What's up in

Mathematics

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.

Art for "Color Me Polynomial"
Quantized Academy

Color Me Polynomial

August 13, 2019

Polynomials aren’t just exercises in abstraction. They’re good at illuminating structure in surprising places.

Abstractions blog

How Randomness Can Make Math Easier

July 9, 2019

Randomness would seem to make a mathematical statement harder to prove. In fact, it often does the opposite.

geometry

Random Surfaces Hide an Intricate Order

July 2, 2019

Mathematicians have proved that a random process applied to a random surface will yield consistent patterns.

Art for "A 53-Year-Old Network Coloring Conjecture Is Disproved"
graph theory

A 53-Year-Old Network Coloring Conjecture Is Disproved

June 17, 2019

In just three pages, a Russian mathematician has presented a better way to color certain types of networks than many experts thought possible.