My hand-held calculator (as well as GraphCalc and Wolfram) registers DOMAIN ERROR whenever I try to input this.
Paul's notes (http://tutorial.math.lamar.edu/pdf/Algebra_Cheat_Sheet.pdf) says that
a^(m/n)= (a^m)^(1/n) = (a^1/n)^m
However it does not define what set of numbers does a, m, and n...
Sometimes I just skip the proofs. Would I perish in the future if I do this often? I'm in a hurry because I need to get math done before I can do research.
@A. Neumaier: May I ask what are the mathematics pre-requisites of understanding the Lie algebras used in your book?
EDIT:
Please ignore this. I had read the preface and the answer to my question is there.
You can look at it in a different light:
Force is also defined as the change in momentum (mass * velocity) of the object with respect to time. That is
F = mv/t
When the car crashes to a wall then the time it takes for the velocity to change is very small. So F = mv/ 0.0001 seconds is a...
Best wishes, blade!
Try to make friends in school. I think it helps to be with people who are interested in scholarly activities, that way you'd get a sort of peer pressure into studying.
Our last course on Mathematical Physics covers topology, topological spaces, metric spaces; differential forms; introduction to group theory including finite and continuous groups, group representations, and Lie groups.
The textbook to be used is Math methods by Arfken and Intro to Hilbert...
There are 10 million million million million million particles in the universe that we can observe. Your momma took the ugly ones and put them into one nerd. Hahahahahaha I think this got Albert E.
I think I get it now...
In mathematical induction you prove that given any k>=1, if Sk, then Sk+1. But in the proof by smallest counterexample Sk-1 is used instead.
Is that okay?