Jump to navigation Jump to search

General

Display information for equation id:math.2147.64 on revision:2147

* Page found: Maxwell- Gleichungen in Materie (eq math.2147.64)

(force rerendering)

Occurrences on the following pages:

Hash: c7647d1ca08dd17f60c4472685db4d8b

TeX (original user input):

\hat{\bar{P}}\left( \bar{k},\omega  \right)={{\varepsilon }_{0}}{{\hat{\chi }}_{e}}\left( \bar{k},\omega  \right)\hat{\bar{E}}\left( \bar{k},\omega  \right)

TeX (checked):

{\hat {\bar {P}}}\left({\bar {k}},\omega \right)={{\varepsilon }_{0}}{{\hat {\chi }}_{e}}\left({\bar {k}},\omega \right){\hat {\bar {E}}}\left({\bar {k}},\omega \right)

LaTeXML (experimental; uses MathML) rendering

MathML (7.753 KB / 1.236 KB) :

P ¯ ^ ( k ¯ , ω ) = ε 0 χ ^ e ( k ¯ , ω ) E ¯ ^ ( k ¯ , ω ) ^ ¯ 𝑃 ¯ 𝑘 𝜔 subscript 𝜀 0 subscript ^ 𝜒 𝑒 ¯ 𝑘 𝜔 ^ ¯ 𝐸 ¯ 𝑘 𝜔 {\displaystyle{\displaystyle\hat{\bar{P}}\left(\bar{k},\omega\right)={{% \varepsilon}_{0}}{{\hat{\chi}}_{e}}\left(\bar{k},\omega\right)\hat{\bar{E}}% \left(\bar{k},\omega\right)}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\hat{\bar{P}}\left(\bar{k},\omega\right)={{%&#10;\varepsilon}_{0}}{{\hat{\chi}}_{e}}\left(\bar{k},\omega\right)\hat{\bar{E}}%&#10;\left(\bar{k},\omega\right)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">
      <mrow id="p1.1.m1.1.23.1" xref="p1.1.m1.1.23.1.cmml">
        <mover accent="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
          <mover accent="true" id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.2.cmml">
            <mi id="p1.1.m1.1.1.2.1.2" xref="p1.1.m1.1.1.2.1.2.cmml">P</mi>
            <mo stretchy="false" id="p1.1.m1.1.1.2.1.1" xref="p1.1.m1.1.1.2.1.1.cmml">¯</mo>
          </mover>
          <mo stretchy="false" id="p1.1.m1.1.1.1" xref="p1.1.m1.1.1.1.cmml">^</mo>
        </mover>
        <mo id="p1.1.m1.1.23.1.1" xref="p1.1.m1.1.23.1.1.cmml"></mo>
        <mrow id="p1.1.m1.1.23.1.2" xref="p1.1.m1.1.23.1.2.1.cmml">
          <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.23.1.2.1.cmml">(</mo>
          <mover accent="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
            <mi id="p1.1.m1.1.3.2" xref="p1.1.m1.1.3.2.cmml">k</mi>
            <mo stretchy="false" id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">¯</mo>
          </mover>
          <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.23.1.2.1.cmml">,</mo>
          <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">ω</mi>
          <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.23.1.2.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">=</mo>
      <mrow id="p1.1.m1.1.23.2" xref="p1.1.m1.1.23.2.cmml">
        <msub id="p1.1.m1.1.23.2.2" xref="p1.1.m1.1.23.2.2.cmml">
          <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">ε</mi>
          <mn id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">0</mn>
        </msub>
        <mo id="p1.1.m1.1.23.2.1" xref="p1.1.m1.1.23.2.1.cmml"></mo>
        <msub id="p1.1.m1.1.23.2.3" xref="p1.1.m1.1.23.2.3.cmml">
          <mover accent="true" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">
            <mi id="p1.1.m1.1.10.2" xref="p1.1.m1.1.10.2.cmml">χ</mi>
            <mo stretchy="false" id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">^</mo>
          </mover>
          <mi id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">e</mi>
        </msub>
        <mo id="p1.1.m1.1.23.2.1a" xref="p1.1.m1.1.23.2.1.cmml"></mo>
        <mrow id="p1.1.m1.1.23.2.4" xref="p1.1.m1.1.23.2.4.1.cmml">
          <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.23.2.4.1.cmml">(</mo>
          <mover accent="true" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">
            <mi id="p1.1.m1.1.13.2" xref="p1.1.m1.1.13.2.cmml">k</mi>
            <mo stretchy="false" id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">¯</mo>
          </mover>
          <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.23.2.4.1.cmml">,</mo>
          <mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">ω</mi>
          <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.23.2.4.1.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.23.2.1b" xref="p1.1.m1.1.23.2.1.cmml"></mo>
        <mover accent="true" id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">
          <mover accent="true" id="p1.1.m1.1.17.2" xref="p1.1.m1.1.17.2.cmml">
            <mi id="p1.1.m1.1.17.2.1.2" xref="p1.1.m1.1.17.2.1.2.cmml">E</mi>
            <mo stretchy="false" id="p1.1.m1.1.17.2.1.1" xref="p1.1.m1.1.17.2.1.1.cmml">¯</mo>
