Recent content by KrayzBlu

Thanks for pointing this out, SteveL27, I should have said B = D +/- n*2*π, where n is any integer.

Hi, We know that if we have two complex numbers in polar format (i.e., magnitude and exponential), that for two complex vectors z1 = A*exp(iB) z2 = C*exp(iD) If z1 and z2 are equal, then A = C and B = D. However, this is assuming these values are all real. What if they are complex...

Some progress My engineering brain wasn't used to this sort of math, so I may have been to quick to say that exponentials don't work - my apologies I suppose that if f(x,y) = e^{h(x,y)}, and g(x,y) = e^{i(x,y)}, then we can say that h(x,y) = a\int{\frac{g(x,y)}{f(x,y)}} and i(x,y) =...

Thanks for your replies. the_wolfman, thanks for your suggestion, I wish I had some specific boundary conditions - I'll think about that and let you know, but I would be happy with anyone of the equation form(s) that would solve this. pasmith, thank you as well. I'm not sure how in your...

Hello, I've been looking for the form of the solution(s) to following differential equations: \frac{\partial^2}{\partial x \partial y}f(x,y) = a \cdot g(x,y) \frac{\partial^2}{\partial x \partial y}g(x,y) = b \cdot f(x,y) Where a and b are unrelated constants, and f,g are of the same...

Sorry, to clarify, I meant that inserting your suggested [A] matrices both do not give a valid solution for [C]. I'm concluding that if these simple matrices can't be solved for, then it is correct that there is no solution. Thanks

They don't give the same result, so I guess there is no general solution. Am I correct in interpreting that this also means that any variation of A cannot be solved for? (For example, if A were diagonal). Thanks

Hi mfb, I've tried that, and unfortunately come up with no solution. I'm wondering of there's some sort of mathemagical trick I've never heard of :) Thanks

Hello, I would like to know if it is possible (and the solution, if known, please!) to extract a 3x3 matrix [A] from a curl operation. Specifically, if B is a 3x1 (column) vector, ∇x([A]B) = [C](∇xB) What is the value of tensor [C]? Would [C] be a 3x3 matrix as well, or a different rank...

So what about the equation I asked about in https://www.physicsforums.com/showthread.php?t=410984 , which is \Deltau(x,y) = u(x,y)*f(x,y) Does this fall into the same category? It seems to me that there is only one unknown equation with two variables, however, does this count as two equations...