Two mathematicians have proved that a straightforward question—how hard is it to untie a knot?—has a complicated answer.

Animals from completely different branches of the tree of life, such as insects, worms and vertebrates, independently evolved ...

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Physics can feel inscrutable to students; this lesson helps them understand a graphing problem by analyzing their own ...

DeepMind’s AlphaEvolve helps solve a math puzzle with Terence Tao, showing how AI can now invent new ideas—and prove old ones ...

Researchers have combined the Dijkstra and Bellman-Ford algorithms to develop an even faster way to find the shortest paths ...

Sending bitcoin is as easy as choosing the amount to send and deciding where it goes. The exact procedure for doing so will depend on the type of Bitcoin wallet you are using, but the main thing you ...