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Display information for equation id:math.1110.35 on revision:1110

* Page found: ART-Skript (eq math.1110.35)

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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}}={{\delta }_{ik}}d{{x}^{i}}d{{x}^{k}}

TeX (checked):

d{{\sigma }^{2}}={{\left(d{{x}^{1}}\right)}^{2}}+{{\left(d{{x}^{2}}\right)}^{2}}+{{\left(d{{x}^{3}}\right)}^{2}}={{\delta }_{ik}}d{{x}^{i}}d{{x}^{k}}

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MathML (experimentell; keine Bilder) rendering

MathML (1.301 KB / 291 B) :

dσ2=(dx1)2+(dx2)2+(dx3)2=δikdxidxk
<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><msub><mi>&#x03B4;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup></mstyle></mrow></math>

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Identifiers

  • d
  • σ
  • d
  • x
  • d
  • x
  • d
  • x
  • δik
  • d
  • x
  • i
  • d
  • x
  • k

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