Jump to navigation Jump to search

General

Display information for equation id:math.1342.114 on revision:1342

* Page found: Die Hamilton-Jacobi-Theorie (eq math.1342.114)

(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}}

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 (2.067 KB / 428 B) :

θ˙=E(I1,...,If)Ik=νk(I1,...,If)θk=νkt+βkνk=1τk
<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>&#x03B8;</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>&#x2202;</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>&#x2202;</mi><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo>=</mo><msub><mi>&#x03BD;</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>&#x21D2;</mo><msub><mi>&#x03B8;</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>=</mo><msub><mi>&#x03BD;</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mi>t</mi><mo>+</mo><msub><mi>&#x03B2;</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>&#x03BD;</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>&#x03C4;</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>

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 Die Hamilton-Jacobi-Theorie page

Identifiers

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

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results