Template:Oiint/doc

Template: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

{{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>
}}

${\oint }_C𝐄\cdot \mathrm{d}\mathit{\ell }=\frac{\partial }{\partial t}$$\text{∯}$$S$$𝐁\cdot \mathrm{d}𝐒$

{{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>
}}

${\oint }_C𝐁\cdot \mathrm{d}\mathit{\ell }={\mu }_0$$\text{∯}$$S$$(𝐉+{ϵ}_0\frac{\partial 𝐄}{\partial t})\cdot \mathrm{d}𝐒$

See also

• Template:Tl

Oriented boundary integrals over a 2-surface and 3-surface can be implemented by:

• Template:Tl