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> | + | | 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>∯</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> | + | | 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>∰</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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