Homework Statement
If X1 is uniform on [0,1], and, conditional on X1, X2, is uniform on [0,X1], find the joint and marginal distributions of X1 and X2
Homework Equations
conditional joint distribution
The Attempt at a Solution
f(x1|x2) = 1/x1 (for 0<x2<x1)
f(x1) = 1 ( for...
[b]1. Prove the following identity:
Ʃ(n choose k)(m-n choose n-k) = (m choose n)
from k = 0 to k = n
I've tried induction, and just played around with a few properties of permutations, but nothing seems to satisfy the proof, any ideas?
Im not that up on quantum theory ( I am starting college as a physics major and have only completed ap level high school physics and single variable calculus ) but if I understand correctly, you are saying that two electrons are in different states of motion due to the fact that they are in...
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I was curious about how the exclusion principle applied to fermions and bosons differently. My current understanding is that the exclusion principle states that no two fermions may be in the same state of motion and that bosons do not obey the exclusion principle. My problem with this is...
Thanks for all the answers.
Just how hard is it to become a university professor? I'd like to believe that if one works hard and is passionate about what one does, then attaining a position as a university professor should be a probable option.
Comparatively, how hard is it to come by...
Hey guys,
I was curious ( I am currently a freshman in college) what job opportunities are out there for people who major in physics (B.S. or Ph.D.). I am specifically interested in jobs for people interested in theoretical/particle physics.
~thanks
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I am currently graduating high school (this weekend) and I will be attending UC Irvine for undergraduate. My question here is to compare and contrast the careers of being a doctor or a physicist.
I have always been interested in science but I am not completely sure what to major in...