Recent content by scikidus

Terribly sorry, I misspoke/posted. By "invert," I meant not the function, but the final equation that I'm working on.

Thanks to those who have responded, you've helped a lot. @Vid: The link you supplied helped me solve another problme I was working with, so thanks. @CRGreathouse: That, too, is of great help. I wasn't sure if 0^0 would be considered defined, but that greatly simplifies my procedure...

"Dual-output" Function? This isn't homework: I am experimenting with factorization. Does anyone know of a function f(x) which for some value of x returns one value for f(x), but for every other value of x returns some other value? Example: I'm trying to find a function f(x), where x = 0...

Let there be a 2-by-2 matrix A with the elements: [a b] [c d] Now, let there be a 2-by-2 matrix B with the elements: [w x] [y z] Let A*A = B. This means that w, x, y, and z can all be independantly represented solely in terms of a, b, c, and d. My question: is there any way...

Has anyone ever heard of it, or better yet, done any research involving it? I'm doing some work with the conjecture, and I'm wondering if anyone could help me out.

If you're really feeling diligent about this, here's a website I found a while ago: http://thinkzone.wlonk.com/ArithShortcuts/ShortestShortcut.htm" It's complicated, but it looks kind of cool.