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News
A 50-year-old computer-assisted proof
3+ day, 13+ hour ago (254+ words) The idea of using computers to assist with proofs is not new. The first major computer-assisted proof was published in 1976, the proof of the four color theorem by Kenneth Appel and Wolfgang Haken. The authors reduced the proof of the…...
Heisuke Hironaka obituary: mathematician who smoothed out geometry’s complexities
2+ week, 1+ day ago (217+ words) His awe-inspiring proof for the resolution of singularities — such as peaks, edges and self-crossings — revolutionized algebraic geometry....
Art helped this astrophysicist make sense of math
2+ week, 5+ day ago (1427+ words) Theoretical physicist Ronald Gamble uses math to study how black holes warp the shape of spacetime. Sometimes, he pictures himself as Marvel’s Iron Man. “I feel like Tony Stark every other day.” When Ronald Gamble first learned about black holes…...
What If AI Could Discover a New Scientific Law?
2+ week, 5+ day ago (409+ words) For most of history, scientific discoveries came from humans. Someone noticed something unusual, asked a question, tested an idea, and slowly built an explanation. But AI is changing how we approach science. So I started wondering: What if AI discovered…...
Breaking the Matrix: How a New Mathematical Tower Solves the Infinite Scaling Problem
1+ mon, 1+ day ago (474+ words) How combining prime number theory with tensor algebra unlocks a matrix-free blueprint for infinite networks Have …...
Why a “Simple” Physics Idea Became a Million-Dollar Math Mystery
1+ mon, 2+ day ago (34+ words) Fluid flow is something we see in daily life. For example, smoke rising from a candle, milk mixing into coffee, or air moving as …...
Retium Deep Dive Series Week 03 Understanding Proof of Math
1+ mon, 2+ day ago (991+ words) Introduction Every blockchain needs a way to determine what is valid. When a transaction enters a decentralized network, independent …...
AI model helps physics Nobel laureate out of a decade-old mathematical jam – Physics World
1+ mon, 5+ day ago (395+ words) The problem that kept Francesco Zamponi and Giorgio Parisi awake at night originates in the field of complex systems and relates to a phenomenon known as jamming. “Jamming describes a sudden transition at which a fluid system becomes completely rigid,…...
Baum???Connes Conjecture Without Coefficients
1+ mon, 6+ day ago (769+ words) Exact unitary and projection relations are lifted to the full group algebra of the table group, together with a support-dependent almost-unitary bound. An exact table presentation, quotient-fiber counts, and a degree-one crossed-product reduction are given for a specific five-point support....
Ask me anything: Kristian Dominek Barajas – ‘I’m able to take a really complicated problem and give it my best guess’ – Physics World
1+ mon, 1+ week ago (194+ words) Kristian Dominek Barajas is head of quantum theory at Oxford Ionics, an IonQ company Because I’m relatively new to the field, I often have to break difficult questions down into simpler ideas before I can grapple with them. That has…...