Consider a convex optimization problem (call it $P$). Consider its dual (call it $D$). Is it true that the dual of $D$ is $P$? For linear programming, it ...

I have a question that I'm working on, and I have solved the question on my own terms, however I don't understand the solution that was provided...

What is the idea behind defined a Projective system of Groups/Rings. In our class an example for the Projective system was given by Taking the Ring $\math...

Can anybody be kind enough to explain what exactly is a super palindrome? Also consider the following example : $923456781-123456789=799999992:9=88888888$...

I have a signal $f(x,y)$, which is discrete. I convolve this signal with a kernel $h(x,y)$: $y(x,y) = f(x,y) \star h(x,y)$ (where $\star$ is the convoluti...

I realized that in various mathematics textbooks, they all used the LaTeX style in mathematical equations. What software is used? I know if copy-paste fro...

Can we find the derivative of the inverse of a function implicitly by finding the derivative of the original function? For example lets say I have $f(x) =...

Why is it that $2\times 0 = 0$, but $2^0= 1$? I don't understand the reason behind it. If anyone explain it then it will be very appreciated. I know ...

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 ...

Problem: For what integer $a$ does $x^2-x+a$ divide $x^{13}+x+90=P(x)$? I am struck at this one. I can't think of a good method (using little computa...