Recent content by Pyrokenesis

Thanks TheElectricChild. Ebolamonk3y, I think MiGUi, just got the functions mixed up, an easy mistake to make. You are right, g(x)=z+i... g(x)^2=(z+i)^2, therefore, the answer is: 2i/(z + i)^2, which after substituting i for z, yields: -i/2.

More "Complex" Complex Analysis I have another problem that has eluded me for days and I'm sure I'm close. If anyone can help, please nudge me in the right direction. Consider the mapping w = u + iv = 1/z, where z = x + iy. Show that the region between the curves v = -1 and v = 0 maps into...

Cheers Thanks. I was being stupid, that formula and fact that differentiation rules for real calculus and complex calculus is the same, was on the previous page to that question.

I am having trouble with the following question, any help would be blinding. Find the value of ther derivative of: (z - i)/(z + i) at i. I tried to use the fact that f'(z0) = lim z->z0 [f(z) - f(z0)]/z - z0. I also tried using the fact that z = x + iy and rationalising the denominator...

Thanx bro, I know, its a tough subject, cheers for the link. Now that all other coursework is out of the way I will crack on with this and post my findings when I find something. Good luck with your course as well, cheers, Dexter

Thanx guys, I've read a bit more on the subject, and if he couldn't see his image then as I understand it he would know the speed he was moving at without having to look outside his own frame. This violates the principle of relativity. Makes sense!

Do photons effectivley travel instantaneously? If not then the question posed by Einstein "If I travel at the speed of light and hold a mirror in-front of my face, do I see a reflection?" has the answer, no! Although I'm not positive why but would say that because your in the same frame of...

Sorry. Yes standard configuration is when both reference frames move in the direction of the x-axis. Thanks I think I can solve it now.

The L2 transformations are as follows: r' = r + γv^[(1 - 1/γ)(r.v^) - βct]; ct' = γ(ct - r.β); where β = v/c & v^ is the unit vector in the direction of v. The L1 transformations are: x' = γ(x - βct); y' = y; z' = z; ct' =...

Hello. I am having trouble answering the following question: "Show that the L2 transformation reduces to the L1 transformation when the two reference frames are in standard configuration." Am I wrong to assume that r = xi + yj + zk Any help would be beautiful! Thanx much

I am having trouble with the following question. (Just hoping to get some guidance, recommended texts etc.): "Consider an eigenvalue problem Ax = λx, where A is a real symmetric n*n matrix, the transpose of the matrix coincides with the matrix, (A)^T = A. Find all the eigenvalues and...

Thanx for all your help. Should have seen it all along!

Sorry, didnt see your last reply. Our equations look similar (apart from a difference in sign, mine is probably wrong then) and obviously v is the speed of the nucleus which is the moving frame.

I have an equation: u(y)' = u(y)/(gamma)(1 - u(x)v/c^2). Is this the equation?

Yes I see that now I was just being slow of brain, however I have an answer now for v using just the values of u(x) and u(x)', and the transformation velocity equation for u(x). Is that the velocity of the S' frame and is it needed?