I don't know if it was asked before, didn't find anything using the search. How do I compute the power of the DFT matrix: $DFT^k$ for $k \in \ma...

On my algebra course, sometimes we write, say $$f \in R[X], f= X^2 + X + 1$$ And sometimes we treat polynomials as functions, so $$ f(x) = x^2 + x + 1$$ W...

I don't have a fundamental understanding of what taking a derivative means and I don't understand why would we do it. I just know how to mechani...

I saw somewhere that there are no sets between $\mathbb Q$ and $\mathbb R$ in the sense that there are no set $S\subset \mathbb R$ s.t. $|\mathbb Q|<|S...

since $\sin^{-1}(x)$ is the opposite of $\sin(x)$ I think this should be true. however when I input some test numbers into the calculators, sometimes it s...

So I was just given the definition of a signature: A signature is a pair $\Sigma = (\Omega, \Pi)$ where $\Omega$ is a set of operation symbols $\omega$, e...

Refer to the graph below: The points $(3,0)$, $(x,0)$, $(x, \frac{1}{x^2}),$ and $(3, \frac{1}{x^2})$ are the vertices of a rectangle where x $\ge$ 3, as ...

A "scalene triangle" is a triangle with three unequal sides. As far as I can tell, this term is not in much use in serious mathematics — in fact, before I...

The theorema egregium demonstrates that the Gaussian curvature, $K$, is an intrinsic property. What I think this means is that if you know the metric corr...

Draw the function $$ f(x)=2x^4+3x^3-2x+8 $$ into a cartesian plane. How to measure the exact length of that curve from $x=2.2$ to $x=33.64$ ? Is it true t...