## Number of days until first Premier League manager sacking

I’ll get straight to the point, on average the first Premier League manager is sacked after 77 days.

Football

## Rooney Most Capped Outfield Player – updated data

About a year ago I wrote a post examining the data when Rooney become England’s highest ever goal scorer. Now he has become the most capped outfield player I thought I should update the stats.

Football

## Relegated Stadia from the Premier League

From the Premier League this season (2015/16) Aston Villa, Newcastle United and Norwich City were relegated. This represents the largest capacity of stadia relegated from the division since only 3 teams were relegated (a total of 122,331). This post contains the data (stadia capacity) for each of the relegated teams, since the 1995/96 season.

Maths on a Mug

## Maths on a Mug #14

#mathsonamug #maths #puzzle pic.twitter.com/jbbehLQbp7 — Dr. Sean (@seanelvidge) January 29, 2016 A question I really like because of the logical way of thinking about the answer. First we assume that we do not allow the trivial answer where \(n=m=q=0\). Then rewrite the equation as: \[2^n + 3^m = 5^q+1.\] Now \(2^n\) must be even for […]

Maths on a Mug

## Maths on a Mug #13

#mathsonamug #maths pic.twitter.com/zzl8CjKZ3o — Dr. Sean (@seanelvidge) January 26, 2016 A classic! This is my favourite result from Graph Theory. The branch of mathematics invented by Euler, this theorem is known as Euler’s Formula. It is a remarkable fact that for any planar graph (edges only intersect at their endpoints) the number of faces (regions […]

Maths on a Mug

## Maths on a Mug #12

#mathsonamug #maths pic.twitter.com/7GmWSFAfYP — Dr. Sean (@seanelvidge) January 25, 2016 One of the more common things that I’ve been asked recently. Mostly this comes from people who have watched the incredibly successful Numperphile video, but the result was well known before then. There are a number of ways to ‘prove’ this result, giving rise to […]

Maths on a Mug

## Maths on a Mug #11

#mathsonamug #maths pic.twitter.com/REPJ4xFhT9 — Dr. Sean (@seanelvidge) January 22, 2016 Primes. Primes. Primes. The hunt continually goes on for the next biggest. Well, yesterday, we found a new largest. \(2^{74207281}-1\) is the 49th Mersenne Prime that has been found. It is 22,338,618 digits long (click the link to download the whole number, be warned though, the file is […]

Maths on a Mug

## Maths on a Mug #10

#mathsonamug #maths pic.twitter.com/YV2iIOuinu — Dr. Sean (@seanelvidge) January 21, 2016 Another University of Birmingham Mathematics department mug. The ‘Blakelet’ named after Professor John Blake at the University is a based upon a 1971 paper investigating the velocity and pressure fields for Stokes’s flow due to a point force.

Maths on a Mug

## Maths on a Mug #9

#mathsonamug #maths pic.twitter.com/Af8IJ9uGbw — Dr. Sean (@seanelvidge) January 20, 2016 Fermat’s Last Theorem is a celebrated result in mathematics, simply it says that: There are no three positive integers \(a,\,b,\,c\) such that \(a^n+b^n=c^n\) for any value of \(n>2\). For the value \(n=2\) this is the well known Pythagoras theorem. A simple theorem to state, but […]

Maths on a Mug

## Maths on a Mug #8

#mathsonamug #maths pic.twitter.com/gDWvKSfTlN — Dr. Sean (@seanelvidge) January 19, 2016 This is the first post related to my work at the moment. I’ve been using a branch of statistics called ‘Extreme Value Theory’ in order to come up with a statistical analysis of extreme space weather events. This approach has been used in a variety […]