Jump to navigation Jump to search

General

Display information for equation id:math.1199.504 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.504)

(force rerendering)

Occurrences on the following pages:

Hash: ddb73afcd5745b04b00a5609379822ee

TeX (original user input): 

\left\{ \left( 1 \right)\frac{1}{2}\left( \bar{E}\cdot \bar{D}+\bar{B}\cdot \bar{H} \right)-\bar{E}\otimes \bar{D}-\bar{B}\otimes \bar{H} \right\}:=\left( {\bar{\bar{T}}} \right)

TeX (checked): 

\left\{\left(1\right){\frac {1}{2}}\left({\bar {E}}\cdot {\bar {D}}+{\bar {B}}\cdot {\bar {H}}\right)-{\bar {E}}\otimes {\bar {D}}-{\bar {B}}\otimes {\bar {H}}\right\}:=\left({\bar {\bar {T}}}\right)

LaTeXML (experimental; uses MathML) rendering

MathML (10.156 KB / 1.515 KB) :

{ ( 1 ) ⁢ 1 2 ⁢ ( E ¯ ⋅ D ¯ + B ¯ ⋅ H ¯ ) - E ¯ ⊗ D ¯ - B ¯ ⊗ H ¯ } := ( T ¯ ¯ ) assign 1 1 2 ⋅ ¯ 𝐸 ¯ 𝐷 ⋅ ¯ 𝐵 ¯ 𝐻 tensor-product ¯ 𝐸 ¯ 𝐷 tensor-product ¯ 𝐵 ¯ 𝐻 ¯ ¯ 𝑇 {\displaystyle{\displaystyle\left\{\left(1\right)\frac{1}{2}\left(\bar{E}\cdot% \bar{D}+\bar{B}\cdot\bar{H}\right)-\bar{E}\otimes\bar{D}-\bar{B}\otimes\bar{H}% \right\}:=\left({\bar{\bar{T}}}\right)}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\left\{\left(1\right)\frac{1}{2}\left(\bar{E}\cdot%&#10;\bar{D}+\bar{B}\cdot\bar{H}\right)-\bar{E}\otimes\bar{D}-\bar{B}\otimes\bar{H}%&#10;\right\}:=\left({\bar{\bar{T}}}\right)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">
      <mrow id="p1.1.m1.1.29.1" xref="p1.1.m1.1.29.1.1.cmml">
        <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.29.1.1.cmml">{</mo>
        <mrow id="p1.1.m1.1.29.1.2" xref="p1.1.m1.1.29.1.2.cmml">
          <mrow id="p1.1.m1.1.29.1.2.1" xref="p1.1.m1.1.29.1.2.1.cmml">
            <mrow id="p1.1.m1.1.29.1.2.1.2" xref="p1.1.m1.1.29.1.2.1.cmml">
              <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.29.1.2.1.cmml">(</mo>
              <mn id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">1</mn>
              <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.29.1.2.1.cmml">)</mo>
            </mrow>
            <mo id="p1.1.m1.1.29.1.2.1.1" xref="p1.1.m1.1.29.1.2.1.1.cmml">⁢</mo>
            <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>
                <mn id="p1.1.m1.1.5.3" xref="p1.1.m1.1.5.3.cmml">2</mn>
              </mfrac>
            </mstyle>
            <mo id="p1.1.m1.1.29.1.2.1.1a" xref="p1.1.m1.1.29.1.2.1.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.29.1.2.1.3" xref="p1.1.m1.1.29.1.2.1.3.2.cmml">
              <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.29.1.2.1.3.2.cmml">(</mo>
              <mrow id="p1.1.m1.1.29.1.2.1.3.2" xref="p1.1.m1.1.29.1.2.1.3.2.cmml">
                <mrow id="p1.1.m1.1.29.1.2.1.3.2.1" xref="p1.1.m1.1.29.1.2.1.3.2.1.cmml">
                  <mover accent="true" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">
                    <mi id="p1.1.m1.1.7.2" xref="p1.1.m1.1.7.2.cmml">E</mi>
                    <mo stretchy="false" id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">¯</mo>
                  </mover>
                  <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">⋅</mo>
                  <mover accent="true" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">
                    <mi id="p1.1.m1.1.9.2" xref="p1.1.m1.1.9.2.cmml">D</mi>
                    <mo stretchy="false" id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">¯</mo>
                  </mover>
                </mrow>
                <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">+</mo>
                <mrow id="p1.1.m1.1.29.1.2.1.3.2.2" xref="p1.1.m1.1.29.1.2.1.3.2.2.cmml">
                  <mover accent="true" id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
                    <mi id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.cmml">B</mi>
                    <mo stretchy="false" id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">¯</mo>
                  </mover>
                  <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.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">H</mi>
