# Maths in a minute

Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words. From symmetry to Euclid's axioms, and from binary numbers to the prosecutor's fallacy, learn some maths without too much effort.

Maths in a Minute: Turbulence and the Reynolds number

How does a smooth flow suddenly become turbulent? The Reynolds number helps understand the transition.

Maths in a Minute: Fluid dynamics and the Euler equations

How does water, or indeed any fluid, move? The Euler equations let us look beneath the surface and mark the beginning of modern fluid dynamics.

Maths in a minute: Asymptotic expansions

Approximating a function with a divergent series.

Maths in a minute: Maths and music

Explore the connections between maths and music!

Maths in a Minute: Category theory

A quick introduction to an abstract concept that's useful in anything from genetics to cosmology.

Maths in a Minute: The wagon wheel effect

Have you ever noticed the strange phenomenon of wheels appearing to move backwards while the vehicle is moving forwards? Aadit Jain explains why!

Maths in a minute: Semi-supervised machine learning

Machine learning started with supervised learning and us providing all the training materials, but we are finding ways for algorithms to learn with far fewer resources.

Maths in a minute: The prime number theorem

A quick look at one of the most important theorems in number theory.

Maths in a minute: Gradient descent algorithms

Whether you're lost on a mountainside, or training a neural network, you can rely on the gradient descent algorithm to show you the way!

Maths in a minute: Machine learning and neural networks

Machine learning makes many daily activities possible, but how does it work?

Maths in a Minute: Simplices – the atoms of topology

If you love triangles as much as we do, we have great news – you can have them in any dimension you want!

Maths in a minute: Artificial neurons

When trying to build an artificial intelligence, it makes sense to mimic the human brain. Artificial neurons do just that.

• Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.