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Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

A famed physicist’s scribbles reveal the answer to a quintessential dilemma: When dining out, is it better to stick with an old favorite, or try something new? Nobel Prize–winning physicist Richard ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

OpenAI’s latest artificial intelligence model has achieved a breakthrough that is attracting attention far beyond the technology industry after reportedly solving a mathematical problem that had ...

A recent announcement that an artificial intelligence model succeeded in solving a decades-old mathematical problem that had eluded generations of accomplished mathematicians was widely portrayed as ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Scientific American is part of Springer Nature, which owns or has commercial relations with thousands of scientific publications (many of them can be found at www ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

The National Council of Teachers of Mathematics makes the argument that teachers, principals, and district leaders must “stay up to date on current AI trends” to prepare students for the future. But ...

Many people struggle with conditional probability. It is common to memorize the formulas but get stuck when it comes to solving problems. The reason is simple: you are solving them while remaining ...

eInstitute of Medical Biostatistics, Epidemiology, and Informatics, University Medical Centre of Johannes Gutenberg University Mainz, Mainz, Germany fUniversity Cancer Center at University Medical ...