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Display information for equation id:math.2031.17 on revision:2031

* Page found: Vektorfelder als dynamische Systeme (eq math.2031.17)

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Hash: 00cfdaacc2560fae5777d094d1184083

TeX (original user input):

\begin{align}
  & \delta \bar{x}:=\bar{x}-\bar{x}*: \\
 & \delta {{{\dot{x}}}_{i}}=\sum\limits_{k=1}^{n}{{{\left( \frac{\partial {{F}_{i}}}{\partial {{x}_{k}}} \right)}_{x*}}\delta {{x}_{k}}} \\
\end{align}

TeX (checked):

{\begin{aligned}&\delta {\bar {x}}:={\bar {x}}-{\bar {x}}*:\\&\delta {{\dot {x}}_{i}}=\sum \limits _{k=1}^{n}{{{\left({\frac {\partial {{F}_{i}}}{\partial {{x}_{k}}}}\right)}_{x*}}\delta {{x}_{k}}}\\\end{aligned}}

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MathML (1.979 KB / 451 B) :

δx¯:=x¯x¯*:δx˙i=k=1n(Fixk)x*δxk
<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>&#x03B4;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo>*</mo><mi>:</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>&#x03B4;</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">&#x2211;</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"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</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>&#x2202;</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mo>*</mo></mrow></mrow></msub><mi>&#x03B4;</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Identifiers

  • δ
  • x¯
  • x¯
  • x¯
  • δ
  • x˙i
  • k
  • n
  • Fi
  • xk
  • x
  • δ
  • xk

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