SO SLEEEEEEEEEEEEEEEEEEEEEEEPY NYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
NYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA SLEEP
wow⌠i miss zugzwang.
ok Iâm NOT tired but I was tired until I finished the assignmentnts. then Iâm not ried befocause george orwell
Iâm in the friendâs dorm room that Iâm always in. The one where I slept on the floor. So Iâm antitired
somehow NOT needing to do things is a gret entergy poster
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
Iâm so out of things to do. I have some extra credit orgo homework but after that itâs just finals and Iâm death hell bored because I donât study much. Itâs always funnyw hen people go âoh finals Iâm soooo busyâ. Iâm soooo unbusy
UNIFORM CONTINUITY has a cool nonstandard analysis definition
i also have a grad school whose deadline is WEDNESDAY. for some reason. could work on that tonight
she approach on my sequences until f of the sequences approach each other
with UNIFORM CONTINUITY, for every you need a
that works for ALL the c inyour range
thatâs an ALTERNATE definition that i should probably know a bit better than i do yeah
wait what
whatâs 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.
note that those sequences donât 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 âoh epsilon delta also worksâ
and kinda the same idea with that definition of uniform continuity and âoh epsilon delta over an interval implies uniform continuityâ
yeah I know the âfor all sequences x_n in domain of f that approach c, f(x_n) also approaches câ definition
f(x_n) approaches f(c) but yeah