Difference between revisions of "Template:Functions"

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imported>Izno
(clean table markup out of here by using more proper list markup, use list markup for other items)
 
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{{Sidebar
 
{{Sidebar
 
  | name = Functions
 
  | name = Functions
| class =            <!--or bodyclass-->
 
| style =            <!--or bodystyle-->
 
| width =
 
| cellspacing =
 
| cellpadding = 0
 
  
| titleclass =
 
 
  | titlestyle = letter-spacing:0.0125em; background-color:#FFCC99
 
  | titlestyle = letter-spacing:0.0125em; background-color:#FFCC99
 
  | title = [[Function (mathematics)|Function]]
 
  | title = [[Function (mathematics)|Function]]
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  | image = {{math|''x'' ↦ ''f''&thinsp;(''x'')|size=250%}}
 
  | image = {{math|''x'' ↦ ''f''&thinsp;(''x'')|size=250%}}
  
| headingclass =
+
  | headingstyle = font-size: 117%; letter-spacing: 0.0125em; font-weight: 500; text-decoration: overline; padding: 5px 0 3px
  | headingstyle = font-size:117%; letter-spacing:0.0125em; font-weight:500; text-decoration:overline; padding:5px 0 3px
 
| contentclass =
 
| contentstyle =
 
  
 
  | heading1 = Examples by [[domain of a function|domain]] and [[codomain]]
 
  | heading1 = Examples by [[domain of a function|domain]] and [[codomain]]
  | content1style =  
+
  | content1style = text-align: left; padding-left: 1.5em;
  | content1 = <table cellpadding="5">
+
  | content1 = {{plainlist|1=
<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>
+
* {{nowrap|1=<span title="arbitrary set" style="color:gray; padding-right: 0.3em">{{math|'''X'''}}</span> <!-- space before comment deliberate
<td title="Boolean codomain">{{math|'''B''',}}</td><td title="Boolean domain">{{math|'''B'''}}</td>
+
--><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[Boolean-valued function|→]]</span> <!--
<td style="font-size:150%; letter-spacing:-0.125em">[[Ordered pair|→]]</td><td title="arbitrary set" style="color:gray">{{math|'''X''',}}</td>
+
--><span title="Boolean codomain" style="padding: 0 0.3em">{{math|'''B''',}}</span> <!--
<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>
+
--><span title="Boolean domain" style="padding: 0 0.3em">{{math|'''B'''}}</span> <!--
</tr>
+
--><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[Ordered pair|→]]</span> <!--
<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>
+
--><span title="arbitrary set" style="color:gray; padding: 0 0.3em;">{{math|'''X''',}}</span> <!--
<td title="integers">{{math|'''Z''',}}</td><td title="integers">{{math|'''Z'''}}</td>
+
--><span title="several Boolean variables, or finite Boolean algebra" style="padding: 0 0.3em">{{math|'''B'''<sup>''n''</sup>}}</span> <!--
<td style="font-size:150%; letter-spacing:-0.125em; padding:5px">[[sequence|→]]</td><td title="arbitrary set" style="color:gray">{{math|'''X'''}}</td>
+
--><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[Boolean function|→]]</span> <!--
</tr>
+
--><span title="Boolean codomain" style="padding-left: 0.3em">{{math|'''B'''}}</span>}}
<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>
+
* {{nowrap|1=<span title="arbitrary set" style="color:gray; padding-right: 0.3em">{{math|'''X'''}}</span> <!--
<td title="real numbers">{{math|'''R''',}}</td><td title="real numbers">{{math|'''R'''}}</td>
+
--><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[integer-valued function|→]]</span> <!--
<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>
+
--><span title="integers" style="padding: 0 0.3em">{{math|'''Z''',}}</span> <!--
<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>
+
--><span title="integers" style="padding: 0 0.3em">{{math|'''Z'''}}</span> <!--
</tr>
+
--><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[sequence|→]]</span> <!--
<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>
+
--><span title="arbitrary set" style="color:gray; padding-left: 0.3em">{{math|'''X'''}}</span>}}
<td title="complex numbers">{{math|'''C''',}}</td><td title="complex numbers">{{math|'''C'''}}</td>
+
* {{nowrap|1=<span title="arbitrary set" style="color:gray; padding-right: 0.3em">{{math|'''X'''}}</span> <!--
<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>
+
--><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[real-valued function|→]]</span> <!--
<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>
+
--><span title="real numbers" style="padding: 0 0.3em">{{math|'''R''',}}</span> <!--
</tr>
+
--><span title="real numbers" style="padding: 0 0.3em">{{math|'''R'''}}</span> <!--
</table>
+
--><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[function of a real variable|→]]</span> <!--
 +
--><span title="arbitrary set" style="color:gray; padding: 0 0.3em">{{math|'''X''',}}</span> <!--
 +
--><span title="real coordinate (or Euclidean) space" style="padding: 0 0.3em">{{math|'''R'''<sup>''n''</sup>}}</span> <!--
 +
--><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[function of several real variables|→]]</span> <!--
 +
--><span title="arbitrary set" style="color:gray; padding-left: 0.3em">{{math|'''X'''}}</span>}}
 +
* {{nowrap|1=<span title="arbitrary set" style="color:gray; padding-right:0.3em">{{math|'''X'''}}</span> <!--
 +
--><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[complex-valued function|→]]</span> <!--
 +
--><span title="complex numbers" style="padding: 0 0.3em">{{math|'''C''',}}</span> <!--
 +
--><span title="complex numbers" style="padding: 0 0.3em">{{math|'''C'''}}</span> <!--
 +
--><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[function of a complex variable|→]]</span> <!--
 +
--><span title="arbitrary set" style="color:gray; padding: 0 0.3em">{{math|'''X''',}}</span> <!--
 +
--><span title="complex coordinate space" style="padding: 0 0.3em">{{math|'''C'''<sup>''n''</sup>}}</span> <!--
 +
--><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[several complex variables|→]]</span> <!--
 +
--><span title="arbitrary set" style="color:gray; padding-left: 0.3em">{{math|'''X'''}}</span>}}
 +
}}
 +
 
