Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1899.41 on revision:1899

* Page found: Eichtransformation der Lagrangefunktion (eq math.1899.41)

(force rerendering)

Occurrences on the following pages:

Hash: 2c5d3350b26c3edc834063aad5f7ca33

TeX (original user input): 

\begin{align}
  & \frac{d}{dt}\frac{\partial \tilde{L}}{\partial {{{\dot{Q}}}_{k}}}=\sum\limits_{l=1}^{f}{\left\{ \left[ \frac{d}{dt}\left( \frac{\partial L}{\partial {{{\dot{q}}}_{l}}} \right) \right]\frac{\partial {{q}_{l}}}{\partial {{Q}_{k}}}+\frac{\partial L}{\partial {{{\dot{q}}}_{l}}}\frac{d}{dt}\left( \frac{\partial {{q}_{l}}}{\partial {{Q}_{k}}} \right) \right\}} \\
 & =\sum\limits_{l=1}^{f}{\left\{ \left[ \frac{d}{dt}\left( \frac{\partial L}{\partial {{{\dot{q}}}_{l}}} \right) \right]\frac{\partial {{q}_{l}}}{\partial {{Q}_{k}}}+\frac{\partial L}{\partial {{{\dot{q}}}_{l}}}\left( \frac{\partial {{{\dot{q}}}_{l}}}{\partial {{Q}_{k}}} \right) \right\}} \\
\end{align}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (50.627 KB / 4.792 KB) :

d d ⁢ t ⁢ ∂ ⁡ L ~ ∂ ⁡ Q ˙ k = ∑ l = 1 f { [ d d ⁢ t ⁢ ( ∂ ⁡ L ∂ ⁡ q ˙ l ) ] ⁢ ∂ ⁡ q l ∂ ⁡ Q k + ∂ ⁡ L ∂ ⁡ q ˙ l ⁢ d d ⁢ t ⁢ ( ∂ ⁡ q l ∂ ⁡ Q k ) } = ∑ l = 1 f { [ d d ⁢ t ⁢ ( ∂ ⁡ L ∂ ⁡ q ˙ l ) ] ⁢ ∂ ⁡ q l ∂ ⁡ Q k + ∂ ⁡ L ∂ ⁡ q ˙ l ⁢ ( ∂ ⁡ q ˙ l ∂ ⁡ Q k ) } missing-subexpression 𝑑 𝑑 𝑡 ~ 𝐿 subscript ˙ 𝑄 𝑘 superscript subscript 𝑙 1 𝑓 delimited-[] 𝑑 𝑑 𝑡 𝐿 subscript ˙ 𝑞 𝑙 subscript 𝑞 𝑙 subscript 𝑄 𝑘 𝐿 subscript ˙ 𝑞 𝑙 𝑑 𝑑 𝑡 subscript 𝑞 𝑙 subscript 𝑄 𝑘 missing-subexpression absent superscript subscript 𝑙 1 𝑓 delimited-[] 𝑑 𝑑 𝑡 𝐿 subscript ˙ 𝑞 𝑙 subscript 𝑞 𝑙 subscript 𝑄 𝑘 𝐿 subscript ˙ 𝑞 𝑙 subscript ˙ 𝑞 𝑙 subscript 𝑄 𝑘 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\frac{d}{dt}\frac{% \partial\tilde{L}}{\partial{{{\dot{Q}}}_{k}}}=\sum\limits_{l=1}^{f}{\left\{% \left[\frac{d}{dt}\left(\frac{\partial L}{\partial{{{\dot{q}}}_{l}}}\right)% \right]\frac{\partial{{q}_{l}}}{\partial{{Q}_{k}}}+\frac{\partial L}{\partial{% {{\dot{q}}}_{l}}}\frac{d}{dt}\left(\frac{\partial{{q}_{l}}}{\partial{{Q}_{k}}}% \right)\right\}}\\ &\displaystyle=\sum\limits_{l=1}^{f}{\left\{\left[\frac{d}{dt}\left(\frac{% \partial L}{\partial{{{\dot{q}}}_{l}}}\right)\right]\frac{\partial{{q}_{l}}}{% \partial{{Q}_{k}}}+\frac{\partial L}{\partial{{{\dot{q}}}_{l}}}\left(\frac{% \partial{{{\dot{q}}}_{l}}}{\partial{{Q}_{k}}}\right)\right\}}\\ \end{aligned}}}

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (6.239 KB / 527 B) :

ddt∂L~∂Q˙k=∑l=1f{[ddt(∂L∂q˙l)]∂ql∂Qk+∂L∂q˙lddt(∂ql∂Qk)}=∑l=1f{[ddt(∂L∂q˙l)]∂ql∂Qk+∂L∂q˙l(∂q˙l∂Qk)}

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 Eichtransformation der Lagrangefunktion page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“