Last thread reached the bump limit.
>what are you studying?
>any cool problems?
>any cool theorems or remarks?
>reference suggestions?
>???
/mg/ MATH GENERAL
Matthew Stewart
Henry Sullivan
I am trying to understand the solution to this exercise.
I think I get it all the way until the end. How can you guarantee that you can choose such an [math] x_0 [/math]? Can you even guarantee that the o(1) term will be smaller than b-a?
That said, if someone could explain the entire argument that would be good too because... maybe the reason I don't get that final part is because I am not truly getting the parts before.
Ryder Richardson
>Can you even guarantee that the o(1) term will be smaller than b-a?
doesn't that follow immediately from the definition of little o? i.e. for all epsilon>0 the o(1) term is eventually bounded above in absolute value by epsilon, so you can just take epsilon= (b-a)/2
Easton Lewis
I didn't... realize. Little o was defined in this very chapter and I guess I haven't had time to digest.
But I think I get it. If f(x) = o(1) then that means that the limit as x approaches infinity of f(x)/1 equals 0. And therefore the limit as x approaches infinity of f(x) is 0. And that means that functions in the o(1) class get arbitrarily small.
Holy shit fuck. This was trivial. I can finally see
Mason Jackson
there is a conformal map from the unit disk, D(0,1), to the puncture unit disk, D(0,1)\{0}
you guys won't find one though
Thomas Turner
I'll puncture your unit with my disk if you keep on with that cheek
Joshua Morris
I have found something quite remarkable regarding CFT and TQFT that basically confirms my suspicion from last thread.
Will post details after I'm home.
Henry Bell
Be honest, do you use "nootropics"?
Wyatt Diaz
do energy drinks count?
Nathaniel Reed
Does coffee count?