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Display information for equation id:math.1798.45 on revision:1798
* Page found: Kovariante Schreibweise der Relativitätstheorie (eq math.1798.45)
(force rerendering)Occurrences on the following pages:
Hash: 64989f59b8e316014bd5379856545d62
TeX (original user input):
\begin{align}
& a{{\acute{\ }}^{i}}={{U}^{i}}_{k}{{a}^{k}} \\
& b{{\acute{\ }}^{i}}={{U}^{i}}_{k}{{b}^{k}}\Rightarrow b{{\acute{\ }}_{i}}={{U}_{ik}}{{b}^{k}}={{U}_{i}}^{k}{{b}_{k}} \\
& a{{\acute{\ }}^{i}}b{{\acute{\ }}_{i}}={{U}^{i}}_{k}{{U}_{i}}^{l}{{a}^{k}}{{b}_{l}}=!={{a}^{k}}{{b}_{k}} \\
& also\Rightarrow : \\
& {{U}^{i}}_{k}{{U}_{i}}^{l}={{\delta }_{k}}^{l} \\
\end{align}
TeX (checked):
{\begin{aligned}&a{{\acute {\ }}^{i}}={{U}^{i}}_{k}{{a}^{k}}\\&b{{\acute {\ }}^{i}}={{U}^{i}}_{k}{{b}^{k}}\Rightarrow b{{\acute {\ }}_{i}}={{U}_{ik}}{{b}^{k}}={{U}_{i}}^{k}{{b}_{k}}\\&a{{\acute {\ }}^{i}}b{{\acute {\ }}_{i}}={{U}^{i}}_{k}{{U}_{i}}^{l}{{a}^{k}}{{b}_{l}}=!={{a}^{k}}{{b}_{k}}\\&also\Rightarrow :\\&{{U}^{i}}_{k}{{U}_{i}}^{l}={{\delta }_{k}}^{l}\\\end{aligned}}
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