          </mover>
          <mo stretchy="false" id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">^</mo>
        </mover>
        <mo id="p1.1.m1.1.23.2.1c" xref="p1.1.m1.1.23.2.1.cmml"></mo>
        <mrow id="p1.1.m1.1.23.2.5" xref="p1.1.m1.1.23.2.5.1.cmml">
          <mo id="p1.1.m1.1.18" xref="p1.1.m1.1.23.2.5.1.cmml">(</mo>
          <mover accent="true" id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">
            <mi id="p1.1.m1.1.19.2" xref="p1.1.m1.1.19.2.cmml">k</mi>
            <mo stretchy="false" id="p1.1.m1.1.19.1" xref="p1.1.m1.1.19.1.cmml">¯</mo>
          </mover>
          <mo id="p1.1.m1.1.20" xref="p1.1.m1.1.23.2.5.1.cmml">,</mo>
          <mi id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">ω</mi>
          <mo id="p1.1.m1.1.22" xref="p1.1.m1.1.23.2.5.1.cmml">)</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">
        <eq id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
        <apply id="p1.1.m1.1.23.1.cmml" xref="p1.1.m1.1.23.1">
          <times id="p1.1.m1.1.23.1.1.cmml" xref="p1.1.m1.1.23.1.1"/>
          <apply id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
            <ci id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.1">^</ci>
            <apply id="p1.1.m1.1.1.2.cmml" xref="p1.1.m1.1.1.2">
              <ci id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.1">¯</ci>
              <ci id="p1.1.m1.1.1.2.1.2.cmml" xref="p1.1.m1.1.1.2.1.2">𝑃</ci>
            </apply>
          </apply>
          <interval closure="open" id="p1.1.m1.1.23.1.2.1.cmml" xref="p1.1.m1.1.23.1.2">
            <apply id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
              <ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">¯</ci>
              <ci id="p1.1.m1.1.3.2.cmml" xref="p1.1.m1.1.3.2">𝑘</ci>
            </apply>
            <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝜔</ci>
          </interval>
        </apply>
        <apply id="p1.1.m1.1.23.2.cmml" xref="p1.1.m1.1.23.2">
          <times id="p1.1.m1.1.23.2.1.cmml" xref="p1.1.m1.1.23.2.1"/>
          <apply id="p1.1.m1.1.23.2.2.cmml" xref="p1.1.m1.1.23.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.23.2.2.1.cmml" xref="p1.1.m1.1.23.2.2">subscript</csymbol>
            <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝜀</ci>
            <cn type="integer" id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">0</cn>
          </apply>
          <apply id="p1.1.m1.1.23.2.3.cmml" xref="p1.1.m1.1.23.2.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.23.2.3.1.cmml" xref="p1.1.m1.1.23.2.3">subscript</csymbol>
            <apply id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">
              <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">^</ci>
              <ci id="p1.1.m1.1.10.2.cmml" xref="p1.1.m1.1.10.2">𝜒</ci>
            </apply>
            <ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">𝑒</ci>
          </apply>
          <interval closure="open" id="p1.1.m1.1.23.2.4.1.cmml" xref="p1.1.m1.1.23.2.4">
            <apply id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">
              <ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">¯</ci>
              <ci id="p1.1.m1.1.13.2.cmml" xref="p1.1.m1.1.13.2">𝑘</ci>
            </apply>
            <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">𝜔</ci>
          </interval>
          <apply id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">
            <ci id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">^</ci>
            <apply id="p1.1.m1.1.17.2.cmml" xref="p1.1.m1.1.17.2">
              <ci id="p1.1.m1.1.17.2.1.1.cmml" xref="p1.1.m1.1.17.2.1.1">¯</ci>
              <ci id="p1.1.m1.1.17.2.1.2.cmml" xref="p1.1.m1.1.17.2.1.2">𝐸</ci>
            </apply>
          </apply>
          <interval closure="open" id="p1.1.m1.1.23.2.5.1.cmml" xref="p1.1.m1.1.23.2.5">
            <apply id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">
              <ci id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19.1">¯</ci>
              <ci id="p1.1.m1.1.19.2.cmml" xref="p1.1.m1.1.19.2">𝑘</ci>
            </apply>
            <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">𝜔</ci>
          </interval>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\hat{\bar{P}}\left(\bar{k},\omega\right)={{%
\varepsilon}_{0}}{{\hat{\chi}}_{e}}\left(\bar{k},\omega\right)\hat{\bar{E}}%
\left(\bar{k},\omega\right)}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


