Let ent denote topological entropy, and let $C'r(S^1, S^1)$ denote the space of continuous functions of the circle to itself having $r$ continuous derivatives with ...

What's an intuitive way to understand entropy? originally appeared on Quora: the knowledge sharing network where compelling questions are answered by people with unique insights. Answer by Mark ...

Shock waves should not be shocking—engineers across scientific fields need to be able to precisely predict how the instant and strong pressure changes initiate and dissipate to prevent damage. Now, ...