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Display information for equation id:math.2031.46 on revision:2031

* Page found: Vektorfelder als dynamische Systeme (eq math.2031.46)

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Hash: 53153d65da9b85c15b4e379e0aa41d04

TeX (original user input): 

\begin{align}
  & \left( \begin{matrix}
   \delta {{{\dot{x}}}_{1}}  \\
   \delta {{{\dot{x}}}_{2}}  \\
\end{matrix} \right)={{\left( \begin{matrix}
   0 & \frac{1}{m{{l}^{2}}}  \\
   -mgl\cos {{x}_{1}} & -2\gamma   \\
\end{matrix} \right)}_{*}}\left( \begin{matrix}
   \delta {{x}_{1}}  \\
   \delta {{x}_{2}}  \\
\end{matrix} \right) \\
 & {{\left( \begin{matrix}
   0 & \frac{1}{m{{l}^{2}}}  \\
   -mgl\cos {{x}_{1}} & 0  \\
\end{matrix} \right)}_{*}}:=A \\
\end{align}

TeX (checked): 

{\begin{aligned}&\left({\begin{matrix}\delta {{\dot {x}}_{1}}\\\delta {{\dot {x}}_{2}}\\\end{matrix}}\right)={{\left({\begin{matrix}0&{\frac {1}{m{{l}^{2}}}}\\-mgl\cos {{x}_{1}}&-2\gamma \\\end{matrix}}\right)}_{*}}\left({\begin{matrix}\delta {{x}_{1}}\\\delta {{x}_{2}}\\\end{matrix}}\right)\\&{{\left({\begin{matrix}0&{\frac {1}{m{{l}^{2}}}}\\-mgl\cos {{x}_{1}}&0\\\end{matrix}}\right)}_{*}}:=A\\\end{aligned}}

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MathML (30.163 KB / 3.169 KB) :

( δ ⁢ x ˙ 1 δ ⁢ x ˙ 2 ) = ( 0 1 m ⁢ l 2 - m ⁢ g ⁢ l ⁢ cos ⁡ x 1 - 2 ⁢ γ ) * ⁢ ( δ ⁢ x 1 δ ⁢ x 2 ) ( 0 1 m ⁢ l 2 - m ⁢ g ⁢ l ⁢ cos ⁡ x 1 0 ) * := A missing-subexpression 𝛿 subscript ˙ 𝑥 1 𝛿 subscript ˙ 𝑥 2 subscript 0 1 𝑚 superscript 𝑙 2 𝑚 𝑔 𝑙 subscript 𝑥 1 2 𝛾 𝛿 subscript 𝑥 1 𝛿 subscript 𝑥 2 missing-subexpression assign subscript 0 1 𝑚 superscript 𝑙 2 𝑚 𝑔 𝑙 subscript 𝑥 1 0 𝐴 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\left(\begin{matrix}% \delta{{{\dot{x}}}_{1}}\\ \delta{{{\dot{x}}}_{2}}\\ \end{matrix}\right)={{\left(\begin{matrix}0&\frac{1}{m{{l}^{2}}}\\ -mgl\cos{{x}_{1}}&-2\gamma\\ \end{matrix}\right)}_{*}}\left(\begin{matrix}\delta{{x}_{1}}\\ \delta{{x}_{2}}\\ \end{matrix}\right)\\ &\displaystyle{{\left(\begin{matrix}0&\frac{1}{m{{l}^{2}}}\\ -mgl\cos{{x}_{1}}&0\\ \end{matrix}\right)}_{*}}:=A\\ \end{aligned}}}

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MathML (3.107 KB / 484 B) :

(δx˙1δx˙2)=(01ml2−mglcos⁡x1−2γ)*(δx1δx2)(01ml2−mglcos⁡x10)*:=A

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