I have a conceptual misunderstanding about Chapter 10 of Evans' book on PDEs. It seems the author wants to show that for convex Hamiltonians, the Ham...

From Wikipedia: In order to reflect normal usage, addition, subtraction, multiplication, and division operators are usually left-associative while an expo...

I have to solve this system $$ A^k x = b $$ using gaussian elimination with complete pivoting in matlab. How can I implement that in an efficient way?

So, this strange thought popped up into my head. You know how we call ${x^2}$ squaring due to the fact that what you're essentially doing is finding ...

I am trying to prove that $\lceil -x \rceil = -\lfloor x \rfloor$ using the following definitions: $y = \lceil x \rceil$ means $y \in \mathbb{Z} \land y \...

I have a problem that I know I am very close to the solution for, but I think I just need some more formatting to make it a really clean proof. The proble...

I encountered a problem today to prove that $(X_n)$ with $X_n = \cos(n!)$ does not have a limit (when $n$ approaches infinity). I have no idea how to do i...

In a given population, a score of X= 88 corresponds to z= +2.00 and a score of X= 79 corresponds to z= -1.00. Find the mean and standard deviation for the...

Here is the equation I'm working on: \begin{align} \begin{bmatrix}2a+b&a-2b\\5c-d&4c+3d\end{bmatrix} = \begin{bmatrix}4&-3\\11&24\end...

I was wondering about a property when Diagonalizing Matrices, so if we have the form A = C D C $^{-1}$ Then the matrix C must have linearly independent co...