Hi. So my first year of university was good. I had a 3.7/4 gpa then. Then, I transferred to another university and my marks dropped significantly (for certain reasons, not all of which were entirely my fault). My gpa in my second year was 2.88/4. Now, I'm in my 3rd year, first semester, and I...
I would like to find an expression for the fixed points, if they exist. If they happen to not exist, then I would like a proof of that.
It isn't really a homework question, the prof just asked us to think about finding the fixed points of e^x. The thing is though, the course doesn't assume we...
Homework Statement
How would one go about finding the fixed points of e^z, where z is complex (i.e. all z s.t. e^z = z)? Homework Equations
Nothing.
The Attempt at a Solution
I've considered all the relevant formulas (de Moivre's forumla, power series, z = re^i*theta, ...).
For some reason...
If you've got an inner product in that vector space, maybe you can check whether <Mx, x> > 0 for all x in the space. This implies that a matrix is positive definite in a finite dimensional space (if by positive definite you mean hermitian with non-negative eigenvalues). Not sure if it works in...