Function terminology

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TODO: This page is just so I can search for terms, it needs to be fleshed out

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]

See also



  1. 1.0 1.1 1.2 Probability and Stochastics - Erhan Cinlar