Thanks for your help! I found the Christoffel symbols from an appendix in the back of my textbook. Yes, this sounds like it would work because the second part of the problem asks us to transform the metric into Minkowski form (I have figured this part out). However, I think the questioning is...
Homework Statement
Calculate the Riemann curvature for the metric:
ds2 = -(1+gx)2dt2+dx2+dy2+dz2 showing spacetime is flat
Homework Equations
Riemann curvature eqn:
\Gammaαβγδ=(∂\Gammaαβδ)/∂xγ)-(∂\Gammaαβγ)/∂xδ)+(\Gammaαγε)(Rεβδ)-(\Gammaαδε)(\Gammaεβγ)
The Attempt at a Solution...
Homework Statement
Let f and g be bounded functions on [a,b].
1. Prove that U(f+g)</=U(f)+U(g).
2. Find an example to show that a strict inequality may hold in part 1.
Homework Equations
Definition of absolute value?
The Attempt at a Solution
I know that a function f is bounded if its...
Thank you for your reply! Ok, going too far back into Algebra world; could you explain a bit more what you mean? Also, do you think my way is adequate? Would you add or take away anything?
Thanks again!
Homework Statement
Prove that √(n-1)+√(n+1) is irrational for every integer n≥1.
Homework Equations
Proofs i.e. by contradiction
The Attempt at a Solution
2n + 2√(n^2-1) = x^2
so
√(n^2-1) = (x^2-2n)/2
Now if x is rational then so is (x^2-2n)/2 so this says that √(n^2-1) is...
Hello,
What is the common amount of time it takes to complete an undergraduate science degree? I have heard four years and five years. What about a double major on two science fields, i.e. Chemistry and Physics; again, I have heard four years and five?
To top tier graduate schools...
Thank you very much for your help! What you said is just what I needed to hear - possibility, the dedication it will take and all. (Just for clarification; did one friend complete an electrical engineering degree, while another completed a computer engineering degree, or did they both complete...
Hello,
Some one told me that I should not try and play basketball at college and double major in Chemistry and Physics; that I should either pick one or the other. I really love the sport and the sciences and was devastated when they advised me to have to choose between things that I love...