/sci/ - Science & Math

>>9561905
Does the category of bears admit a faithful functor from the category of berries such that it's surjective on the subcategory raisins into the subcategory of polar bears?

>>9006444
>are you sure about that?
Pretty sure all [math]L^1[/math] functions are [math]L^2[/math] on [math]\sigma[/math]-finite measures senpai.
>What is [math]ε[/math] ?
Arbitrary continuous function. Read about the variational lemma.
>Why can you exchange the sum and the integral ?
Lol don't worry about that dude.
>They're not equal as sets, sure, but why couldn't they be isomorphic as Banach spaces ?
How do you have an isomorphism without it being a bijection? Sorry I thought that was one of the requirements.

>>8990131
Cauchy-Schwarz????