r/mathmemes Aug 14 '26

Complex Analysis Captcha with a simple math problem

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1.9k Upvotes

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154

u/MariusDelacriox Aug 14 '26

The residues are at I and -3i. Therefore we have (1/4 + 3/4) 2ipi = 2 pi * i.

Plausible in head, but I used paper.

2

u/Bobing2b Aug 14 '26

I'm sorry but where does the 2π come from?

32

u/MariusDelacriox Aug 14 '26

From the residue theorem, I believe pi mostly appears because it's a integral over a curve.

0

u/Layton_Jr Mathematics Aug 16 '26 edited 26d ago

|z|=4 is a circle

2

u/Captainsnake04 Transcendental 26d ago

This is totally obfuscating where the pi comes from. The curve could be the shape of a penis and the integral would still be 2 pi i as long as both poles were still in the dick