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Display information for equation id:math.365.2 on revision:365

* Page found: Christoffelsymbole (eq math.365.2)

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Hash: 03bf098fd4fa13cf9cab3fbef973febe

TeX (original user input): 

\Gamma{'}_{\mu \nu }^{\alpha }=\frac{\partial x{{'}^{\alpha }}}{\partial {{x}^{\beta }}}\frac{\partial {{x}^{\rho }}}{\partial x{{'}^{\mu }}}\frac{\partial {{x}^{\sigma }}}{\partial x{{'}^{\nu }}}\Gamma _{\rho \sigma }^{\beta }+\frac{\color{Brown}\partial x{{'}^{\alpha }}}{\partial {{x}^{\beta }}}\frac{{{\partial }^{2}}{{x}^{\beta }}}{\color{Brown}\partial x{{'}^{\mu }}\partial x{{'}^{\nu }}}

TeX (checked): 

\Gamma {'}_{\mu \nu }^{\alpha }={\frac {\partial x{{'}^{\alpha }}}{\partial {{x}^{\beta }}}}{\frac {\partial {{x}^{\rho }}}{\partial x{{'}^{\mu }}}}{\frac {\partial {{x}^{\sigma }}}{\partial x{{'}^{\nu }}}}\Gamma _{\rho \sigma }^{\beta }+{\frac {\color {Brown}\partial x{{'}^{\alpha }}}{\partial {{x}^{\beta }}}}{\frac {{{\partial }^{2}}{{x}^{\beta }}}{\color {Brown}\partial x{{'}^{\mu }}\partial x{{'}^{\nu }}}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (21.937 KB / 2.716 KB) :

Γ α ′ μ ⁢ ν = ∂ x α ′ ∂ ⁡ x β ∂ ⁡ x ρ ∂ x μ ′ ∂ ⁡ x σ ∂ x ν ′ Γ ρ ⁢ σ β + ∂ x α ′ ∂ ⁡ x β ∂ 2 ⁡ x β ∂ x ∂ ′ μ x ν ′ fragments Γ superscript subscript 𝛼 𝜇 𝜈 ′ fragments x superscript superscript absent 𝛼 ′ superscript 𝑥 𝛽 superscript 𝑥 𝜌 fragments x superscript superscript absent 𝜇 ′ superscript 𝑥 𝜎 fragments x superscript superscript absent 𝜈 ′ superscript subscript Γ 𝜌 𝜎 𝛽 fragments x superscript superscript absent 𝛼 ′ superscript 𝑥 𝛽 superscript 2 superscript 𝑥 𝛽 fragments x superscript superscript 𝜇 ′ x superscript superscript absent 𝜈 ′ {\displaystyle{\displaystyle\Gamma{{}^{\prime}}_{\mu\nu}^{\alpha}=\frac{% \partial x{{{}^{\prime}}^{\alpha}}}{\partial{{x}^{\beta}}}\frac{\partial{{x}^{% \rho}}}{\partial x{{{}^{\prime}}^{\mu}}}\frac{\partial{{x}^{\sigma}}}{\partial x% {{{}^{\prime}}^{\nu}}}\Gamma_{\rho\sigma}^{\beta}+\frac{\color[rgb]{0,0,0}% \partial x{{{}^{\prime}}^{\alpha}}}{\partial{{x}^{\beta}}}\frac{{{\partial}^{2% }}{{x}^{\beta}}}{\color[rgb]{0,0,0}\partial x{{{}^{\prime}}^{\mu}}\partial x{{% {}^{\prime}}^{\nu}}}}}

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MathML (3.053 KB / 380 B) :

Γ'μνα=∂x'α∂xβ∂xρ∂x'μ∂xσ∂x'νΓρσβ+∂x'α∂xβ∂2xβ∂x'μ∂x'ν

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Calculated based on the variables occurring on the entire Christoffelsymbole page

Identifiers

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