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Networking for the Future

This Mathematics Matters case study, from the Institute of Mathematics and its Applications, looks at how mathematical network theory helps to improve connections for global transport, internet and telephony networks. Modern society relies heavily on a variety of networks, but we don’t fully understand how they...

Optical Fibres: The Hole Story

A case study from Mathematics Matters which looks at the development of optical fibres and how mathematical models have simplified the process of producing them. Modern society relies heavily on a variety of networks, but we don’t fully understand how they behave. Mathematical network theory lets us create models...

Picture Perfect Processing

A Mathematics Matters case study looking at how mathematical software supports new developments in imaging technology. Mathematical image processing techniques make it possible for us to capture, transmit and store photographs and video. They also let us restore noisy or damaged images and extract useful...

Preserving Britain's Coastlines

This Mathematics Matters case study looks at the serious problem of coastal erosion. Much of the UK’s coastline is undergoing erosion, placing homes, businesses and other important coastal sites at risk. Mathematical modelling can enable us to understand both the short and long term processes that lead to erosion,...

Scans on the Brain

This Mathematics Matters case study, produced by the Institute of Mathematics and its Applications, looks at how mathematical research contributes to the development of new medical imaging technology. Brain scans play a vital role in the treatment of many serious medical conditions, but decoding the signals inside...

Smarter Phones for All

This Mathematics Matters case study, produced by the Institute of Mathematics and its Applications, looks at how industry relies on cutting-edge mathematics to develop better quality communications. The amount of information we can transmit though the air is limited by the laws of physics, but the mathematics of...

Statistically-Secure Identities

This Mathematics Matters case study, from the Institute of Mathematics and its Applications, looks at how biometric identification systems rely on mathematical methods to convert images into data that can be digitally stored. It is essential that the biometric systems we depend on for national security can reliably...

Stats in Your Genes

This Mathematics Matters case study, from the Institute of Mathematics and its Applications, discusses the importance of statistics and computing to developments in medical research. Sequencing the human genome was a fantastic achievement, but it was only the beginning. Now, statisticians are coming up with new...

Taking Decisions, Not Risks

A Mathematics Matters case study which looks at how advances in statistics allow us to analyse risks and consequences and so make informed decisions. Risks are an unavoidable part of modern life, but mathematicians and statisticians have developed a variety of methods to help mitigate its effects. These techniques...

Unravelling the Genetic Code

This Mathematics Matters case study, from the Institute of Mathematics and its Applications, looks at how mathematicians' understanding of knots can help unravel potentially fatal knots in DNA molecules. Understanding how to manipulate tangles of DNA could help us create new treatments for diseases, so...

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