this post was submitted on 26 Apr 2024
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Science Memes

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Advanced Maths (mander.xyz)
submitted 6 months ago by [email protected] to c/[email protected]
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[–] [email protected] 10 points 6 months ago* (last edited 6 months ago) (2 children)

Well, those properties are only for holomorphic functions, otherwise it's just as hard or worse. Edit: '

[–] [email protected] 3 points 6 months ago

Holomorphicity is equivalent to (or defined as) being differentiable in a nonempty, connected, open set, so it's not asking much. Even then, functions which fail to be holomorphic can often be classified in a similarly rigid way.

[–] [email protected] 3 points 6 months ago

it's* just as hard