Large language models face a fundamental computational limit that causes undetected errors in complex tasks. Hybrid AI ...

Imagine giving your home to your next-door neighbour for free, then paying them to park your car on the drive? It sounds like a Monty Python sketch, but thanks to PM Keir Starmer's woke-obsessed ...

With automated proof-checkers, a problem can be broken up into small chunks, solved bit-by-bit, then reassembled with confidence that every piece is correct. For some, this heralds a new area in ...

The source code for the paper L. Lu, P. Jin, G. Pang, Z. Zhang, & G. E. Karniadakis. Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators. Nature Machine ...

While the terms "quantitative finance," "computational finance," "mathematical finance" and "financial engineering" are often used interchangeably, there are subtle differences in their meanings.

Topics theorem, combinatorics, integers, advanced, set, integer, permutations, combinatorial, coefficients, advanced combinatorics, formal series, stirling numbers, combinatorial analysis, sur les, ...

Discovering Geometry, An Investigative Approach by Michael Serra Includes index Geometric art -- Introducing geometry -- Reasoning in geometry -- Using tools of geometry -- Discovering and proving ...

Edited by Ken A. Dill, Stony Brook University, Stony Brook, NY, and approved June 12, 2021 (received for review November 17, 2020) ...

Simple LaTeX templates for mathematical notes and Beamer slides. Tested on Overleaf with TeX Live 2022, 2023, and 2024. All note styles share the same commands and environments, so you can switch ...