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Display information for equation id:math.1802.49 on revision:1802
* Page found: Kovariante Schreibweise der Relativitätstheorie (eq math.1802.49)
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Hash: aede66e214979cdda9c3d930f45d9ae6
TeX (original user input):
\frac{\partial }{\partial {{x}^{i}}}:={{\partial }_{i}}=\frac{\partial }{\partial x{{\acute{\ }}^{k}}}\frac{\partial x{{\acute{\ }}^{k}}}{\partial {{x}^{i}}}={{U}^{k}}_{i}\frac{\partial }{\partial x{{\acute{\ }}^{k}}}={{U}^{k}}_{i}\partial {{\acute{\ }}_{k}}
TeX (checked):
{\frac {\partial }{\partial {{x}^{i}}}}:={{\partial }_{i}}={\frac {\partial }{\partial x{{\acute {\ }}^{k}}}}{\frac {\partial x{{\acute {\ }}^{k}}}{\partial {{x}^{i}}}}={{U}^{k}}_{i}{\frac {\partial }{\partial x{{\acute {\ }}^{k}}}}={{U}^{k}}_{i}\partial {{\acute {\ }}_{k}}
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MathML (2.361 KB / 325 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mrow></mrow></mfrac></mrow><mi>:</mi><mo>=</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mrow></mrow></mfrac></mrow><mo>=</mo><msub><msup><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup></mrow></mrow></mfrac></mrow><mo>=</mo><msub><msup><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>∂</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>
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