A straightforward conjecture about runners moving around a track turns out to be equivalent to many complex mathematical ...

Microscopic crystals extracted from meteorites could help settle a debate about the birth of our patch of the Milky Way.

Growing tissues can crack, break, and dissociate to form structures that can later withstand immense forces.

Baez called for the development of new mathematics — he called it “green” math — to better capture the workings of Earth’s biosphere and climate. For his part, he sought to apply category theory, a ...

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It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A broad new method can help settle this ancient question.

Physicists are reexamining a longstanding assumption: that big stuff consists of smaller stuff.

For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise.

Using a relatively young theory, a team of mathematicians has started to answer questions whose roots lie at the very beginning of mathematics. Climate science is the most significant scientific ...