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 Showing results 1 to 25 of 500 Search took 0.20 seconds. Search: Posts Made By: Chruser
 Forum: Science and Art 2018-12-06, 10:49 AM Replies: 7 Views: 11,677 Posted By Chruser Actually, this seems to be it (modulo some minor... Actually, this seems to be it (modulo some minor technical stuff). My previous post was getting a bit lengthy, so I'll post some calculations in here instead. We have that f_{g(n)}(x) =...
 Forum: Science and Art 2018-12-06, 02:44 AM Replies: 7 Views: 11,677 Posted By Chruser Well, to quote some... Well, to quote some (https://en.wikipedia.org/wiki/John_von_Neumann) guy (https://en.wikipedia.org/wiki/John_von_Neumann) who broke the "known for" list in the sidebar of Wikipedia by making it too...
 Forum: Science and Art 2018-11-25, 04:51 PM Replies: 7 Views: 11,677 Posted By Chruser Maclaurin series similar to those of e^x I was playing around with functions of the form f_{g(n)}(x) = \sum_{n=0}^{\infty} \frac{x^{g(n)}}{(g(n))!} (based on the trivial Maclaurin expansion of e^x = f_n(x)), and noticed, for example, that ...
 Forum: Science and Art 2018-11-23, 11:11 PM Replies: 7 Views: 565 Posted By Chruser Some people just don't understand the dangers of... Some people just don't understand the dangers of indiscriminate surveillance.
 Forum: Science and Art 2018-11-23, 09:53 AM Replies: 7 Views: 565 Posted By Chruser Determining if a complex number w = f(z1, z2, z3) is a known triangle center I've found a number of closely related functions, each of which takes three complex numbers z_1,\,z_2, and z_3 (which we can consider as the vertices of a triangle) as its arguments, and outputs a...
 Forum: Life Discussion 2018-11-10, 12:52 AM Replies: 9 Views: 1,931 Posted By Chruser Perhaps their overly concerned parents that... Perhaps their overly concerned parents that accompany them will be happy to fill you in with the required (m/d)isinformation to make your prospective job a fun challenge. Then again, if Dawkins is...
 Forum: Science and Art 2017-10-17, 02:44 PM Replies: 0 Views: 3,366 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, 08:31 AM Replies: 0 Views: 1,574 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, 10:21 AM Replies: 2 Views: 1,209 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, 08:27 PM Replies: 4 Views: 2,730 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, 04:58 PM Replies: 18 Views: 4,248 Posted By Chruser Borwein integral... Borwein integral (https://en.wikipedia.org/wiki/Borwein_integral).
 Forum: The Lounge 2016-08-22, 04:55 AM Replies: 6 Views: 1,960 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, 06:05 AM Replies: 18 Views: 4,248 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, 08:48 PM Replies: 18 Views: 4,248 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, 05:00 PM Replies: 18 Views: 4,248 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, 10:23 PM Replies: 10 Views: 1,642 Posted By Chruser 9a8r7xQvS1g 9a8r7xQvS1g
 Forum: General Gaming 2016-06-24, 11:03 PM Replies: 10 Views: 1,642 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, 10:59 PM Replies: 10 Views: 1,642 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, 04:31 PM Replies: 2 Views: 2,616 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, 03:00 PM Replies: 4 Views: 1,065 Posted By Chruser 馬鹿りました。 馬鹿りました。
 Forum: Principia Mathematica 2015-06-12, 09:41 PM Replies: 6 Views: 3,937 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, 03:29 PM Replies: 6 Views: 3,937 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 2015-06-09, 12:56 AM Replies: 6 Views: 3,937 Posted By Chruser Time for more! ... Time for more! http://zelaron.com/buljong/gallery/arrow.png
 Forum: Principia Mathematica 2015-06-08, 09:54 PM Replies: 6 Views: 3,937 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, 07:26 PM Replies: 41 Views: 6,268 Posted By Chruser Funnel. Funnel.
 Showing results 1 to 25 of 500

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