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Display information for equation id:math.2020.15 on revision:2020
* Page found: Deterministisches Chaos (eq math.2020.15)
(force rerendering)Occurrences on the following pages:
Hash: b43097968eb25f328047ee01315b494e
TeX (original user input):
\begin{align}
& \delta {{{\dot{x}}}_{i}}=\sum\limits_{k=1}^{n}{{}}\frac{\partial {{F}_{i}}}{\partial {{x}_{k}}}(\bar{x}(t),t)\delta {{x}_{k}} \\
& \frac{\partial {{F}_{i}}}{\partial {{x}_{k}}}(\bar{x}(t),t):={{A}_{ik}}(t) \\
\end{align}
TeX (checked):
{\begin{aligned}&\delta {{\dot {x}}_{i}}=\sum \limits _{k=1}^{n}{}{\frac {\partial {{F}_{i}}}{\partial {{x}_{k}}}}({\bar {x}}(t),t)\delta {{x}_{k}}\\&{\frac {\partial {{F}_{i}}}{\partial {{x}_{k}}}}({\bar {x}}(t),t):={{A}_{ik}}(t)\\\end{aligned}}
LaTeXML (experimental; uses MathML) rendering
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MathML (2.383 KB / 453 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="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><mi>δ</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mi>δ</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mi>:</mi><mo>=</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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