Abstract: Designing low-dimensional discrete maps with initial-dependent coexisting property is an attractive but challenging task. The coexisting property of a discrete map can be featured by initial ...

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 ...

The widespread adoption of digital technologies in all subject areas requires the development of new efficient and effective mathematical methods for digital signal processing. Two-dimensional (2D) ...

Sign up for our newsletter about national security here. When General Mark Milley outlined the U.S. Army’s future priorities in 2017, he said that new long-range ...

Random variables are a fundamental concept in probability and statistics, widely used in real-world decision-making and data analysis. In simple terms, a random variable is a numerical value that ...

For the first time, researchers have shown that self-assembled phosphorus chains can host genuinely one-dimensional electron behavior. Using advanced imaging and spectroscopy techniques, they ...

Physical systems become inherently more complicated and difficult to produce in a lab as the number of dimensions they exist in increases—even more so in quantum systems. While discrete time crystals ...

Most Americans aren't juggling a wallet full of credit cards. In fact, 30% of U.S. adults have just one credit card, and 24% have two, according to a Motley Fool Money research. I've talked to a lot ...

FORT LAUDERDALE, Fla., Jan. 22, 2026 /PRNewswire/ -- Spinal Resources Inc. received a Notice of Allowability from the United States Patent and Trademark Office Inc. expanding the usage of its Bezier ...

Forbes contributors publish independent expert analyses and insights. Dr. Lance B. Eliot is a world-renowned AI scientist and consultant. This voice experience is generated by AI. Learn more. This ...

Here’s what you’ll learn in this story: Time might actually have 3 dimensions. But it also means that the space would actually be one-dimensional, instead of the three dimensions we’re familiar with.

In 1919, physicist Theodor Kaluza hypothesized that extra dimensions might solve some outstanding problems in physics. And while we haven't found any evidence yet for anything outside our normal ...