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Count down to Christmas with maths!

Where do the magnetic fields of planets and stars come from?

- In this podcast Paul Shepherd tells us about the maths of football stadiums and why his work required him to listen to Belgian techno.
Amidst all the controversy of the FIFA World Cup 2022 there is also some football to be played. And where there's football, there's maths...

Tosin uses maths to guarantee the continued production of chocolate.

It is worth noting that N-bonacci sequences have a very practical application. They form the basis of what are called FIR (finite impulse response) digital filters. These are very widely used in applications to process signals. For example your mobile phone has many digital filters in it and these make the sound much better, so that you can talk to someone a long way away without interference. The performance of the digital filter is studied using the Z-transform which is a generalisation of the methods used to give equation (1) above. The infinacci sequence arises when you study IIR or inifinite impulse response digital filters. Interstingly these can be generated without using an inifinite number of terms, but that is another (quite long) story.