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 ...

Observing, gathering knowledge and making predictions are the foundations of the scientific process. The accuracy of our predictions depends on the quality of our present knowledge and accuracy of our ...

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 ...