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Display information for equation id:math.1802.19 on revision:1802
* Page found: Kovariante Schreibweise der Relativitätstheorie (eq math.1802.19)
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Hash: 09c5f9abe72d48e94983c097d587f0cc
TeX (original user input):
\begin{align}
& \beta :=\frac{v}{c}=\frac{1}{c}\left| \frac{d\bar{r}}{dt} \right| \\
& \gamma :=\frac{1}{\sqrt{1-{{\beta }^{2}}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&\beta :={\frac {v}{c}}={\frac {1}{c}}\left|{\frac {d{\bar {r}}}{dt}}\right|\\&\gamma :={\frac {1}{\sqrt {1-{{\beta }^{2}}}}}\\\end{aligned}}
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MathML (1.606 KB / 394 B) :

<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>β</mi><mi>:</mi><mo>=</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><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><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>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>γ</mi><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>−</mo><msup><mi>β</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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