For mathematicians, there is not much in the world whose reasoning cannot be substantiated with calculation. The beings that are in love with numbers and associations, view the world through a ...
The laws of physics that concern heat and work could gain a firmer mathematical footing thanks to “gauge theory”, which ...
During World War II, statistics helped the Allies estimate the number of enemy tanks, which proved essential in the decisive ...
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 week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the technology threatens math as a discipline. By Siobhan Roberts Recently there ...
Late physicist turned issue of when to stop searching for a better place to eat into mathematical problem When it comes to exploring a new city, it can be tricky to know when to stop searching for a ...
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 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 ...
“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 ...
An 80-year-old maths conjecture that has eluded the world’s greatest mathematicians has been cracked by an artificial intelligence model built by OpenAI. The result has stunned experts and is being ...
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