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 ...
Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...
OpenAI's AI model solved the unit distance problem posed by Paul Erdos in 1946 The AI found a counterexample disproving Erdos's conjecture on unit-distance pairs The solution shows unit-distance pairs ...
Working memory is like a mental chalkboard we use to store temporary information while executing other tasks. Scientists worked with more than 200 elementary students to test their working memory, ...
βIf you are a mathematician,β one of the worldβs leading mathematicians recently wrote, βyou may want to make sure you are sitting down before reading further.β And youβll definitely need to sit down ...
OpenAI claims its model solved a famous geometry problem that has eluded the worldβs greatest mathematicians for 80 years β a breakthrough hailed as evidence of the botβs creativity and βintuition.β ...
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 ErdΕs in 1946. If this sounds ...
In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...
Little progress had been made in solving Ramsey problems since the 1930s. Now, researchers have found the answer to r(4,t), a longstanding Ramsey problem that has perplexed the math world for decades.
ποΈ Amazon Prime Day: The best deals chosen by our editors ποΈ By Andrew Paul Published Apr 20, 2026 5:00 PM EDT Add Popular Science (opens in a new tab) More information Adding us as a Preferred ...
π Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are ...
Some readers may solve the problem procedurally: line up the two numbers, add the ones column, carry the one, and add the tens to get 43. Others might instead notice a creative shortcut: 29 + 14 is ...
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