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The Jagged, Monstrous Function That Broke Calculus
In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.
Why Computer Scientists Consult Oracles
Hypothetical devices that can quickly and accurately answer questions have become a powerful tool in computational complexity theory.
What Is Distributed Computing?
Our computers can get a lot more done when they share the load with other machines.
How Public Key Cryptography Really Works, Using Only Simple Math
The security system that underlies the internet makes use of a curious fact: You can broadcast part of your encryption to make your information much more secure.
Meet the Eukaryote, the First Cell to Get Organized
All modern multicellular life — all life that any of us regularly see — is made of cells with a knack for compartmentalization. Recent discoveries are revealing how the first eukaryote got its start.
The Two Faces of Space-Time
A mysterious phenomenon known as duality often leads to new discoveries in physics. This time, space-time itself can sometimes be two things at once.
How ‘Embeddings’ Encode What Words Mean — Sort Of
Machines work with words by embedding their relationships with other words in a string of numbers.
How the Higgs Field (Actually) Gives Mass to Elementary Particles
In this article adapted from his new book, "Waves in an Impossible Sea," physicist Matt Strassler explains that the origin of mass in the universe has a lot to do with music.
How Our Longest Nerve Orchestrates the Mind-Body Connection
Like a highway system, the vagus nerve branches profusely from your brain through your organs to marshal bodily functions, including aspects of mind such as mood, pleasure and fear.