We will prove the following theorem which gives an alternate proof to the Erdős-Hanani conjecture.

Consider a system with K arms, arm $i$ yielding a payoff $X_{i}$, according to the distribution $P_{i}$.

We shall discuss classical rate distortion, i.e., message compression with a distortion criterion, in the one-shot setting with and without side information at the decoder. The rate distortion problem with side information at the decoder is also c

Non-commutative algebraic circuits are those in which the variables do not commute under multiplication. Additionally, a circuit is called monotone if it does not use subtractions or negative constants.

This would be an elementary and concrete introduction to classical projective geometry. We'd start with Euclidean geometry of points, lines and circles.