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Mathematics
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Why the Sum of Three Cubes Is a Hard Math Problem
Looking for answers in infinite space is hard. High school math can help narrow your search.
Mathematicians Cut Apart Shapes to Find Pieces of Equations
New work on the problem of “scissors congruence” explains when it’s possible to slice up one shape and reassemble it as another.
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.
With Category Theory, Mathematics Escapes From Equality
Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly.
Solution: ‘Perfect Randomness’
Is nature inherently random or is perfect randomness just an illusion based on our ignorance?
Big Question About Primes Proved in Small Number Systems
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
The way you learned to multiply works, but computers employ a faster algorithm.
A Mathematical Model Unlocks the Secrets of Vision
Mathematicians and neuroscientists have created the first anatomically accurate model that explains how vision is possible.
The Puzzling Search for Perfect Randomness
Does objective, perfect randomness exist, or is randomness merely a product of our ignorance?