模板:Oiint
<math>\oiint</math>\oiint
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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 TeX rendering which cannot display this symbol without clumsy workarounds.
Arguments[編輯]
- 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[編輯]
- Two of Maxwell's equations
{{oiint
| preintegral = <math>\oint_C \bold{E} \cdot {\rm d} \boldsymbol{\ell} = \frac{\partial }{\partial t} </math>
| intsubscpt = <math>{\scriptstyle S}</math>
| integrand = <math>\bold{B} \cdot {\rm d}\bold{S}</math>
}}
<math>\oint_C \bold{E} \cdot {\rm d} \boldsymbol{\ell} = \frac{\partial }{\partial t} </math><math>\oiint</math>\oiint<math>{\scriptstyle S}</math><math>\bold{B} \cdot {\rm d}\bold{S}</math>
{{oiint
| preintegral = <math>\oint_C \bold{B} \cdot {\rm d} \boldsymbol{\ell} = \mu_0 </math>
| intsubscpt = <math>{\scriptstyle S}</math>
| integrand = <math>\left ( \bold{J} + \epsilon_0\frac{\partial \bold{E}}{\partial t} \right ) \cdot {\rm d}\bold{S}</math>
}}
<math>\oint_C \bold{B} \cdot {\rm d} \boldsymbol{\ell} = \mu_0 </math><math>\oiint</math>\oiint<math>{\scriptstyle S}</math><math>\left ( \bold{J} + \epsilon_0\frac{\partial \bold{E{\partial t} \right ) \cdot {\rm d}\bold{S}</math> }}
See also[編輯]
- {{Oiiint}}
Oriented boundary integrals over a 2-surface and 3-surface can be implemented by:
- {{intorient}}