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Why Quantum Computers Might Not Break Cryptography
...is interesting to see that the conventional wisdom is wrong.” Math is hard. Indeed, much of the modern infrastructure for secure communication depends heavily on the difficulty of elementary mathematics...
Solution: ‘How to Win at Deep Learning’
...math. But real expertise requires more significant math and an intuitive talent that some call ‘a dark art.’” In our case, this very simple network can very easily solve the...
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...