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A Power Law Keeps the Brain’s Perceptions Balanced
Researchers have discovered a surprising mathematical relationship in the brain’s representations of sensory information, with possible applications to AI research.
Mathematicians Begin to Tame Wild ‘Sunflower’ Problem
A major advance toward solving the 60-year-old sunflower conjecture is shedding light on how order begins to appear as random systems grow in size.
How Randomness Can Arise From Determinism
Playing with a simple bean machine illustrates how deterministic laws can produce probabilistic, random-seeming behavior.
With Category Theory, Mathematics Escapes From Equality
Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly.
Why I Called It ‘Quantum Supremacy’
Researchers finally seem to have a quantum computer that can outperform a classical computer. But what does that really mean?
Solution: ‘Perfect Randomness’
Is nature inherently random or is perfect randomness just an illusion based on our ignorance?
Big Question About Primes Proved in Small Number Systems
The twin primes conjecture is one of the most important and difficult questions in mathematics. Two mathematicians have solved a parallel version of the problem for small number systems.
On Your Mark, Get Set, Multiply
The way you learned to multiply works, but computers employ a faster algorithm.
A Mathematical Model Unlocks the Secrets of Vision
Mathematicians and neuroscientists have created the first anatomically accurate model that explains how vision is possible.