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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.

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Can Our Brains Be Taken Over?

By Tara C. Smith
February 23, 2023
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Several real-life pathogens can change a host’s behavior against their will. Here’s what we know about these zombie-like infections.

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When Does the Brain Operate at Peak Performance?

By John M. Beggs
January 31, 2023
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The critical brain hypothesis suggests that neural networks do their best work when connections are not too weak or too strong.

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

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What Does It Mean to Align AI With Human Values?

By Melanie Mitchell
December 13, 2022
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Making sure our machines understand the intent behind our instructions is an important problem that requires understanding intelligence itself.

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The Simple Geometry Behind Brownie Bake Offs and Equal Areas

By Patrick Honner
November 21, 2022
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Proving that two polygons have the same area can be as easy as cutting them up and rearranging the pieces.

Illustration of the earth warping space-time, surrounded by small gears and galaxies.
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How to Think About Relativity

By Sean Carroll
November 14, 2022
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Albert Einstein’s ideas about space-time aren’t exactly intuitive, and they aren’t exactly Einstein’s, either.

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Why Mathematicians Study Knots

By David S. Richeson
October 31, 2022
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Far from being an abstract mathematical curiosity, knot theory has driven many findings in math and beyond.

Drawing of a man connected by viruses to mice, horses, camels and more animals
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What We Know About Monkeypox

By Tara C. Smith
September 29, 2022
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Even though we’ve learned a lot about this relative of smallpox, some mysteries remain due to a lack of political will.


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