Friday, July 15, 2022

Mass and Angular Momentum Finally Get Defined

Math and Science News from Quanta Magazine
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GENERAL RELATIVITY | ALL TOPICS

 

Mass and Angular Momentum, Left Ambiguous by Einstein, Finally Get Defined

By STEVE NADIS

Surprising as it may sound, 107 years after the introduction of general relativity, the meanings of basic concepts are still being worked out.

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COMBINATORICS

 

Hypergraphs Reveal Solution to 50-Year-Old Problem

By LEILA SLOMAN

In 1973, Paul Erdős asked if it was possible to assemble sets of "triples" — three points on a graph — so that they abide by two seemingly incompatible rules. A new proof shows it can always be done.

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Related: 
Mathematicians Settle Erdős
Coloring Conjecture

by Kelsey Houston-Edwards (2021)

QUANTUM COMPUTING

 

Quantum Algorithms Conquer a New Kind of Challenge

By MORDECHAI RORVIG

Computer scientists have found a new type of problem that quantum computers can solve dramatically faster than their classical counterparts. Is it the first in a new frontier of computational accomplishments?

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Related: 
How Quantum Computers Will
Correct Their Errors

by Katie McCormick (2021)

DEVELOPMENTAL BIOLOGY

 

Embryo Cells Set Patterns for Growth by Pushing and Pulling

By MONIQUE BROUILLETTE

Patterns that guide the development of feathers and other features can be set by mechanical forces in the embryo, not just by gradients of chemicals.

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Related: 
Ancient Turing Pattern Builds
Feathers, Hair — and Now, Shark Skin

by Jonathan Lambert (2019)

THE JOY OF WHY

 

How Do Mathematicians Know Their Proofs Are Correct?

Podcast hosted by STEVEN STROGATZ

What does evidence look like in the realm of mathematical abstraction? Hear the mathematician Melanie Matchett Wood explain how probability helps to guide number theorists toward certainty.

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Around the Web

Platonic Reasoning
A new model of artificial intelligence called PLATO has taken a step closer to having common-sense knowledge of how objects behave. It does so by focusing on whole objects rather than pixels to learn about the laws of physics, reports Dana G. Smith for Scientific American. While human infants acquire this grasp on reality early in life, the inability to use knowledge about the world to form new inferences has plagued AI for more than 50 years. In 2020 John Pavlus reported for Quanta on a new approach making progress by blending logic and deep learning.


Jumping From Horses to Dragons
The marine creatures called sea dragons look fantastically different from their close relatives, the sea horses. Scientists combing through the their genomes may have found the reason why in sections of repeating DNA code called transposons, reports Kate Golembiewski for The New York Times. These "jumping genes" could have copied and pasted themselves into the spots where the sea dragons were missing key growth genes. In 2021, Max Kozlov reported for Quanta on how the fusion of jumping genes can have major impacts throughout genomes. Transposons are often lumped in with other non-coding regions of the genome as "junk DNA." Most of that DNA is truly nonfunctional but some, like transposons, can evolve genomic significance, as Jake Buehler explained for Quanta in 2021.
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