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Display information for equation id:math.1108.133 on revision:1108

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Hash: 8638b84846bb11d77ec1e53d8d3a71d5

TeX (original user input):

{{m}_{A}}d_{t}^{2}x_{A}^{i}={{M}_{A}}{{g}^{i}}+{{F}^{i}}\to {{m}_{A}}d_{t}^{2}x'_{A}^{i}=\left( {{M}_{A}}-{{m}_{A}} \right){{g}^{i}}+F{{'}^{i}}={{F}^{i}}

TeX (checked):

{{m}_{A}}d_{t}^{2}x_{A}^{i}={{M}_{A}}{{g}^{i}}+{{F}^{i}}\to {{m}_{A}}d_{t}^{2}x'_{A}^{i}=\left({{M}_{A}}-{{m}_{A}}\right){{g}^{i}}+F{{'}^{i}}={{F}^{i}}

LaTeXML (experimental; uses MathML) rendering

MathML (11.558 KB / 1.698 KB) :

m A d t 2 x A i = M A g i + F i m A d t 2 x A = i ( M A - m A ) g i + F = i F i fragments subscript 𝑚 𝐴 superscript subscript 𝑑 𝑡 2 superscript subscript 𝑥 𝐴 𝑖 subscript 𝑀 𝐴 superscript 𝑔 𝑖 superscript 𝐹 𝑖 subscript 𝑚 𝐴 superscript subscript 𝑑 𝑡 2 subscript superscript 𝑥 𝐴 superscript 𝑖 fragments ( subscript 𝑀 𝐴 subscript 𝑚 𝐴 ) superscript 𝑔 𝑖 F superscript superscript 𝑖 superscript 𝐹 𝑖 {\displaystyle{\displaystyle{{m}_{A}}d_{t}^{2}x_{A}^{i}={{M}_{A}}{{g}^{i}}+{{F% }^{i}}\to{{m}_{A}}d_{t}^{2}x^{\prime}_{A}{}^{i}=\left({{M}_{A}}-{{m}_{A}}% \right){{g}^{i}}+F{{{}^{\prime}}^{i}}={{F}^{i}}}}
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MathML (1.555 KB / 328 B) :

mAdt2xAi=MAgi+FimAdt2x'Ai=(MAmA)gi+F'i=Fi
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mstyle><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><msubsup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo>=</mo><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub><msup><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo>+</mo><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo accent="false">&#x2192;</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mi>x</mi><msubsup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msubsup><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub><mo>&#x2212;</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo>+</mo><mi>F</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo>=</mo><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mrow></math>

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Identifiers

  • mA
  • d
  • t
  • x
  • A
  • i
  • MA
  • g
  • i
  • F
  • i
  • mA
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  • t
  • x
  • A
  • i
  • MA
  • mA
  • g
  • i
  • F
  • i
  • F
  • i

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