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Display information for equation id:math.1142.11 on revision:1142

* Page found: Trägheitstensor (eq math.1142.11)

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Occurrences on the following pages:

Hash: 3e56b0de94f00c2f2707fa14a9e07b6b

TeX (original user input):

\underline{J}_{lm}=\sum\limits_{i=1}^{N}{{{m}_{i}}\left( {{\delta }_{lm}}{{r}_{i}}^{2}-{{\left( {{r}_{i}} \right)}_{l}}{{\left( {{r}_{i}} \right)}_{m}} \right)}

TeX (checked):

{\underline {J}}_{lm}=\sum \limits _{i=1}^{N}{{{m}_{i}}\left({{\delta }_{lm}}{{r}_{i}}^{2}-{{\left({{r}_{i}}\right)}_{l}}{{\left({{r}_{i}}\right)}_{m}}\right)}

LaTeXML (experimental; uses MathML) rendering

MathML (0 B / 8 B) :

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MathML (experimental; no images) rendering

MathML (1.515 KB / 356 B) :

J_lm=i=1Nmi(δlmri2(ri)l(ri)m)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><munder><mi>J</mi><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>m</mi></mrow></mrow></msub><mo>=</mo><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>&#x03B4;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>m</mi></mrow></mrow></msub><msup><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Trägheitstensor page

Identifiers

  • J_lm
  • i
  • N
  • mi
  • δlm
  • ri
  • ril
  • rim

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