Recent content by TimNguyen

Oh, there should not be a [theta] in the trigonometric functions, but rather the value (s/r). Hence, the parametrization of a circle would be: (r*cos(s/r), r*sin(s/r), sqrt[R^2 - r^2]) Thanks for all the help!

Homework Statement Parametrize a circle of radius r on a sphere of radius R>r by arclength. Homework Equations Circle Equation: (cos [theta], sin[theta], 0) The Attempt at a Solution I don't know if the professor is tricking us, but isn't the parametrization just Circle...

Is this place called "Yogurt Land"?

You're taking QM and have not taken Calculus I? How is that possible?

What are the important equations for projectile motion? There should be two you should be using, one for the horizontal direction and one for the vertical.

Break all 3 vectors into x and y components. You could do this because you have the magnitude and direction of the vectors A and C.

I think the general form would aid you. Int(sin(kx),x) = -1/k cos(kx) + C Int(cos(kx),x) = 1/k sin(kx) + C where k is a constant Edit: Never mind, you're using substitution. For the problem you stated, you could replace the "4x" with "u", but you must also change the "dx" to some form of...

Sorry about that. My math is extremely rusty since I started graduate school in physics.

I'm not so sure about this but do we not know how the function maps irrational numbers, such as sqrt(2)?

I'd just use a truth table. If you don't know what that is, then I don't think you belong in math.

Hello all, I was doing some reading on doubly differential cross-sections and was wondering what does this actually measure, in a physical sense. The way I see it, it looks like the differentiation of the incident angle of the scattering with respect to the reflected angle? Also, there's also...

How would I write a program that finds all the prime numbers that are less than or equal to a "user-supplied" integer N, implementing the fact that I should only be dividing N by all prime numbers less than sqrt(N)?

Let p,q be two prime numbers. Prove that there exists a homeomorphism of rings such that f([1]_p)=[1]_q from Z_p[X] into Z_q[X] if and only if p=q. I believe that the converse of the statement is trivial but the implication seems to be obvious? I really don't know what there really is to...

Thank you once again, I think I have a brief idea.

So basically, all I need to do is for an arbitrary a,b in Q, then find a way to compute it so it will lead to: f(ab) = f(a) + f(b)?