Montgomery happened to find strikingly similar behavior in the prime numbers— specifically, the correlations between the ...

Prime numbers are sometimes called math’s “atoms” because they can be divided by only themselves and 1. For two millennia, ...

Conspecific negative density dependence (CNDD) has been considered a cornerstone of species coexistence in highly diverse ...

Abstract: The stochastic nature of renewable energy sources (RESs) necessitates treating power system frequency response as a random process with a nonstationary probability density function (PDF).

Abstract: This paper introduces a digital twin modeling method for hydropower systems with Kaplan turbines using probability density function (PDF) shaping. We first use multilayer perceptron (MLP) ...

In this important work, the authors present a new transformer-based neural network designed to isolate and quantify higher-order epistasis in protein sequences. They provide solid evidence that higher ...

Daniel Liberto is a journalist with over 10 years of experience working with publications such as the Financial Times, The Independent, and Investors Chronicle. Robert Kelly is managing director of ...

Trained on quantum data, a new model makes computations more accurate while keeping computer costs low ...

SURPRISE, Ariz. (KPHO/Gray News) - Authorities in Arizona say an 18-year-old man who was found in the same bed as a naked 14-year-old girl is facing molestation charges. According to court documents, ...

Growing up, when Dakota and Elle Fanning played make believe, both of them knew who was in charge. “I was the top dog no matter what,” says Dakota. “She was the groom, I was the bride. I was Anna ...

Trying to document how single brain cells participate in networks that govern behavior is a daunting task. Brain probes ...

OREM, Utah (AP) — The shooter who assassinated conservative activist Charlie Kirk and then vanished off a roof and into the woods remained at large more than 24 hours later Thursday as federal ...