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Search: Posts Made By: Chruser
Forum: Science and Art 2020-07-02, 02:46 AM
Replies: 6
Views: 7,978
Posted By Chruser
Well, at least you get to know that your obscure...

Well, at least you get to know that your obscure compiler error message that you've battled for days probably has a solution. You're bound to find it if you just give it another day or two... Maybe....
Forum: Science and Art 2020-06-03, 04:49 PM
Replies: 6
Views: 7,978
Posted By Chruser
Need Help, Stuck on Calc 1 Homework!!

Find the critical points of f(x) and use the second derivative test to classify them as relative maxima or relative minima, where

https://i.imgur.com/rE65QTG.png


I'm completely stuck with...
Forum: Principia Mathematica 2020-06-03, 04:13 AM
Replies: 7
Views: 47,570
Posted By Chruser
Zeta function regularization is fake and gay. ...

Zeta function regularization is fake and gay.

YuIIjLr6vUA

In all seriousness, even though I dislike the 1 + 2 + 3 + ... = -1/12 "identity" that arises from analytic continuation of the...
Forum: The Lounge 2020-05-27, 02:21 PM
Replies: 3
Views: 7,844
Posted By Chruser
RySHDUU2juM FTFY.

RySHDUU2juM

FTFY.
Forum: General Discussion 2020-05-21, 12:48 PM
Replies: 9
Views: 15,956
Posted By Chruser
ccn8bRU5IiE

ccn8bRU5IiE
Forum: General Discussion 2020-05-20, 02:53 PM
Replies: 9
Views: 15,956
Posted By Chruser
I think the government made this plague on...

I think the government made this plague on purpose to get rid of population growth.
Forum: General Discussion 2020-04-30, 12:55 AM
Replies: 4
Views: 18,647
Posted By Chruser
Thanks, I appreciate your input! I've thought...

Thanks, I appreciate your input! I've thought about something similar recently, but in a more "let's play"-like context. Not necessarily for games, but for various other software (Photoshop,...
Forum: General Discussion 2020-03-03, 09:27 PM
Replies: 4
Views: 18,647
Posted By Chruser
Thanks. Way too long... Well, at least the intro...

Thanks. Way too long... Well, at least the intro and number animations did, while the rest wasn't too bad. I think I averaged around 50 seconds of produced material per day toward the end. I'm sure...
Forum: General Discussion 2020-03-02, 02:51 PM
Replies: 4
Views: 18,647
Posted By Chruser
My first YouTube video

Okay, it isn't really, but I finally decided to try out Premiere and After Effects to see what the fuss was all about. Have fun learning about the ten tallest buildings in Africa, or something:
...
Forum: Science and Art 2019-07-22, 11:07 AM
Replies: 20
Views: 40,355
Posted By Chruser
Apparently there's a new, pretty cool physical...

Apparently there's a new, pretty cool physical interpretation of the Borwein integrals in terms of random walks:




Sources:
...
Forum: Science and Art 2018-12-06, 09:49 AM
Replies: 7
Views: 56,447
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, 01:44 AM
Replies: 7
Views: 56,447
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, 03:51 PM
Replies: 7
Views: 56,447
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, 10:11 PM
Replies: 7
Views: 4,204
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, 08:53 AM
Replies: 7
Views: 4,204
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 2018-11-09, 11:52 PM
Replies: 9
Views: 2,869
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, 01:44 PM
Replies: 0
Views: 4,483
Posted By Chruser
New math paper

https://arxiv.org/abs/1710.01679

My paper extends earlier work by PĆ³lya (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: 2,670
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: 1,547
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: 3,900
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: 20
Views: 40,355
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: 2,560
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: 20
Views: 40,355
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: 20
Views: 40,355
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: 20
Views: 40,355
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}
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