The original version of this story appeared in Quanta Magazine. One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling ...

Computational complexity and equilibrium analysis form an interrelated field at the crossroads of theoretical computer science and game theory. Researchers in this area investigate the intrinsic ...

Language in Society, Vol. 6, No. 2 (Aug., 1977), pp. 149-181 (33 pages) The linguistic foundation of Bernstein's code theory is tested in a bi-dimensional sociolinguistic investigation. Not only class ...

We obtain the optimal order of high-dimensional integration complexity in the quantum computation model in anisotropic Sobolev classes $W_\infty ^r\left( {{{[0,1]}^d ...