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Mathematics

Latest Articles

A ring of bubbles in blue water.
fluid dynamics

Mathematicians Coax Fluid Equations Into Nonphysical Solutions

By Leila Sloman
May 2, 2022
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The famed Navier-Stokes equations can lead to cases where more than one result is possible, but only in an extremely narrow set of situations.

Three circles that have dots connected by lines, as in a graph.
graph theory

Elegant Six-Page Proof Reveals the Emergence of Random Structure

By Jordana Cepelewicz
April 25, 2022
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Two young mathematicians have astonished their colleagues with a full proof of the Kahn-Kalai conjecture — a sweeping statement about how structure emerges in random sets and graphs.

A mathematical graph with plant roots.
number theory

New Proof Illuminates the Hidden Structure of Common Equations

By Leila Sloman
April 21, 2022
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Van der Waerden’s conjecture mystified mathematicians for 85 years. Its solution shows how polynomial roots relate to one another.

Simulated water particles swirl in an upward vortex.
mathematical physics

Deep Learning Poised to ‘Blow Up’ Famed Fluid Equations

By Jordana Cepelewicz
April 12, 2022
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For centuries, mathematicians have tried to prove that Euler’s fluid equations can produce nonsensical answers. A new approach to machine learning has researchers betting that “blowup” is near.

Insights puzzle

The Secrets of Zugzwang in Chess, Math and Pizzas

By Pradeep Mutalik
April 8, 2022
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Learn the magic and math of how to win games when your opponent goes first.

The Joy of Why

Untangling Why Knots Are Important

By Steven Strogatz
April 6, 2022
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Steven Strogatz explores the mysteries of knots with the mathematicians Colin Adams and Lisa Piccirillo.

An illustration of a polyhedral shape being folded flat.
geometry

Father-Son Team Solves Geometry Problem With Infinite Folds

By Rachel Crowell
April 4, 2022
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The result could help researchers answer a larger question about flattening objects from the fourth dimension to the third dimension.

Q&A

In Music and Math, Lillian Pierce Builds Landscapes

By Jordana Cepelewicz
March 30, 2022
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Lillian Pierce wants to transform access to the world of mathematics, while making headway on problems that bridge the discrete and continuous.

Quantized Academy

What a Math Party Game Tells Us About Graph Theory

By Patrick Honner
March 24, 2022
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Play this simple math game with your friends to gain insights into fundamental principles of graph theory.


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