👉 In mathematics, a pointwise operation is an operation that takes one element of a set and returns another element. For example, in linear algebra, the dot product of two vectors can be defined as a pointwise operation where the result is the scalar product of the two vectors. A pointwise operation has the following properties: 1. It is associative: If $a \circ b = c$, then $b \circ a = c$. 2. It commutes with all other operations:
