**An Alternative to Conventional Neural Networks Could Help Reveal What AI Is Doing behind the Scenes**

Despite their performance, current AI models have major weaknesses: they require enormous resources and are indecipherable. Help may be on the way

MathMay 28, 2024

**An Alternative to Conventional Neural Networks Could Help Reveal What AI Is Doing behind the Scenes**

Despite their performance, current AI models have major weaknesses: they require enormous resources and are indecipherable. Help may be on the way

OpinionMay 25, 2024

How the Guinness Brewery Invented the Most Important Statistical Method in Science

The most common test of statistical significance originated from the Guinness brewery. Here’s how it works

MathematicsMay 7, 2024

The Mathematical Case for Monkeys Producing Shakespeare—Eventually

An infinite number of random events can produce just about anything if you have quintillions of years to wait

MathematicsApril 18, 2024

Mathematicians Explain Why Some Lengths Can’t Be Measured

Can you assign a size to every object? The surprising answer is no

StatisticsMarch 21, 2024

Mathematician Who Tamed Randomness Wins Abel Prize

Michel Talagrand innovative work has allowed others to tackle problems involving random processes

OpinionMarch 14, 2024

Do the Digits of Pi Actually Contain All of Shakespeare?

If pi is a “normal” number, the constant would contain much more than Shakespeare, resolving why such a random-looking number lives at the heart of simple circles

MathematicsMarch 12, 2024

The Simplest Math Problem Could Be Unsolvable

The Collatz conjecture has plagued mathematicians for decades—so much so that professors warn their students away from it

OpinionMarch 9, 2024

How a Classic Bridge-Crossing Puzzle Inspired New Math

Are you smarter than an 18th-century Prussian?

HistoryFebruary 20, 2024

The Decimal Point Is 150 Years Older than Historians Thought

The origin of the decimal point, a powerful calculation tool, has been traced back to a mathematician who lived during the Italian Renaissance

OpinionFebruary 17, 2024

The Strangely Serious Implications of Math’s ‘Ham Sandwich Theorem’

A simple solution to gerrymandering crumbles when confronted with math’s “ham sandwich theorem”

MathematicsFebruary 16, 2024

Secret Mathematical Patterns Revealed in Bach’s Music

Physicists found that the music of Johann Sebastian Bach contains mathematical patterns that help convey information

MathematicsFebruary 14, 2024

Surreal Numbers Are a Real Thing. Here’s How to Make Them

In the 1970s mathematicians found a simple way to create all numbers, from the infinitely small to infinitely large