Gibbs probability density

The Gibbs probability density in a classical Klein-Gordon field was an equation marked on the blackboard by Coal Hill physics teacher Miss Quill in October 2016. She asked the class to simplify the equation. Tanya Adeola was the only one in the class to recognise it for what it was.

Tanya later helped Ram Singh solve the equation over a Chat call, and he was successful. (TV: For Tonight We Might Die)

Behind the scenes
In real life, the Gibbs probability density function is better known as the Boltzmann distribution. It gives the probability that a system will be in a certain state as a function of that state's energy and the temperature of the system.