In Lockdown, Mathematicians Crack a Stubborn Geometry Riddle

In Lockdown, Mathematicians Crack a Stubborn Geometry Riddle

The problem Greene and Lobb worked on predicts, basically, that every such path contains sets of four points that form the vertices of rectangles of any desired proportion.But again, the problem Greene and Lobb solved involves curves that are smooth, and therefore continuous.

The New Math Bridge Beyond Fermat’s Last Theorem

The New Math Bridge Beyond Fermat’s Last Theorem

Yet in the middle of the 20th century, mathematicians started uncovering deep relationships between them, and by the early 1970s, Robert Langlands of the Institute for Advanced Study had conjectured that Diophantine equations and automorphic forms match up in a very specific manner.

A Computer Science Proof Holds Answers for Math and Physics

A Computer Science Proof Holds Answers for Math and Physics

The computer scientists Henry Yuen, Thomas Vidick, Zhengfeng Ji, Anand Natarajan and John Wright co-authored a proof about verifying answers to computational problems and ended up solving major problems in math and quantum physics.

Mathematician Terence Tao Cracks a ‘Dangerous’ Problem

Mathematician Terence Tao Cracks a ‘Dangerous’ Problem

Earlier this year one of the top mathematicians in the world dared to confront the problem—and came away with one of the most significant results on the Collatz conjecture in decades.On September 8, Terence Tao posted a proof showing that—at the very least—the Collatz conjecture is “almost” true for “almost” all numbers.

What Are Zero-Knowledge Proofs?

What Are Zero-Knowledge Proofs?

For example, zero-knowledge proofs can be used to validate cryptocurrency transactions managed on a blockchain and combat fraud without revealing data about which wallet a payment came from, where it was sent, or how much currency changed hands.

Inside the Bulletproof Coffee Guy’s New Body-Hacking Gym

Inside the Bulletproof Coffee Guy’s New Body-Hacking Gym

About a week after I talk to Tobias and Asprey on the phone, I’m parking my 2007 Jeep Liberty among the hulking Mercedes G-Wagens at the Beverly Hilton for the sixth annual Biohacking Conference, hosted for the first time by Upgrade Labs.

5 Best Rain Jackets for 2019: Lightweight, Hiking, and More

5 Best Rain Jackets for 2019: Lightweight, Hiking, and More

The Keb is a technical shell, with features like a helmet-compatible hood, plasticized water-resistant zippers, and pockets on the chest so that you can access them while wearing a climbing harness or a hip belt.

A Child’s Puzzle Helped Uncover How Magnets Really Work

A Child’s Puzzle Helped Uncover How Magnets Really Work

Just swap the labels on the tiles from numbers to up or down spins, and the puzzle becomes equivalent to a Nagaoka ferromagnet, with a hole that moves through a lattice of electrons.