Jump to navigation Jump to search

General

Display information for equation id:math.2146.26 on revision:2146

* Page found: Maxwell- Gleichungen in Materie (eq math.2146.26)

(force rerendering)

Occurrences on the following pages:

Hash: c28b05a478985d8cd2deec8c0c26bd23

TeX (original user input): 

4)\nabla \times H\left( \bar{r},t \right)-\frac{1}{c}\frac{\partial }{\partial t}\bar{D}=\frac{4\pi }{c}\bar{j}

TeX (checked): 

4)\nabla \times H\left({\bar {r}},t\right)-{\frac {1}{c}}{\frac {\partial }{\partial t}}{\bar {D}}={\frac {4\pi }{c}}{\bar {j}}

LaTeXML (experimental; uses MathML) rendering

MathML (6.021 KB / 1.18 KB) :

4 ) ∇ × H ( r ¯ , t ) - 1 c ∂ ∂ ⁡ t D ¯ = 4 ⁢ π c j ¯ fragments 4 ) ∇ H ( ¯ 𝑟 , t ) 1 𝑐 𝑡 ¯ 𝐷 4 𝜋 𝑐 ¯ 𝑗 {\displaystyle{\displaystyle 4)\nabla\times H\left(\bar{r},t\right)-\frac{1}{c% }\frac{\partial}{\partial t}\bar{D}=\frac{4\pi}{c}\bar{j}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle 4)\nabla\times H\left(\bar{r},t\right)-\frac{1}{c%&#10;}\frac{\partial}{\partial t}\bar{D}=\frac{4\pi}{c}\bar{j}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mn id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">4</mn>
      <mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">)</mo>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">∇</mo>
      <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">×</mo>
      <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">H</mi>
      <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">(</mo>
      <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">r</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>
      <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">t</mi>
      <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">)</mo>
      <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">-</mo>
      <mstyle displaystyle="true" id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">
        <mfrac id="p1.1.m1.1.12a" xref="p1.1.m1.1.12.cmml">
          <mn id="p1.1.m1.1.12.2" xref="p1.1.m1.1.12.2.cmml">1</mn>
          <mi id="p1.1.m1.1.12.3" xref="p1.1.m1.1.12.3.cmml">c</mi>
        </mfrac>
      </mstyle>
      <mstyle displaystyle="true" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">
        <mfrac id="p1.1.m1.1.13a" xref="p1.1.m1.1.13.cmml">
          <mo id="p1.1.m1.1.13.2" xref="p1.1.m1.1.13.2.cmml">∂</mo>
          <mrow id="p1.1.m1.1.13.3" xref="p1.1.m1.1.13.3.cmml">
            <mo id="p1.1.m1.1.13.3.1" xref="p1.1.m1.1.13.3.1.cmml">∂</mo>
            <mo id="p1.1.m1.1.13.3a" xref="p1.1.m1.1.13.3.cmml">⁡</mo>
            <mi id="p1.1.m1.1.13.3.2" xref="p1.1.m1.1.13.3.2.cmml">t</mi>
          </mrow>
        </mfrac>
      </mstyle>
      <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">D</mi>
        <mo stretchy="false" id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">¯</mo>
      </mover>
      <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">=</mo>
      <mstyle displaystyle="true" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">
        <mfrac id="p1.1.m1.1.16a" xref="p1.1.m1.1.16.cmml">
          <mrow id="p1.1.m1.1.16.2" xref="p1.1.m1.1.16.2.cmml">
            <mn id="p1.1.m1.1.16.2.1" xref="p1.1.m1.1.16.2.1.cmml">4</mn>
            <mo id="p1.1.m1.1.16.2.3" xref="p1.1.m1.1.16.2.3.cmml">⁢</mo>
            <mi id="p1.1.m1.1.16.2.2" xref="p1.1.m1.1.16.2.2.cmml">π</mi>
          </mrow>
          <mi id="p1.1.m1.1.16.3" xref="p1.1.m1.1.16.3.cmml">c</mi>
        </mfrac>
      </mstyle>
      <mover accent="true" id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">
        <mi id="p1.1.m1.1.17.2" xref="p1.1.m1.1.17.2.cmml">j</mi>
        <mo stretchy="false" id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">¯</mo>
      </mover>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1c">
      <cerror id="p1.1.m1.1d">
        <csymbol cd="ambiguous" id="p1.1.m1.1e">fragments</csymbol>
        <cn type="integer" id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">4</cn>
        <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">)</ci>
        <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">∇</ci>
        <times id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <csymbol cd="unknown" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">H</csymbol>
        <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">(</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">𝑟</ci>
        </apply>
        <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">,</ci>
        <csymbol cd="unknown" id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">t</csymbol>
        <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">)</ci>
        <minus id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
        <apply id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">
          <divide id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12"/>
          <cn type="integer" id="p1.1.m1.1.12.2.cmml" xref="p1.1.m1.1.12.2">1</cn>
          <ci id="p1.1.m1.1.12.3.cmml" xref="p1.1.m1.1.12.3">𝑐</ci>
        </apply>
        <apply id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">
          <divide id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13"/>
          <partialdiff id="p1.1.m1.1.13.2.cmml" xref="p1.1.m1.1.13.2"/>
          <apply id="p1.1.m1.1.13.3.cmml" xref="p1.1.m1.1.13.3">
            <partialdiff id="p1.1.m1.1.13.3.1.cmml" xref="p1.1.m1.1.13.3.1"/>
            <ci id="p1.1.m1.1.13.3.2.cmml" xref="p1.1.m1.1.13.3.2">𝑡</ci>
          </apply>
        </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">𝐷</ci>
        </apply>
        <eq id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15"/>
        <apply id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">
          <divide id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16"/>
          <apply id="p1.1.m1.1.16.2.cmml" xref="p1.1.m1.1.16.2">
            <times id="p1.1.m1.1.16.2.3.cmml" xref="p1.1.m1.1.16.2.3"/>
            <cn type="integer" id="p1.1.m1.1.16.2.1.cmml" xref="p1.1.m1.1.16.2.1">4</cn>
            <ci id="p1.1.m1.1.16.2.2.cmml" xref="p1.1.m1.1.16.2.2">𝜋</ci>
          </apply>
          <ci id="p1.1.m1.1.16.3.cmml" xref="p1.1.m1.1.16.3">𝑐</ci>
        </apply>
        <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>
          <ci id="p1.1.m1.1.17.2.cmml" xref="p1.1.m1.1.17.2">𝑗</ci>
        </apply>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle 4)\nabla\times H\left(\bar{r},t\right)-\frac{1}{c%
}\frac{\partial}{\partial t}\bar{D}=\frac{4\pi}{c}\bar{j}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1.282 KB / 365 B) :

4)∇×H(r¯,t)−1c∂∂tD¯=4πcj¯
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>4</mn><mo stretchy="false">)</mo><mi mathvariant="normal">&#x2207;</mi><mo>&#x00D7;</mo><mi>H</mi><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>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>t</mi></mrow></mrow></mfrac></mrow><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"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>&#x03C0;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></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 Maxwell- Gleichungen in Materie page

Identifiers

  • H
  • r¯
  • t
  • c
  • t
  • D¯
  • π
  • c
  • j¯

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"