General Display information for equation id:math.1110.149 on revision:1110
* Page found: ART-Skript (eq math.1110.149)
(force rerendering) Occurrences on the following pages:
Hash: 6dc1c8c29ca877f6cf0db9753d577b8c
TeX (original user input):
d{{ s}^{ 2}} ={{ g}_{ \mu \nu }} \left ( x \right )d{{ x}^{ \mu }} d{{ x}^{ \nu }}
TeX (checked):
d{{ s}^{ 2}} ={{ g}_{ \mu \nu }} \left (x\right )d{{ x}^{ \mu }} d{{ x}^{ \nu }}
LaTeXML (experimentell; verwendet MathML) rendering Ausklappen MathML (4.945 KB / 933 B) :
d
s
2
=
g
μ
ν
(
x
)
d
x
μ
d
x
ν
𝑑
superscript
𝑠
2
subscript
𝑔
𝜇
𝜈
𝑥
𝑑
superscript
𝑥
𝜇
𝑑
superscript
𝑥
𝜈
{\displaystyle{\displaystyle d{{s}^{2}}={{g}_{\mu\nu}}\left(x\right)d{{x}^{\mu%
}}d{{x}^{\nu}}}}
<math xmlns= "http://www.w3.org/1998/Math/MathML" id= "p1.1.m1.1" class= "ltx_Math" alttext= "{\displaystyle{\displaystyle d{{s}^{2}}={{g}_{\mu\nu}}\left(x\right)d{{x}^{\mu% }}d{{x}^{\nu}}}}" display= "inline" >
<semantics id= "p1.1.m1.1a" >
<mrow id= "p1.1.m1.1.16" xref= "p1.1.m1.1.16.cmml" >
<mrow id= "p1.1.m1.1.16.1" xref= "p1.1.m1.1.16.1.cmml" >
<mi id= "p1.1.m1.1.1" xref= "p1.1.m1.1.1.cmml" > d</mi>
<mo id= "p1.1.m1.1.16.1.1" xref= "p1.1.m1.1.16.1.1.cmml" > </mo>
<msup id= "p1.1.m1.1.16.1.2" xref= "p1.1.m1.1.16.1.2.cmml" >
<mi id= "p1.1.m1.1.2" xref= "p1.1.m1.1.2.cmml" > s</mi>
<mn id= "p1.1.m1.1.3.1" xref= "p1.1.m1.1.3.1.cmml" > 2</mn>
</msup>
</mrow>
<mo id= "p1.1.m1.1.4" xref= "p1.1.m1.1.4.cmml" > =</mo>
<mrow id= "p1.1.m1.1.16.2" xref= "p1.1.m1.1.16.2.cmml" >
<msub id= "p1.1.m1.1.16.2.2" xref= "p1.1.m1.1.16.2.2.cmml" >
<mi id= "p1.1.m1.1.5" xref= "p1.1.m1.1.5.cmml" > g</mi>
<mrow id= "p1.1.m1.1.6.1" xref= "p1.1.m1.1.6.1.cmml" >
<mi id= "p1.1.m1.1.6.1.1" xref= "p1.1.m1.1.6.1.1.cmml" > μ</mi>
<mo id= "p1.1.m1.1.6.1.3" xref= "p1.1.m1.1.6.1.3.cmml" > </mo>
<mi id= "p1.1.m1.1.6.1.2" xref= "p1.1.m1.1.6.1.2.cmml" > ν</mi>
</mrow>
</msub>
<mo id= "p1.1.m1.1.16.2.1" xref= "p1.1.m1.1.16.2.1.cmml" > </mo>
<mrow id= "p1.1.m1.1.16.2.3" xref= "p1.1.m1.1.16.2.cmml" >
<mo id= "p1.1.m1.1.7" xref= "p1.1.m1.1.16.2.cmml" > (</mo>
<mi id= "p1.1.m1.1.8" xref= "p1.1.m1.1.8.cmml" > x</mi>
<mo id= "p1.1.m1.1.9" xref= "p1.1.m1.1.16.2.cmml" > )</mo>
</mrow>
<mo id= "p1.1.m1.1.16.2.1a" xref= "p1.1.m1.1.16.2.1.cmml" > </mo>
<mi id= "p1.1.m1.1.10" xref= "p1.1.m1.1.10.cmml" > d</mi>
<mo id= "p1.1.m1.1.16.2.1b" xref= "p1.1.m1.1.16.2.1.cmml" > </mo>
<msup id= "p1.1.m1.1.16.2.4" xref= "p1.1.m1.1.16.2.4.cmml" >
<mi id= "p1.1.m1.1.11" xref= "p1.1.m1.1.11.cmml" > x</mi>
<mi id= "p1.1.m1.1.12.1" xref= "p1.1.m1.1.12.1.cmml" > μ</mi>
</msup>
<mo id= "p1.1.m1.1.16.2.1c" xref= "p1.1.m1.1.16.2.1.cmml" > </mo>
<mi id= "p1.1.m1.1.13" xref= "p1.1.m1.1.13.cmml" > d</mi>
<mo id= "p1.1.m1.1.16.2.1d" xref= "p1.1.m1.1.16.2.1.cmml" > </mo>
<msup id= "p1.1.m1.1.16.2.5" xref= "p1.1.m1.1.16.2.5.cmml" >
<mi id= "p1.1.m1.1.14" xref= "p1.1.m1.1.14.cmml" > x</mi>
<mi id= "p1.1.m1.1.15.1" xref= "p1.1.m1.1.15.1.cmml" > ν</mi>
</msup>
</mrow>
</mrow>
<annotation-xml encoding= "MathML-Content" id= "p1.1.m1.1b" >
<apply id= "p1.1.m1.1.16.cmml" xref= "p1.1.m1.1.16" >
<eq id= "p1.1.m1.1.4.cmml" xref= "p1.1.m1.1.4" />
