Difference between revisions of "Function terminology"
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(Created page with "{{Todo|This page is just so I can search for terms, it needs to be fleshed out}} ==Table of terms== For a function {{M|f:A\rightarrow B}} where {{M|A}} and {{M|B}} are assumed...") |
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Latest revision as of 02:07, 3 August 2015
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] |
