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Mathematics

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A Power Law Keeps the Brain’s Perceptions Balanced

October 22, 2019

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

October 21, 2019

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

October 14, 2019

Playing with a simple bean machine illustrates how deterministic laws can produce probabilistic, random-seeming behavior.

With Category Theory, Mathematics Escapes From Equality

October 10, 2019

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’

October 2, 2019

Researchers finally seem to have a quantum computer that can outperform a classical computer. But what does that really mean?

Solution: ‘Perfect Randomness’

September 27, 2019

Is nature inherently random or is perfect randomness just an illusion based on our ignorance?

Big Question About Primes Proved in Small Number Systems

September 26, 2019

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

September 23, 2019

The way you learned to multiply works, but computers employ a faster algorithm.

A Mathematical Model Unlocks the Secrets of Vision

August 21, 2019

Mathematicians and neuroscientists have created the first anatomically accurate model that explains how vision is possible.

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