Our world’s population is projected to grow. This has sparked international food strategies to support new crop technologies that improve crop output efficiency. Yet limited land available for farming in the UK has been compounded by evolving land use. Weather Logistics, aims to tackle food production issues through better management of UK agricultural risks, by producing fine scale predictions on 25km space-scales at challenging 1-6 month ‘seasonal’ timescales...
Hannah and her sweets have been a hot topic of discussion over the last few days, since the following question appeared on a GCSE mathematics paper, sat by 500,000 teenagers last Thursday: "There are n sweets in a bag. Six of the sweets are orange. The rest of the sweets are yellow. Hannah takes at random a sweet from the bag. She eats the sweet. Hannah then takes at random another sweet from the bag. She eats the sweet. The probability that Hannah eats two orange sweets is 1⁄3. Show that n2-n-90=0." Why were the sweets so sticky?
Since 2007, together with colleagues at the Smith Institute, I have spent a good deal of time working with clients around the globe on auctions for radio spectrum licences. Bearing in mind that auction outcomes can shape a country's mobile telecommunications industry for a decade or more, the tasks of getting the auction designs right […]
Are the mathematical sciences fundamental in data science? Yes! Well, we think so anyway, and a newly formed and quickly growing data science community agrees. From mathematical thinking to complex analytics to method validation, maths in all its stages can add value and create impact.
The purpose of collecting data is to learn from it; and we learn by asking questions. In the data world questions come in the form of estimators that construct some properties of the data. So what are the right questions to ask?
The mathematician goes out to measure the area of a flat triangular field ABC using an electronic device his sister has just given him, on which you can push a button, walk round an area, push the button again and it tells you the area your path has enclosed. When he arrives at A, he decides he can't face walking round the whole field but there is a prominent tree X on the opposite side (BC)...
Why are Secure Passwords Difficult to Remember? By Dr David Allwright, Dr Robert Leese and Dr Zoe Kelson
Making up passwords is annoying. And when you finally come up with something, you always get a message saying it needs to have a capital letter in it, or a number, or a special character. In this post I’m going to explain the maths behind those bothersome messages and suggest a better way to choose […]
Particle Swarm Optimisation: A Case of Mistaken Identity? By Dr David Allwright, Dr Robert Leese and Dr Zoe Kelson
Recently I was working on a project which needed an optimisation algorithm. In other words, we had a function , where is a vector, and I needed to write a computer program to try and find a value of which made as small as possible. Since we wanted the flexibility to change later, so we were limited to a black box optimisation algorithm, i.e. one that doesn't use any special features of the function , including the derivatives of ...