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Posts Made By:
Chruser
Forum:
Science and Art
20181206, 09:49 AM
Replies:
7
Maclaurin series similar to those of e^x
Views:
15,162
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
20181206, 01:44 AM
Replies:
7
Maclaurin series similar to those of e^x
Views:
15,162
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
20181125, 03:51 PM
Replies:
7
Maclaurin series similar to those of e^x
Views:
15,162
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
20181123, 10:11 PM
Replies:
7
Determining if a complex number w = f(z1, z2, z3) is a known triangle center
Views:
780
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
20181123, 08:53 AM
Replies:
7
Determining if a complex number w = f(z1, z2, z3) is a known triangle center
Views:
780
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
20181109, 11:52 PM
Replies:
9
My career/job
Views:
1,996
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
20171017, 01:44 PM
Replies:
0
New math paper
Views:
3,422
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:
1,644
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:
1,244
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:
2,805
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:
4,360
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:
2,008
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:
4,360
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:
4,360
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:
4,360
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:
1,724
Posted By
Chruser
9a8r7xQvS1g
9a8r7xQvS1g
Forum:
General Gaming
20160624, 10:03 PM
Replies:
10
Steam summer sale
Views:
1,724
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:
1,724
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:
2,676
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:
1,086
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:
4,019
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:
4,019
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:
4,019
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:
4,019
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:
6,450
Posted By
Chruser
Funnel.
Funnel.
Showing results 1 to 25 of 500
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