Difference between revisions of "Template:Functions"
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imported>Alexwho314 m (Removed visible HTML tag) |
imported>Purgy Purgatorio (→top: gaming around) |
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| contentstyle = | | contentstyle = | ||
| − | | heading1 = | + | | heading1 = Examples by [[domain of a function|domain]] and [[codomain]] |
| content1style = | | content1style = | ||
| − | | content1 = <table cellpadding=" | + | | content1 = <table cellpadding="3"> |
| − | <tr> <td title="arbitrary set" style="color:gray; padding-left:0.5em">{{math|'''X'''}}</td><td style="font-size:150%; letter-spacing:-0.125em | + | <tr> <td title="arbitrary set" style="color:gray; padding-left:0.5em">{{math|'''X'''}}</td><td style="font-size:150%; letter-spacing:-0.125em">[[Boolean-valued function|→]]</td> |
| − | <td title="Boolean domain">{{math|'''B'''}}</td><td style="font-size:150%; letter-spacing:-0.125em | + | <td title="Boolean codomain">{{math|'''B''',}}</td><td title="Boolean domain">{{math|'''B'''}}</td> |
| − | <td title="several Boolean variables, or finite Boolean algebra | + | <td style="font-size:150%; letter-spacing:-0.125em">[[Ordered pair|→]]</td><td title="arbitrary set" style="color:gray">{{math|'''X''',}}</td> |
| + | <td title="several Boolean variables, or finite Boolean algebra"> {{math|'''B'''<sup>''n''</sup>}}</td><td style="font-size:150%; letter-spacing:-0.125em">[[Boolean function|→]]</td><td title="Boolean codomain">{{math|'''B'''}}</td> | ||
</tr> | </tr> | ||
| − | <tr> <td title="arbitrary set" style="color:gray; padding-left:0.5em">{{math|'''X'''}}</td><td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[integer-valued function| | + | <tr> <td title="arbitrary set" style="color:gray; padding-left:0.5em">{{math|'''X'''}}</td><td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[integer-valued function|→]]</td> |
| − | <td title="integers">{{math|'''Z'''}}</td><td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[sequence| | + | <td title="integers">{{math|'''Z''',}}</td><td title="integers">{{math|'''Z'''}}</td> |
| + | <td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[sequence|→]]</td><td title="arbitrary set" style="color:gray">{{math|'''X''',}}</td> | ||
</tr> | </tr> | ||
| − | <tr> <td title="arbitrary set" style="color:gray; padding-left:0.5em">{{math|'''X'''}}</td><td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[real-valued function| | + | <tr> <td title="arbitrary set" style="color:gray; padding-left:0.5em">{{math|'''X'''}}</td><td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[real-valued function|→]]</td> |
| − | <td title="real numbers">{{math|'''R'''}}</td><td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[function of a real variable| | + | <td title="real numbers">{{math|'''R''',}}</td><td title="real numbers">{{math|'''R'''}}</td> |
| − | <td title="real coordinate (or Euclidean) space | + | <td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[function of a real variable|→]]</td><td title="arbitrary set" style="color:gray">{{math|'''X''',}}</td> |
| + | <td title="real coordinate (or Euclidean) space">{{math|'''R'''<sup>''n''</sup>}}</td><td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[function of several real variables|→]]</td><td title="arbitrary set" style="color:gray">{{math|'''X'''}}</td> | ||
</tr> | </tr> | ||
| − | <tr> <td title="arbitrary set" style="color:gray; padding-left:0.5em">{{math|'''X'''}}</td><td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[complex-valued function| | + | <tr> <td title="arbitrary set" style="color:gray; padding-left:0.5em">{{math|'''X'''}}</td><td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[complex-valued function|→]]</td> |
| − | <td title="complex numbers">{{math|'''C'''}}</td><td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[function of a complex variable| | + | <td title="complex numbers">{{math|'''C''',}}</td><td title="complex numbers">{{math|'''C'''}}</td> |
| − | <td title="complex coordinate space | + | <td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[function of a complex variable|→]]</td><td title="arbitrary set" style="color:gray">{{math|'''X''',}}</td> |
| + | <td title="complex coordinate space">{{math|'''C'''<sup>''n''</sup>}}</td><td style="font-size:150%; letter-spacing:-0.125em">[[several complex variables|→]]</td><td title="arbitrary set" style="color:gray">{{math|'''X'''}}</td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
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| wraplinks = <!--true or false--> | | wraplinks = <!--true or false--> | ||
}}<noinclude> | }}<noinclude> | ||
| + | |||
==See also== | ==See also== | ||
{{Math templates|boxes}} | {{Math templates|boxes}} | ||
</noinclude> | </noinclude> | ||
Revision as of 12:28, 6 May 2018
| Function | |||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| x ↦ f (x) | |||||||||||||||||||||||||||||||||
| Examples by domain and codomain | |||||||||||||||||||||||||||||||||
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| Classes/properties | |||||||||||||||||||||||||||||||||
| Constant · Identity · Linear · Polynomial · Rational · Algebraic · Analytic · Smooth · Continuous · Measurable · Injective · Surjective · Bijective | |||||||||||||||||||||||||||||||||
| Constructions | |||||||||||||||||||||||||||||||||
| Restriction · Composition · λ · Inverse | |||||||||||||||||||||||||||||||||
| Generalizations | |||||||||||||||||||||||||||||||||
| Partial · Multivalued · Implicit | |||||||||||||||||||||||||||||||||