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Display information for equation id:math.1994.59 on revision:1994

* Page found: Wirkungs- und Winkelvariable (eq math.1994.59)

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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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θ˙=E(I1,...,If)Ik=νk(I1,...,If)θk=νkt+βkνk=1τk
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>θ</mi><mo>˙</mo></mover><mo stretchy="false">=</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><mi>...</mi><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 stretchy="false">=</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><mi>...</mi><mo>,</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></msub><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false"></mo><msub><mi>θ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mi>t</mi><mo stretchy="false">+</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>ν</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">=</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 class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Identifiers

  • θ˙
  • E
  • I1
  • If
  • Ik
  • νk
  • I1
  • If
  • θk
  • νk
  • t
  • βk
  • νk
  • τk

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