Recent content by simba31415

No thoughts anyone? Sorry to bump but I could really use some help with this, any thoughts at all please respond!

Homework Statement Hi all, just a quick question here - the setup is as follows: X is a random variable, X \sim \operatorname{Bin}(m,p) where p=2^{-\sqrt{\log n}}(\log n)^2 and m \geq 2^{\sqrt{\log n}}c for constants c, n (n "large" here). I wish to show that \mathbb{P}(X < c) \leq e^{-(\log...

Hi morphism, sorry it took me so long to reply - I didn't see anyone had responded to me. I've been having a think, but I can't think of any obvious inequalities which we can deduce for e_1: presumably we want e_1 \geq something for this. I know all the ramification indices for any prime...

Homework Statement Let L_1/K,\,L_2/K be extensions of p-adic fields, at least one of which is Galois, with ramification indices e_1,\,e_2 . Suppose that (e_1,\,e_2) = 1 . Show that L_1 L_2/K has ramification index e_1 e_2. Homework Equations I have most of the proof done: I'm trying to show...

Aaanyone? If not, I guess the mods should feel free to close this thread!

Just thought i'd check again, nobody has any thoughts on this perhaps? :)

Homework Statement Hello everyone, I am trying to determine the the threshold function p=p(n) for a random bipartite graph (see http://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93R%C3%A9nyi_model for a 'random graph': I am interested in the same idea, but for random bipartite graphs), such that...

That sounds promising! What were you thinking of? :)

Homework Statement As in the question - Suppose that f_n:[0,1] -> Reals is a sequence of continuous functions tending pointwise to 0. Must there be an interval on which f_n -> 0 uniformly? I have considered using the Weierstrass approximation theorem here, which states that we can find...

Please could the mods delete this thread? I believe I found a way myself, so I'd appreciate it if they could get rid of this :)

Incidentally, if anyone can point me in the right direction for this then I'd be very happy to read up on it myself, I don't need the whole concept explained to me if you can just nudge me in the right area :)

Hi all, I've been set some holiday work by my study director which is meant to be teaching us all about algorithms and a few other mathematical bits and bobs - unfortunately I've come unstuck on one of the bobs, and was hoping for some help! I've asked for help elsewhere but was given very...