This template is used to include the double closed integral, usually in a mathematical formula. It overcomes a limitation of the TeX rendering which cannot display this symbol without clumsy workarounds.

Arguments

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  • 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

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Two of Maxwell's equations, e.g. the Maxwell–Faraday equation and Ampère's circuital law (with Maxwell's addition).
{{block indent|{{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>
}}}}
\oiint
{{block indent|{{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>
}}}}
\oiint

Technical details

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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 U+222F SURFACE INTEGRAL but font support for this character can be lacking. For this reason, the template provides an image variant of the character.

See also

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