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mathematics

Art for "In Quantum Games, There’s No Way to Play the Odds"
Abstractions blog

In Quantum Games, There’s No Way to Play the Odds

These games combine quantum entanglement, infinity and impossible-to-calculate winning probabilities. But if researchers can crack them, they’ll reveal deep mathematical secrets.

Art for "Proof Finds That All Change Is a Mix of Order and Randomness"
dynamical systems

Proof Finds That All Change Is a Mix of Order and Randomness

All descriptions of change are a unique blend of chance and determinism, according to the sweeping mathematical proof of the “weak Pinsker conjecture.”

Abstractions blog

Sum-of-Three-Cubes Problem Solved for ‘Stubborn’ Number 33

A number theorist with programming prowess has found a solution to 33 = x³ + y³ + z³, a much-studied equation that went unsolved for 64 years.

Art for "How to Find Simple Treasures in Complex Numbers"
insights puzzle

Solution: ‘How to Find Simple Treasures in Complex Numbers’

Puzzle solvers used “imaginary” numbers to solve a real world problem: finding long-lost treasure.

Art for "Karen Uhlenbeck, Uniter of Geometry and Analysis, Wins Abel Prize"
Abel Prize

Karen Uhlenbeck, Uniter of Geometry and Analysis, Wins Abel Prize

A founder of modern geometric analysis who produced “some of the most dramatic advances in mathematics in the last 40 years,” Uhlenbeck is the first woman to be awarded this top honor.

Art for "Where Proof, Evidence and Imagination Intersect"
Quantized Academy

Where Proof, Evidence and Imagination Intersect

In mathematics, where proofs are everything, evidence is important too. But evidence is only as good as the model, and modeling can be dangerous business. So how much evidence is enough?

geometry

Math Duo Maps the Infinite Terrain of Minimal Surfaces

A pair of mathematicians has built on an obscure, 30-year-old mathematical theory to show that soap-filmlike minimal surfaces appear abundantly in a wide range of shapes.

Art for "The Universe’s Ultimate Complexity Revealed by Simple Quantum Games"
quantum information theory

The Universe’s Ultimate Complexity Revealed by Simple Quantum Games

A two-player game can reveal whether the universe has an infinite amount of complexity.

Art for "Möbius Strips Defy a Link With Infinity"
topology

Möbius Strips Defy a Link With Infinity

A new proof shows why an uncountably infinite number of Möbius strips will never fit into a three-dimensional space.