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 ...

A conjecture in geometric probability about the asymptotic normality of the r-content of the r-simplex, whose r + 1 vertices are independently uniformly distributed random points of which p are in the ...

We introduce the Aleksandrov--Fenchel inequality, apply it to a tail bound for Gaussian processes, and speculate on a further connection. Journal Information The Institute of Mathematical Statistics ...

The last several years have witnessed a significant intensification of the connections between probability (e.g., random walks and percolation) and ergodic theory, especially in treating questions ...

Grigori Perelman electrified the mathematical world 3 years ago with his claim to have solved one of the most famous problems in mathematics (SN: 6/14/03, p. 378: If It Looks Like a Sphere…). The ...

"Yes or no: was there once life on Mars?" I can't say. "What about intelligent life?"' That seems most unlikely, but again, I can't really say. The simple yes-or-no framework has no place for shadings ...

We all love a mathematical brainteaser here at IFLS. Monty Hall? Done it mate. Two circles shoved into a quadrilateral of unknown size? Been there, solved that. Some Singaporean kids’ seemingly ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...