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Mathematics

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Finally, a Fast Algorithm for Shortest Paths on Negative Graphs

January 18, 2023

Researchers can now find the shortest route through a network nearly as fast as theoretically possible, even when some steps can cancel out others.

Probability and Number Theory Collide — in a Moment

January 12, 2023

Mathematicians are taking ideas developed to study random numbers and applying them to a broad range of categories.

Google Researcher, Long Out of Math, Cracks Devilish Problem About Sets

January 3, 2023

On nights and weekends, Justin Gilmer attacked an old question in pure math using the tools of information theory.

The Year in Math

December 22, 2022

Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing the discipline.

‘Nasty’ Geometry Breaks Decades-Old Tiling Conjecture

December 15, 2022

Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. But they were wrong.

From Systems in Motion, Infinite Patterns Appear

December 5, 2022

Mathematicians are finding inevitable structures in sufficiently large sets of integers.

The Math Behind Wordle Guesses

December 2, 2022

Wordle is a word game. But you can use math to optimize your chances of winning (without cheating).

Mathematical Trio Advances Centuries-Old Number Theory Problem

November 29, 2022

The work — the first-ever limit on how many whole numbers can be written as the sum of two cubed fractions — makes significant headway on “a recurring embarrassment for number theorists.”

AI Reveals New Possibilities in Matrix Multiplication

November 23, 2022

Inspired by the results of a game-playing neural network, mathematicians have been making unexpected advances on an age-old math problem.

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