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Display information for equation id:math.3064.6 on revision:3064
* Page found: Nakajima-Zwanzig-Gleichung (eq math.3064.6)
(force rerendering)Occurrences on the following pages:
Hash: 0bdcb875565840930ec19e7726bc1004
TeX (original user input):
{\text{d}}_{t} \mathcal{P}\chi =\mathcal{P}L\mathcal{P}\chi +\underbrace{\mathcal{P}L{{e}^{\mathcal{Q}Lt}}Q\chi (t=0)}_{=0}+\mathcal{P}L\int\limits_{0}^{t}{dt{{e}^{\mathcal{Q}Lt'}}\mathcal{Q}L\mathcal{P}\chi (t-{t}')|}
TeX (checked):
{\text{d}}_{t}{\mathcal {P}}\chi ={\mathcal {P}}L{\mathcal {P}}\chi +\underbrace {{\mathcal {P}}L{{e}^{{\mathcal {Q}}Lt}}Q\chi (t=0)} _{=0}+{\mathcal {P}}L\int \limits _{0}^{t}{dt{{e}^{{\mathcal {Q}}Lt'}}{\mathcal {Q}}L{\mathcal {P}}\chi (t-{t}')|}
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MathML (2.666 KB / 441 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mtext>d</mtext></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic" mathvariant="script">𝒫</mi></mrow></mrow><mi>χ</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic" mathvariant="script">𝒫</mi></mrow></mrow><mi>L</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic" mathvariant="script">𝒫</mi></mrow></mrow><mi>χ</mi><mo>+</mo><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic" mathvariant="script">𝒫</mi></mrow></mrow><mi>L</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic" mathvariant="script">𝒬</mi></mrow></mrow><mi>L</mi><mi>t</mi></mrow></mrow></msup><mi>Q</mi><mi>χ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>=</mo><mn>0</mn><mo stretchy="false">)</mo></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>=</mo><mn>0</mn></mrow></mrow></munder><mo>+</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic" mathvariant="script">𝒫</mi></mrow></mrow><mi>L</mi><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic" mathvariant="script">𝒬</mi></mrow></mrow><mi>L</mi><msup><mi>t</mi><mo>′</mo></msup></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic" mathvariant="script">𝒬</mi></mrow></mrow><mi>L</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic" mathvariant="script">𝒫</mi></mrow></mrow><mi>χ</mi><mo stretchy="false">(</mo><mi>t</mi><mo>−</mo><msup><msup><mi>t</mi><mo>′</mo></msup><mo>′</mo></msup><mo stretchy="false">)</mo><mo>|</mo></mrow></mstyle></mrow></math>
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