This paper presents two studies of an intervention designed to help undergraduates comprehend mathematical proofs. The intervention used multimedia resources that presented proofs with audio ...

Recent advances in machine learning have opened transformative avenues for investigating complex problems in string theory and geometry. By integrating sophisticated algorithms with theoretical ...

J. R. Brown, Philosophy of mathematics: an introduction to the world of proofs and pictures, Routledge (1999). 2. R. B. Nelsen, Proofs without words I: exercises in ...

Ben Weiss is a crypto reporter at Fortune. Zero-knowledge proofs allow one to prove one knows something without revealing what one knows. ZK-SNARKs. ZK-apps. ZK this. ZK that. These two letters, ...