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Search: Posts Made By: Chruser
Forum: Science and Art 2017-10-17, 02:44 PM
Replies: 0
Views: 536
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: 499
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: 673
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: 1,605
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: 2,570
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: 876
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: 2,570
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: 2,570
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: 2,570
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: 529
Posted By Chruser
9a8r7xQvS1g

9a8r7xQvS1g
Forum: General Gaming 2016-06-24, 11:03 PM
Replies: 10
Views: 529
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: 529
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 2016-02-12, 04:31 PM
Replies: 2
Views: 1,673
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: 708
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: 2,668
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: 2,668
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&centered=random

Set it to verbose=1...
Forum: Principia Mathematica 2015-06-09, 12:56 AM
Replies: 6
Views: 2,668
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: 2,668
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: 3,964
Posted By Chruser
Funnel.

Funnel.
Forum: Science and Art 2015-04-23, 01:15 AM
Replies: 11
Views: 3,152
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, 07:12 AM
Replies: 41
Views: 3,964
Posted By Chruser
Burger.

Burger.
Forum: Science and Art 2015-04-20, 05:36 AM
Replies: 11
Views: 3,152
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, 01:06 AM
Replies: 11
Views: 3,152
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, 10:11 PM
Replies: 11
Views: 3,152
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, 03:30 AM
Replies: 11
Views: 3,152
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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