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2020-07-07T13:04:10Z

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This template is used to include the double closed integral, usually in a mathematical formula. It overcomes a limitation of the [[Help:Displaying a formula#\oiint and \oiiint|TeX rendering]] which cannot display this symbol without clumsy workarounds.

==Arguments==

* '''preintegral''' the text or formula immediately before the integral
* '''intsubscpt''' the subscript below the integral
* '''integrand''' the text or formula immediately after the formula

All parameters are optional.

==Examples==

;Two of [[Maxwell's equations]], e.g. the [[Maxwell–Faraday equation]] and [[Ampère's circuital law]] (with Maxwell's addition).

<syntaxhighlight lang="tex">:{{oiint
| preintegral = <math>\oint_C \mathbf{E} \cdot {\rm d} \boldsymbol{\ell} = \frac{\partial }{\partial t} </math>
| intsubscpt = <math>{\scriptstyle S}</math>
| integrand = <math>\mathbf{B} \cdot {\rm d}\mathbf{S}</math>
}}</syntaxhighlight>

:{{oiint
| preintegral = <math>\oint_C \mathbf{E} \cdot {\rm d} \boldsymbol{\ell} = \frac{\partial }{\partial t} </math>
| intsubscpt = <math>{\scriptstyle S}</math>
| integrand = <math>\mathbf{B} \cdot {\rm d}\mathbf{S}</math>
}}

<syntaxhighlight lang="tex">:{{oiint
| preintegral = <math>\oint_C \mathbf{B} \cdot {\rm d} \boldsymbol{\ell} = \mu_0 </math>
| intsubscpt = <math>{\scriptstyle S}</math>
| integrand = <math>\left ( \mathbf{J} + \epsilon_0\frac{\partial \mathbf{E}}{\partial t} \right )\! \cdot {\rm d}\mathbf{S}</math>
}}</syntaxhighlight>

:{{oiint
| preintegral = <math>\oint_C \mathbf{B} \cdot {\rm d} \boldsymbol{\ell} = \mu_0 </math>
| intsubscpt = <math>{\scriptstyle S}</math>
| integrand = <math>\left ( \mathbf{J} + \epsilon_0\frac{\partial \mathbf{E}}{\partial t} \right )\! \cdot {\rm d}\mathbf{S}</math>
}}

== Technical details ==
The \oiint command is not part of [[AMS-LaTeX]], and thus not part of the math support that MediaWiki provides. It is available as a unicode character {{unichar|222F}} but font support for this character can be lacking. For this reason, the template provides an image variant of the character.

==See also==

* {{tl|Oiiint}} (to implement triple closed integrals)
* {{tl|Intorient}} (to implement oriented boundary integrals over a 2-surface and 3-surface)

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Template:Oiint/doc - Revision history

Wikipedia>WOSlinker: change source to syntaxhighlight