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Mathematics

Neutrinos and matrices
mathematical physics

Neutrinos Lead to Unexpected Discovery in Basic Math

November 13, 2019

Three physicists stumbled across an unexpected relationship between some of the most ubiquitous objects in math.

Abstractions blog

Mathematicians Calculate How Randomness Creeps In

November 12, 2019

Mathematicians have figured out exactly how many moves it takes to randomize a 15 puzzle.

An illustration of a mathematician staring up at an infinite pile of cubes of varying sizes and colors.
Quantized Academy

Why the Sum of Three Cubes Is a Hard Math Problem

November 5, 2019

Looking for answers in infinite space is hard. High school math can help narrow your search.

Animation showing two sets of tangrams cycling between identical squares and different shapes.
geometry

Mathematicians Cut Apart Shapes to Find Pieces of Equations

October 31, 2019

New work on the problem of “scissors congruence” explains when it’s possible to slice up one shape and reassemble it as another.

Photo of a yellow sunflower against a yellow background.
Abstractions blog

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.

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.

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.