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Display information for equation id:math.1926.22 on revision:1926

* Page found: Zeitliche Translationsinvarianz (eq math.1926.22)

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Hash: b02f16c536b69e27890484cf6deea900

TeX (original user input):

0=\delta \int\limits_{\tau 1}^{\tau 2}{{}}\bar{L}d\tau =\delta \int\limits_{t1}^{t2}{{}}Ldt\Leftrightarrow \frac{d}{dt}\frac{\partial L}{\partial {{{\dot{q}}}_{k}}}-\frac{\partial L}{\partial {{q}_{k}}}=0

TeX (checked):

0=\delta \int \limits _{\tau 1}^{\tau 2}{}{\bar {L}}d\tau =\delta \int \limits _{t1}^{t2}{}Ldt\Leftrightarrow {\frac {d}{dt}}{\frac {\partial L}{\partial {{\dot {q}}_{k}}}}-{\frac {\partial L}{\partial {{q}_{k}}}}=0

LaTeXML (experimentell; verwendet MathML) rendering

MathML (16.686 KB / 2.273 KB) :

0 = δ τ 1 τ 2 L ¯ 𝑑 τ = δ t 1 t 2 L 𝑑 t d d t L q ˙ k - L q k = 0 0 𝛿 superscript subscript 𝜏 1 𝜏 2 ¯ 𝐿 differential-d 𝜏 𝛿 superscript subscript 𝑡 1 𝑡 2 𝐿 differential-d 𝑡 𝑑 𝑑 𝑡 𝐿 subscript ˙ 𝑞 𝑘 𝐿 subscript 𝑞 𝑘 0 {\displaystyle{\displaystyle 0=\delta\int\limits_{\tau 1}^{\tau 2}{{}}\bar{L}d% \tau=\delta\int\limits_{t1}^{t2}{{}}Ldt\Leftrightarrow\frac{d}{dt}\frac{% \partial L}{\partial{{{\dot{q}}}_{k}}}-\frac{\partial L}{\partial{{q}_{k}}}=0}}

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MathML (experimentell; keine Bilder) rendering

MathML (1.862 KB / 369 B) :

0=δτ1τ2L¯dτ=δt1t2LdtddtLq˙kLqk=0

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Identifiers

  • δ
  • τ
  • τ
  • L¯
  • τ
  • δ
  • t
  • t
  • L
  • t
  • d
  • d
  • t
  • L
  • q˙k
  • L
  • qk

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