                    <mo stretchy="false" id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">¯</mo>
                  </mover>
                </mrow>
              </mrow>
              <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.29.1.2.1.3.2.cmml">)</mo>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">-</mo>
          <mrow id="p1.1.m1.1.29.1.2.2" xref="p1.1.m1.1.29.1.2.2.cmml">
            <mover accent="true" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">
              <mi id="p1.1.m1.1.16.2" xref="p1.1.m1.1.16.2.cmml">E</mi>
              <mo stretchy="false" id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.cmml">¯</mo>
            </mover>
            <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">⊗</mo>
            <mover accent="true" id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">
              <mi id="p1.1.m1.1.18.2" xref="p1.1.m1.1.18.2.cmml">D</mi>
              <mo stretchy="false" id="p1.1.m1.1.18.1" xref="p1.1.m1.1.18.1.cmml">¯</mo>
            </mover>
          </mrow>
          <mo id="p1.1.m1.1.15a" xref="p1.1.m1.1.15.cmml">-</mo>
          <mrow id="p1.1.m1.1.29.1.2.3" xref="p1.1.m1.1.29.1.2.3.cmml">
            <mover accent="true" id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
              <mi id="p1.1.m1.1.20.2" xref="p1.1.m1.1.20.2.cmml">B</mi>
              <mo stretchy="false" id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.cmml">¯</mo>
            </mover>
            <mo id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">⊗</mo>
            <mover accent="true" id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">
              <mi id="p1.1.m1.1.22.2" xref="p1.1.m1.1.22.2.cmml">H</mi>
              <mo stretchy="false" id="p1.1.m1.1.22.1" xref="p1.1.m1.1.22.1.cmml">¯</mo>
            </mover>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.23" xref="p1.1.m1.1.29.1.1.cmml">}</mo>
      </mrow>
      <mo id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">:=</mo>
      <mrow id="p1.1.m1.1.29.2" xref="p1.1.m1.1.27.cmml">
        <mo id="p1.1.m1.1.26" xref="p1.1.m1.1.27.cmml">(</mo>
        <mover accent="true" id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">
          <mover accent="true" id="p1.1.m1.1.27.2" xref="p1.1.m1.1.27.2.cmml">
            <mi id="p1.1.m1.1.27.2.1.2" xref="p1.1.m1.1.27.2.1.2.cmml">T</mi>
            <mo stretchy="false" id="p1.1.m1.1.27.2.1.1" xref="p1.1.m1.1.27.2.1.1.cmml">¯</mo>
          </mover>
          <mo stretchy="false" id="p1.1.m1.1.27.1" xref="p1.1.m1.1.27.1.cmml">¯</mo>
        </mover>
        <mo id="p1.1.m1.1.28" xref="p1.1.m1.1.27.cmml">)</mo>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">
        <csymbol cd="latexml" id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">assign</csymbol>
        <set id="p1.1.m1.1.29.1.1.cmml" xref="p1.1.m1.1.29.1">
          <apply id="p1.1.m1.1.29.1.2.cmml" xref="p1.1.m1.1.29.1.2">
            <minus id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15"/>
            <apply id="p1.1.m1.1.29.1.2.1.cmml" xref="p1.1.m1.1.29.1.2.1">
              <times id="p1.1.m1.1.29.1.2.1.1.cmml" xref="p1.1.m1.1.29.1.2.1.1"/>
              <cn type="integer" id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">1</cn>
              <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>
                <cn type="integer" id="p1.1.m1.1.5.3.cmml" xref="p1.1.m1.1.5.3">2</cn>
              </apply>
              <apply id="p1.1.m1.1.29.1.2.1.3.2.cmml" xref="p1.1.m1.1.29.1.2.1.3">
                <plus id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
                <apply id="p1.1.m1.1.29.1.2.1.3.2.1.cmml" xref="p1.1.m1.1.29.1.2.1.3.2.1">
                  <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">⋅</ci>
                  <apply id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">
                    <ci id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">¯</ci>
                    <ci id="p1.1.m1.1.7.2.cmml" xref="p1.1.m1.1.7.2">𝐸</ci>
