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The Infinite Primes and Museum Guard Proofs, Explained
...the most beautiful and elegant proofs in mathematics. The collection was inspired by the legendary mathematician Paul Erdős, who envisioned an infinite book in which God had written the perfect...
An Innovator Who Brings Order to an Infinitude of Equations
...being selected as one of four winners of the Fields Medal, a prize conferred every four years by the International Mathematical Union on the most accomplished mathematicians in the world...
The (Imaginary) Numbers at the Edge of Reality
Odd enough to potentially model the strangeness of the physical world, complex numbers with “imaginary” components are rooted in the familiar. Have you ever sat in a math classroom and...
An Astrophysicist Who Maps the Universe’s Terra Incognita
...own path began with a map. Yes. I grew up in India. My parents are academics, so I grew up around books. I loved science and math. But I was...
How a Strange Grid Reveals Hidden Connections Between Simple Numbers
...prolific conjecturer Paul Erdős posed a math problem: Take any set of numbers you like. These could be the whole numbers from 1 to 12, the first 10,000 prime numbers,...
Cryptography That Is Provably Secure
Researchers have just released cryptographic code with the same level of invincibility as a mathematical proof. Programmers are human, but mathematics is immortal. By making programming more mathematical, a community...
How Geometry, Data and Neighbors Predict Your Favorite Movies
A little high school geometry can help you understand the basic math behind movie recommendation engines. Adrienne is a Marvel movie fanatic: Her favorite films all involve the Hulk, Thor...
Philosophers Debate New ‘Sonic Black Hole’ Discovery
...in it. This implies that an evaporating black hole destroys information — something quantum mechanics doesn’t allow. Quantum math relies on the premise that information is never lost. As particles...
His Artificial Intelligence Sees Inside Living Cells
...that doesn’t look like a cell at all.” It was very frustrating for me because the math and probability were all correct. But when we looked at the first images...