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Display information for equation id:math.1513.14 on revision:1513

* Page found: Normalschwingungen (eq math.1513.14)

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Hash: c1eebb260b2fcfb8e512aee0b882a6c0

TeX (original user input):

\begin{align}
  & {{T}_{12}}={{T}_{21}}=mr\left( \sin \vartheta \cos \phi \cos \vartheta \cos \phi +\sin \vartheta \sin \phi \cos \vartheta \sin \phi -\sin \vartheta \cos \vartheta  \right)=0 \\
 & {{T}_{13}}={{T}_{31}}=0 \\
 & {{T}_{23}}={{T}_{32}}=0 \\
\end{align}

TeX (checked):

{\begin{aligned}&{{T}_{12}}={{T}_{21}}=mr\left(\sin \vartheta \cos \phi \cos \vartheta \cos \phi +\sin \vartheta \sin \phi \cos \vartheta \sin \phi -\sin \vartheta \cos \vartheta \right)=0\\&{{T}_{13}}={{T}_{31}}=0\\&{{T}_{23}}={{T}_{32}}=0\\\end{aligned}}

LaTeXML (experimental; uses MathML) rendering

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MathML (experimental; no images) rendering

MathML (1.759 KB / 377 B) :

T12=T21=mr(sinϑcosϕcosϑcosϕ+sinϑsinϕcosϑsinϕsinϑcosϑ)=0T13=T31=0T23=T32=0
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>12</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>21</mn></mrow></msub><mo stretchy="false">=</mo><mi>m</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>sin</mi><mo>&#x2061;</mo><mi>ϑ</mi><mi>cos</mi><mo>&#x2061;</mo><mi>ϕ</mi><mi>cos</mi><mo>&#x2061;</mo><mi>ϑ</mi><mi>cos</mi><mo>&#x2061;</mo><mi>ϕ</mi><mo stretchy="false">+</mo><mi>sin</mi><mo>&#x2061;</mo><mi>ϑ</mi><mi>sin</mi><mo>&#x2061;</mo><mi>ϕ</mi><mi>cos</mi><mo>&#x2061;</mo><mi>ϑ</mi><mi>sin</mi><mo>&#x2061;</mo><mi>ϕ</mi><mo stretchy="false"></mo><mi>sin</mi><mo>&#x2061;</mo><mi>ϑ</mi><mi>cos</mi><mo>&#x2061;</mo><mi>ϑ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>13</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>31</mn></mrow></msub><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>23</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>32</mn></mrow></msub><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Normalschwingungen page

Identifiers

  • T12
  • T21
  • m
  • r
  • ϑ
  • ϕ
  • ϑ
  • ϕ
  • ϑ
  • ϕ
  • ϑ
  • ϕ
  • ϑ
  • ϑ
  • T13
  • T31
  • T23
  • T32

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