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The Geometric Tool That Solved Einstein’s Relativity Problem

August 12, 2024

Tensors are used all over math and science to reveal hidden geometric truths. What are they?

How Base 3 Computing Beats Binary

August 9, 2024

Long explored but infrequently embraced, base 3 computing may yet find a home in cybersecurity.

What Is Analog Computing?

August 2, 2024

You don’t need 0s and 1s to perform computations, and in some cases it’s better to avoid them.

What Happens in a Mind That Can’t ‘See’ Mental Images

August 1, 2024

Neuroscience research into people with aphantasia, who don’t experience mental imagery, is revealing how imagination works and demonstrating the sweeping variety in our subjective experiences.

Vacuum of Space to Decay Sooner Than Expected (but Still Not Soon)

July 22, 2024

One of the quantum fields that fills the universe is special because its default value seems poised to eventually change, changing everything.

What Are Sheaves?

July 19, 2024

These metaphorical gardens have become central objects in modern mathematics.

What Is Machine Learning?

July 8, 2024

Neural networks and other forms of machine learning ultimately learn by trial and error, one improvement at a time.

How the Square Root of 2 Became a Number

June 21, 2024

Useful mathematical concepts, like the number line, can linger for millennia before they are rigorously defined.

The Enduring Mystery of How Water Freezes

June 17, 2024

Making ice requires more than subzero temperatures. The unpredictable process takes microscopic scaffolding, random jiggling and often a little bit of bacteria.

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