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differential equation

Article

The dynamics of crowds

Human beings are wilful and don't always act rationally. Yet, mathematical models of the behaviour of crowds are surprisingly accurate.
News story

The Chern Medal 2018: Masaki Kashiwara

Masaki Kashiwara wins the Chern medal for his "outstanding and foundational contributions to algebraic analysis and representation theory sustained over a period of almost 50 years."
News story

Face fusion

The maths behind music has inspired software that can merge faces.
News story

Martin Hairer: at the interface

Martin Hairer's is being honoured for a major breakthrough that gives a way of attacking problems that had previously been impenetrable.
Article
wave

Beneath the waves

Ocean waves are not moving walls of water. Instead, it's some kind of energy that moves along. But then, what happens to the water itself? This isn't just an idle question to ponder while watching the ocean — its answer may help protect us from it too. And it requires some sophisticated maths.

Article

Eat, drink and be merry: making it go down well

This article is part of a series of two articles exploring two ways in which mathematics comes into food, and especially into food safety and health. In this article we will take a dive into the rather smelly business of digesting food, and how a crazy application of chaos theory shows the best way to digest a medicinal drug.
Article

Eat, drink and be merry: making sure it's safe

This article is part of a two-part series exploring ways in which mathematics comes into food, and especially into food safety and health. In this part we'll look at how maths can tell us the safest way to cook food.
Article
cells

Modelling cell suicide

Martino Barenco and Mike Hubank shed light on suicidal cells and a mathematical model that could help fight cancer.

Article
pattern

Uncoiling the spiral: Maths and hallucinations

Think drug-induced hallucinations, and the whirly, spirally, tunnel-vision-like patterns of psychedelic imagery immediately spring to mind. But it's not just hallucinogenic drugs that conjure up these geometric structures. People have reported seeing them in near-death experiences, following sensory deprivation, or even just after applying pressure to the eyeballs. So what can these patterns tell us about the structure of our brains?
Article
icon

Supersonic Bloodhound

In 1997 Andy Green was the first to break the sound barrier in his car Thrust SSC, which reached speeds of over 760mph. Now he and his team want to push things even further with a car called Bloodhound, designed to reach the dizzy heights of 1,000mph, about 1.3 times the speed of sound. Ben Evans explains how maths is used to build this car.