قالب:Oiint/doc
قالب:صفحه متأرشفه قالب:Documentation subpage 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
- 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).
:{{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
| 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 قالب:Unichar but font support for this character can be lacking. For this reason, the template provides an image variant of the character.
See also
- قالب:Tl (to implement triple closed integrals)
- قالب:Tl (to implement oriented boundary integrals over a 2-surface and 3-surface)