A standard piece of 8.5-by-11-inch (20-by-28-centimeter) paper is approximately 0.1 millimeter thick (as we’ll see in a ...

Theoretical physicist Professor Brian Greene rejoins WIRED to break down the emerging theories that tell us everything we ...

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

Abstract: In many real time scenarios, it becomes necessary to compare complex networks. Graph distances measure the degree of similarity between any two networks. We conjecture that construction of ...

Purpose: To evaluate the feasibility of an intraoperative optical coherence tomography angiography (iOCTA) system integrated with a surgical microscope, and further investigate the real-time retinal ...

You are free to share (copy and redistribute) this article in any medium or format and to adapt (remix, transform, and build upon) the material for any purpose, even commercially within the parameters ...

The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/jacs.1c13508. Details on the force fields, distance and adjacency matrices ...

Networks are one of the most common ways to represent biological systems as complex sets of binary interactions or relations between different bioentities. In this article, we discuss the basic graph ...

Edwin Hubble's classic article on the expanding universe appeared in PNAS in 1929 [Hubble, E. P. (1929) Proc. Natl. Acad. Sci. USA 15, 168–173]. The chief result, that a galaxy's distance is ...

We describe some new exactly solvable models of the structure of social networks, based on random graphs with arbitrary degree distributions. We give models both for simple unipartite networks, such ...