/sci/ - Science & Math » Thread #10991552

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Anonymous Sat 21 Sep 19:21:42 2019 No.10991552 View Reply Original Report

Quoted By: >>10992093 >>10992197 >>10992433

For some original content, I engage with everybody's most hated meme.
Might be interesting in that I tie to to Lie group theory and try to be a bit more explicit than some other articles I saw around.

https://youtu.be/az2WOnxsLhc

Anonymous

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Anonymous Sat 21 Sep 2019 20:13:48 No.10991675 Report

Quoted By:

Anonymous

Anonymous Sat 21 Sep 2019 23:28:19 No.10992093 Report

Quoted By: >>10992113

>>10991552
m8 you might be retarded if you believe some pants-shitting indian.

Anonymous

Anonymous Sat 21 Sep 2019 23:39:08 No.10992113 Report

Quoted By: >>10992361

>>10992093
sir, no racism allowed on this website

Anonymous

Anonymous Sun 22 Sep 2019 00:24:49 No.10992197 Report

Quoted By: >>10992332

>>10991552
Interesting regularization, but it doesn't seem to work for convergent values of the zeta function like n^(-2)?

Anonymous

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Anonymous Sun 22 Sep 2019 01:07:47 No.10992332 Report

Quoted By: >>10993291

>>10992197
That may well be, but it's also more difficult for me to judge as all derivatives of $\frac{1}{n^s}$ remain nonzero and so the summands on the right hand side of the Euler–Maclaurin formula remain positive. One would also have to tinker with the lower bound 0.

$\sum_{i=m+1}^n f(i) = \int^n_m f(x)\,dx + \frac{f(n) - f(m)}{2} + \sum_{k=1}^{\lfloor p/2\rfloor} \frac{B_{2k}}{(2k)!} (f^{(2k - 1)}(n) - f^{(2k - 1)}(m)) + R_p$

On the flipside, the expansion of negative logarithm powers keep on spitting out all the Bernoulli numbers, even if the amount of poles grow too.

Anonymous

Anonymous Sun 22 Sep 2019 01:15:02 No.10992361 Report

Quoted By: >>10992420

>>10992113
Do the needful sir.

Anonymous

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Anonymous Sun 22 Sep 2019 01:33:57 No.10992420 Report

Quoted By:

>>10992361

Anonymous

Anonymous Sun 22 Sep 2019 01:36:57 No.10992433 Report

Quoted By:

>>10991552
>nearly an hour long video
yeah I ain't watching it bud, give us a quick rundown.

Anonymous

Anonymous Sun 22 Sep 2019 08:40:34 No.10993166 Report

Quoted By: >>10993171

Does analytic number theory have any use in Eng.?

Anonymous

Anonymous Sun 22 Sep 2019 08:42:47 No.10993171 Report

Quoted By: >>10993274

>>10993166
loads of anal in Eng.

Anonymous

Anonymous Sun 22 Sep 2019 10:00:43 No.10993274 Report

Quoted By:

>>10993171
Engineers are excessive gays - that was a much more prevalent meme some time ago on /sci/. Whatever happened?

Anonymous

Anonymous Sun 22 Sep 2019 10:16:30 No.10993291 Report

Quoted By: >>10993322

>>10992332
>the Euler–Maclaurin formula
Why not Abel-Plana?
$\sum_{n=0}^\infty f(n)= \int_0^\infty f(x) \, dx+ \frac 1 2 f(0)+i \int_0^\infty \frac{f(i t)-f(-i t)}{e^{2\pi t}-1} \, dt$

Abel-Plana

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Abel-Plana Sun 22 Sep 2019 10:48:09 No.10993322 Report

Quoted By:

>>10993291
Why not indeed!

Anonymous

Anonymous Sun 22 Sep 2019 15:29:05 No.10993715 Report

Quoted By:

I maintain that division of numbers a/b should only be done if a has b as a factor. That's what the gods wanted for us.

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