About the Rules & Moderation category (Part 1)

SO SLEEEEEEEEEEEEEEEEEEEEEEEPY NYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

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NYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA SLEEP

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:wolf:

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wow… i miss zugzwang.

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ok I’m NOT tired but I was tired until I finished the assignmentnts. then I’m not ried befocause george orwell

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I’m in the friend’s dorm room that I’m always in. The one where I slept on the floor. So I’m antitired

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somehow NOT needing to do things is a gret entergy poster

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i have a COMPREHENSIVE real analysis final tomorrow. zug tell me some cool real analysis facts that i already know i need to jog my memory

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I’m so out of things to do. I have some extra credit orgo homework but after that it’s just finals and I’m death hell bored because I don’t study much. It’s always funnyw hen people go “oh finals I’m soooo busy”. I’m soooo unbusy

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UNIFORM CONTINUITY has a cool nonstandard analysis definition

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i also have a grad school whose deadline is WEDNESDAY. for some reason. could work on that tonight

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she approach on my sequences until f of the sequences approach each other

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with UNIFORM CONTINUITY, for every :scream_cat: you need a :smirk_cat: that works for ALL the c inyour range

that’s an ALTERNATE definition that i should probably know a bit better than i do yeah

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wait what
what’s the normal definition

a function is uniform continuous if for any two sequences {u_x} and {v_x} s.t. lim n-> infinity {u_x - v_x} = 0, then lim n-> infinity {f(u_x) - f(v_x)} = 0.

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note that those sequences don’t have to be convergent, they just have to get arbitrarily close to each other

are you aware of the non epsilon delta definition of continuity. because we primarily use that and had one day dedicated to “oh epsilon delta also works”

and kinda the same idea with that definition of uniform continuity and “oh epsilon delta over an interval implies uniform continuity”

yeah I know the “for all sequences x_n in domain of f that approach c, f(x_n) also approaches c” definition

f(x_n) approaches f(c) but yeah