Kinetic theory and mathematical modeling have emerged as indispensable tools for elucidating the collective behaviour of complex systems. This discipline applies statistical mechanics to a diverse ...

This article explores the potential of large language models (LLMs) in reliability systems engineering, highlighting their ...

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, ...

Associate Professor in Social and Environmental Uncertainties, University of Birmingham A dominant view in science is that there is a mathematical truth structuring the universe. It is assumed that ...

Artificial intelligence (AI) has reached the stage of directly proving complex mathematical theories beyond simple calculation. Google DeepMind researchers on the 13th published findings on the AI ...

Alan Veliz-Cuba has received funding from the Simons Foundation and the American Mathematical Society for some of his research. You can probably think of a time when you’ve used math to solve an ...

AlphaProof and AlphaGeometry 2 are steps toward building systems that can reason, which could unlock exciting new capabilities. AI models can easily generate essays and other types of text. However, ...

Large Language Models (LLMs) have ushered in a new era of artificial intelligence (AI) demonstrating remarkable capabilities in language generation, translation, and reasoning. Yet, LLMs often stumble ...

What if a machine could think as deeply as a human mathematician, solving problems so intricate they stump even the brightest minds? Enter Gemini Deep Think, an advanced AI model that has not only ...

In a landmark study, OpenAI researchers reveal that large language models will always produce plausible but false outputs, even with perfect data, due to fundamental statistical and computational ...