Humans started counting tens of thousands of years ago, but when did they begin figuring out advanced arithmetic, algebra and even calculus? When you purchase through links on our site, we may earn an ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

Abstract: In this paper we present a new computational primitive for convolution using coupled oscillator arrays. It is based on a Degree of Match (DOM) operation for pairs of vectors of analog ...

The hazard produced by natural phenomena on infrastructure and urban populations has been widely studied in the last 50 years. Researchers have recognised that the real danger posed by these phenomena ...

Prime numbers—numbers divisible only by 1 and themselves—have long fascinated mathematicians. This year a researcher discovered the largest known prime number, with a whopping 41,024,320 digits. It ...

The original version of this story appeared in Quanta Magazine. David Bessis was drawn to mathematics for the same reason that many people are driven away: He didn’t understand how it worked. Unlike ...

ABSTRACT: The hazard produced by natural phenomena on infrastructure and urban populations has been widely studied in the last 50 years. Researchers have recognised that the real danger posed by these ...

A strange pattern running through the equations of physics may reveal something fundamental about the universe or could be a sign that human brains are biased to ignore more complex explanations of ...

AlphaProof and AlphaGeometry 2 are steps toward building systems that can reason, which could unlock exciting new capabilities. AI models can easily generate essays and other types of text. However, ...

There is a shape called “the hat” that can completely cover a surface without ever creating a repeating pattern. For decades, mathematicians had wondered whether a single tile existed that could do ...