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Articles by Phys Org

Math

2026 World Cup: Spain in the lead, but title race remains wide open

June 3, 2026 Phys Org

Ahead of major soccer tournaments, a research team led by Achim Zeileis of the University of Innsbruck and Andreas Groll of TU Dortmund University calculates the chances of winning for all participating teams. For the […]

Math

Mathematicians say ‘don’t believe hype’ on AI capabilities

June 2, 2026 Phys Org

Dozens of mathematicians signed a declaration Tuesday calling for the discipline to resist beating the drum for artificial intelligence developers.This article was originally published on this website.

Math

How a Richard Feynman formula could explain your dining habits in a new city

June 2, 2026 Phys Org

One of the dilemmas facing anyone in a new and unfamiliar city is where to dine out. You might consult guides, speak to locals, check reviews, and ultimately, try your luck. But if you’re there […]

Math

Mathematician solves origami donut efficiency challenge with fewest folds

June 1, 2026 Phys Org

Most people wouldn’t think that it would take rigorous mathematical proof to show how many folds it takes to make a donut shape out of paper. Yet, no one could quite figure it out until […]

Math

‘Shoot for the moon?’ Aim a bit lower, researchers say

May 29, 2026 Phys Org

How ambitious should you be? Folk wisdom offers conflicting advice: “Shoot for the moon,” but also, “Don’t let the perfect be the enemy of the good.” A new study by researchers at the University of […]

Math

An AI solution to an 80‑year‑old problem has shocked mathematicians

May 28, 2026 Phys Org

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary Hungarian mathematician Paul Erdős in 1946.This […]

Math

Researchers develop Bayesian inference for hidden dependence structures in multi-group high-dimensional data

May 26, 2026 Phys Org

In today’s scientific and industrial fields, high-dimensional data in which numerous variables are observed simultaneously, such as genomic, climate, financial, and sensor data, are rapidly increasing. In such data, it is important to learn the […]

Math

New mathematical model suggests global population crash by 2064

May 25, 2026 Phys Org

In a new open-access study that I published with my late colleague Kostya Trachenko from Queen Mary University of London, I propose a surprisingly simple nonlinear mathematical equation that unifies 12,000 years of human population […]

Math

Mathematicians solve decades-old mystery about the hidden order in high-dimensional randomness

May 24, 2026 Phys Org

Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel prize winner—that first posed the problem didn’t believe it would ever be solved. The solution provides insight into […]

Math

AI makes a major breakthrough in a math problem that had stumped experts for decades

May 22, 2026 Phys Org

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the planar unit distance problem. The question posed by the legendary Hungarian mathematician was, on […]

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