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mathematics

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How Math Achieved Transcendence

By David S. Richeson
June 27, 2023
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Transcendental numbers include famous examples like e and π, but it took mathematicians centuries to understand them.

An observer times birds flying between an apple tree and an orange tree that look like graphs.
computational complexity

Computer Scientists Inch Closer to Major Algorithmic Goal

By Kevin Hartnett
June 23, 2023
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A new paper finds a faster method for determining when two mathematical groups are the same.

graph theory

Mathematicians Discover Novel Way to Predict Structure in Graphs

By Jordana Cepelewicz
June 22, 2023
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Mathematicians probe the limits of randomness in new work estimating quantities called Ramsey numbers.

An illustration of a honeycomb-shaped molecular mosaic. Formed by a six-sided molecule, the hexagonal mosaic is a pattern within a pattern, with multiple levels of organization.
materials science

The Simple Geometry That Predicts Molecular Mosaics

By Elise Cutts
June 21, 2023
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By treating molecules as geometric tessellations, scientists devised a new way to forecast how 2D materials might self-assemble.

dynamical systems

Flow Proof Helps Mathematicians Find Stability in Chaos

By Jordana Cepelewicz
June 15, 2023
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A series of new papers describes how to fully characterize key dynamical systems with relatively little data.

combinatorics

First-Year Graduate Student Finds Paradoxical Set

By Alex Stone
June 5, 2023
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No two pairs have the same sum; add three numbers together, and you can get any whole number.

A video depiction of shifting boundaries in Colorado illustrates the endless possibilities for drawing Congressional districts.
applied math

How Math Has Changed the Shape of Gerrymandering

By Mike Orcutt
June 1, 2023
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New tools make it possible to detect hidden manipulation of maps.

Quantized Academy

Math Patterns That Go On Forever but Never Repeat

By Patrick Honner
May 23, 2023
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Simple math can help explain the complexities of the newly discovered aperiodic monotile.

nonlinear dynamics

New Proof Finds the ‘Ultimate Instability’ in a Solar System Model

By Jordana Cepelewicz
May 16, 2023
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For the first time, mathematicians have proved that planetary orbits in a solar system will always be unstable.


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