I, repeatedly, find this expression used in many places, especially when talking about probabilities. I am interested in understanding the meaning of the expression in a $2$-dimensional and $3$-dimensional spaces.
Let's say we have a set $S$ of $N$ objects that have the same shape.
- What does it mean to evenly distribute the set of objects $S$ on an rectangular area $A$ ?
- The same question but $A$ is now $3$-dimensional space.