As he was brushing his teeth on the morning of July 17, 2014, Thomas Royen, a little-known retired German statistician, suddenly lit upon the proof of a famous conjecture at the intersection of ...

Cover for "Automated Inequality Proving and Discovering." Disclaimer: AAAS and EurekAlert! are not responsible for the accuracy of news releases posted to EurekAlert! by contributing institutions or ...

Automated theorem proving in geometry systems unites symbolic logic, computer algebra and machine learning to verify and discover geometric propositions without human intervention. Historically rooted ...

What happens when things combine? This question lies at the heart of the Borell-Brascamp-Lieb inequality (BBL), a mathematical relation widely applied across many fields of mathematics, science and ...

Convex geometry studies the structural and metric properties of convex sets in Euclidean spaces, with an emphasis on how volume, surface area and other geometric measures interact under elementary ...

Study enables deeper understanding of the Borell-Brascamp-Lieb inequality, which has wide applications across many scientific fields, from physics to economics. What happens when things combine? This ...