Recent content by Rob Hal

Hi, I posted this yesterday, but I figured I'd better post it again since the other thread can't be replied to at this time since its in the archives. I'm looking for some advice on whether or not I'm doing a problem correctly. The problem is: A particle of mass m rests on a smooth...

Hi, I'm looking for some advice on whether or not I'm doing a problem correctly. The problem is: A particle of mass m rests on a smooth plane. (the particle starts at r) The plane is raised to an inclination \theta, at a constant rate \alpha, with \theta = 0 at t=0, causing the particle...

lol... yeah... I was thinking I was looking for rationals only... whoops... Still, is there any difference in the two statements themselves?

Hi all, If I have these two statements given to me, and I have to determine whether they are true or not. a) \forall x \epsilon R \exists y \epsilon R (y^2 = x^2 + 1) b) \exists y \epsilon R \forall x \epsilon R (y^2 = x^2 + 1) Now, to me, they both mean exactly the same thing...

Hi all, I'm looking for some suggestions for a few problems I'm working on. 1. A very simple problem with a comet of orbital period 100 years and perihelion distance from the center of the Sun that is twice the distance of the solar radius. Now, I was looking for the velocity of the comet...

Excellent...I knew it was really elementary. Thank you very much!

Just though I'd make a comment on this here... The University of Western Ontario has no affiliation with SNO. SNO (Sudbury Neutrino Observatory) is, evidently, in Sudbury and has strong connections to Laurentian University (in Sudbury, ON) and Queen's University (in Kingston, ON). Now...

Hi, In one of my textbooks, I'm given these two equivalent equations for energy flux radiated from a black body, one dependent on frequency, the other on wavelength: I(\lambda)d\lambda = \frac {2c^2h}{\lambda^5} \frac {1}{e^{(hc/KT\lambda)}-1}d\lambda and I(\nu)d\nu = \frac...

Hoooo boy... yeah, that was bad. Okay. Then I am on the right track. Thanks!

How 'bout this... Perhaps it would be easier if I tried to see what I'm doing wrong with a simpler problem. (or at least, one that looks like it should be simple to me) So show that n^5 - n is divisible by 5 for all n > 0. Okay, so I can easily prove the basis by substituting in any...

Yeah, I posted it wrong... I copy pasted the equations and didn't realize that the ^ sign didn't go with them... For the Fibonacci sequence, shot that, for all n>=2, f(n)^2 + f(n-1)^2 = f(2*n-1). For the Fibonacci sequence, show that, for all n>2, f(n-1)*f(n+1) = f(n)^2+(-1)^n. My mistake.

The problem I am given asks this specifically: "Use mathematical induction to prove each of the following conjectures. In your proofs, be sure to state clearly the base case, the induction hypotheses, and what you’re attempting to prove in the induction step. " And the two equations I...

Hi, I'm looking for some help regarding a problem I have. It's a problem I'm doing for my computer science class, and we need to prove certain conjectures using mathematical induction. Now, I've never learned mathematical induction in any class, so I'm basing everything I know about it off...