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Display information for equation id:math.1799.31 on revision:1799

* Page found: Kovariante Schreibweise der Relativitätstheorie (eq math.1799.31)

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Occurrences on the following pages:

Hash: ae012610634fbb052fae1af674f74739

TeX (original user input):

\begin{align}

& {{p}^{i}}{{p}_{i}}=\frac{{{E}^{2}}}{{{c}^{2}}}-{{{\bar{p}}}^{2}}={{m}_{0}}^{2}{{c}^{2}} \\

& \bar{p}=\frac{{{m}_{0}}\bar{v}}{\sqrt{1-{{\beta }^{2}}}} \\

\end{align}

TeX (checked):

{\begin{aligned}&{{p}^{i}}{{p}_{i}}={\frac {{E}^{2}}{{c}^{2}}}-{{\bar {p}}^{2}}={{m}_{0}}^{2}{{c}^{2}}\\&{\bar {p}}={\frac {{{m}_{0}}{\bar {v}}}{\sqrt {1-{{\beta }^{2}}}}}\\\end{aligned}}

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MathML (experimental; no images) rendering

MathML (1.913 KB / 394 B) :

pipi=E2c2p¯2=m02c2p¯=m0v¯1β2
<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><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo>&#x2212;</mo><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><msup><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>v</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>&#x2212;</mo><msup><mi>&#x03B2;</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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Identifiers

  • p
  • i
  • pi
  • E
  • c
  • p¯
  • m0
  • c
  • p¯
  • m0
  • v¯
  • β

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