Friday, November 25, 2022

AI Reveals New Possibilities in Matrix Multiplication

Math and Science News from Quanta Magazine
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NEURAL NETWORKS | ALL TOPICS

 

AI Reveals New Possibilities in Matrix Multiplication

By BEN BRUBAKER

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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QUANTIZED ACADEMY

 

The Simple Geometry Behind Brownie Bake Offs and Equal Areas

By PATRICK HONNER

How do you prove that two different polygons have the same area? It can be as easy as cutting them up and ingeniously rearranging the pieces.

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Related: 
An Ancient Geometry Problem Falls
to New Mathematical Techniques

By Steve Nadis

Q&A

 

A Mathematician Dancing Between Algebra and Geometry

By RACHEL CROWELL

Wei Ho, director of the Women and Mathematics program at IAS, combines algebra and geometry in her work on an ancient class of curves.

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Related: 
Mathematicians Prove 30-Year-Old
André-Oort Conjecture

By Leila Sloman

QUANTA SCIENCE PODCAST

 

Geometric Analysis Reveals How Birds Mastered Flight

Podcast hosted by SUSAN VALOT;
Story by YASEMIN SAPLAKOGLU

Scientists are beginning to grasp the biomechanics that allow birds to maneuver in the air.

Listen to the podcast

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Around the Web

We May Have a Bit of a Problem
Quantum computers will someday solve problems more quickly than classical computers can — or so it's hoped. But we're not there yet: Philip Ball writes for Physics Magazine about an experiment that shows quantum computers still can't beat their classical counterparts at simulating molecules. The main problem with quantum computers is that their quantum bits are extremely fragile and error-prone. In 2021 Katie McCormick wrote for Quanta about strategies to correct these errors.


Rooted in Conflict
The idea that trees chat and collaborate through an underground network of fungal filaments — the "wood wide web" — has become popular. But not all scientists believe it, writes Gabriel Popkin for The New York Times. The "wood wide web" is usually sold as a benevolent, cooperative network of trees. But in 2019 Gabriel Popkin wrote for Quanta about new evidence of the ruthless side of the fungi that rule the soil network.
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