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mathematics

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Animated illustration of a hand emerging from a black hole, while drawing the black hole by connecting dots flashing 0 and 1.
Quantized Columns

Spotting Quantum Black Holes in the Lab

By John Preskill
July 15, 2020
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Can we test speculations about how quantum physics affects black holes and the Big Bang?

Gödel’s incompleteness theorems.
Abstractions blog

How Gödel’s Proof Works

By Natalie Wolchover
July 14, 2020
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His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences.

Quantized Academy

The Math of Social Distancing Is a Lesson in Geometry

By Patrick Honner
July 13, 2020
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How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries.

Photo of various kinds and colors of dice
Abstractions blog

How and Why Computers Roll Loaded Dice

By Stephen Ornes
July 8, 2020
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Researchers are one step closer to injecting probability into deterministic machines.

A photograph of the mathematician James Maynard outside his home in Oxford, England.
profiles

A Number Theorist Who Solves the Hardest Easy Problems

By Erica Klarreich
July 1, 2020
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In his rapid ascent to the top of his field, James Maynard has cut a path through simple-sounding questions about prime numbers that have stumped mathematicians for centuries.

Animated illustration showing vulnerable red shapes become “infected” and turn green, amid immune blue shapes.
Abstractions blog

The Tricky Math of Herd Immunity for COVID-19

By Kevin Hartnett
June 30, 2020
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Herd immunity differs from place to place, and many factors influence how it’s calculated.

Animation of different rectangles made by connecting four points on a colorful loop.
geometry

New Geometric Perspective Cracks Old Problem About Rectangles

By Kevin Hartnett
June 25, 2020
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While locked down due to COVID-19, Joshua Greene and Andrew Lobb figured out how to prove a version of the “rectangular peg problem.”

Illustration showing an austere number line on one side and various interesting objects on the the other, including a dodecahedron, an armillary sphere, flowers and plants.
Quantized Columns

The Two Forms of Mathematical Beauty

By Robbert Dijkgraaf
June 16, 2020
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Mathematicians typically appreciate either generic or exceptional beauty in their work, but one type is more useful in describing the universe.

Diagram showing a colorful visualization of the simple Lie group
Abstractions blog

The ‘Useless’ Perspective That Transformed Mathematics

By Kevin Hartnett
June 9, 2020
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Representation theory was initially dismissed. Today, it’s central to much of mathematics.


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