Difference between revisions of "Documentation/AOO4 User Guides/Math Guide/Math Commands Reference/Operators"

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| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Limit
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Limit
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| lim{a}
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| lim{a}
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\mathit{\lim }a</math>
+
| style="text-align:center; background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\mathit{\lim }a</math>
  
 
|-
 
|-
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Sum
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Sum
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| sum{a}
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| sum{a}
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\sum a</math>
+
| style="text-align:center; background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\sum a</math>
  
 
|-
 
|-
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Product
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Product
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| prod{a}  
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| prod{a}  
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\prod a</math>
+
| style="text-align:center; background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\prod a</math>
  
 
|-
 
|-
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Coproduct
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Coproduct
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| coprod{a}
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| coprod{a}
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\coprod a</math>
+
| style="text-align:center; background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\coprod a</math>
  
 
|-
 
|-
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Upper and lower bounds shown with integral
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Upper and lower bounds shown with integral
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| int from {r_0} to {r_t} a
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| int from {r_0} to {r_t} a
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\underset{{r}_{0}}{\overset{{r}_{t}}{\int }}a</math>
+
| style="text-align:center; background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\underset{{r}_{0}}{\overset{{r}_{t}}{\int }}a</math>
  
 
|-
 
|-
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Integral
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Integral
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| int{a}
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| int{a}
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\int a</math>
+
| style="text-align:center; background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\int a</math>
  
 
|-
 
|-
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Double integral
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Double integral
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| iint{a}
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| iint{a}
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\iint a</math>
+
| style="text-align:center; background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\iint a</math>
  
 
|-
 
|-
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Triple integral
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Triple integral
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| iiint{a}
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| iiint{a}
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\iiint a</math>
+
| style="text-align:center; background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\iiint a</math>
  
 
|-
 
|-
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Lower bound shown with summation symbol  
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Lower bound shown with summation symbol  
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| sum from{3}b  
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| sum from{3}b  
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\sum _{3}b</math>
+
| style="text-align:center; background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\sum _{3}b</math>
  
 
|-
 
|-
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Contour integral
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Contour integral
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| lint a  
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| lint a  
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\oint a</math>
+
| style="text-align:center; background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\oint a</math>
  
 
|-
 
|-
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Double curved integral
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Double curved integral
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| llint a  
 
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| llint a  
| style="background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\oiint a</math>
+
| style="text-align:center; background-color:transparent;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <big>&#8751;</big> <math>a</math>
  
 
|-
 
|-
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Triple curved integral
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Triple curved integral
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| lllint a  
 
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| lllint a  
| style="background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\oiiint a</math>
+
| style="text-align:center; background-color:#cfe7f5;border-top:none;border-bottom:none;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <big>&#8752;</big> <math>a</math>
  
 
|-
 
|-
 
| style="background-color:transparent;border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Upper bound shown with product symbol
 
| style="background-color:transparent;border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| Upper bound shown with product symbol
 
| style="background-color:transparent;border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| prod to{3} r
 
| style="background-color:transparent;border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.15cm;"| prod to{3} r
| style="background-color:transparent;border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\prod ^{3}r</math>
+
| style="text-align:center; background-color:transparent;border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.15cm;"| <math>\prod ^{3}r</math>
  
 
|}
 
|}

Latest revision as of 06:39, 12 May 2026



Operators

All operators can be used with the limit functions from and to.

Operation Command Display
Limit lim{a} Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathit{\lim }a}
Sum sum{a} Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum a}
Product prod{a} Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \prod a}
Coproduct coprod{a} Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \coprod a}
Upper and lower bounds shown with integral int from {r_0} to {r_t} a Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \underset{{r}_{0}}{\overset{{r}_{t}}{\int }}a}
Integral int{a} Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int a}
Double integral iint{a} Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \iint a}
Triple integral iiint{a} Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \iiint a}
Lower bound shown with summation symbol sum from{3}b Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum _{3}b}
Contour integral lint a Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \oint a}
Double curved integral llint a Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a}
Triple curved integral lllint a Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a}
Upper bound shown with product symbol prod to{3} r Failed to parse (MathML met SVG- of PNG-terugval (aanbevolen voor moderne browsers en toegankelijkheidshulpmiddelen): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \prod ^{3}r}
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