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Display information for equation id:math.2170.6 on revision:2170

* Page found: Transformationsverhalten der Ströme und Felder (eq math.2170.6)

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TeX (original user input): 

\begin{align}
& {{x}^{0}}\acute{\ }=\gamma \left( {{x}^{0}}-\beta {{x}^{1}} \right)\Leftrightarrow t\acute{\ }=\gamma \left( t-\frac{v}{{{c}^{2}}}{{x}^{1}} \right) \\
& {{x}^{1}}\acute{\ }=\gamma \left( {{x}^{1}}-\beta {{x}^{0}} \right)\Leftrightarrow {{x}^{1}}\acute{\ }=\gamma \left( {{x}^{1}}-vt \right) \\
& {{x}^{2}}\acute{\ }={{x}^{2}} \\
& {{x}^{3}}\acute{\ }={{x}^{3}} \\
\end{align}

TeX (checked): 

{\begin{aligned}&{{x}^{0}}{\acute {\ }}=\gamma \left({{x}^{0}}-\beta {{x}^{1}}\right)\Leftrightarrow t{\acute {\ }}=\gamma \left(t-{\frac {v}{{c}^{2}}}{{x}^{1}}\right)\\&{{x}^{1}}{\acute {\ }}=\gamma \left({{x}^{1}}-\beta {{x}^{0}}\right)\Leftrightarrow {{x}^{1}}{\acute {\ }}=\gamma \left({{x}^{1}}-vt\right)\\&{{x}^{2}}{\acute {\ }}={{x}^{2}}\\&{{x}^{3}}{\acute {\ }}={{x}^{3}}\\\end{aligned}}

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MathML (30.934 KB / 3.2 KB) :

x 0 ⁢ ´ = γ ⁢ ( x 0 - β ⁢ x 1 ) ⇔ t ⁢ ´ = γ ⁢ ( t - v c 2 ⁢ x 1 ) x 1 ⁢ ´ = γ ⁢ ( x 1 - β ⁢ x 0 ) ⇔ x 1 ⁢ ´ = γ ⁢ ( x 1 - v ⁢ t ) x 2 ⁢ ´ = x 2 x 3 ⁢ ´ = x 3 missing-subexpression ⇔ superscript 𝑥 0 ´ absent 𝛾 superscript 𝑥 0 𝛽 superscript 𝑥 1 𝑡 ´ absent 𝛾 𝑡 𝑣 superscript 𝑐 2 superscript 𝑥 1 missing-subexpression ⇔ superscript 𝑥 1 ´ absent 𝛾 superscript 𝑥 1 𝛽 superscript 𝑥 0 superscript 𝑥 1 ´ absent 𝛾 superscript 𝑥 1 𝑣 𝑡 missing-subexpression superscript 𝑥 2 ´ absent superscript 𝑥 2 missing-subexpression superscript 𝑥 3 ´ absent superscript 𝑥 3 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle{{x}^{0}}\acute{\ }=% \gamma\left({{x}^{0}}-\beta{{x}^{1}}\right)\Leftrightarrow t\acute{\ }=\gamma% \left(t-\frac{v}{{{c}^{2}}}{{x}^{1}}\right)\\ &\displaystyle{{x}^{1}}\acute{\ }=\gamma\left({{x}^{1}}-\beta{{x}^{0}}\right)% \Leftrightarrow{{x}^{1}}\acute{\ }=\gamma\left({{x}^{1}}-vt\right)\\ &\displaystyle{{x}^{2}}\acute{\ }={{x}^{2}}\\ &\displaystyle{{x}^{3}}\acute{\ }={{x}^{3}}\\ \end{aligned}}}

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MathML (3.25 KB / 471 B) :

x0´=γ(x0−βx1)⇔t´=γ(t−vc2x1)x1´=γ(x1−βx0)⇔x1´=γ(x1−vt)x2´=x2x3´=x3

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