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Display information for equation id:math.1108.17 on revision:1108

* Page found: ART-Skript (eq math.1108.17)

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TeX (original user input):

\begin{align}
  & m\frac{{{d}^{2}}{{x}^{1}}}{d{{t}^{2}}}\Rightarrow m\left( \frac{{{d}^{2}}x{{'}^{1}}}{d{{t}^{2}}}-\frac{\partial \phi }{\partial x{{'}^{1}}}+... \right) \\ 
 & m\frac{{{d}^{2}}{{x}^{2}}}{d{{t}^{2}}}\Rightarrow m\left( \frac{{{d}^{2}}x{{'}^{2}}}{d{{t}^{2}}}-\frac{\partial \phi }{\partial x{{'}^{2}}}+... \right) \\ 
\end{align}

TeX (checked):

{\begin{aligned}&m{\frac {{{d}^{2}}{{x}^{1}}}{d{{t}^{2}}}}\Rightarrow m\left({\frac {{{d}^{2}}x{{'}^{1}}}{d{{t}^{2}}}}-{\frac {\partial \phi }{\partial x{{'}^{1}}}}+...\right)\\&m{\frac {{{d}^{2}}{{x}^{2}}}{d{{t}^{2}}}}\Rightarrow m\left({\frac {{{d}^{2}}x{{'}^{2}}}{d{{t}^{2}}}}-{\frac {\partial \phi }{\partial x{{'}^{2}}}}+...\right)\\\end{aligned}}

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MathML (3.184 KB / 406 B) :

md2x1dt2m(d2x'1dt2ϕx'1+...)md2x2dt2m(d2x'2dt2ϕx'2+...)
<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><mi>m</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>&#x21D2;</mo><mi>m</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>&#x03D5;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>+</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>m</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>&#x21D2;</mo><mi>m</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>&#x03D5;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>+</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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