Шаблон:Oiint/doc

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 _{C}{\mathbf {E}}\cdot {\rm {d}}{\boldsymbol {\ell }}={\frac {\partial }{\partial t}}$${\scriptstyle S}$${\mathbf {B}}\cdot {\rm {d}}{\mathbf {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 _{C}{\mathbf {B}}\cdot {\rm {d}}{\boldsymbol {\ell }}=\mu _{0}$${\scriptstyle S}$$\left({\mathbf {J}}+\epsilon _{0}{\frac {\partial {\mathbf {E}}}{\partial t}}\right)\cdot {\rm {d}}{\mathbf {S}}$

See also

• {{Oiiint}}

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

• {{intorient}}