Homework Statement
How can i prove this relationship
\sum _{i=0}^k \text{Binomial}[n+1,k-2i] - \sum _{i=0}^k \text{Binomial}[n,k-2i]=\sum _{i=0}^k \text{Binomial}[n,k-1-2i]
Homework Equations
Binomial (n,k)=n^k/k!
The Attempt at a Solution
I attempted subbing into mathyematica but this didn't...
10. sound, light(electromagnetic waves and electricity, includes heat), potential energy, kinetic energy, gravitational, elastic,
and all of these are in one way or the other related to the 4 fundamental interactions of the strong weak, electromagnetic and gravitational forces
Tiger you bring up good points and yer there are all the benefits of the excellent HECS and scholarship options in australia. I had a look at a list of Physicists and found a few Australian physicists other than the one you mentioned.
Main one I found was William Lawrence Bragg-Nobel Prize...
My local University would be the University of Queensland, which is where i would go if I did stay in Australia.
If i did go overseas Id like to go to Cambridge, Oxford, Princeton, Stanford, The new York Uni with Michael Kaku or Brian Greene, or any Uni that has a good physics program.
Ok, I am currently in school in Queesnland, Australia and I want to become a Professor in the field of Cosmology/Quantum Gravity (theoretical not experimental physics). Now what I want to know is would I have to do my undergraduate/postgraduate studies overseas in the states or Europe to be...