Function terminology
From Maths
TODO: This page is just so I can search for terms, it needs to be fleshed out
Contents
Table of terms
For a function [ilmath]f:A\rightarrow B[/ilmath] where [ilmath]A[/ilmath] and [ilmath]B[/ilmath] are assumed to be any set unless stated otherwise we say the following about [ilmath]f[/ilmath]:
| Term | [ilmath]A[/ilmath]'s structure | [ilmath]B[/ilmath]'s structure | Definition | Comment |
|---|---|---|---|---|
| Numerical function on [ilmath]A[/ilmath][1] | [ilmath]\overline{\mathbb{R} }=\mathbb{R}\cup\{-\infty,\infty\}[/ilmath] | [ilmath]f:A\rightarrow\overline{\mathbb{R} }[/ilmath] | ||
| Positive valued function on [ilmath]A[/ilmath][1] | [ilmath]\overline{\mathbb{R}_{\ge 0} }=\mathbb{R}_{\ge 0}\cup\{+\infty\}[/ilmath] | [ilmath]f:A\rightarrow\overline{\mathbb{R}_{\ge 0} }[/ilmath] | ||
| Real valued function on [ilmath]A[/ilmath][1] | [ilmath]\mathbb{R} [/ilmath] | [ilmath]f:A\rightarrow\mathbb{R}[/ilmath] |
