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Quantum Supremacy Is Coming: Here’s What You Should Know
Researchers are getting close to building a quantum computer that can perform tasks a classical computer can’t. Here’s what the milestone will mean.
How (Relatively) Simple Symmetries Underlie Our Expanding Universe
Although Einstein’s theory of space-time seems more complicated than Newtonian physics, it greatly simplified the mathematical description of the universe.
How Randomness Can Make Math Easier
Randomness would seem to make a mathematical statement harder to prove. In fact, it often does the opposite.
Why Mathematicians Can’t Find the Hay in a Haystack
In math, sometimes the most common things are the hardest to find.
The Strange Numbers That Birthed Modern Algebra
The 19th-century discovery of numbers called “quaternions” gave mathematicians a way to describe rotations in space, forever changing physics and math.
A Short Guide to Hard Problems
What’s easy for a computer to do, and what’s almost impossible? Those questions form the core of computational complexity. We present a map of the landscape.
What Is the Sun Made Of and When Will It Die?
If and when physicists are able to pin down the metal content of the sun, that number could upend much of what we thought we knew about the evolution and life span of stars.
The Infinite Primes and Museum Guard Proofs, Explained
A simple, step-by-step breakdown of two “perfect” math proofs.
What Makes the Hardest Equations in Physics So Difficult?
The Navier-Stokes equations describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge.