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algebra

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The Symmetry That Makes Solving Math Equations Easy

By Patrick Honner
March 24, 2023
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Learn why the quadratic formula works and why quadratics are easier to solve than cubics.

cartoon illustration of a female teacher surrounded by students throwing paper airplanes covered in equations against a bright orange background
Quantized Academy

The Basic Algebra Behind Secret Codes and Space Communication

By Patrick Honner
January 23, 2023
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Whether you’re passing secret notes in class or downloading images from a space probe, Reed-Solomon codes offer an ingenious way to embed information and correct for errors.

number theory

Probability and Number Theory Collide — in a Moment

By Leila Sloman
January 12, 2023
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Mathematicians are taking ideas developed to study random numbers and applying them to a broad range of categories.

Q&A

A Mathematician Dancing Between Algebra and Geometry

By Rachel Crowell
November 22, 2022
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Wei Ho, the first director of the Women and Mathematics program at the Institute for Advanced Study, combines algebra and geometry in her work on an ancient class of curves.

Quantized Columns

How Isaac Newton Discovered the Binomial Power Series

By Steven Strogatz
August 31, 2022
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Rethinking questions and chasing patterns led Newton to find the connection between curves and infinite sums.

algebraic geometry

Old Problem About Mathematical Curves Falls to Young Couple

By Jordana Cepelewicz
August 25, 2022
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Eric Larson and Isabel Vogt have solved the interpolation problem — a centuries-old question about some of the most basic objects in geometry. Some credit goes to the chalkboard in their living room.

A graphed cubic equation separates 16th-century scientists Niccolò Fontana Tartaglia, and Gerolamo Cardano
Quantized Columns

The Sordid Past of the Cubic Formula

By David S. Richeson
June 30, 2022
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The quest to solve cubic equations led to duels, betrayals — and modern mathematics.

Quantized Columns

What Is the Langlands Program?

By Alex Kontorovich
June 1, 2022
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The Langlands program provides a beautifully intricate set of connections between various areas of mathematics, pointing the way toward novel solutions for old problems.

Quantized Columns

How Infinite Series Reveal the Unity of Mathematics

By Steven Strogatz
January 24, 2022
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Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.


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