<apply id= "p1.1.m1.1.16.1.cmml" xref= "p1.1.m1.1.16.1" >
<times id= "p1.1.m1.1.16.1.1.cmml" xref= "p1.1.m1.1.16.1.1" />
<ci id= "p1.1.m1.1.1.cmml" xref= "p1.1.m1.1.1" > 𝑑</ci>
<apply id= "p1.1.m1.1.16.1.2.cmml" xref= "p1.1.m1.1.16.1.2" >
<csymbol cd= "ambiguous" id= "p1.1.m1.1.16.1.2.1.cmml" xref= "p1.1.m1.1.16.1.2" > superscript</csymbol>
<ci id= "p1.1.m1.1.2.cmml" xref= "p1.1.m1.1.2" > 𝑠</ci>
<cn type= "integer" id= "p1.1.m1.1.3.1.cmml" xref= "p1.1.m1.1.3.1" > 2</cn>
</apply>
</apply>
<apply id= "p1.1.m1.1.16.2.cmml" xref= "p1.1.m1.1.16.2" >
<times id= "p1.1.m1.1.16.2.1.cmml" xref= "p1.1.m1.1.16.2.1" />
<apply id= "p1.1.m1.1.16.2.2.cmml" xref= "p1.1.m1.1.16.2.2" >
<csymbol cd= "ambiguous" id= "p1.1.m1.1.16.2.2.1.cmml" xref= "p1.1.m1.1.16.2.2" > subscript</csymbol>
<ci id= "p1.1.m1.1.5.cmml" xref= "p1.1.m1.1.5" > 𝑔</ci>
<apply id= "p1.1.m1.1.6.1.cmml" xref= "p1.1.m1.1.6.1" >
<times id= "p1.1.m1.1.6.1.3.cmml" xref= "p1.1.m1.1.6.1.3" />
<ci id= "p1.1.m1.1.6.1.1.cmml" xref= "p1.1.m1.1.6.1.1" > 𝜇</ci>
<ci id= "p1.1.m1.1.6.1.2.cmml" xref= "p1.1.m1.1.6.1.2" > 𝜈</ci>
</apply>
</apply>
<ci id= "p1.1.m1.1.8.cmml" xref= "p1.1.m1.1.8" > 𝑥</ci>
<ci id= "p1.1.m1.1.10.cmml" xref= "p1.1.m1.1.10" > 𝑑</ci>
<apply id= "p1.1.m1.1.16.2.4.cmml" xref= "p1.1.m1.1.16.2.4" >
<csymbol cd= "ambiguous" id= "p1.1.m1.1.16.2.4.1.cmml" xref= "p1.1.m1.1.16.2.4" > superscript</csymbol>
<ci id= "p1.1.m1.1.11.cmml" xref= "p1.1.m1.1.11" > 𝑥</ci>
<ci id= "p1.1.m1.1.12.1.cmml" xref= "p1.1.m1.1.12.1" > 𝜇</ci>
</apply>
<ci id= "p1.1.m1.1.13.cmml" xref= "p1.1.m1.1.13" > 𝑑</ci>
<apply id= "p1.1.m1.1.16.2.5.cmml" xref= "p1.1.m1.1.16.2.5" >
<csymbol cd= "ambiguous" id= "p1.1.m1.1.16.2.5.1.cmml" xref= "p1.1.m1.1.16.2.5" > superscript</csymbol>
<ci id= "p1.1.m1.1.14.cmml" xref= "p1.1.m1.1.14" > 𝑥</ci>
<ci id= "p1.1.m1.1.15.1.cmml" xref= "p1.1.m1.1.15.1" > 𝜈</ci>
</apply>
</apply>
</apply>
</annotation-xml>
<annotation encoding= "application/x-tex" id= "p1.1.m1.1c" > {\displaystyle{\displaystyle d{{s}^{2}}={{g}_{\mu\nu}}\left(x\right)d{{x}^{\mu%
}}d{{x}^{\nu}}}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering Ausklappen MathML (686 B / 266 B) :
d s 2 = g μ ν ( x ) d x μ d x ν <math class= "mwe-math-element" xmlns= "http://www.w3.org/1998/Math/MathML" ><mrow data-mjx-texclass= "ORD" ><mstyle displaystyle= "true" scriptlevel= "0" ><mi> d</mi><msup><mi> s</mi><mrow data-mjx-texclass= "ORD" ><mn> 2</mn></mrow></msup><mo> =</mo><msub><mi> g</mi><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> μ </mi><mi> ν </mi></mrow></mrow></msub><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mi> x</mi><mo data-mjx-texclass= "CLOSE" > )</mo></mrow><mi> d</mi><msup><mi> x</mi><mrow data-mjx-texclass= "ORD" ><mi> μ </mi></mrow></msup><mi> d</mi><msup><mi> x</mi><mrow data-mjx-texclass= "ORD" ><mi> ν </mi></mrow></msup></mstyle></mrow></math>
Translations to Computer Algebra Systems Translation to Maple Translation to Mathematica Ausklappen In Mathematica:
Similar pages Calculated based on the variables occurring on the entire ART-Skript page
Identifiers MathML observations 0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results