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Display information for equation id:math.1107.17 on revision:1107

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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}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (3.183 KB / 402 B) :

\begin{matrix} m \frac{d^{2} x^{1}}{d t^{2}} \Rightarrow m (\frac{d^{2} x'^{1}}{d t^{2}} - \frac{\partial ϕ}{\partial x'^{1}} + ...) \\ m \frac{d^{2} x^{2}}{d t^{2}} \Rightarrow m (\frac{d^{2} x'^{2}}{d t^{2}} - \frac{\partial ϕ}{\partial x'^{2}} + ...) \end{matrix}

<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"><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 stretchy="false">⇒</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 stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ϕ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi>...</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><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 stretchy="false">⇒</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 stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ϕ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi>...</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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$d$

$x$

$d$

$t$

$m$

$d$

$x$

$d$

$t$

$ϕ$

$x$

$m$

$d$

$x$

$d$

$t$

$m$

$d$

$x$

$d$

$t$

$ϕ$

$x$

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LaTeXML (experimentell; verwendet MathML) rendering

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Translation to Maple

Translation to Mathematica

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