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Posts Made By:
Chruser
Forum:
Science and Art
20171017, 01:44 PM
Replies:
0
New math paper
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
20170817, 07:31 AM
Replies:
0
Number of zeros of a certain type of rational function
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
20170225, 09:21 AM
Replies:
2
Chruser
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
20161004, 07:27 PM
Replies:
4
lim sup fgts
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
20160906, 03:58 PM
Replies:
18
Miscellaneous math
Views:
3,043
Posted By
Chruser
Borwein integral...
Borwein integral (https://en.wikipedia.org/wiki/Borwein_integral).
Forum:
The Lounge
20160822, 03:55 AM
Replies:
6
It's time for another MyersBriggs Personality test!
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
20160815, 05:05 AM
Replies:
18
Miscellaneous math
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
20160731, 07:48 PM
Replies:
18
Miscellaneous math
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 nk} repeatedly, followed by a little algebra:
{n\choose k} = {n\choose nk} = {n\choose n(nk)} = {n\choose...
Forum:
Science and Art
20160719, 04:00 PM
Replies:
18
Miscellaneous math
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}^{r1} (1)^p + k\cdot\prod\limits_{q=0}^{r1} (1)},\,r \in \mathbb{Z}
Forum:
General Gaming
20160627, 09:23 PM
Replies:
10
Steam summer sale
Views:
823
Posted By
Chruser
9a8r7xQvS1g
9a8r7xQvS1g
Forum:
General Gaming
20160624, 10:03 PM
Replies:
10
Steam summer sale
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
20160624, 09:59 PM
Replies:
10
Steam summer sale
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...
Forum:
Science and Technology News
20160212, 03:31 PM
Replies:
2
Gravitational waves announcement
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
20160104, 02:00 PM
Replies:
4
Happy new year!
Views:
884
Posted By
Chruser
馬鹿りました。
馬鹿りました。
Forum:
Principia Mathematica
20150612, 08:41 PM
Replies:
6
Heliopolis
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
20150611, 02:29 PM
Replies:
6
Heliopolis
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
20150608, 11:56 PM
Replies:
6
Heliopolis
Views:
3,206
Posted By
Chruser
Time for more! ...
Time for more!
http://zelaron.com/buljong/gallery/arrow.png
Forum:
Principia Mathematica
20150608, 08:54 PM
Replies:
6
Heliopolis
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
20150501, 06:26 PM
Replies:
41
WordAssociation
Views:
4,486
Posted By
Chruser
Funnel.
Funnel.
Forum:
Science and Art
20150423, 12:15 AM
Replies:
11
Random walk in arbitrary dimension
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
20150420, 06:12 AM
Replies:
41
WordAssociation
Views:
4,486
Posted By
Chruser
Burger.
Burger.
Forum:
Science and Art
20150420, 04:36 AM
Replies:
11
Random walk in arbitrary dimension
Views:
3,788
Posted By
Chruser
I played around a bit with the wordcounting...
I played around a bit with the wordcounting 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
20150420, 12:06 AM
Replies:
11
Random walk in arbitrary dimension
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
20150419, 09:11 PM
Replies:
11
Random walk in arbitrary dimension
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
20150419, 02:30 AM
Replies:
11
Random walk in arbitrary dimension
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 almostfriendly 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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