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Display information for equation id:math.1969.21 on revision:1969

* Page found: Der Satz von Liouville (eq math.1969.21)

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Der Satz von Liouville Eq: math.1970.21

Hash: 8f268bce5bfc716cb25e2a2822671a58

TeX (original user input):

d{{x}^{1}}...d{{x}^{2f}}=Det(D\Phi )d{{x}_{0}}^{1}....d{{x}_{0}}^{2f}=d{{x}_{0}}^{1}....d{{x}_{0}}^{2f}

TeX (checked):

d{{x}^{1}}...d{{x}^{2f}}=Det(D\Phi )d{{x}_{0}}^{1}....d{{x}_{0}}^{2f}=d{{x}_{0}}^{1}....d{{x}_{0}}^{2f}

LaTeXML (experimental; uses MathML) rendering

MathML (13.283 KB / 1.769 KB) :

{\displaystyle{\displaystyle d{{x}^{1}}...d{{x}^{2f}}=Det(D\Phi)d{{x}_{0}}^{1}% ....d{{x}_{0}}^{2f}=d{{x}_{0}}^{1}....d{{x}_{0}}^{2f}}}

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              <ci id="p1.1.m1.1.40.cmml" xref="p1.1.m1.1.40">𝑥</ci>
              <cn type="integer" id="p1.1.m1.1.41.1.cmml" xref="p1.1.m1.1.41.1">0</cn>
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              <times id="p1.1.m1.1.42.1.3.cmml" xref="p1.1.m1.1.42.1.3"/>
              <cn type="integer" id="p1.1.m1.1.42.1.1.cmml" xref="p1.1.m1.1.42.1.1">2</cn>
              <ci id="p1.1.m1.1.42.1.2.cmml" xref="p1.1.m1.1.42.1.2">𝑓</ci>
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        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle d{{x}^{1}}...d{{x}^{2f}}=Det(D\Phi)d{{x}_{0}}^{1}%
....d{{x}_{0}}^{2f}=d{{x}_{0}}^{1}....d{{x}_{0}}^{2f}}}</annotation>
  </semantics>
</math>

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d x^{1} . . . d x^{2 f} = D e t (D Φ) d {x_{0}}^{1} . . . . d {x_{0}}^{2 f} = d {x_{0}}^{1} . . . . d {x_{0}}^{2 f}

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo>.</mo><mo>.</mo><mo>.</mo><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>f</mi></mrow></mrow></msup><mo>=</mo><mi>D</mi><mi>e</mi><mi>t</mi><mo stretchy="false">(</mo><mi>D</mi><mi mathvariant="normal">&#x03A6;</mi><mo stretchy="false">)</mo><mi>d</mi><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mi>d</mi><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>f</mi></mrow></mrow></msup><mo>=</mo><mi>d</mi><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mi>d</mi><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>f</mi></mrow></mrow></msup></mstyle></mrow></math>

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Identifiers

$d$

$x$

$d$

$x$

$f$

$D$

$e$

$t$

$D$

$Φ$

$d$

$x_{0}$

$d$

$x_{0}$

$f$

$d$

$x_{0}$

$d$

$x_{0}$

$f$

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