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Display information for equation id:math.1325.198 on revision:1325
* Page found: Der Hamiltonsche kanonische Formalismus (eq math.1325.198)
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Hash: 46ed3b43dcd3e2d20c768b880d1a6e1f
TeX (original user input):
\det \left( D{{\Phi }_{t,{{t}_{0}}}} \right)=\left| \frac{\partial {{\Phi }^{i}}_{t,{{t}_{0}}}({{{\bar{x}}}_{0}})}{\partial {{x}_{0}}^{k}} \right|=1+O({{(t-{{t}_{0}})}^{2}})\cong 1
TeX (checked):
\det \left(D{{\Phi }_{t,{{t}_{0}}}}\right)=\left|{\frac {\partial {{\Phi }^{i}}_{t,{{t}_{0}}}({{\bar {x}}_{0}})}{\partial {{x}_{0}}^{k}}}\right|=1+O({{(t-{{t}_{0}})}^{2}})\cong 1
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MathML (1.843 KB / 434 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>det</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>D</mi><msub><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mo>,</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><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"><mi>∂</mi><msub><msup><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mo>,</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>=</mo><mn>1</mn><mo>+</mo><mi>O</mi><mo stretchy="false">(</mo><msup><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>t</mi><mo>−</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">)</mo><mo>≅</mo><mn>1</mn></mstyle></mrow></math>
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