To convert an AND into an XOR, I can do: AND(NOT(AND(A,B)), NOT(AND(NOT(A), NOT(B)))) $$\neg(A∧B)∧\neg (\neg A∧ \neg B)$$ How could I convert an AND into ...

If we have $(X \times Y, \overline{\Sigma \times \tau}, \lambda)$ a complete measure space with underlying complete spaces $(X, \Sigma, \mu)$ and $(Y, \ta...

One Escher's prints look like this. A similar one is this. These look suspiciously like Poincaré half-plane models of the hyperbolic plane (there are...

The odds of winning in a game are 1 out of 20,000. How many times would one have to play the game in order to be sure they would win? Let n be the number ...

I read this article about how Knight's Tours in Chess could be found with a neural network, so as a programming exercise I tried implementing it. Wha...

The basic equation for a straight line is $y = mx + b$, where $b$ is the height of the line at $x = 0$ and $m$ is the gradient. The basic equation for a c...

I have read that there are two 'options' for an adjoint when dealing with Hilbert spaces. Let $T : X \to Y$ be a bounded linear operator between...

I was reading a note from guardian.uk called What lurks beneath a scientist's lab coat?, a little gallery of geeky-tattoos. However, number 11 in the...

On page 220 of Peter Engel's Geometric Crystallography, he describes a 38-sided convex polyhedron that can fill space. I've seen this this accep...

This graph is supposed to be of form $a\cos(bx+c)+d$. I'm pretty sure that $a$, the amplitude, is $|2|$ and $b$, the period ($\frac{2\pi}{b}$), is $\...