We are learning vectors in class and I have a question about parallel lines and coincident lines. According to wikipedia a parallel line is: Two lines in ...

Let $P\to M$ be a $\mathrm{SU}(2)$-principal bundle over a closed connected manifold $M$. Let $A$ be a flat connection on $P$, fix $x\in M$ and let $H:=\m...

Quite often in algebraic topology I see the word "preferred" come up (online) but I have not seen a definition for it anywhere. As an example the solution...

Let $[-1,1] \times [-1,1]$ the unit square, Im thinking in compute the extreme values at the frontier of the unit circle. So I describe each face of the u...

I am confused with the definition of a primary ideal. The definition states that if $R$ is a commutative ring then $I$ is called a primary ideal of $R$ is...

I skipped Algebra I in school, and we have Mathematics midterms next week. While going through our review packet, I noticed graphing absolute values, some...

I have this function: $$f(t)=\left | \cos\Bigl(\frac{2\pi t }{T}\Bigr) \right |$$, for $$\left | t \right |\leq \frac{5T}{4}$$ and zero otherwise. I have ...

I have just started self-learning Stochastic Processes by Sheldon Ross (2nd Edition). I am finding the exercises really tough and time-consuming. I even t...

I use “Desmos” app on my Android to plot functions. Is there any app by which I can draw rectangle on the graphs like this:

Right now I am studying Partial Derivative in my university, but I am confused in its basic topic; Multi-variable Functions More specifically, I am having...