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 ...

This is a preview. Log in through your library . Abstract Let 0 < θ < 1 be an irrational number with continued fraction expansion $\theta =[a_{1},a_{2},a_{3},\ldots ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...