Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major problem in algebraic geometry. Other mathematicians had their doubts. Now he says ...

Practical anonymous credential systems are generally built around sigma-protocol ZK proofs. This requires that credentials be based on specially formed signatures. Here we ask whether we can instead ...

Scalar Magnitudes are quantities that conserve their value and form under transformations of translation and rotation, or changes between coordinate systems (Cartesian, polar, spherical, etc.) ...

To run the examples with OCaml, be sure to install Opam with these instructions. These examples use the new effect syntax introduced with OCaml 5.3 and onwards. If you wish to see the examples which ...

Michael Boyle is an experienced financial professional with more than 10 years working with financial planning, derivatives, equities, fixed income, project management, and analytics. Timothy Li is a ...

Can artificial intelligence allow computers to ensure safe autonomous systems and advance optimization? Two Princeton professors believe it can, and they received a research grant earlier this year to ...

The Probabilistically Checkable Proofs (PCP) Theorem (Arora-Safra, Arora-Lund-Motwani-Szegedy-Sudan, 1992) states that every mathematical proof can be written in a format that allows probabilistic ...

THE value of such a book is great both to teachers and students. The former, as we have often pointed out, have scant leisure for working out the more elaborate questions which nowadays have place ...

The Langlands program has been described by mathematician Edward Frankel as the “grand unified theory of mathematics.” Conceived by Robert Langlands in 1967, the program includes numerous conjectures ...

Two US college students, who discovered a new way to prove Pythagoras' famous 2,000-year-old theorem in 2022 have now come up with five different ways of solving the problem using trigonometry. Their ...

Two teenagers found ten new proofs of the Pythagorean theorem using trigonometry, debunking a century-old belief. Calcea Johnson and Ne’Kiya Jackson were St. Mary’s Academy students in New Orleans and ...