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Mathematics

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Big Data’s Mathematical Mysteries

By Ingrid Daubechies
December 3, 2015
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Machine learning works spectacularly well, but mathematicians aren’t quite sure why.

Mathematics

‘Outsiders’ Crack 50-Year-Old Math Problem

By Erica Klarreich
November 24, 2015
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Three computer scientists have solved a problem central to a dozen far-flung mathematical fields.

complex systems

Nature’s Critical Warning System

By Natalie Wolchover
November 18, 2015
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Scientists are homing in on a warning signal that arises in complex systems like ecological food webs, the brain and the Earth’s climate. Could it help prevent future catastrophes?

Mathematics

Theorists Draw Closer to Perfect Coloring

By Natalie Wolchover
October 20, 2015
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A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a long-sought general coloring proof.

Biology

Networks Untangle Malaria’s Deadly Shuffle

By Veronique Greenwood
October 15, 2015
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By examining regions shared between some of nature’s most variable genes, malaria researchers are piecing together an understanding of a deadly parasite.

ecology

A Twisted Path to Equation-Free Prediction

By Gabriel Popkin
October 13, 2015
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Complex natural systems defy analysis using a standard mathematical toolkit, so one ecologist is throwing out the equations.

number theory

A Magical Answer to an 80-Year-Old Puzzle

By Erica Klarreich
October 1, 2015
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Using crowd-sourced and traditional mathematics research, Terence Tao has devised a solution to a long-standing problem posed by the legendary Paul Erdős.

Computer Science

A New Map Traces the Limits of Computation

By John Pavlus
September 29, 2015
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A major advance in computational complexity reveals deep connections between the classes of problems that computers can — and can’t — possibly do.

cryptography

A Tricky Path to Quantum-Safe Encryption

By Natalie Wolchover
September 8, 2015
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In the drive to safeguard data from future quantum computers, cryptographers have stumbled upon a thin red line between security and efficiency.


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