The Arithmetic-Geometric Mean Inequality Suppose that x and y are non-negative real numbers, not necessarily distinct. The famous arithmetic-geometric mean inequality says that:
Problems with infinity* I had the pleasure of witnessing this interaction the other day: two kids were locked in a battle of wits to see who could think of the…
Proving Arrow’s Impossibility Theorem Let’s prove the result behind why group decisions, from democracy to take-away choice, are always flawed.
The Mathematical Center of the Universe The inception of quantum mechanics can essentially be traced back to a single “Golden Age” in the mid-1920s at one university: the Georg-August University of Göttingen, in the city of Göttingen in Germany.
Richard Feynman on the Differences between Mathematics and Physics “I would like to make a number of remarks on the relation of mathematics and physics”