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Display information for equation id:math.2685.20 on revision:2685

* Page found: Weitere Eigenschaften der Dirac-Gleichung (eq math.2685.20)

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TeX (original user input): 

x{{'}_{\mu }}x{{'}^{\mu }}={{g}_{\mu }}_{\nu }x{{'}^{\nu }}x{{'}^{\mu }}={{g}_{\mu }}_{\nu }{{L}^{\nu }}_{\alpha }{{x}^{\alpha }}{{L}^{\mu }}_{\beta }{{x}^{\beta }}={{g}_{\alpha }}_{\beta }{{x}^{\alpha }}{{x}^{\beta }}={{x}_{\beta }}{{x}^{\beta }}

TeX (checked): 

x{{'}_{\mu }}x{{'}^{\mu }}={{g}_{\mu }}_{\nu }x{{'}^{\nu }}x{{'}^{\mu }}={{g}_{\mu }}_{\nu }{{L}^{\nu }}_{\alpha }{{x}^{\alpha }}{{L}^{\mu }}_{\beta }{{x}^{\beta }}={{g}_{\alpha }}_{\beta }{{x}^{\alpha }}{{x}^{\beta }}={{x}_{\beta }}{{x}^{\beta }}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (13.407 KB / 1.727 KB) :

x x ′ μ = ′ μ g μ ν x x ′ ν = ′ μ g μ ν L ν α x α L μ β x β = g α β x α x β = x β x β fragments x superscript subscript 𝑥 𝜇 ′ superscript superscript 𝜇 ′ subscript subscript 𝑔 𝜇 𝜈 x superscript superscript 𝑥 𝜈 ′ superscript superscript 𝜇 ′ subscript subscript 𝑔 𝜇 𝜈 subscript superscript 𝐿 𝜈 𝛼 superscript 𝑥 𝛼 subscript superscript 𝐿 𝜇 𝛽 superscript 𝑥 𝛽 subscript subscript 𝑔 𝛼 𝛽 superscript 𝑥 𝛼 superscript 𝑥 𝛽 subscript 𝑥 𝛽 superscript 𝑥 𝛽 {\displaystyle{\displaystyle x{{{}^{\prime}}_{\mu}}x{{{}^{\prime}}^{\mu}}={{g}% _{\mu}}_{\nu}x{{{}^{\prime}}^{\nu}}x{{{}^{\prime}}^{\mu}}={{g}_{\mu}}_{\nu}{{L% }^{\nu}}_{\alpha}{{x}^{\alpha}}{{L}^{\mu}}_{\beta}{{x}^{\beta}}={{g}_{\alpha}}% _{\beta}{{x}^{\alpha}}{{x}^{\beta}}={{x}_{\beta}}{{x}^{\beta}}}}

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MathML (experimentell; keine Bilder) rendering

MathML (1.7 KB / 266 B) :

x'μx'μ=gμνx'νx'μ=gμνLναxαLμβxβ=gαβxαxβ=xβxβ

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  • gμν
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  • xβ
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