Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.2171.34 on revision:2171

* Page found: Transformationsverhalten der Ströme und Felder (eq math.2171.34)

(force rerendering)

Occurrences on the following pages:

Hash: 837ff81445011e80e01ad2beaa42199f

TeX (original user input): 

\begin{align}
& E{{\acute{\ }}^{1}}=F{{\acute{\ }}^{10}}={{U}^{1}}_{\lambda }{{U}^{0}}_{\kappa }{{F}^{\lambda \kappa }}=-\beta \gamma {{U}^{0}}_{\kappa }{{F}^{0\kappa }}+\gamma {{U}^{0}}_{\kappa }{{F}^{1\kappa }}={{\left( \beta \gamma  \right)}^{2}}{{F}^{01}}+{{\gamma }^{2}}{{F}^{10}}= \\
& ={{\gamma }^{2}}\left( 1-{{\beta }^{2}} \right){{F}^{10}}={{E}^{1}} \\
& {{\gamma }^{2}}\left( 1-{{\beta }^{2}} \right)=1 \\
&  \\
& E{{\acute{\ }}^{2}}=F{{\acute{\ }}^{20}}={{U}^{2}}_{\lambda }{{U}^{0}}_{\kappa }{{F}^{\lambda \kappa }}={{U}^{0}}_{\kappa }{{F}^{2\kappa }}=\gamma {{F}^{20}}-\beta \gamma {{F}^{21}}=\gamma \left( {{E}^{2}}-v{{B}^{3}} \right) \\
\end{align}

TeX (checked): 

{\begin{aligned}&E{{\acute {\ }}^{1}}=F{{\acute {\ }}^{10}}={{U}^{1}}_{\lambda }{{U}^{0}}_{\kappa }{{F}^{\lambda \kappa }}=-\beta \gamma {{U}^{0}}_{\kappa }{{F}^{0\kappa }}+\gamma {{U}^{0}}_{\kappa }{{F}^{1\kappa }}={{\left(\beta \gamma \right)}^{2}}{{F}^{01}}+{{\gamma }^{2}}{{F}^{10}}=\\&={{\gamma }^{2}}\left(1-{{\beta }^{2}}\right){{F}^{10}}={{E}^{1}}\\&{{\gamma }^{2}}\left(1-{{\beta }^{2}}\right)=1\\&\\&E{{\acute {\ }}^{2}}=F{{\acute {\ }}^{20}}={{U}^{2}}_{\lambda }{{U}^{0}}_{\kappa }{{F}^{\lambda \kappa }}={{U}^{0}}_{\kappa }{{F}^{2\kappa }}=\gamma {{F}^{20}}-\beta \gamma {{F}^{21}}=\gamma \left({{E}^{2}}-v{{B}^{3}}\right)\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (55.027 KB / 5.644 KB) :

E ⁢ ´ 1 = F ⁢ ´ 10 = U 1 λ ⁢ U 0 κ ⁢ F λ ⁢ κ = - β ⁢ γ ⁢ U 0 κ ⁢ F 0 ⁢ κ + γ ⁢ U 0 κ ⁢ F 1 ⁢ κ = ( β ⁢ γ ) 2 ⁢ F 01 + γ 2 ⁢ F 10 = = γ 2 ⁢ ( 1 - β 2 ) ⁢ F 10 = E 1 γ 2 ⁢ ( 1 - β 2 ) = 1 E ⁢ ´ 2 = F ⁢ ´ 20 = U 2 λ ⁢ U 0 κ ⁢ F λ ⁢ κ = U 0 κ ⁢ F 2 ⁢ κ = γ ⁢ F 20 - β ⁢ γ ⁢ F 21 = γ ⁢ ( E 2 - v ⁢ B 3 ) missing-subexpression 𝐸 superscript ´ absent 1 𝐹 superscript ´ absent 10 subscript superscript 𝑈 1 𝜆 subscript superscript 𝑈 0 𝜅 superscript 𝐹 𝜆 𝜅 𝛽 𝛾 subscript superscript 𝑈 0 𝜅 superscript 𝐹 0 𝜅 𝛾 subscript superscript 𝑈 0 𝜅 superscript 𝐹 1 𝜅 superscript 𝛽 𝛾 2 superscript 𝐹 01 superscript 𝛾 2 superscript 𝐹 10 absent missing-subexpression absent superscript 𝛾 2 1 superscript 𝛽 2 superscript 𝐹 10 superscript 𝐸 1 missing-subexpression superscript 𝛾 2 1 superscript 𝛽 2 1 missing-subexpression missing-subexpression missing-subexpression 𝐸 superscript ´ absent 2 𝐹 superscript ´ absent 20 subscript superscript 𝑈 2 𝜆 subscript superscript 𝑈 0 𝜅 superscript 𝐹 𝜆 𝜅 subscript superscript 𝑈 0 𝜅 superscript 𝐹 2 𝜅 𝛾 superscript 𝐹 20 𝛽 𝛾 superscript 𝐹 21 𝛾 superscript 𝐸 2 𝑣 superscript 𝐵 3 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle E{{\acute{\ }}^{1}}% =F{{\acute{\ }}^{10}}={{U}^{1}}_{\lambda}{{U}^{0}}_{\kappa}{{F}^{\lambda\kappa% }}=-\beta\gamma{{U}^{0}}_{\kappa}{{F}^{0\kappa}}+\gamma{{U}^{0}}_{\kappa}{{F}^% {1\kappa}}={{\left(\beta\gamma\right)}^{2}}{{F}^{01}}+{{\gamma}^{2}}{{F}^{10}}% =\\ &\displaystyle={{\gamma}^{2}}\left(1-{{\beta}^{2}}\right){{F}^{10}}={{E}^{1}}% \\ &\displaystyle{{\gamma}^{2}}\left(1-{{\beta}^{2}}\right)=1\\ &\\ &\displaystyle E{{\acute{\ }}^{2}}=F{{\acute{\ }}^{20}}={{U}^{2}}_{\lambda}{{U% }^{0}}_{\kappa}{{F}^{\lambda\kappa}}={{U}^{0}}_{\kappa}{{F}^{2\kappa}}=\gamma{% {F}^{20}}-\beta\gamma{{F}^{21}}=\gamma\left({{E}^{2}}-v{{B}^{3}}\right)\\ \end{aligned}}}

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (5.148 KB / 593 B) :

E´1=F´10=U1λU0κFλκ=−βγU0κF0κ+γU0κF1κ=(βγ)2F01+γ2F10==γ2(1−β2)F10=E1γ2(1−β2)=1E´2=F´20=U2λU0κFλκ=U0κF2κ=γF20−βγF21=γ(E2−vB3)

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 Transformationsverhalten der Ströme und Felder page

Identifiers

  • E
  • ´
  • F
  • ´
  • Uλ
  • Uκ
  • F
  • λ
  • κ
  • β
  • γ
  • Uκ
  • F
  • κ
  • γ
  • Uκ
  • F
  • κ
  • β
  • γ
  • F
  • γ
  • F
  • γ
  • β
  • F
  • E
  • γ
  • β
  • E
  • ´
  • F
  • ´
  • Uλ
  • Uκ
  • F
  • λ
  • κ
  • Uκ
  • F
  • κ
  • γ
  • F
  • β
  • γ
  • F
  • γ
  • E
  • v
  • B

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“