In just a few months, voters across America will head to the polls to decide who will be the next U.S. president. A new study draws on mathematics to break down how humans make decisions like this one.
Category: mathematics – Page 36
The Potential for AI in Science and Mathematics — Terence Tao
Terry Tao is one of the world’s leading mathematicians and winner of many awards including the Fields Medal. He is Professor of Mathematics at the University of California, Los Angeles (UCLA). Following his talk, Terry is in conversation with fellow mathematician Po-Shen Loh.
The Oxford Mathematics Public Lectures are generously supported by XTX Markets.
The link between fuzzy images and quantum fields
Mathematical solutions to thorny quantum problems can be found more quickly by exploiting the correspondence between the statistical methods used in deep learning and techniques for implementing quantum simulations, a team led by a RIKEN researcher has shown in a new study published in the Journal of High Energy Physics.
Donald Hoffman — Consciousness, Mysteries Beyond Spacetime, and Waking up from the Dream of Life
Professor Donald Hoffman is a cognitive neuroscientist and the author of more than 90 scientific papers and three books, including Visual Intelligence and The Case Against Reality.
He is best known for his theory of consciousness, which combines evolutionary theory with mathematics to make a compelling case that the reality we see every day is an illusion created by our minds.
In this conversation, we explore:
— The groundbreaking scientific research being conducted by physicists into the “structures” beyond spacetime.
— Donald’s theory of conscious agents.
— The implications his theory of consciousness has for our understanding of the purpose of life.
Study reveals soliton solutions in Maxwell-Bloch systems
Dr. Asela Abeya, of SUNY Poly faculty in the Department of Mathematics and Physics, has collaborated with peers at the University at Buffalo and Rensselaer Polytechnic Institute on a research paper titled “On Maxwell-Bloch systems with inhomogeneous broadening and one-sided nonzero background,” which has been published in Communications in Mathematical Physics.
David Spivak: Pioneering Math for Understanding Reality | AGI-24 Keynote Preview
Mathematics application to a new understanding thd world and life and information.
Dr. David Spivak introduces himself as a keynote speaker at the 17th Annual Artificial General Intelligence Conference in Seattle and shares his lifelong passion for math. He discusses his journey from feeling insecure about the world as a child, to grounding his understanding in mathematics.
Dr. Spivak is the Secretary of the Board at the Topos Institute and on the Topos staff as Senior Scientist and Institute Fellow, following an appointment as founding Chief Scientist. Since his PhD from UC Berkeley in 2007, he has worked to bring category-theoretic ideas into science, technology, and society, through novel mathematical research and collaboration with scientists from disciplines including Materials Science, Chemistry, Robotics, Aeronautics, and Computing. His mission at Topos is to help develop the ability for people, organizations, and societies to see more clearly—and hence to serve—the systems that sustain them.
For more information and registration, please visit the Conference website: https://agi-conf.org/2024/
#AGI #AGI24 #AI #Mathematics.
‘Sensational breakthrough’ marks step toward revealing hidden structure of prime numbers
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Just as molecules are composed of atoms, in math, every natural number can be broken down into its prime factors—those that are divisible only by themselves and 1. Mathematicians want to understand how primes are distributed along the number line, in the hope of revealing an organizing principle for the atoms of arithmetic.
“At first sight, they look pretty random,” says James Maynard, a mathematician at the University of Oxford. “But actually, there’s believed to be this hidden structure within the prime numbers.”
For 165 years, mathematicians seeking that structure have focused on the Riemann hypothesis. Proving it would offer a Rosetta Stone for decoding the primes—as well as a $1 million award from the Clay Mathematics Institute. Now, in a preprint posted online on 31 May, Maynard and Larry Guth of the Massachusetts Institute of Technology have taken a step in this direction by ruling out certain exceptions to the Riemann hypothesis. The result is unlikely to win the cash prize, but it represents the first progress in decades on a major knot in math’s biggest unsolved problem, and it promises to spark new advances throughout number theory.
The Answer to the Final Parsec Problem Is Suddenly Within Reach. And It May Change Science
A discrepancy between mathematics and physics has plagued astrophysicists’ understanding of how supermassive black holes merge, but dark matter may have the answer.
The sun could capture rogue planets from 3.8 light years away
A mathematical model suggests there is an unusual region of space where objects can get pulled into the sun’s orbit – meaning we may have to redraw the boundary of the solar system.