A study published in Nature Physics provides new molecular-level evidence from simulations that liquid water is not a single uniform substance, but a constantly shifting mixture of two distinct ...

† State Key Laboratory of Supramolecular Structure and Materials, College of Chemistry, Jilin University, Changchun 130012, P. R. China ‡ College of Pharmacy, Jilin University, Changchun 130021, P. R.

Abstract: In this paper, we propose a new wideband digital receiver based on the modulated wideband converter (MWC) discrete compressed sampling (CS) structure, and we further propose a uniform linear ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Hungarian mathematician Paul Erdős’ ‘planar unit distance conjecture’ has stood since 1946 – but an AI disproof has made mathematicians pay attention.

From fundamental sciences to economics and industry, discrete optimization problems are ubiquitous. Yet, their complexity often renders exact solutions intractable, necessitating the use of ...

Abstract: A key challenge to make effective use of evolutionary algorithms (EAs) is to choose appropriate settings for their parameters. However, the appropriate parameter setting generally depends on ...

The universe's invisible dark matter might swirl into spinning clumps laced with countless tiny vortices, new theoretical work suggests. The findings, published May 30 in the journal Physical Review D ...

1 College of Science, North China University of Science and Technology, Tangshan, China. 2 Hebei Provincial Key Laboratory of Data Science and Applications, North China University of Science and ...

This paper develops a dynamic model of retail competition and uses it to study the impact of the expansion of a new national competitor on the structure of urban markets. In order to accommodate ...

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