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 | ||
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| 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'' (''x'')|size=250%}} | | image = {{math|''x'' ↦ ''f'' (''x'')|size=250%}} | ||
− | + | | 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 | ||
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| 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 = | + | | content1 = {{plainlist|1= |
− | < | + | * {{nowrap|1=<span title="arbitrary set" style="color:gray; padding-right: 0.3em">{{math|'''X'''}}</span> <!-- space before comment deliberate |
− | + | --><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[Boolean-valued function|→]]</span> <!-- | |
− | < | + | --><span title="Boolean codomain" style="padding: 0 0.3em">{{math|'''B''',}}</span> <!-- |
− | + | --><span title="Boolean domain" style="padding: 0 0.3em">{{math|'''B'''}}</span> <!-- | |
− | < | + | --><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[Ordered pair|→]]</span> <!-- |
− | + | --><span title="arbitrary set" style="color:gray; padding: 0 0.3em;">{{math|'''X''',}}</span> <!-- | |
− | + | --><span title="several Boolean variables, or finite Boolean algebra" style="padding: 0 0.3em">{{math|'''B'''<sup>''n''</sup>}}</span> <!-- | |
− | < | + | --><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[Boolean function|→]]</span> <!-- |
− | + | --><span title="Boolean codomain" style="padding-left: 0.3em">{{math|'''B'''}}</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">[[integer-valued function|→]]</span> <!-- | |
− | < | + | --><span title="integers" style="padding: 0 0.3em">{{math|'''Z''',}}</span> <!-- |
− | + | --><span title="integers" style="padding: 0 0.3em">{{math|'''Z'''}}</span> <!-- | |
− | + | --><span style="font-size:150%; letter-spacing:-0.125em; padding: 0 0.3em">[[sequence|→]]</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">[[real-valued function|→]]</span> <!-- |
− | + | --><span title="real numbers" style="padding: 0 0.3em">{{math|'''R''',}}</span> <!-- | |
− | + | --><span title="real numbers" style="padding: 0 0.3em">{{math|'''R'''}}</span> <!-- | |
− | + | --><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]] | ||
− | | | + | | content2 = {{flatlist| |
− | + | * [[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 = | + | | heading3 = Constructions |
− | | | + | | content3 = {{flatlist| |
− | + | * [[Restriction (mathematics)|Restriction]] | |
+ | * [[function composition|Composition]] | ||
+ | * [[Lambda calculus|λ]] | ||
+ | * [[Inverse function|Inverse]] | ||
+ | }} | ||
| heading4 = Generalizations | | heading4 = Generalizations | ||
− | | | + | | content4 = {{flatlist| |
− | + | * [[Partial function|Partial]] | |
− | + | * [[Multivalued function|Multivalued]] | |
− | + | * [[Implicit function|Implicit]] | |
− | + | }} | |
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}}<noinclude> | }}<noinclude> | ||
Latest revision as of 20:27, 7 January 2021
Function |
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x ↦ f (x) |
Examples by domain and codomain |
Classes/properties |
Constructions |
Generalizations |