Recent content by electronicengi

Excellent. Looks like I will be doing a little bit of reading up on the Mobius transformation. Does anyone know how to find (if possible) a closed form solution for the mean value of x?

Hello people of Physics Forums, In my research into transmission lines, I have come across the following function: x = ( a - i * b * tan(t) ) / ( c - i * d * tan(t) ) In the above equation x, a, b, c and d are complex and t is real. If my analysis is correct, varying t from -pi/2 to...

Alas, no luck. I am not sure how to solve this one. For now I think I am going to resort to coding up an algorithm to find a numeric approximation.

How embarrassing. The typographical error has been corrected.

Thank you Office_Shredder. Your comment about "eA+B = eAeB only if A and B commute" has highlighted something to me. My original question does not contain enough information to yield a unique solution. This is why an assumption (such as commutativity) is required for the mathematics to work...

You raise a good point Office_Shredder. I don't think I that my original question contains enough information to yield a unique solution. In the particular problem I am looking to solve A and B do not always commute. However, suppose that the following is known: T11 = B1A1 T12 = B1A2 T21 =...

You are correct UltrafastPED. I have modified the original post. My apologies.

Please do not be offended by my literary style. I find thinking about mathematical problems in such a way helps me learn better. A is a 2x2 matrix of complex numbers, call this "apple" B is a 2x2 matrix of complex numbers, call this "banana" Let a "Fruit Salad" be defined as follows: S...