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Display information for equation id:math.2164.17 on revision:2164

* Page found: Brechung und Reflexion (eq math.2164.17)

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TeX (original user input): 

\begin{align}
& \Rightarrow {{k}_{3}}\left( {{E}_{02}}-E{{\acute{\ }}_{02}} \right)={{k}_{3}}\acute{\ }\acute{\ }\left( {{E}_{02}}+{{E}_{02}}\acute{\ } \right) \\
& \Rightarrow \frac{E{{\acute{\ }}_{02}}}{{{E}_{02}}}=\frac{{{k}_{3}}-{{k}_{3}}\acute{\ }\acute{\ }}{{{k}_{3}}+{{k}_{3}}\acute{\ }\acute{\ }} \\
& \frac{E\acute{\ }{{\acute{\ }}_{02}}}{{{E}_{02}}}=\frac{2{{k}_{3}}}{{{k}_{3}}+{{k}_{3}}\acute{\ }\acute{\ }} \\
\end{align}

TeX (checked): 

{\begin{aligned}&\Rightarrow {{k}_{3}}\left({{E}_{02}}-E{{\acute {\ }}_{02}}\right)={{k}_{3}}{\acute {\ }}{\acute {\ }}\left({{E}_{02}}+{{E}_{02}}{\acute {\ }}\right)\\&\Rightarrow {\frac {E{{\acute {\ }}_{02}}}{{E}_{02}}}={\frac {{{k}_{3}}-{{k}_{3}}{\acute {\ }}{\acute {\ }}}{{{k}_{3}}+{{k}_{3}}{\acute {\ }}{\acute {\ }}}}\\&{\frac {E{\acute {\ }}{{\acute {\ }}_{02}}}{{E}_{02}}}={\frac {2{{k}_{3}}}{{{k}_{3}}+{{k}_{3}}{\acute {\ }}{\acute {\ }}}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (35.576 KB / 3.633 KB) :

⇒ k 3 ⁢ ( E 02 - E ⁢ ´ 02 ) = k 3 ⁢ ´ ⁢ ´ ⁢ ( E 02 + E 02 ⁢ ´ ) ⇒ E ⁢ ´ 02 E 02 = k 3 - k 3 ⁢ ´ ⁢ ´ k 3 + k 3 ⁢ ´ ⁢ ´ E ⁢ ´ ⁢ ´ 02 E 02 = 2 ⁢ k 3 k 3 + k 3 ⁢ ´ ⁢ ´ missing-subexpression ⇒ absent subscript 𝑘 3 subscript 𝐸 02 𝐸 subscript ´ absent 02 subscript 𝑘 3 ´ absent ´ absent subscript 𝐸 02 subscript 𝐸 02 ´ absent missing-subexpression ⇒ absent 𝐸 subscript ´ absent 02 subscript 𝐸 02 subscript 𝑘 3 subscript 𝑘 3 ´ absent ´ absent subscript 𝑘 3 subscript 𝑘 3 ´ absent ´ absent missing-subexpression 𝐸 ´ absent subscript ´ absent 02 subscript 𝐸 02 2 subscript 𝑘 3 subscript 𝑘 3 subscript 𝑘 3 ´ absent ´ absent {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\Rightarrow{{k}_{3}}% \left({{E}_{02}}-E{{\acute{\ }}_{02}}\right)={{k}_{3}}\acute{\ }\acute{\ }% \left({{E}_{02}}+{{E}_{02}}\acute{\ }\right)\\ &\displaystyle\Rightarrow\frac{E{{\acute{\ }}_{02}}}{{{E}_{02}}}=\frac{{{k}_{3% }}-{{k}_{3}}\acute{\ }\acute{\ }}{{{k}_{3}}+{{k}_{3}}\acute{\ }\acute{\ }}\\ &\displaystyle\frac{E\acute{\ }{{\acute{\ }}_{02}}}{{{E}_{02}}}=\frac{2{{k}_{3% }}}{{{k}_{3}}+{{k}_{3}}\acute{\ }\acute{\ }}\\ \end{aligned}}}

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MathML (5.028 KB / 482 B) :

⇒k3(E02−E´02)=k3´´(E02+E02´)⇒E´02E02=k3−k3´´k3+k3´´E´´02E02=2k3k3+k3´´

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Calculated based on the variables occurring on the entire Brechung und Reflexion page

Identifiers

  • k3
  • E02
  • E
  • ´02
  • k3
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  • E02
  • E02
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  • E
  • ´02
  • E02
  • k3
  • k3
  • ´
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  • k3
  • k3
  • ´
  • ´
  • E
  • ´
  • ´02
  • E02
  • k3
  • k3
  • k3
  • ´
  • ´

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