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Display information for equation id:math.1515.8 on revision:1515

* Page found: Normalschwingungen (eq math.1515.8)

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Occurrences on the following pages:

Hash: e8578d7f0916b6774c217ab88c4f2719

TeX (original user input):

\begin{align}
  & \left( r,\vartheta ,\phi  \right)=\left( {{q}_{1}},{{q}_{2}},{{q}_{3}} \right) \\
 & x=r\cos \phi \sin \vartheta  \\
 & y=r\sin \phi \sin \vartheta  \\
 & z=r\cos \vartheta  \\
\end{align}

TeX (checked):

{\begin{aligned}&\left(r,\vartheta ,\phi \right)=\left({{q}_{1}},{{q}_{2}},{{q}_{3}}\right)\\&x=r\cos \phi \sin \vartheta \\&y=r\sin \phi \sin \vartheta \\&z=r\cos \vartheta \\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.367 KB / 370 B) :

(r,ϑ,ϕ)=(q1,q2,q3)x=rcosϕsinϑy=rsinϕsinϑz=rcosϑ
<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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>r</mi><mo>,</mo><mi>&#x03D1;</mi><mo>,</mo><mi>&#x03D5;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>,</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>x</mi><mo>=</mo><mi>r</mi><mi>cos</mi><mo>&#x2061;</mo><mi>&#x03D5;</mi><mi>sin</mi><mo>&#x2061;</mo><mi>&#x03D1;</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>y</mi><mo>=</mo><mi>r</mi><mi>sin</mi><mo>&#x2061;</mo><mi>&#x03D5;</mi><mi>sin</mi><mo>&#x2061;</mo><mi>&#x03D1;</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>z</mi><mo>=</mo><mi>r</mi><mi>cos</mi><mo>&#x2061;</mo><mi>&#x03D1;</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Normalschwingungen page

Identifiers

  • r
  • ϑ
  • ϕ
  • q1
  • q2
  • q3
  • x
  • r
  • ϕ
  • ϑ
  • y
  • r
  • ϕ
  • ϑ
  • z
  • r
  • ϑ

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