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Display information for equation id:math.1110.9 on revision:1110

* Page found: ART-Skript (eq math.1110.9)

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Hash: 07308de5534509dfd2bf3f14c6bcf11d

TeX (original user input):

d{{\sigma }^{2}}={{\left( d{{x}^{1}} \right)}^{2}}+{{\left( d{{x}^{2}} \right)}^{2}}+{{\left( d{{x}^{3}} \right)}^{2}}={{\left( dx{{'}^{1}} \right)}^{2}}+{{\left( dx{{'}^{2}} \right)}^{2}}+{{\left( dx{{'}^{3}} \right)}^{2}}=d\sigma {{'}^{2}}

TeX (checked):

d{{\sigma }^{2}}={{\left(d{{x}^{1}}\right)}^{2}}+{{\left(d{{x}^{2}}\right)}^{2}}+{{\left(d{{x}^{3}}\right)}^{2}}={{\left(dx{{'}^{1}}\right)}^{2}}+{{\left(dx{{'}^{2}}\right)}^{2}}+{{\left(dx{{'}^{3}}\right)}^{2}}=d\sigma {{'}^{2}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.909 KB / 284 B) :

dσ2=(dx1)2+(dx2)2+(dx3)2=(dx'1)2+(dx'2)2+(dx'3)2=dσ'2
<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>&#x03C3;</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><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>d</mi><mi>x</mi><msup><mi>'</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><mi>x</mi><msup><mi>'</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><mi>x</mi><msup><mi>'</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><mo>=</mo><mi>d</mi><mi>&#x03C3;</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>

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Identifiers

  • d
  • σ
  • d
  • x
  • d
  • x
  • d
  • x
  • d
  • x
  • d
  • x
  • d
  • x
  • d
  • σ

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