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Display information for equation id:math.1356.44 on revision:1356

* Page found: Dynamische Systeme und deterministisches Chaos (eq math.1356.44)

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Occurrences on the following pages:

Hash: c148413a653029406b5233926dbc825a

TeX (original user input):

\begin{align}
  & \ddot{\phi }+\frac{2\gamma }{m{{l}^{2}}}\dot{\phi }+{{\omega }^{2}}\sin \phi =0 \\
 & {{\omega }^{2}}=\frac{g}{l} \\
\end{align}

TeX (checked):

{\begin{aligned}&{\ddot {\phi }}+{\frac {2\gamma }{m{{l}^{2}}}}{\dot {\phi }}+{{\omega }^{2}}\sin \phi =0\\&{{\omega }^{2}}={\frac {g}{l}}\\\end{aligned}}

LaTeXML (experimental; uses MathML) rendering

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MathML (experimental; no images) rendering

MathML (1.394 KB / 375 B) :

ϕ¨+2γml2ϕ˙+ω2sinϕ=0ω2=gl
<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>&#x03D5;</mi><mo>¨</mo></mover></mrow></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>&#x03B3;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><msup><mi>l</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03D5;</mi><mo>˙</mo></mover></mrow></mrow><mo>+</mo><msup><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>sin</mi><mo>&#x2061;</mo><mi>&#x03D5;</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Identifiers

  • ϕ¨
  • γ
  • m
  • l
  • ϕ˙
  • ω
  • ϕ
  • ω
  • g
  • l

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