Back to school time again. As I'm discussing all the mathy stuff and insights gained over the summer, I cannot help but notice that many of my peers ...

I am fairly sure this is a silly question, but a Google search was insufficient to find a satisfactory answer. If I differentiate some function of $x$ wit...

The Wikipedia article on the proof of Fermat's Last Theorem has this sentence If the link identified by Frey could be proven, then in turn, it would ...

$$ X(Y+Z) = (XY) + (XZ) $$ I can’t seem to derive the proper steps to prove this equation using Boolean axioms. The hint I’ve been given is using demorgan...

$G$ be a graph with $v$ vertices and $e$ edges.Let $M$ be maximum degree of the vertices of $G$, and let $m$ be the minimum degree of the vertices $G$.Sho...

What is the way to calculate the centroid of polygon? I have a concave polygon of 16 points, and I want know the centroid of that. thanks

I'm not sure how to prove this is a rational number $\frac{q}{m}$, can some one show me? $$\frac{q}{m}=\frac{(\frac{1+\sqrt5}{2})^n - (\frac{1-\sqrt5...

In my research I came across the following derivation of the cubic formula that was almost complete. However at the end it says to make the substitution $...

For a finite dimensional vector space, $V$, and linear transformation, $T$, what is the relationship between the nullity of $T$ and the nullity of $T^2$? ...

Express $\cos(\tan^{-1}(x))$ in terms of $x$. My Attempt: Let $\tan^{-1}(x)=A$. $$x=\tan (A)$$ Then, $$\cos(\tan^{-1}(x))=\cos (A)$$