Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach. In 2012, the mathematician Shinichi Mochizuki claimed he had solved the abc conjecture ...

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 ...

What is the shortest route to the next stop or the agreed meeting point? Global positioning systems (GPS) have become a routine part of everyday life for most people. Until now, however, the minimum ...

In 1963, the mathematician Roy Kerr found a solution to Einstein’s equations that precisely described the spacetime outside what we now call a rotating black hole. (The term wouldn’t be coined for a ...

In blockchain development, there is a rule of thumb that only two of scalability, security, and decentralization are valid simultaneously. However, the mathematical expression of that rule was still a ...

Study enables deeper understanding of the Borell-Brascamp-Lieb inequality, which has wide applications across many scientific fields, from physics to economics. What happens when things combine? This ...

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Computers make it possible for a mathematical proof to run as long as several thousand full-length novels combined. But human beings alone cannot verify such immense proofs. That, according to Ian ...

Two US high schoolers believe they have cracked a mathematical mystery left unproven for centuries. Calcea Johnson and Ne'Kiya Jackson looked at the Pythagorean theorem, foundational to trigonometry.

This commentary is published in coordination with the 2025 Global Security Forum, of which Defense One is a media partner. The AI-powered weapons and systems that the Pentagon is racing to build will ...

As a rule, GPS indicates our location with an accuracy of just a few meters. But we have all experienced situations where the possible error increases to a few ...

Over their holiday break, most high school students relax, kick back and watch TV, visit with family, maybe take a trip. But on this last winter holiday, two New Orleans seniors at St. Mary’s Academy ...