We investigate here the representability of integers as sums of triangular numbers, where the n-th triangular number is given by Tn = n(n+1)/2. In particular, we show ...

Let (H, R) be a triangular Hopf algebra and let V be a finite-dimensional representation of H. Following Manin we imitate the standard algebraic constructions in order to define the relativized ...

The earliest known evidence for the Pythagorean Theorem comes from an ancient clay tablet called, “IM 67118.” This tablet uses the theorem to determine the length of a diagonal within a rectangle, and ...

This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American On this very special Valentine’s Day episode ...