In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Physicist Albert Einstein famously posited that if he only had an hour to crack a daunting problem, he'd devote 55 minutes to understanding it and only five minutes to crafting a solution. Einstein ...

Abstract: The Vehicle Routing Problem with Multiple Soft Time Windows (VRPMSTW) is a challenging combinatorial optimization problem where a fleet of vehicles must deliver goods to a set of customers, ...

Google's Gemini 2.5 AI model recently showcased its capabilities by solving a complex problem that had confounded human programmers. In a competition held in Azerbaijan, this AI model became the first ...

Abstract: The increasing number of Photovoltaic (PV) inverters in the distribution system (DS) leads to significant dynamics on DS to consider. Solving the dynamics of DS integrated with PV inverters ...