Science Memes

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So much (mander.xyz)

submitted 4 months ago by [email protected] to c/[email protected]

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[–] [email protected] 7 points 4 months ago (1 children)

Infinitesimal approach is often more convoluted when you perform various operations, like exponentials.

Instead, epsilon-delta can be encapsulated as a ball business, then later to inverse image check for topology.

[–] [email protected] 2 points 4 months ago

i think the ε-δ approach leads to way more cumbersome and long proofs, and it leads to a good amount of separation between the “idea being proved” and the proof itself.

it’s especially rough when you’re chasing around multiple “limit variables” that depend on different things. i still have flashbacks to my second measure theory course where we would spend an entire two hour lecture on one theorem, chasing around ε and η throughout different parts of the proof.

best to nip it in the bud id say