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 ...

Google featured an animated quadratic equation doodle on its homepage in India on Nov 12 The quadratic formula models parabolic paths like basketball shots in physics and engineering Clicking the ...

The ancient Babylonians were a remarkable bunch. Among many extraordinary achievements, they found a now-famous mathematical solution to an unpleasant challenge: paying tax. The particular problem for ...

Google's latest doodle in India celebrates the quadratic equation, ax² + bx + c = 0, showcasing its real-world applications in physics, engineering, sports, and business. The interactive feature, ...

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 ...