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Display information for equation id:math.1341.114 on revision:1341
* Page found: Die Hamilton-Jacobi-Theorie (eq math.1341.114)
(force rerendering)Occurrences on the following pages:
Hash: 850d584955cf2adeed92bd95f59382de
TeX (original user input):
\begin{align}
& \dot{\theta }=\frac{\partial E({{I}_{1}},...,{{I}_{f}})}{\partial {{I}_{k}}}={{\nu }_{k}}({{I}_{1}},...,{{I}_{f}}) \\
& \Rightarrow {{\theta }_{k}}={{\nu }_{k}}t+{{\beta }_{k}} \\
& {{\nu }_{k}}=\frac{1}{{{\tau }_{k}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{\dot {\theta }}={\frac {\partial E({{I}_{1}},...,{{I}_{f}})}{\partial {{I}_{k}}}}={{\nu }_{k}}({{I}_{1}},...,{{I}_{f}})\\&\Rightarrow {{\theta }_{k}}={{\nu }_{k}}t+{{\beta }_{k}}\\&{{\nu }_{k}}={\frac {1}{{\tau }_{k}}}\\\end{aligned}}
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<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"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>θ</mi><mo>˙</mo></mover></mrow></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>E</mi><mo stretchy="false">(</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></msub><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo>=</mo><msub><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></msub><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><msub><mi>θ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>=</mo><msub><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mi>t</mi><mo>+</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>τ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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