Jump to navigation
Jump to search
General
Display information for equation id:math.391.0 on revision:391
* Page found: Riemannscher Krümmungstensor (eq math.391.0)
(force rerendering)Occurrences on the following pages:
Hash: dc6e8906e306d2ec0cd46d8462866ddd
TeX (original user input):
{R^{\color{Violet}\alpha}} _
{{\color{WildStrawberry}\beta} {\color{Orange}\mu} {\color{Red}\nu}}
=
{\partial _{\color{Orange}\mu}}
\Gamma _{{\color{WildStrawberry}\beta} {\color{Red}\nu} }^{\color{Violet}\alpha}
-
{\partial _{{\color{Orange}\mu} {\color{Red}\nu}}}
\Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\mu} }^{\color{Violet}\alpha}
+
\Gamma _{\sigma {\color{Orange}\mu} } ^ {\color{Violet}\alpha}
\Gamma _{{\color{WildStrawberry}\beta} {\color{Red}\nu} }^\sigma
-
\Gamma _{\sigma {\color{Red}\nu}} ^ {\color{Violet}\alpha}
\Gamma _{{\color{WildStrawberry}\beta} {\color{Orange}\mu} }^\sigma
TeX (checked):
{R^{\color {Violet}\alpha }}_{{\color {WildStrawberry}\beta }{\color {Orange}\mu }{\color {Red}\nu }}={\partial _{\color {Orange}\mu }}\Gamma _{{\color {WildStrawberry}\beta }{\color {Red}\nu }}^{\color {Violet}\alpha }-{\partial _{{\color {Orange}\mu }{\color {Red}\nu }}}\Gamma _{{\color {WildStrawberry}\beta }{\color {Orange}\mu }}^{\color {Violet}\alpha }+\Gamma _{\sigma {\color {Orange}\mu }}^{\color {Violet}\alpha }\Gamma _{{\color {WildStrawberry}\beta }{\color {Red}\nu }}^{\sigma }-\Gamma _{\sigma {\color {Red}\nu }}^{\color {Violet}\alpha }\Gamma _{{\color {WildStrawberry}\beta }{\color {Orange}\mu }}^{\sigma }
LaTeXML (experimental; uses MathML) rendering
MathML (0 B / 8 B) :
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (3.447 KB / 361 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>α</mi></mstyle></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>β</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>ν</mi></mstyle></mrow></mrow></mrow></msub><mo>=</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow></mrow></msub><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>β</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>ν</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>α</mi></mstyle></mrow></mrow></msubsup><mo>−</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>ν</mi></mstyle></mrow></mrow></mrow></msub><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>β</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>α</mi></mstyle></mrow></mrow></msubsup><mo>+</mo><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>α</mi></mstyle></mrow></mrow></msubsup><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>β</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>ν</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msubsup><mo>−</mo><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#ED1B23"><mi>ν</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#58429B"><mi>α</mi></mstyle></mrow></mrow></msubsup><msubsup><mi mathvariant="normal">Γ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#EE2967"><mi>β</mi></mstyle></mrow><mrow data-mjx-texclass="ORD"><mstyle mathcolor="#F58137"><mi>μ</mi></mstyle></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msubsup></mstyle></mrow></math>
Translations to Computer Algebra Systems
Translation to Maple
In Maple:
Translation to Mathematica
In Mathematica:
Similar pages
Calculated based on the variables occurring on the entire Riemannscher Krümmungstensor page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results