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Display information for equation id:math.1199.953 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.953)

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Hash: 1e8f020d8932dcc9f2552b4ba6a7c4b0

TeX (original user input): 

\bar{D}\left( \bar{r},t \right)={{\varepsilon }_{0}}\bar{E}\left( \bar{r},t \right)+\bar{P}={{\varepsilon }_{0}}\left( 1+{{\chi }_{e}} \right)\bar{E}\left( \bar{r},t \right)={{\varepsilon }_{0}}\varepsilon \bar{E}\left( \bar{r},t \right)

TeX (checked): 

{\bar {D}}\left({\bar {r}},t\right)={{\varepsilon }_{0}}{\bar {E}}\left({\bar {r}},t\right)+{\bar {P}}={{\varepsilon }_{0}}\left(1+{{\chi }_{e}}\right){\bar {E}}\left({\bar {r}},t\right)={{\varepsilon }_{0}}\varepsilon {\bar {E}}\left({\bar {r}},t\right)

LaTeXML (experimental; uses MathML) rendering

MathML (13.129 KB / 1.85 KB) :

D ¯ ⁢ ( r ¯ , t ) = ε 0 ⁢ E ¯ ⁢ ( r ¯ , t ) + P ¯ = ε 0 ⁢ ( 1 + χ e ) ⁢ E ¯ ⁢ ( r ¯ , t ) = ε 0 ⁢ ε ⁢ E ¯ ⁢ ( r ¯ , t ) ¯ 𝐷 ¯ 𝑟 𝑡 subscript 𝜀 0 ¯ 𝐸 ¯ 𝑟 𝑡 ¯ 𝑃 subscript 𝜀 0 1 subscript 𝜒 𝑒 ¯ 𝐸 ¯ 𝑟 𝑡 subscript 𝜀 0 𝜀 ¯ 𝐸 ¯ 𝑟 𝑡 {\displaystyle{\displaystyle\bar{D}\left(\bar{r},t\right)={{\varepsilon}_{0}}% \bar{E}\left(\bar{r},t\right)+\bar{P}={{\varepsilon}_{0}}\left(1+{{\chi}_{e}}% \right)\bar{E}\left(\bar{r},t\right)={{\varepsilon}_{0}}\varepsilon\bar{E}% \left(\bar{r},t\right)}} 
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            <interval closure="open" id="p1.1.m1.1.43.5.3.1.cmml" xref="p1.1.m1.1.43.5.3">
              <apply id="p1.1.m1.1.39.cmml" xref="p1.1.m1.1.39">
                <ci id="p1.1.m1.1.39.1.cmml" xref="p1.1.m1.1.39.1">¯</ci>
                <ci id="p1.1.m1.1.39.2.cmml" xref="p1.1.m1.1.39.2">𝑟</ci>
              </apply>
              <ci id="p1.1.m1.1.41.cmml" xref="p1.1.m1.1.41">𝑡</ci>
            </interval>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\bar{D}\left(\bar{r},t\right)={{\varepsilon}_{0}}%
\bar{E}\left(\bar{r},t\right)+\bar{P}={{\varepsilon}_{0}}\left(1+{{\chi}_{e}}%
\right)\bar{E}\left(\bar{r},t\right)={{\varepsilon}_{0}}\varepsilon\bar{E}%
\left(\bar{r},t\right)}}</annotation>
  </semantics>
</math>

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D¯(r¯,t)=ε0E¯(r¯,t)+P¯=ε0(1+χe)E¯(r¯,t)=ε0εE¯(r¯,t)
<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"><mrow data-mjx-texclass="ORD"><mover><mi>D</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>P</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo>+</mo><msub><mi>&#x03C7;</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Elektrodynamik Schöll page

Identifiers

  • D¯
  • r¯
  • t
  • ε0
  • E¯
  • r¯
  • t
  • P¯
  • ε0
  • χe
  • E¯
  • r¯
  • t
  • ε0
  • ε
  • E¯
  • r¯
  • t

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