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Mathematics

Photo of black and white swirls of mixing paint
fluid dynamics

Mathematicians Prove Universal Law of Turbulence

February 4, 2020

By exploiting randomness, three mathematicians have proved an elegant law that underlies the chaotic motion of turbulent systems.

Photo of Scarlett Howard, a researcher at the University of Toulouse, working with honeybees
Q&A

Secrets of Math From the Bee Whisperer

January 22, 2020

As Scarlett Howard taught honeybees to do arithmetic, they showed her how fundamental numbers might be to all brains.

Diagram showing blocks of different sizes colliding, along with different vectors
Abstractions blog

How Pi Connects Colliding Blocks to a Quantum Search Algorithm

January 21, 2020

A curious physicist has discovered an unexpected link between theoretical block collisions and a famed quantum search algorithm.

insights puzzle

Solution: ‘Natural Law and Elegant Math’

January 17, 2020

While mathematics gives us elegant explanations for many physical phenomena, real-world situations often require us to scramble through dense numerical thickets.

Steven Strogatz listens to a podcast guest speak about many scientific and mathematical subjects.
Quantized Columns

Why I’m Hosting The Joy of x Podcast

January 15, 2020

The noted mathematician and author Steven Strogatz explains why he wanted to share intimate conversations with leading researchers from diverse fields in his new podcast.

Abstractions blog

For Fluid Equations, a Steady Flow of Progress

January 13, 2020

A startling experimental discovery about how fluids behave started a wave of important mathematical proofs.

Quantized Academy

How Simple Math Can Cover Even the Most Complex Holes

January 8, 2020

No one knows how to find the smallest shape that can cover all other shapes of a certain width. But high school geometry is getting us closer to an answer.

Art for "Quanta’s Year in Math and Computer Science (2019)"
2019 in Review

The Year in Math and Computer Science

December 23, 2019

Mathematicians and computer scientists made big progress in number theory, graph theory, machine learning and quantum computing, even as they reexamined our fundamental understanding of mathematics and neural networks.

Animation of two rings of fluid approaching each other and colliding.
fluid dynamics

Famous Fluid Equations Spring a Leak

December 18, 2019

Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one.