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How We Can Make Sense of Chaos

March 2, 2022

Dynamical systems can be chaotic and impossible to predict, but mathematicians have discovered tools to help understand them.

Why Triangles Are Easy and Tetrahedra Are Hard

January 31, 2022

The triangle angle sum theorem makes working with triangles easy. What happens when you can’t rely on it?

How Infinite Series Reveal the Unity of Mathematics

January 24, 2022

Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.

What Does It Mean for AI to Understand?

December 16, 2021

It’s simple enough for AI to seem to comprehend data, but devising a true test of a machine’s knowledge has proved difficult.

Will We Ever Get Rid of COVID-19?

November 30, 2021

No matter how much we’d like to eradicate SARS-CoV-2, it may be better to settle for other forms of control.

What Hot Dogs Can Teach Us About Number Theory

November 18, 2021

The Chinese remainder theorem is an ancient and powerful extension of the simple math of least common multiples.

The Uselessness of Useful Knowledge

October 20, 2021

Today’s powerful but little-understood artificial intelligence breakthroughs echo past examples of unexpected scientific progress.

The Simple Math Behind the Mighty Roots of Unity

September 23, 2021

Solutions to the simplest polynomial equations — called “roots of unity” — have an elegant structure that mathematicians still use to study some of math’s greatest open questions.

The Journey to Define Dimension

September 13, 2021

The concept of dimension seems simple enough, but mathematicians struggled for centuries to precisely define and understand it.

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