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Phantom jams
How to unjam traffic.
Content about “ differential equation
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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.
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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.
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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.
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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.
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Modelling cell suicide
Martino Barenco and Mike Hubank shed light on suicidal cells and a mathematical model that could help fight cancer.
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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?
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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.
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Restoring profanity
In 1979 decorating work in a house in Vienna revealed a set of medieval frescoes depicting a cycle of songs by a 13th century poet, who was particularly fond of satirising the erotic relationships between knights and peasant maidens. The frescoes are of great historical significance, but they are badly damaged. In this article Carola Schönlieb explores how mathematicians use the heat
equation to fill in the gaps.
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A risky business: how to price derivatives
In the light of recent events, it may appear that attempting to model the behaviour of financial markets is an impossible task. However, there are mathematical models of financial processes that, when applied correctly, have proved remarkably effective. Angus Brown looks at one of these, a simple model for option pricing, and explains how it takes us on the road to the famous Black-Scholes equation of financial mathematics, which won its discoverers the 1997 Nobel Prize in Economics.
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Universal pictures
Peter Markowich is a mathematician who likes to take pictures. At first his two interests seemed completely separate to him, but then he realised that behind every picture there is a mathematical story to tell. Plus went to see him to find out more, and ended up with a pictorial introduction to partial differential equations.
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Saving lives: the mathematics of tomography
Not so long ago, if you had a medical complaint, doctors had to open you up to see what it was. These days sophisticated imaging techniques save you the risk and pain of an operation. Chris Budd and Cathryn Mitchell look at the maths that is responsible for these medical techniques, and also for much of the digital revolution.