Recent progress in quantum computing has enabled the development of systems with tens of reliable logical qubits, built from thousands of noisy physical qubits 1. Nonetheless, many essential ...

Axiomatic thinking represents one of humanity's most influential intellectual tools—a systematic approach to building knowledge that has revolutionized mathematics, computer science, physics, and ...

The Provenance Ontology (PROV-O) is a World Wide Web Consortium (W3C) recommended ontology used to structure data about provenance across a wide variety of domains. Basic Formal Ontology (BFO) is a ...

With the recent explosion in the amount, the variety, and the dimensionality of available data, identifying, extracting, and exploiting their underlying structure has become a problem of fundamental ...

Laboratory of Computational Science and Modeling, IMX, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland National Centre for Computational Design and Discovery of Novel Materials ...

Algorithms that decompose a manifold into simple pieces reveal the geometric and topological structure of the manifold, showing how complicated structures are constructed from simple building blocks.

A geometric torus is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle. The standard parametrization of a geometric torus maps ...

A few of us here at the Café decided that it would be good to have a short series of posts in which each of us (at least, each of us who wants to) says something about his overall take on higher ...

One of the best things about the n-Category Café is the willingness of its clientele to re-examine notions that are usually thought of as too basic to bother with — things that you might think were ...