Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.2164.22 on revision:2164

* Page found: Brechung und Reflexion (eq math.2164.22)

(force rerendering)

Occurrences on the following pages:

Hash: 57c100e91b61ebf88ef147f70c20b2a6

TeX (original user input): 

\left\langle {\bar{S}} \right\rangle =\frac{1}{T}\int_{0}^{T}{{}}dt\left( \bar{E}\times \bar{H} \right)

TeX (checked): 

\left\langle {\bar {S}}\right\rangle ={\frac {1}{T}}\int _{0}^{T}{}dt\left({\bar {E}}\times {\bar {H}}\right)

LaTeXML (experimentell; verwendet MathML) rendering

MathML (6.267 KB / 1.191 KB) :

⟨ S ¯ ⟩ = 1 T ⁢ ∫ 0 T 𝑑 t ⁢ ( E ¯ × H ¯ ) delimited-⟨⟩ ¯ 𝑆 1 𝑇 superscript subscript 0 𝑇 differential-d 𝑡 ¯ 𝐸 ¯ 𝐻 {\displaystyle{\displaystyle\left\langle{\bar{S}}\right\rangle=\frac{1}{T}\int% _{0}^{T}{{}}dt\left(\bar{E}\times\bar{H}\right)}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\left\langle{\bar{S}}\right\rangle=\frac{1}{T}\int%&#10;_{0}^{T}{{}}dt\left(\bar{E}\times\bar{H}\right)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">
      <mrow id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.1.cmml">
        <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.16.1.1.1.cmml">⟨</mo>
        <mover accent="true" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
          <mi id="p1.1.m1.1.2.2" xref="p1.1.m1.1.2.2.cmml">S</mi>
          <mo stretchy="false" id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">¯</mo>
        </mover>
        <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.16.1.1.1.cmml">⟩</mo>
      </mrow>
      <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">=</mo>
      <mrow id="p1.1.m1.1.16.2" xref="p1.1.m1.1.16.2.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">
          <mfrac id="p1.1.m1.1.5a" xref="p1.1.m1.1.5.cmml">
            <mn id="p1.1.m1.1.5.2" xref="p1.1.m1.1.5.2.cmml">1</mn>
            <mi id="p1.1.m1.1.5.3" xref="p1.1.m1.1.5.3.cmml">T</mi>
          </mfrac>
        </mstyle>
        <mo id="p1.1.m1.1.16.2.1" xref="p1.1.m1.1.16.2.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.16.2.2" xref="p1.1.m1.1.16.2.2.cmml">
          <mstyle displaystyle="true" id="p1.1.m1.1.16.2.2.1" xref="p1.1.m1.1.16.2.2.1.cmml">
            <msubsup id="p1.1.m1.1.16.2.2.1a" xref="p1.1.m1.1.16.2.2.1.cmml">
              <mo largeop="true" symmetric="true" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">∫</mo>
              <mn id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">0</mn>
              <mi id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">T</mi>
            </msubsup>
          </mstyle>
          <mrow id="p1.1.m1.1.16.2.2.2" xref="p1.1.m1.1.16.2.2.2.cmml">
            <mrow id="p1.1.m1.1.16.2.2.2.2" xref="p1.1.m1.1.16.2.2.2.2.cmml">
              <mo rspace="0pt" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">𝑑</mo>
              <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">t</mi>
            </mrow>
            <mo id="p1.1.m1.1.16.2.2.2.1" xref="p1.1.m1.1.16.2.2.2.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.16.2.2.2.3" xref="p1.1.m1.1.16.2.2.2.3.2.cmml">
              <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.16.2.2.2.3.2.cmml">(</mo>
              <mrow id="p1.1.m1.1.16.2.2.2.3.2" xref="p1.1.m1.1.16.2.2.2.3.2.cmml">
                <mover accent="true" id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">
                  <mi id="p1.1.m1.1.12.2" xref="p1.1.m1.1.12.2.cmml">E</mi>
                  <mo stretchy="false" id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">¯</mo>
                </mover>
                <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">×</mo>
                <mover accent="true" id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">
                  <mi id="p1.1.m1.1.14.2" xref="p1.1.m1.1.14.2.cmml">H</mi>
                  <mo stretchy="false" id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">¯</mo>
                </mover>
              </mrow>
              <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.16.2.2.2.3.2.cmml">)</mo>
            </mrow>
          </mrow>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">
        <eq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <apply id="p1.1.m1.1.16.1.1.cmml" xref="p1.1.m1.1.16.1">
          <csymbol cd="latexml" id="p1.1.m1.1.16.1.1.1.cmml" xref="p1.1.m1.1.1">delimited-⟨⟩</csymbol>
          <apply id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">
            <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">¯</ci>
            <ci id="p1.1.m1.1.2.2.cmml" xref="p1.1.m1.1.2.2">𝑆</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.16.2.cmml" xref="p1.1.m1.1.16.2">
          <times id="p1.1.m1.1.16.2.1.cmml" xref="p1.1.m1.1.16.2.1"/>
          <apply id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">
            <divide id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5"/>
            <cn type="integer" id="p1.1.m1.1.5.2.cmml" xref="p1.1.m1.1.5.2">1</cn>
            <ci id="p1.1.m1.1.5.3.cmml" xref="p1.1.m1.1.5.3">𝑇</ci>
          </apply>
          <apply id="p1.1.m1.1.16.2.2.cmml" xref="p1.1.m1.1.16.2.2">
            <apply id="p1.1.m1.1.16.2.2.1.cmml" xref="p1.1.m1.1.16.2.2.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.16.2.2.1.1.cmml" xref="p1.1.m1.1.16.2.2.1">superscript</csymbol>
              <apply id="p1.1.m1.1.16.2.2.1.2.cmml" xref="p1.1.m1.1.16.2.2.1">
                <csymbol cd="ambiguous" id="p1.1.m1.1.16.2.2.1.2.1.cmml" xref="p1.1.m1.1.16.2.2.1">subscript</csymbol>
                <int id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
                <cn type="integer" id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">0</cn>
              </apply>
              <ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">𝑇</ci>
            </apply>
            <apply id="p1.1.m1.1.16.2.2.2.cmml" xref="p1.1.m1.1.16.2.2.2">
              <times id="p1.1.m1.1.16.2.2.2.1.cmml" xref="p1.1.m1.1.16.2.2.2.1"/>
              <apply id="p1.1.m1.1.16.2.2.2.2.cmml" xref="p1.1.m1.1.16.2.2.2.2">
                <csymbol cd="latexml" id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">differential-d</csymbol>
                <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝑡</ci>
              </apply>
              <apply id="p1.1.m1.1.16.2.2.2.3.2.cmml" xref="p1.1.m1.1.16.2.2.2.3">
                <times id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
                <apply id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">
                  <ci id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">¯</ci>
                  <ci id="p1.1.m1.1.12.2.cmml" xref="p1.1.m1.1.12.2">𝐸</ci>
                </apply>
                <apply id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">
                  <ci id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">¯</ci>
                  <ci id="p1.1.m1.1.14.2.cmml" xref="p1.1.m1.1.14.2">𝐻</ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\left\langle{\bar{S}}\right\rangle=\frac{1}{T}\int%
_{0}^{T}{{}}dt\left(\bar{E}\times\bar{H}\right)}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (1.104 KB / 315 B) :

⟨S¯⟩=1T∫0Tdt(E¯×H¯)
<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="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>S</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></munderover></mstyle><mi>d</mi><mi>t</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x00D7;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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 Brechung und Reflexion page

Identifiers

  • S¯
  • T
  • T
  • t
  • E¯
  • H¯

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“