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probability

Side-by-side illustrations of the same linear hypergraph. The edges of the hypergraph are colored in the illustration on the right, but not in the illustration on the left.
combinatorics

Mathematicians Settle Erdős Coloring Conjecture

April 5, 2021

Fifty years ago, Paul Erdős and two other mathematicians came up with a graph theory problem that they thought they might solve on the spot. A team of mathematicians has finally settled it.

Illustration of a blue tiger.
Abstractions blog

How Neutral Theory Altered Ideas About Biodiversity

December 8, 2020

The simple insight that most changes are random had a profound effect on genetics, evolution and ecology.

Insights puzzle

How to Assess Risks During the Coronavirus Pandemic

September 25, 2020

The medical research scientist and Quanta puzzle columnist Pradeep Mutalik explores how to make sense of COVID-19 data while managing your personal risk.

Insights puzzle

COVID-19 Is Raging. How Safe Is Your Backyard Party?

August 6, 2020

Awash in coronavirus data, misinformation and tremendous uncertainty, we need to put our risk analysis skills to the ultimate test.

Photo of Ronald Rivest sitting in his office
Q&A

Cryptography Pioneer Seeks Secure Elections the Low-Tech Way

March 12, 2020

Ronald Rivest helped come up with the RSA algorithm, which safeguards online commerce. Now he’s hoping to make democratic elections more trustworthy.

Multimedia

The Map of Mathematics

February 13, 2020

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

A rogue wave and a sailboat.
fluid dynamics

The Grand Unified Theory of Rogue Waves

February 5, 2020

Rogue waves — enigmatic giants of the sea — were thought to be caused by two different mechanisms. But a new idea that borrows from the hinterlands of probability theory has the potential to predict them all.

An illustration of a pink hand reaching for quantum dice.
Quantized Columns

Where Quantum Probability Comes From

September 9, 2019

There are many different ways to think about probability. Quantum mechanics embodies them all.

Art for "In the Universe of Equations, Virtually All Are Prime"
number theory

In the Universe of Equations, Virtually All Are Prime

December 10, 2018

Equations, like numbers, cannot always be split into simpler elements.