OpenAI has revealed a breakthrough proof that overturns a nearly 80-year-old geometry conjecture posed by Paul Erdős.

An 80-year-old challenge in geometry has been cracked by mathematicians working for the tech firm Open AI using a single prompt from an AI chatbot. The company has not revealed all the precise details ...

The same method is used for adding and subtracting numerical fractions or algebraic fractions. Find a common denominator Write each fraction as an equivalent fraction with that common denominator ...

Quadratic stochastic operators (QSOs) are nonlinear mappings that describe the time evolution of probability distributions across a finite set of states. Originating in population genetics and ecology ...

Khadija Khartit is a strategy, investment, and funding expert, and an educator of fintech and strategic finance in top universities. She has been an investor, entrepreneur, and advisor for more than ...

Abstract: The traveling salesman problem (TSP), a classic combinatorial optimization problem, has been extensively studied for many years. Recently, the Multi-solution Traveling Salesman Problem ...

Abstract: In this contribution the authors propose a hybrid Boundary Element Method – Physics Informed Neural Networks (BEM – PINN) approach, to be used for the resolution of partial differential ...