Category:Pointwise Multiplication

This category contains results about Pointwise Multiplication.
Definitions specific to this category can be found in Definitions/Pointwise Multiplication.

The (binary) operation of pointwise multiplication is defined on $\mathbb F^S$ as:

$\times: \mathbb F^S \times \mathbb F^S \to \mathbb F^S: \forall f, g \in \mathbb F^S:$

$\forall s \in S: \map {\paren {f \times g} } s := \map f s \times \map g s$

where the $\times$ on the right hand side is conventional arithmetic multiplication.