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How Isaac Newton Discovered the Binomial Power Series
Rethinking questions and chasing patterns led Newton to find the connection between curves and infinite sums.
Neuronal Scaffolding Plays Unexpected Role in Pain
Perineuronal nets, rigid structures that hold certain neurons in place, affect a surprising amount of brain activity, including some associated with chronic pain.
How Can Infinitely Many Primes Be Infinitely Far Apart?
Mathematicians have been studying the distribution of prime numbers for thousands of years. Recent results about a curious kind of prime offer a new take on how spread out they can be.
The Sordid Past of the Cubic Formula
The quest to solve cubic equations led to duels, betrayals — and modern mathematics.
What Is the Langlands Program?
The Langlands program provides a beautifully intricate set of connections between various areas of mathematics, pointing the way toward novel solutions for old problems.
Why Claude Shannon Would Have Been Great at Wordle
A bit of information theory can help you analyze — and improve — your Wordle game.
What Happens When We Give Animals Our Diseases?
While it’s understandable to focus on the diseases affecting humans, it’s important to study how our illnesses may affect animals.
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.