This is a preview. Log in through your library . Abstract Using a Krasnoselskii-type fixed point theorem due to Burton [7], we discuss the existence of integrable solutions of general ...

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 ...

Here’s what you’ll learn when you read this story: A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help ...