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Mathematics

Art for "Mathematicians Discover the Perfect Way to Multiply"
number theory

Mathematicians Discover the Perfect Way to Multiply

April 11, 2019

By chopping up large numbers into smaller ones, researchers have rewritten a fundamental mathematical speed limit.

Art for "Scientists Discover Exotic New Patterns of Synchronization"
patterns

Scientists Discover Exotic New Patterns of Synchronization

April 4, 2019

In a world seemingly filled with chaos, physicists have discovered new forms of synchronization and are learning how to predict and control them.

Art for "Usain Bolt’s Split Times and the Power of Calculus"
Quantized Columns

Usain Bolt’s Split Times and the Power of Calculus

April 3, 2019

Just how fast can the fastest human run? This adapted book excerpt from Infinite Powers reveals how calculus helps us investigate the nature of motion and change.

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

April 1, 2019

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

March 27, 2019

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

March 26, 2019

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

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

March 19, 2019

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

March 14, 2019

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

March 12, 2019

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.