To understand this, you first need to understand what it means when something is not probabilistic.
Something is not probabilistic when given a closed(no interactions with anything else) system at a certain time, there is an unique description of the system for every point in the future...
Why do you say f(p + q) = f(p) + f(q). Do you know what f means? If so, you haven't given that the function f is linear, so you can't do that.
If you don't know what f means, it means it is a function(probably, based on what you need to calculate). A function is a way to notate something...
It is not equivalent to a^2 + b^2 = c^2.
For instance, take a = 3, b = 4.
Then c^2 = \frac{1}{\frac{1}{9} + \frac{1}{16}} = \frac{144}{25} = \frac{12^2}{5^2}.
Also, it's not all the natural numbers below 100, as it needs to satisfy \frac{1}{a^2} + \frac{1}{b^2} = \frac{1}{c^2}, and a = 1...
I am a third year physics and mathematics bachelor student at Utrecht University, and I'm currently thinking about applying for the honours master Theoretical Physics and Mathematics.
I was wondering, though whether there were other Theoretical Physics masters that have a similar focus on...