/sci/ - Science & Math » Thread #11867105

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I have a small question

Anonymous Sat 04 Jul 18:16:53 2020 No.11867105 View Reply Original Report

Quoted By: >>11868455

EXPLAIN COMPLEX ANALYSIS TO ME OR I'LL FUCKING KILL YOU! DON'T DUMB IT DOWN INTO SOME ALGEBRAIC SHIT! EXPLAIN COMPLEX ANALYSIS TO ME RIGHT NOW OR I'LL LITERALLY FUCKING KILL YOU! WHAT THE FUCK IS A MEROMORPHISM? WHAT THE FUCK ARE RESIDUES? DON'T DUMB IT DOWN OR I'LL FUCKING KILL YOU

Anonymous

Anonymous Sat 04 Jul 2020 18:23:31 No.11867132 Report

Quoted By: >>11868451

Complex analysis isn't real math.

Anonymous

Anonymous Sat 04 Jul 2020 18:29:06 No.11867150 Report

Quoted By: >>11868451 >>11868533

>complex analysis
not science or math.
>>>/x/

Anonymous

Anonymous Sat 04 Jul 2020 18:38:18 No.11867181 Report

Quoted By:

>Meromorphism means that the degenerate nonlinear susceptibility is holomorphic (i.e. analytic) everywhere in the upper half of the complex angular frequency plane, but with the exception of the poles, which are located on both the upper and lower half-planes
https://doi.org/10.1016/S0030-4018(02)01323-8

so the "susceptibility" is holomorphic/analytic at all points on the upper half plane (the only half that matters), except for the parts that aren't? I guess that means if you avoid the poles you have an otherwise useful equation

Anonymous

Anonymous Sun 05 Jul 2020 00:18:37 No.11868451 Report

Quoted By: >>11868539

>>11867132
>>11867150
I don't get this meme

Anonymous

Anonymous Sun 05 Jul 2020 00:20:18 No.11868455 Report

Quoted By: >>11868482

>>11867105
A Meromorphism is a function that is complex differentiable except possibly at finitely many points
so its almost Holomorphic

Anonymous

Anonymous Sun 05 Jul 2020 00:30:51 No.11868482 Report

Quoted By: >>11868486 >>11868488

>>11868455
Ackshually, it can have infinitely many points without analyticity, as long as they're countable.

Anonymous

Anonymous Sun 05 Jul 2020 00:32:13 No.11868486 Report

Quoted By:

>>11868482
yeah you right, Gamma is meromorphic

Anonymous

Anonymous Sun 05 Jul 2020 00:32:48 No.11868488 Report

Quoted By: >>11868495 >>11868536 >>11868550

>>11868482
>as long as they're countable
Discrete, you mean? IIRC they couldn't have limit points.

Anonymous

Anonymous Sun 05 Jul 2020 00:37:54 No.11868495 Report

Quoted By: >>11868501 >>11869503

>>11868488
Anon, how much higher math do you know? There's a difference between countable and uncountable infinities.

Anonymous

Anonymous Sun 05 Jul 2020 00:41:13 No.11868501 Report

Quoted By: >>11868536

>>11868495
>Anon, how much higher math do you know?
Doing a PhD.
>There's a difference between countable and uncountable infinities.
Yes, and? I double checked, a meromorphic function needs to be holomorphic except on a discrete set of points, not just a countable number of points.

Anonymous

Anonymous Sun 05 Jul 2020 00:57:46 No.11868533 Report

Quoted By:

>>11867150
based

Anonymous

Anonymous Sun 05 Jul 2020 01:01:17 No.11868536 Report

Quoted By: >>11868546 >>11868550

>>11868488
>>11868501
Countable on the complex plane implies discrete.

Anonymous

Anonymous Sun 05 Jul 2020 01:03:30 No.11868539 Report

Quoted By:

>>11868451
It's people who literally never made it past prealgebra, and they come to /sci/ because they're retarded brains somehow think it makes them smart. Then they claim everything they don't understand (which is almost everything) is a load of bs.

Anonymous

Anonymous Sun 05 Jul 2020 01:04:24 No.11868542 Report

Quoted By:

The Schaum Outline is quite good on this anon.

Anonymous

Anonymous Sun 05 Jul 2020 01:05:30 No.11868546 Report

Quoted By: >>11868554 >>11868556

>>11868536
>the rational numbers are discrete in the complex plane

Anonymous

Anonymous Sun 05 Jul 2020 01:07:55 No.11868550 Report

Quoted By: >>11868558

>>11868536
I know, I just thought that was implicit. I just didn't like this >>11868488 anon trying to correct me with an equivalent definition to what I said.

Anonymous

Anonymous Sun 05 Jul 2020 01:10:41 No.11868554 Report

Quoted By:

>>11868546
Fucking hell, I'm so bad at analysis. Why does this stuff always slip past me?

Anonymous

Anonymous Sun 05 Jul 2020 01:11:25 No.11868556 Report

Quoted By: >>11868558

>>11868546
When he says "discrete", he means that each region of non-analyticity has measure 0. A single rational point has measure 0.

Anonymous

Anonymous Sun 05 Jul 2020 01:14:49 No.11868558 Report

Quoted By:

>>11868550
>when you say a countable subset of the complex plane, you implicitly mean that it's discrete
No, you don't.
>>11868556
Anon, the poles need to be isolated.
Remember that theorem about how if the zeroes of a holomorphic function have a limit point, then the function is constant zero? It's the exact same thing.

Anonymous

Anonymous Sun 05 Jul 2020 08:47:52 No.11869503 Report

Quoted By:

>>11868495
lol brainlet

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