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 ...
Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics. Reading time 10 minutes Will ...
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 ...
Add Yahoo as a preferred source to see more of our stories on Google. Published in Chaos, Solitons & Fractals, the study by Alessio Zaccone and the late Kostya Trachenko doesn’t predict population ...
This voice experience is generated by AI. Learn more. This voice experience is generated by AI. Learn more. Photo: Christophe Gateau/dpa (Photo by Christophe Gateau/picture alliance via Getty Images) ...
Use left and right arrow keys to seek audio. Microsoft has released a preview of Shader Model 6.10 in the new AgilitySDK 1.720-preview build. The update brings several changes, including tweaks to ...
Isolating the first spark of life on Earth is a matter of biology, geology, and chemistry—but it's also an amazing math problem. At least, that's how Varun Varanasi viewed it when he was a Yale ...
New research is significantly revising a widely cited evolutionary model, the Inhibitory Cascade Mode (ICM). Benjamin Auerbach, professor in the Department of Ecology and Evolutionary Biology at the ...
GRAND FORKS — The North Dakota Department of Public Instruction has partnered with national education nonprofit New Classrooms Innovation Partners to design a new, statewide math model. In December ...