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mathematics

insights puzzle

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.

foundations of mathematics

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.

Quantized Columns

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?

An illustration of a sunset beach scene turned into a puzzle.
insights puzzle

Solution: ‘Perfect Randomness’

September 27, 2019

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

Colored spheres arranged in pairs.
prime numbers

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.

Two competitors are racing to solve the multiplication problem 25 times 63 in two separate lanes of a running track. One competitor is using the standard multiplication algorithm while the other is using Karatsuba method.
Quantized Academy

On Your Mark, Get Set, Multiply

September 23, 2019

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

An illustration of eyeballs connected to many hands painting the Mona Lisa.
mathematical biology

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.

An illustration of a sunset beach scene turned into a puzzle.
insights puzzle

The Puzzling Search for Perfect Randomness

August 20, 2019

Does objective, perfect randomness exist, or is randomness merely a product of our ignorance?

A dartboard with pi at its center.
number theory

New Proof Settles How to Approximate Numbers Like Pi

August 14, 2019

The ancient Greeks wondered when “irrational” numbers can be approximated by fractions. By proving the longstanding Duffin-Schaeffer conjecture, two mathematicians have provided a complete answer.