– PhysikWiki

General

Display information for equation id:math.1446.45 on revision:1446

* Page found: Relativistische Formulierung der Elektrodynamik (eq math.1446.45)

Occurrences on the following pages:

Transformationsverhalten der Ströme und Felder Eq: math.2174.16

Hash: af5b9e4c123711d7c44977b916e4b419

TeX (original user input):

\begin{align}
& {{\Phi }^{0}}\acute{\ }=\gamma \left( {{\Phi }^{0}}-\beta {{\Phi }^{1}} \right)\quad bzw.\quad \Phi \acute{\ }=\gamma \left( \Phi -v{{A}^{1}} \right) \\
& {{\Phi }^{1}}\acute{\ }=\gamma \left( {{\Phi }^{1}}-\beta {{\Phi }^{0}} \right)\quad bzw.\quad A{{\acute{\ }}^{1}}=\gamma \left( {{A}^{1}}-\frac{v}{{{c}^{2}}}\Phi  \right),{{A}^{\acute{\ }2}}={{A}^{2}},A{{\acute{\ }}^{3}}={{A}^{3}} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\Phi }^{0}}{\acute {\ }}=\gamma \left({{\Phi }^{0}}-\beta {{\Phi }^{1}}\right)\quad bzw.\quad \Phi {\acute {\ }}=\gamma \left(\Phi -v{{A}^{1}}\right)\\&{{\Phi }^{1}}{\acute {\ }}=\gamma \left({{\Phi }^{1}}-\beta {{\Phi }^{0}}\right)\quad bzw.\quad A{{\acute {\ }}^{1}}=\gamma \left({{A}^{1}}-{\frac {v}{{c}^{2}}}\Phi \right),{{A}^{{\acute {\ }}2}}={{A}^{2}},A{{\acute {\ }}^{3}}={{A}^{3}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :

MathML (experimentell; keine Bilder) rendering

MathML (3.646 KB / 539 B) :

\begin{aligned} Φ^{0} \overset{´}{} = γ (Φ^{0} - β Φ^{1}) b z w . Φ \overset{´}{} = γ (Φ - v A^{1}) \\ Φ^{1} \overset{´}{} = γ (Φ^{1} - β Φ^{0}) b z w . A {\overset{´}{}}^{1} = γ (A^{1} - \frac{v}{c^{2}} Φ), A^{\overset{´}{} 2} = A^{2}, A {\overset{´}{}}^{3} = A^{3} \end{aligned}

<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"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msup><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo>=</mo><mi>&#x03B3;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo>&#x2212;</mo><mi>&#x03B2;</mi><msup><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="1em"></mspace><mi>b</mi><mi>z</mi><mi>w</mi><mo>.</mo><mspace width="1em"></mspace><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo>=</mo><mi>&#x03B3;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">&#x03A6;</mi><mo>&#x2212;</mo><mi>v</mi><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo>=</mo><mi>&#x03B3;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo>&#x2212;</mo><mi>&#x03B2;</mi><msup><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="1em"></mspace><mi>b</mi><mi>z</mi><mi>w</mi><mo>.</mo><mspace width="1em"></mspace><mi>A</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo>=</mo><mi>&#x03B3;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow><mrow data-mjx-texclass="ORD"><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mi mathvariant="normal">&#x03A6;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>,</mo><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mn>2</mn></mrow></mrow></msup><mo>=</mo><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>,</mo><mi>A</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mo>=</mo><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

$Φ$

$\overset{´}{}$

$γ$

$Φ$

$β$

$Φ$

$b$

$z$

$w$

$Φ$

$\overset{´}{}$

$γ$

$Φ$

$v$

$A$

$Φ$

$\overset{´}{}$

$γ$

$Φ$

$β$

$Φ$

$b$

$z$

$w$

$A$

$\overset{´}{}$

$γ$

$A$

$v$

$c$

$Φ$

$A$

$\overset{´}{}$

$A$

$A$

$\overset{´}{}$

$A$

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

General

LaTeXML (experimentell; verwendet MathML) rendering

MathML (experimentell; keine Bilder) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigationsmenü

General

LaTeXML (experimentell; verwendet MathML) rendering

MathML (experimentell; keine Bilder) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigationsmenü

Suche