SVG (MathML can be enabled via browser plugin) rendering

MathML (3.518 KB / 542 B) :

P ¯ ^ ( k ¯ , ω ) = ε 0 χ ^ e ( k ¯ , ω ) E ¯ ^ ( k ¯ , ω ) {\displaystyle {\hat {\bar {P}}}\left({\bar {k}},\omega \right)={{\varepsilon }_{0}}{{\hat {\chi }}_{e}}\left({\bar {k}},\omega \right){\hat {\bar {E}}}\left({\bar {k}},\omega \right)}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {\hat {\bar {P}}}\left({\bar {k}},\omega \right)={{\varepsilon }_{0}}{{\hat {\chi }}_{e}}\left({\bar {k}},\omega \right){\hat {\bar {E}}}\left({\bar {k}},\omega \right)}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mrow class="MJX-TeXAtom-ORD">
                <mover>
                  <mi>P</mi>
                  <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
                </mover>
              </mrow>
              <mo stretchy="false">&#x005E;<!-- ^ --></mo>
            </mover>
          </mrow>
        </mrow>
        <mrow>
          <mo>(</mo>
          <mrow>
            <mrow class="MJX-TeXAtom-ORD">
              <mrow class="MJX-TeXAtom-ORD">
                <mover>
                  <mi>k</mi>
                  <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
                </mover>
              </mrow>
            </mrow>
            <mo>,</mo>
            <mi>&#x03C9;<!-- ω --></mi>
          </mrow>
          <mo>)</mo>
        </mrow>
        <mo>=</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <msub>
            <mrow class="MJX-TeXAtom-ORD">
              <mi>&#x03B5;<!-- ε --></mi>
            </mrow>
            <mrow class="MJX-TeXAtom-ORD">
              <mn>0</mn>
            </mrow>
          </msub>
        </mrow>
        <mrow class="MJX-TeXAtom-ORD">
          <msub>
            <mrow class="MJX-TeXAtom-ORD">
              <mrow class="MJX-TeXAtom-ORD">
                <mover>
                  <mi>&#x03C7;<!-- χ --></mi>
                  <mo stretchy="false">&#x005E;<!-- ^ --></mo>
                </mover>
              </mrow>
            </mrow>
            <mrow class="MJX-TeXAtom-ORD">
              <mi>e</mi>
            </mrow>
          </msub>
        </mrow>
        <mrow>
          <mo>(</mo>
          <mrow>
            <mrow class="MJX-TeXAtom-ORD">
              <mrow class="MJX-TeXAtom-ORD">
                <mover>
                  <mi>k</mi>
                  <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
                </mover>
              </mrow>
            </mrow>
            <mo>,</mo>
            <mi>&#x03C9;<!-- ω --></mi>
          </mrow>
          <mo>)</mo>
        </mrow>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mrow class="MJX-TeXAtom-ORD">
                <mover>
                  <mi>E</mi>
                  <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
                </mover>
              </mrow>
              <mo stretchy="false">&#x005E;<!-- ^ --></mo>
            </mover>
          </mrow>
        </mrow>
        <mrow>
          <mo>(</mo>
          <mrow>
            <mrow class="MJX-TeXAtom-ORD">
              <mrow class="MJX-TeXAtom-ORD">
                <mover>
                  <mi>k</mi>
                  <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
                </mover>
              </mrow>
            </mrow>
            <mo>,</mo>
            <mi>&#x03C9;<!-- ω --></mi>
          </mrow>
          <mo>)</mo>
        </mrow>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle {\hat {\bar {P}}}\left({\bar {k}},\omega \right)={{\varepsilon }_{0}}{{\hat {\chi }}_{e}}\left({\bar {k}},\omega \right){\hat {\bar {E}}}\left({\bar {k}},\omega \right)}</annotation>
  </semantics>
</math>

SVG (9.069 KB / 3.638 KB) :

{\displaystyle {\hat {\bar {P}}}\left({\bar {k}},\omega \right)={{\varepsilon }_{0}}{{\hat {\chi }}_{e}}\left({\bar {k}},\omega \right){\hat {\bar {E}}}\left({\bar {k}},\omega \right)}

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Maxwell- Gleichungen in Materie page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results