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Display information for equation id:math.924.0 on revision:924

* Page found: Lorentz Transformation (eq math.924.0)

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Occurrences on the following pages:

Hash: 90b09902c8455039e9dc02c97fcd84b8

TeX (original user input):

\begin{align}
  & x{{'}^{\alpha }}=\Lambda _{\beta }^{\alpha }{{x}^{\beta }}+{{a}^{\alpha }} \\ 
 & \gamma ={{\left( 1-{{\beta }^{2}} \right)}^{-\frac{1}{2}}},\beta =\frac{v}{c} \\ 
\end{align}

TeX (checked):

{\begin{aligned}&x{{'}^{\alpha }}=\Lambda _{\beta }^{\alpha }{{x}^{\beta }}+{{a}^{\alpha }}\\&\gamma ={{\left(1-{{\beta }^{2}}\right)}^{-{\frac {1}{2}}}},\beta ={\frac {v}{c}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.555 KB / 401 B) :

x'α=Λβαxβ+aαγ=(1β2)12,β=vc
<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>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><mo stretchy="false">=</mo><msubsup><mi>Λ</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msubsup><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msup><mo stretchy="false">+</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>γ</mi><mo stretchy="false">=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false"></mo><msup><mi>β</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mrow></mrow></msup><mo>,</mo><mi>β</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Lorentz Transformation page

Identifiers

  • x
  • α
  • Λ
  • β
  • α
  • x
  • β
  • a
  • α
  • γ
  • β
  • β
  • v
  • c

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