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Display information for equation id:math.1661.81 on revision:1661
* Page found: Der harmonische Oszillator (eq math.1661.81)
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Hash: 7c83afa2983b312b490ebc5c666ff0eb
TeX (original user input):
\begin{align}
& 0=\left( \hat{\xi }+\frac{d}{d\xi } \right){{\phi }_{0}}(\xi ) \\
& \Rightarrow \frac{d{{\phi }_{0}}}{{{\phi }_{0}}}=-\xi d\xi \\
\end{align}
TeX (checked):
{\begin{aligned}&0=\left({\hat {\xi }}+{\frac {d}{d\xi }}\right){{\phi }_{0}}(\xi )\\&\Rightarrow {\frac {d{{\phi }_{0}}}{{\phi }_{0}}}=-\xi d\xi \\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (experimentell; keine Bilder) rendering
MathML (1.474 KB / 408 B) :
<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><mn>0</mn><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ξ</mi><mo>^</mo></mover></mrow></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>ξ</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">(</mo><mi>ξ</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo>=</mo><mo>−</mo><mi>ξ</mi><mi>d</mi><mi>ξ</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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