Jump to navigation
Jump to search
General
Display information for equation id:math.1107.24 on revision:1107
* Page found: ART-Skript (eq math.1107.24)
(force rerendering)Occurrences on the following pages:
Hash: 637c95a0053fbd7517ed10084ff539ee
TeX (original user input):
\begin{align}
& d{{s}^{2}}=cd{{t}^{2}}-{{\left( d{{x}^{1}} \right)}^{2}}-{{\left( d{{x}^{2}} \right)}^{2}}-{{\left( d{{x}^{3}} \right)}^{2}} \\
& ={{\left( d{{x}^{0}} \right)}^{2}}-{{\left( d{{x}^{1}} \right)}^{2}}-{{\left( d{{x}^{2}} \right)}^{2}}-{{\left( d{{x}^{3}} \right)}^{2}} \\
& ={{\eta }_{\mu \nu }}d{{x}^{\nu }}d{{x}^{\mu }}
\end{align}
TeX (checked):
{\begin{aligned}&d{{s}^{2}}=cd{{t}^{2}}-{{\left(d{{x}^{1}}\right)}^{2}}-{{\left(d{{x}^{2}}\right)}^{2}}-{{\left(d{{x}^{3}}\right)}^{2}}\\&={{\left(d{{x}^{0}}\right)}^{2}}-{{\left(d{{x}^{1}}\right)}^{2}}-{{\left(d{{x}^{2}}\right)}^{2}}-{{\left(d{{x}^{3}}\right)}^{2}}\\&={{\eta }_{\mu \nu }}d{{x}^{\nu }}d{{x}^{\mu }}\end{aligned}}
LaTeXML (experimental; uses MathML) rendering
MathML (0 B / 8 B) :
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (2.798 KB / 391 B) :
<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><mi>d</mi><msup><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><mi>c</mi><mi>d</mi><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><mo>=</mo><msub><mi>η</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi></mrow></mrow></msub><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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 ART-Skript page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results