                  </apply>
                  <apply id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">
                    <ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">¯</ci>
                    <ci id="p1.1.m1.1.9.2.cmml" xref="p1.1.m1.1.9.2">𝐷</ci>
                  </apply>
                </apply>
                <apply id="p1.1.m1.1.29.1.2.1.3.2.2.cmml" xref="p1.1.m1.1.29.1.2.1.3.2.2">
                  <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">⋅</ci>
                  <apply id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">
                    <ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">¯</ci>
                    <ci id="p1.1.m1.1.11.2.cmml" xref="p1.1.m1.1.11.2">𝐵</ci>
                  </apply>
                  <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">𝐻</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply id="p1.1.m1.1.29.1.2.2.cmml" xref="p1.1.m1.1.29.1.2.2">
              <csymbol cd="latexml" id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">tensor-product</csymbol>
              <apply id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">
                <ci id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16.1">¯</ci>
                <ci id="p1.1.m1.1.16.2.cmml" xref="p1.1.m1.1.16.2">𝐸</ci>
              </apply>
              <apply id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">
                <ci id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18.1">¯</ci>
                <ci id="p1.1.m1.1.18.2.cmml" xref="p1.1.m1.1.18.2">𝐷</ci>
              </apply>
            </apply>
            <apply id="p1.1.m1.1.29.1.2.3.cmml" xref="p1.1.m1.1.29.1.2.3">
              <csymbol cd="latexml" id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">tensor-product</csymbol>
              <apply id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
                <ci id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20.1">¯</ci>
                <ci id="p1.1.m1.1.20.2.cmml" xref="p1.1.m1.1.20.2">𝐵</ci>
              </apply>
              <apply id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">
                <ci id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22.1">¯</ci>
                <ci id="p1.1.m1.1.22.2.cmml" xref="p1.1.m1.1.22.2">𝐻</ci>
              </apply>
            </apply>
          </apply>
        </set>
        <apply id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.29.2">
          <ci id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27.1">¯</ci>
          <apply id="p1.1.m1.1.27.2.cmml" xref="p1.1.m1.1.27.2">
            <ci id="p1.1.m1.1.27.2.1.1.cmml" xref="p1.1.m1.1.27.2.1.1">¯</ci>
            <ci id="p1.1.m1.1.27.2.1.2.cmml" xref="p1.1.m1.1.27.2.1.2">𝑇</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\left\{\left(1\right)\frac{1}{2}\left(\bar{E}\cdot%
\bar{D}+\bar{B}\cdot\bar{H}\right)-\bar{E}\otimes\bar{D}-\bar{B}\otimes\bar{H}%
\right\}:=\left({\bar{\bar{T}}}\right)}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1.942 KB / 327 B) :

{(1)12(E¯⋅D¯+B¯⋅H¯)−E¯⊗D¯−B¯⊗H¯}:=(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="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><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>&#x22C5;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>D</mi><mo>¯</mo></mover></mrow></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x22C5;</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><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2297;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>D</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2297;</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><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>T</mi><mo>¯</mo></mover></mrow></mrow><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 Elektrodynamik Schöll page

Identifiers

  • E¯
  • D¯
  • B¯
  • H¯
  • E¯
  • D¯
  • B¯
  • H¯
  • T¯¯

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "http://physikerwelt.de:8080/w/index.php?title=Special:FormulaInfo"