Posted by Tom Brown on Sun, 26 May 2019
The idea of a semi-group appeals strongly to the everyday experience of time.
A restriction, a kind of “reversibility property” may be assumed, that is the existence of inverses. This leads to the concept of a dynamical system which is very popular in Poland.
Examples of semigoups in one-dimensional phase space as well as two examples of trajectories through 2D. They are all based on properties of the exponential function, the parameter t would be time.