Jump to navigation
Jump to search
General
Display information for equation id:math.1356.115 on revision:1356
* Page found: Dynamische Systeme und deterministisches Chaos (eq math.1356.115)
(force rerendering)Occurrences on the following pages:
Hash: ee5ccffdc2c06e4f48b1c07f0100b1cd
TeX (original user input):
\left( \begin{matrix}
\delta {{{\dot{\omega }}}_{1}} \\
\delta {{{\dot{\omega }}}_{2}} \\
\delta {{{\dot{\omega }}}_{3}} \\
\end{matrix} \right)=A\left( \begin{matrix}
\delta {{\omega }_{1}} \\
\delta {{\omega }_{2}} \\
\delta {{\omega }_{3}} \\
\end{matrix} \right)=\left( \begin{matrix}
0 & -{{k}_{1}}{{\omega }_{3}} & -{{k}_{1}}{{\omega }_{2}} \\
{{k}_{2}}{{\omega }_{3}} & 0 & {{k}_{2}}{{\omega }_{1}} \\
-{{k}_{3}}{{\omega }_{2}} & -{{k}_{3}}{{\omega }_{1}} & 0 \\
\end{matrix} \right)\left( \begin{matrix}
\delta {{\omega }_{1}} \\
\delta {{\omega }_{2}} \\
\delta {{\omega }_{3}} \\
\end{matrix} \right)
TeX (checked):
\left({\begin{matrix}\delta {{\dot {\omega }}_{1}}\\\delta {{\dot {\omega }}_{2}}\\\delta {{\dot {\omega }}_{3}}\\\end{matrix}}\right)=A\left({\begin{matrix}\delta {{\omega }_{1}}\\\delta {{\omega }_{2}}\\\delta {{\omega }_{3}}\\\end{matrix}}\right)=\left({\begin{matrix}0&-{{k}_{1}}{{\omega }_{3}}&-{{k}_{1}}{{\omega }_{2}}\\{{k}_{2}}{{\omega }_{3}}&0&{{k}_{2}}{{\omega }_{1}}\\-{{k}_{3}}{{\omega }_{2}}&-{{k}_{3}}{{\omega }_{1}}&0\\\end{matrix}}\right)\left({\begin{matrix}\delta {{\omega }_{1}}\\\delta {{\omega }_{2}}\\\delta {{\omega }_{3}}\\\end{matrix}}\right)
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 (3.466 KB / 406 B) :
<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="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>δ</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ω</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ω</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ω</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>A</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>0</mn></mtd><mtd><mo>−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd><mtd><mo>−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd><mtd><mn>0</mn></mtd><mtd><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><mo>−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd><mtd><mo>−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></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 Dynamische Systeme und deterministisches Chaos page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results