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Display information for equation id:math.1357.175 on revision:1357
* Page found: Dynamische Systeme und deterministisches Chaos (eq math.1357.175)
(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}}
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MathML (2.181 KB / 429 B) :
<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"><mi>δ</mi><msub><mover><mi>x</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</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><mover><mi>x</mi><mo>¯</mo></mover><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 class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><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><mover><mi>x</mi><mo>¯</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">:=</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 class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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