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Search: Posts Made By: Chruser
Forum: Science and Art 2021-07-14, 12:13 PM
Replies: 0
Views: 2,960
Posted By Chruser
New article

Finally, after six years of work, the preprint of my latest article (https://arxiv.org/abs/2107.05710) with Rikard Bögvad and Boris Shapiro...
Forum: Science and Art 2021-04-21, 10:00 AM
Replies: 5
Views: 39,484
Posted By Chruser
Great question! I think the closest thing to...

Great question! I think the closest thing to another physical application of 1^2 + 2^2 + ... + n^2 that I've come across is in finding the volume of a pyramid with a rectangular base without...
Forum: Science and Art 2021-04-10, 05:50 AM
Replies: 5
Views: 39,484
Posted By Chruser
Sum of squares

There is a famous anecdote about the precocious mathematician Carl Friedrich Gauss (https://en.wikipedia.org/wiki/Carl_Friedrich_Gauss), who at the age of eight was tasked by his teacher J.G. Büttner...
Forum: Forum News, Suggestions and Discussion 2021-04-01, 08:30 AM
Replies: 4
Views: 43,430
Posted By Chruser
https://i.imgur.com/hnaODQD.gif

https://i.imgur.com/hnaODQD.gif
Forum: The Lounge 2021-04-01, 07:00 AM
Replies: 14
Views: 15,654
Posted By Chruser
Yes, I suggest this pattern for you: ...

Yes, I suggest this pattern for you:

q6AsllXpKBU




https://www.youtube.com/channel/UCXxoILgvOov2RL9UjKXI_CQ
Forum: Science and Art 2021-04-01, 06:42 AM
Replies: 13
Views: 12,356
Posted By Chruser
Vaccinations of 75-80-year olds started this week...

Vaccinations of 75-80-year olds started this week in Stockholm. I don't expect to be offered a vaccine anytime soon.
Forum: Diablo I & II 2021-04-01, 06:37 AM
Replies: 14
Views: 52,592
Posted By Chruser
I've used Wireshark/Tcpdump/various Kismet...

I've used Wireshark/Tcpdump/various Kismet tools/various programming languages on and off over the years, so perhaps I can contribute, depending on sentiments.
Forum: The Lounge 2021-03-27, 12:02 PM
Replies: 14
Views: 15,654
Posted By Chruser
Juggling, YouTube videomaking, math research,...

Juggling, YouTube videomaking, math research, reading, hiking, 3D animation.
Forum: Forum News, Suggestions and Discussion 2021-02-20, 05:28 AM
Replies: 12
Views: 2,523
Posted By Chruser
Bots have been around in similar or periodically...

Bots have been around in similar or periodically greater numbers for years without similar slowdowns, but yes, perhaps their tactics (page refresh rates?) have changed recently.
Forum: Forum News, Suggestions and Discussion 2021-02-17, 05:57 PM
Replies: 24
Views: 47,373
Posted By Chruser
TacoX AKA Ryan LegalTroubleEagle.

TacoX AKA Ryan LegalTroubleEagle.
Forum: Forum News, Suggestions and Discussion 2021-02-17, 10:52 AM
Replies: 12
Views: 2,523
Posted By Chruser
Crusher reporting in. I have a few websites...

Crusher reporting in.

I have a few websites on the same server as Zelaron with very inconsistent load times. I suspect that the slowdowns are due to PHP compatibility issues that aren't easy to...
Forum: General Gaming 2021-02-17, 10:39 AM
Replies: 30
Views: 9,423
Posted By Chruser
Welcome back, Silverjinx! Good to see some...

Welcome back, Silverjinx! Good to see some activity again on this barely-still-loading forum.




How old are we again?
Forum: News and Events 2021-01-08, 09:06 AM
Replies: 4
Views: 103,582
Posted By Chruser
https://i.imgur.com/z04tbcH.png

https://i.imgur.com/z04tbcH.png
Forum: Science and Technology News 2020-12-13, 07:45 AM
Replies: 0
Views: 63,741
Posted By Chruser
High school geometry problem finally solved after 272 years

https://i.imgur.com/X1EVwOu.png

Question: How big must r be chosen in the diagram, in order for the red area to equal one half of the area of the circle?

The above problem...
Forum: News and Events 2020-11-18, 10:47 AM
Replies: 4
Views: 103,582
Posted By Chruser
Biff Tannen couldn't fail to disagree with you...

Biff Tannen couldn't fail to disagree with you less.

https://i.imgur.com/vYPp4eX.png
Forum: Science and Art 2020-11-14, 03:20 PM
Replies: 0
Views: 34,958
Posted By Chruser
I broke math. Sorry about that.

For the math nerds that lurk here.

da1CN9BZjdI
Forum: Science and Art 2020-11-13, 09:05 PM
Replies: 6
Views: 61,303
Posted By Chruser
Your GPA or your HP!!!

Your GPA or your HP!!!
Forum: Science and Art 2020-11-13, 03:28 PM
Replies: 6
Views: 61,303
Posted By Chruser
Sorry for the late response. I've been busy...

Sorry for the late response. I've been busy breaking math (more on that in a while).

Anyway, I don't think I could pick a single #1 result in terms of beauty, so here are a few different ones.
...
Forum: Science and Art 2020-08-26, 06:31 AM
Replies: 4
Views: 11,311
Posted By Chruser
Apparently I managed to find a new (?) series for...

Apparently I managed to find a new (?) series for the n-th Fibonacci number somehow, which looks surprisingly terrible:

http://zelaron.com/urusai/fn.png

Presumably the summand can be simplified...
Forum: The Lounge 2020-08-26, 05:43 AM
Replies: 23
Views: 119,366
Posted By Chruser
Lenny!!! Yes, I'm still here, doing math 'n shit.

Lenny!!! Yes, I'm still here, doing math 'n shit.
Forum: Forum News, Suggestions and Discussion 2020-08-05, 02:50 AM
Replies: 25
Views: 215,057
Posted By Chruser
Try now. 8)

Try now. 8)
Forum: Science and Art 2020-07-25, 10:34 AM
Replies: 2
Views: 34,745
Posted By Chruser
Nice ones! The techniques used to turn ...

Nice ones! The techniques used to turn

\int_{0}^{\pi}\cos(mx)\cos(nx)\,\mathrm{d}x = \frac{\pi}{2}\delta_{mn}

into

\int_{0}^{\pi/2}\ln|\sin(mx)|\cdot\ln|\sin(nx)|\,\mathrm{d}x =...
Forum: Science and Art 2020-07-23, 06:27 PM
Replies: 2
Views: 34,745
Posted By Chruser
Hilariously hideous integrals

I got this idea from an integral on Wikipedia (https://en.wikipedia.org/wiki/Contour_integration#Example_2_%E2%80%93_Cauchy_distribution):

\int_{-\infty}^{\infty}...
Forum: Science and Art 2020-07-23, 04:52 PM
Replies: 4
Views: 11,311
Posted By Chruser
I guess I should have referred to one of my...

I guess I should have referred to one of my recent posts as well, on the topic of the golden ratio \varphi...
...
Forum: Science and Art 2020-07-20, 12:08 PM
Replies: 4
Views: 11,311
Posted By Chruser
I'm glad you liked it! Yes, linear recurrence...

I'm glad you liked it! Yes, linear recurrence relations like a_n = c_1 a_{n-1} + c_2 a_{n-2} + \dots + c_n a_{n-k} lend themselves well to explicit solutions by the transformation a_n = r^n, but to...
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