Replies: 2 Views: 903 Posted By Chruser This isn't right. This isn't even wrong. This isn't right. This isn't even wrong.
 Forum: Science and Art 2016-10-04, 07:27 PM Replies: 4 Views: 2,016 Posted By Chruser lim sup fgts Apparently, my first math paper is now available on arXiv: https://arxiv.org/abs/1610.00921
 Forum: Science and Art 2016-09-06, 03:58 PM Replies: 18 Views: 3,043 Posted By Chruser Borwein integral... Borwein integral (https://en.wikipedia.org/wiki/Borwein_integral).
 Forum: The Lounge 2016-08-22, 03:55 AM Replies: 6 Views: 1,281 Posted By Chruser Still INTJ. ... Still INTJ. http://zelaron.com/urusai/intj.png Since I don't expect the image to outlast the forum: 75% introverted, 90% intuitive, 100% thinking, 72% judging, 70% assertive.
 Forum: Science and Art 2016-08-15, 05:05 AM Replies: 18 Views: 3,043 Posted By Chruser \int_0^\infty \frac{\sin(x)}{x} \,... \int_0^\infty \frac{\sin(x)}{x} \, \mathrm{d}x=\frac{\pi}{2} \int_0^\infty \frac{\sin(x)}{x}\cdot\frac{\sin(x/3)}{x/3} \, \mathrm{d}x =\frac{\pi}{2} \int_0^\infty...
 Forum: Science and Art 2016-07-31, 07:48 PM Replies: 18 Views: 3,043 Posted By Chruser Yes, my "formula" is just the result of using the... Yes, my "formula" is just the result of using the identity {n\choose k} = {n\choose n-k} repeatedly, followed by a little algebra: {n\choose k} = {n\choose n-k} = {n\choose n-(n-k)} = {n\choose...
 Forum: Science and Art 2016-07-19, 04:00 PM Replies: 18 Views: 3,043 Posted By Chruser Miscellaneous math \sum_{n=0}^{\infty} \frac{x^{4n}}{(4n)!} = \frac{\cos(x) + \cosh(x)}{2} {n\choose k} = {n\choose n\cdot\sum\limits_{p=0}^{r-1} (-1)^p + k\cdot\prod\limits_{q=0}^{r-1} (-1)},\,r \in \mathbb{Z}
 Forum: General Gaming 2016-06-27, 09:23 PM Replies: 10 Views: 823 Posted By Chruser 9a8r7xQvS1g 9a8r7xQvS1g
 Forum: General Gaming 2016-06-24, 10:03 PM Replies: 10 Views: 823 Posted By Chruser The summer/winter/etc sale trading cards are... The summer/winter/etc sale trading cards are similar to regular trading cards with a few exceptions, mainly the expiration date you mentioned, and that there isn't (usually) a level cap on the badges...
 Forum: General Gaming 2016-06-24, 09:59 PM Replies: 10 Views: 823 Posted By Chruser FTFY. Also, trading card drops for queue... FTFY. Also, trading card drops for queue exploration is pure evil. Fortunately, I don't have any remaining funds in my Steam wallet, and I've managed to be too lazy to add my new credit card to...
 2016-02-12, 03:31 PM Replies: 2 Views: 2,030 Posted By Chruser The energy release of the BH merge was what,... The energy release of the BH merge was what, ~10^50 J? I really hope most of that energy was converted into gravitational waves...
 Forum: The Lounge 2016-01-04, 02:00 PM Replies: 4 Views: 884 Posted By Chruser 馬鹿りました。 馬鹿りました。
 Forum: Principia Mathematica 2015-06-12, 08:41 PM Replies: 6 Views: 3,206 Posted By Chruser I haven't seen anything like the lonely triangle... I haven't seen anything like the lonely triangle in your first example before. Pretty neat! Nice and strange textures, overall, too. Generic contribution: http://i.imgur.com/MTTM3kR.png
 Forum: Principia Mathematica 2015-06-11, 02:29 PM Replies: 6 Views: 3,206 Posted By Chruser Bouillon. Useful for making delicious soup. ... Bouillon. Useful for making delicious soup. Try generating some new artworks: http://zelaron.com/buljong/imhotep.html?width=686&height=424&colors=3&verbose=0¢ered=random Set it to verbose=1...
 Forum: Principia Mathematica 2015-06-08, 11:56 PM Replies: 6 Views: 3,206 Posted By Chruser Time for more! ... Time for more! http://zelaron.com/buljong/gallery/arrow.png
 Forum: Principia Mathematica 2015-06-08, 08:54 PM Replies: 6 Views: 3,206 Posted By Chruser Heliopolis http://zelaron.com/buljong/gallery/pyra005.png http://zelaron.com/buljong/gallery/pyra006.png http://zelaron.com/buljong/gallery/pyra008.png http://zelaron.com/buljong/gallery/pyra003.png ...
 Forum: The Lounge 2015-05-01, 06:26 PM Replies: 41 Views: 4,486 Posted By Chruser Funnel. Funnel.
 Forum: Science and Art 2015-04-23, 12:15 AM Replies: 11 Views: 3,788 Posted By Chruser That doesn't sound very fun. :( Remind me to... That doesn't sound very fun. :( Remind me to capacitate myself to work on problems like this without any teaching duties.
 Forum: The Lounge 2015-04-20, 06:12 AM Replies: 41 Views: 4,486 Posted By Chruser Burger. Burger.
 Forum: Science and Art 2015-04-20, 04:36 AM Replies: 11 Views: 3,788 Posted By Chruser I played around a bit with the word-counting... I played around a bit with the word-counting approach, which seems to have given me some promising results. Each walk of length M\ge 0 in n dimensions that starts at the origin corresponds to a...
 Forum: Science and Art 2015-04-20, 12:06 AM Replies: 11 Views: 3,788 Posted By Chruser The integral seems fine for d=1 (both for obvious... The integral seems fine for d=1 (both for obvious inputs, like a probability of 1/2 for the point x=1 after one step, and less obvious ones simulated by your program). For d=2 dimensions, a simple...
 Forum: Science and Art 2015-04-19, 09:11 PM Replies: 11 Views: 3,788 Posted By Chruser It wasn't really ambiguous, I just fucked up. Not... It wasn't really ambiguous, I just fucked up. Not that you probably need that integral, but it looks like a straightforward application of Euler's formula and the multinomial theorem, if I'm reading...
 Forum: Science and Art 2015-04-19, 02:30 AM Replies: 11 Views: 3,788 Posted By Chruser \int_{-\pi}^{\pi} e^{x(\cos x)^k}\mathrm{d}x... \int_{-\pi}^{\pi} e^{x(\cos x)^k}\mathrm{d}x looks like one of those almost-friendly integrals that end up being analytically untractable. I'd play around with the exponential integral function, or...
 Showing results 1 to 25 of 500

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