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Display information for equation id:math.2126.19 on revision:2126

* Page found: Freie Wellenausbreitung im Vakuum (eq math.2126.19)

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Hash: 790efd41166ce21a84ca7bd2e63f70a8

TeX (original user input):

\begin{align}
& {{v}_{ph}}=\left. \frac{d\bar{r}(t)}{dt} \right|_{\phi =const}^{{}}=\frac{{\bar{k}}}{{{k}^{2}}}\varpi =c\frac{{\bar{k}}}{k} \\
& \frac{{\bar{k}}}{k}:=\bar{n} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{v}_{ph}}=\left.{\frac {d{\bar {r}}(t)}{dt}}\right|_{\phi =const}^{}={\frac {\bar {k}}{{k}^{2}}}\varpi =c{\frac {\bar {k}}{k}}\\&{\frac {\bar {k}}{k}}:={\bar {n}}\\\end{aligned}}

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vph=dr¯(t)dt|ϕ=const=k¯k2ϖ=ck¯kk¯k:=n¯
<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"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>h</mi></mrow></mrow></msub><mo stretchy="false">=</mo><msubsup><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><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ϕ</mi><mo stretchy="false">=</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow><mrow data-mjx-texclass="ORD"><msup><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mi>ϖ</mi><mo stretchy="false">=</mo><mi>c</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></mfrac></mrow><mo stretchy="false">:=</mo><mover><mi>n</mi><mo>¯</mo></mover></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 Freie Wellenausbreitung im Vakuum page

Identifiers

  • vph
  • d
  • r¯
  • t
  • d
  • t
  • ϕ
  • c
  • o
  • n
  • s
  • t
  • k¯
  • k
  • ϖ
  • c
  • k¯
  • k
  • k¯
  • k
  • n¯

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