golem.ph.utexas.edu

Axioms for the Category of Finite-Dimensional Hilbert Spaces and Linear Contractions

The starting point was Chris, Andre and Nesta’s recent axiomatic characterisation of the category Con \mathbf{Con} of all Hilbert spaces and linear contractions, which in turn depends on Chris and ...
Quanta Magazine

AI Reveals New Possibilities in Matrix Multiplication

Mathematicians love a good puzzle. Even something as abstract as multiplying matrices (two-dimensional tables of numbers) can feel like a game when you try to find the most efficient way to do it.
IEEE

Greatest common divisor and its applications in security: Case study

Abstract: In this paper, we explain the importance and applications of the Greatest Common Divisor(GCD) in the field of security. GCD of two numbers is the greatest divisor that ultimately divides ...
golem.ph.utexas.edu

The Modular Flow on the Space of Lattices

The following is the greatest math talk I’ve ever watched! Etienne Ghys (with pictures and videos by Jos Leys), Knots and Dynamics, ICM Madrid 2006. [See below the fold for some links.] I wasn’t ...
Nature

Carrier multiplication between interacting nanocrystals for fostering silicon-based photovoltaics

A great challenge in modern science is the realization of clean, cheap and renewable energy sources, and the conversion of solar energy into electric current with high efficiency is one of the most ...