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Display information for equation id:math.357.0 on revision:357

* Page found: Kovariante Ableitung (eq math.357.0)

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Hash: 2b2ded49e72e3d49744cf8a170dc9832

TeX (original user input): 

\begin{align}
T_{{\color{Orange}rs...}; \color{Red}l}^{\color{Blue}ik...}
 =
T_{{\color{Orange}rs...}, \color{Red}l}^{\color{Blue} ik...}&
 +
\Gamma _{ m\color{Red}l}^{\color{Blue}i}T_{\color{Orange}rs...}^{m\color{Blue}k...}\quad&&
 +
\Gamma _{m\color{Red}l}^{\color{Blue}i}T_{\color{Orange}rs...}^{{\color{Blue}r}m\color{Blue}...}... &\quad&
{\color{Blue}\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden oberen Index}} \\
 & +
\Gamma _{\color{Orange}r\color{Red}l}^{m}T_{m\color{Orange}s...}^{ \color{Blue}ik...}\quad&&
+
\Gamma _{\color{Orange}r\color{Red}l}^{m}T_{{\color{Orange}r}m\color{Orange}...}^{ \color{Blue}ik...}...&&
\color{Orange}{\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden unteren Index}} \\
\end{align}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (38.892 KB / 3.876 KB) :

T r ⁢ s ⁢ … ; l i ⁢ k ⁢ … = T r ⁢ s ⁢ … , l i ⁢ k ⁢ … + Γ m ⁢ l i ⁢ T r ⁢ s ⁢ … m ⁢ k ⁢ … + Γ m ⁢ l i ⁢ T r ⁢ s ⁢ … r ⁢ m ⁢ … ⁢ … f  ⁢ u ¨ ⁢  r jeden oberen Index + Γ r ⁢ l m ⁢ T m ⁢ s ⁢ … i ⁢ k ⁢ … + Γ r ⁢ l m ⁢ T r ⁢ m ⁢ … i ⁢ k ⁢ … ⁢ … f  ⁢ u ¨ ⁢  r jeden unteren Index superscript subscript 𝑇 𝑟 𝑠 … 𝑙 𝑖 𝑘 … superscript subscript 𝑇 𝑟 𝑠 … 𝑙 𝑖 𝑘 … superscript subscript Γ 𝑚 𝑙 𝑖 superscript subscript 𝑇 𝑟 𝑠 … 𝑚 𝑘 … missing-subexpression superscript subscript Γ 𝑚 𝑙 𝑖 superscript subscript 𝑇 𝑟 𝑠 … 𝑟 𝑚 … … missing-subexpression f  ¨ u  r jeden oberen Index missing-subexpression superscript subscript Γ 𝑟 𝑙 𝑚 superscript subscript 𝑇 𝑚 𝑠 … 𝑖 𝑘 … missing-subexpression superscript subscript Γ 𝑟 𝑙 𝑚 superscript subscript 𝑇 𝑟 𝑚 … 𝑖 𝑘 … … missing-subexpression f  ¨ u  r jeden unteren Index {\displaystyle{\displaystyle\begin{aligned} \displaystyle T_{{\color[rgb]{% 0,0,0}rs...};\color[rgb]{0,0,0}l}^{\color[rgb]{0,0,0}ik...}=T_{{\color[rgb]{% 0,0,0}rs...},\color[rgb]{0,0,0}l}^{\color[rgb]{0,0,0}ik...}&\displaystyle+% \Gamma_{m\color[rgb]{0,0,0}l}^{\color[rgb]{0,0,0}i}T_{\color[rgb]{0,0,0}rs...}% ^{m\color[rgb]{0,0,0}k...}&&\displaystyle+\Gamma_{m\color[rgb]{0,0,0}l}^{% \color[rgb]{0,0,0}i}T_{\color[rgb]{0,0,0}rs...}^{{\color[rgb]{0,0,0}r}m\color[% rgb]{0,0,0}...}...&&\displaystyle{\color[rgb]{0,0,0}\text{f }\!\!\ddot{\mathrm% {u}}\!\!\text{ r jeden oberen Index}}\\ &\displaystyle+\Gamma_{\color[rgb]{0,0,0}r\color[rgb]{0,0,0}l}^{m}T_{m\color[% rgb]{0,0,0}s...}^{\color[rgb]{0,0,0}ik...}&&\displaystyle+\Gamma_{\color[rgb]{% 0,0,0}r\color[rgb]{0,0,0}l}^{m}T_{{\color[rgb]{0,0,0}r}m\color[rgb]{0,0,0}...}% ^{\color[rgb]{0,0,0}ik...}...&&\displaystyle\color[rgb]{0,0,0}{\text{f }\!\!% \ddot{\mathrm{u}}\!\!\text{ r jeden unteren Index}}\\ \end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (7.018 KB / 625 B) :

Trs...;lik...=Trs...,lik...+ΓmliTrs...mk...+ΓmliTrs...rm......f u¨ r jeden oberen Index+ΓrlmTms...ik...+ΓrlmTrm...ik......f u¨ r jeden unteren Index

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