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mathematics

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

Solution: ‘Perfect Randomness’

By Pradeep Mutalik
September 27, 2019
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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

By Kevin Hartnett
September 26, 2019
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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

By Patrick Honner
September 23, 2019
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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

By Kevin Hartnett
August 21, 2019
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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

By Pradeep Mutalik
August 20, 2019
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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

By Kevin Hartnett
August 14, 2019
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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.

Art for "Color Me Polynomial"
Quantized Academy

Color Me Polynomial

By Patrick Honner
August 13, 2019
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Polynomials aren’t just exercises in abstraction. They’re good at illuminating structure in surprising places.

Insights puzzle

Solution: Magic Moiré in Twisted Graphene

By Pradeep Mutalik
July 26, 2019
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Answering these simple questions can give you an intuitive feel for the geometric properties behind the emergence of superconductivity in rotated graphene sheets.

combinatorics

Decades-Old Computer Science Conjecture Solved in Two Pages

By Erica Klarreich
July 25, 2019
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The “sensitivity” conjecture stumped many top computer scientists, yet the new proof is so simple that one researcher summed it up in a single tweet.


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