Pointwise product

In mathematics, the pointwise product of two functions is another function, obtained by multiplying the images of the two functions at each value in the domain. If $f$ and $g$ are both functions with domain $X$ and codomain $Y$ , and elements of $Y$ can be multiplied (for instance, $Y$ could be some set of numbers), then the pointwise product of $f$ and $g$ is another function from $X$ to $Y$ which maps $x$ in $X$ to $f (x) g (x)$ in $Y$ .

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.