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Beyond the Second Law
Thanks to the power of fluctuation relations, physicists are taking the second law of thermodynamics to settings once thought impossible.
What a Math Party Game Tells Us About Graph Theory
Play this simple math game with your friends to gain insights into fundamental principles of graph theory.
How We Can Make Sense of Chaos
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
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
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?
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?
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
The Chinese remainder theorem is an ancient and powerful extension of the simple math of least common multiples.
The Uselessness of Useful Knowledge
Today’s powerful but little-understood artificial intelligence breakthroughs echo past examples of unexpected scientific progress.