Recent content by 5kold

Your problem is your ego. Also, you are merely a student of physics, not a Theoretical Physicist. I love it when these silly undergrads call themselves "2nd year Engineer" or "3rd year Chemist", as if they actually are on Tenure Payroll at a university and have publications in Nature.

sorry for the self bump, but does anyone else care to contribute? Thank you.

Thank you for the replies. I would like to get some more feedback from anyone else who cares to contribute.

A very vague question- What are my chances of getting accepted to a top 30 Ph.D. program in math (specifically U Maryland, Johns Hopkins, U Penn, U Washington, Ann Arbor, Columbia, Northwestern) if I: Am completing my Master's in math from a top 20 school (UIUC) with a (realistically...

I am a senior in mathematics studying graduate point-set topoology atm. I am thinking I want to study differential topology in graduate school and maybe apply it to problems in cosmology. Do I need to take more ODE and PDE? I took intro to diff eq- the one that all engineering undergrads take...

different metrics... same topology? Let (X,d) be a metric space. Define d':X x X-->[0,infinity) by ... d(x,y) if d(x,y)=<1 d'(x,y)= ... 1 if d(x,y)>=1 Prove that d' is a metric a d that d a d d' define the same topology on X. This is a weird seeming metric. I am not sure...

I do not know what the matrix A looks like. What is T? I do know how to find the characteristic polynomial for a square matrix. Thanks for the continuing help, Mark44.

Homework Statement Show that if the matrix of a linear transformation "multiplication by a" is "A" then a is a root of the characteristic polynomial for A. Also, I am not sure how to obtain the monic polynomial of degree 3 satisfied by 2^(1/3) and by 1+2^(1/3)+4^(1/3). The Attempt...