 
  | heading2 = [[function space|Classes/properties]] 
 
  | heading2 = [[function space|Classes/properties]] 
  | content2style =  
+
  | content2 = {{flatlist|
| content2 = [[Constant function|Constant]]{{·}} [[Identity function|Identity]]{{·}} [[Linear map|Linear]]{{·}} [[Polynomial]]{{·}} [[Rational function|Rational]]{{·}} [[Algebraic function|Algebraic]]{{·}} [[Analytic function|Analytic]]{{·}} [[Smooth function|Smooth]]{{·}} [[Continuous function|Continuous]]{{·}} [[Measurable function|Measurable]]{{·}} [[Injective function|Injective]]{{·}} [[Surjective function|Surjective]]{{·}} [[Bijection|Bijective]]
+
* [[Constant function|Constant]]
 +
* [[Identity function|Identity]]
 +
* [[Linear map|Linear]]
 +
* [[Polynomial]]
 +
* [[Rational function|Rational]]
 +
* [[Algebraic function|Algebraic]]
 +
* [[Analytic function|Analytic]]
 +
* [[Smooth function|Smooth]]
 +
* [[Continuous function|Continuous]]
 +
* [[Measurable function|Measurable]]
 +
* [[Injective function|Injective]]
 +
* [[Surjective function|Surjective]]
 +
* [[Bijection|Bijective]]
 +
}}
  
  | heading3 =  Constructions  
+
  | heading3 =  Constructions
  | content3style =  
+
  | content3 = {{flatlist|
| content3 = [[Restriction (mathematics)|Restriction]]{{·}} [[function composition|Composition]]{{·}} [[Lambda calculus|λ]]{{·}} [[Inverse function|Inverse]]
+
* [[Restriction (mathematics)|Restriction]]
 +
* [[function composition|Composition]]
 +
* [[Lambda calculus|λ]]
 +
* [[Inverse function|Inverse]]
 +
}}
  
 
  | heading4 =  Generalizations  
 
  | heading4 =  Generalizations  
  | content4style =  
+
  | content4 = {{flatlist|
| content4 = [[Partial function|Partial]]{{·}} [[Multivalued function|Multivalued]]{{·}} [[Implicit function|Implicit]]
+
* [[Partial function|Partial]]
 
+
* [[Multivalued function|Multivalued]]
| belowclass =
+
* [[Implicit function|Implicit]]
| belowstyle =
+
}}
| below =
 
| wraplinks =        <!--true or false-->
 
 
}}<noinclude>
 
}}<noinclude>
  

Latest revision as of 20:27, 7 January 2021

See also