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Display information for equation id:math.221092.18 on revision:221092

* Page found: Stokes' theorem (eq math.221092.18)

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Hash: 8fe31e616cc6336cd942d8f38a574d3b

TeX (original user input):

 \int_\Sigma \nabla \times \mathbf{F} \cdot \mathrm{d}\mathbf{\Sigma} = \oint_{\partial\Sigma} \mathbf{F} \cdot \mathrm{d} \mathbf{r},

LaTeXML (experimental; uses MathML) rendering

MathML (5.591 KB / 1.025 KB) :

Σ × 𝐅 d 𝚺 = Σ 𝐅 d 𝐫 , subscript Σ 𝐅 differential-d 𝚺 subscript contour-integral Σ 𝐅 differential-d 𝐫 {\displaystyle{\displaystyle\int_{\Sigma}\nabla\times\mathbf{F}\cdot\mathrm{d}% \mathbf{\Sigma}=\oint_{\partial\Sigma}\mathbf{F}\cdot\mathrm{d}\mathbf{r},}}
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SVG (9.077 KB / 3.241 KB) :

integral Underscript normal upper Sigma Endscripts nabla times bold upper F dot normal d bold upper Sigma equals contour-integral Underscript partial-differential normal upper Sigma Endscripts bold upper F dot normal d bold r comma

SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (1.815 KB / 477 B) :

Σ × F d Σ = Σ F d r , {\displaystyle \int _{\Sigma }\nabla \times \mathbf {F} \cdot \mathrm {d} \mathbf {\Sigma } =\oint _{\partial \Sigma }\mathbf {F} \cdot \mathrm {d} \mathbf {r} ,}
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SVG (7.047 KB / 2.97 KB) :

{\displaystyle \int _{\Sigma }\nabla \times \mathbf {F} \cdot \mathrm {d} \mathbf {\Sigma } =\oint _{\partial \Sigma }\mathbf {F} \cdot \mathrm {d} \mathbf {r} ,}

PNG (0 B / 8 B) :


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