(Phys.org) —A Victoria University mathematician has experienced his own eureka moment, solving a 40 year-old mathematical problem. Professor Geoff Whittle, from Victoria's School of Mathematics, ...
OpenAI's AI helped overturn a longstanding math conjecture by finding a counterexample, highlighting a powerful new way to ...
Monstrous moonshine, a quirky pattern of the monster group in theoretical math, has a shadow - umbral moonshine. Mathematicians have now proved this insight, known as the Umbral Moonshine Conjecture, ...
They made some progress, re-proving the conjecture in two dimensions using different techniques—ones they hoped would be applicable to the three-dimensional case. But then they hit a wall. “At some ...
Despite multiple conferences dedicated to explicating Mochizuki’s proof, number theorists have struggled to come to grips with its underlying ideas. His series of papers, which total more than 500 ...
Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...
An OpenAI model disproved the 80-year-old Erdős unit distance conjecture, and Google DeepMind's AlphaProof Nexus solved nine more open problems days later. Together, these AI math breakthroughs mark a ...
Despite their successes, machine learning techniques are often stochastic, error-prone and blackbox. How could they then be used in fields such as theoretical physics and pure mathematics for which ...
MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in 2000. They’re not easy – a correct solution to any one results in a ...
The last dimension of Keller's conjecture has been proven using a computer algorithm. The conjecture involves the way hypercubes in different dimensions share sides when tiled. The proof is ...
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