For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the ...

Do you remember the early days of social media? The promise of connection, of democratic empowerment, of barriers crumbling and gates opening? In those heady days, the co-founder of Twitter said that ...

A method of near-minimax polynomial approximation is described. As a by-product, this method provides a formula for an estimate of the maximum error associated with a ...

Combinatorial optimisation is a fundamental field in applied mathematics and computer science that focuses on finding an optimal object from a finite set of objects. In this context, problems are ...

We present a new optimization-based method for aggregating preferences in settings in which each voter expresses preferences over pairs of alternatives. Our approach to identifying a consensus partial ...

For noncovalent interactions, the CCSD(T)-coupled cluster method is widely regarded as the “gold standard”. With localized orbital approximations, benchmarks for ever larger complexes are being ...

OpenAI recently unveiled its latest artificial intelligence (AI) models, o1-preview and o1-mini (also referred to as “Strawberry”), claiming a significant leap in the reasoning capabilities of large ...

Part of the DynGraphLab — Dynamic Graph Algorithms open source framework. Developed at the Algorithm Engineering Group, Heidelberg University. Python Interface: An easy-to-use Python interface for ...

Abstract: In this paper, we propose the Priority Facility Location Problem with Outliers (PFLPO), which is a generalization of both the Facility Location Problem with Outliers (FLPO) and Priority ...