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Art for "Computer Scientists Expand the Frontier of Verifiable Knowledge"
quantum information theory

Computer Scientists Expand the Frontier of Verifiable Knowledge

The universe of problems that a computer can check has grown. The researchers’ secret ingredient? Quantum entanglement.

Art for "How Geometry, Data and Neighbors Predict Your Favorite Movies"
Quantized Academy

How Geometry, Data and Neighbors Predict Your Favorite Movies

A little high school geometry can help you understand the basic math behind movie recommendation engines.

Illustration: a virus broken up into parts over several cells
viruses

Viruses Can Scatter Their Genes Among Cells and Reassemble

Some viruses can replicate without infecting any one cell with all their genes.

Animated line drawing of Margaret Hamilton, Ellen Fetter, and a Lorenz attractor
chaos theory

The Hidden Heroines of Chaos

The story of the birth of chaos theory has left out two programming pioneers.

Art for "Math Puzzle: The Joy of Recursion"
insights puzzle

Solution: ‘The Bulldogs That Bulldogs Fight’

To minimize brain strain when thinking recursively, start simply, look for a pattern and let the pattern do the work.

Art for "As Planet Discoveries Pile Up, a Gap Appears in the Pattern"
Abstractions blog

As Planet Discoveries Pile Up, a Gap Appears in the Pattern

Astronomers are puzzling over a paucity of planets in the galaxy measuring between 1.5 and two times Earth’s size.

Art for "In Ecology Studies and Selfless Ants, He Finds Hope for the Future"
Q&A

In Ecology Studies and Selfless Ants, He Finds Hope for the Future

For more than six decades, the influential biologist Edward O. Wilson has drawn connections between evolution, ecology and behavior, often sparking controversies inside and outside of science.

Art for "What Are Feynman Diagrams?"
In Theory

How Feynman Diagrams Revolutionized Physics

In the late 1940s, Richard Feynman invented a visual tool for simplifying particle calculations that forever changed theoretical physics.

Art for "How Feynman Diagrams Revolutionized Physics"
sphere packing

Out of a Magic Math Function, One Solution to Rule Them All

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.