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Display information for equation id:math.3060.6 on revision:3060

* Page found: Nakajima-Zwanzig-Gleichung (eq math.3060.6)

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Hash: 0ed73af57f31c02940999c3166d6d9fc

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}')|}

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d t 𝒫 χ = 𝒫 L 𝒫 χ + 𝒫 L e 𝒬 L t Q χ ( t = 0 ) = 0 + 𝒫 L 0 t d t e 𝒬 L t 𝒬 L 𝒫 χ ( t - t ) | fragments subscript d 𝑡 P χ P L P χ subscript fragments P L superscript 𝑒 𝒬 𝐿 𝑡 Q χ fragments ( t 0 ) absent 0 P L superscript subscript 0 𝑡 d t superscript 𝑒 𝒬 𝐿 superscript 𝑡 Q L P χ fragments ( t superscript 𝑡 ) | {\displaystyle{\displaystyle{{\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^{\prime}}}\mathcal{Q}L% \mathcal{P}\chi(t-{t}^{\prime})|}}}

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dt𝒫χ=𝒫L𝒫χ+𝒫Le𝒬LtQχ(t=0)=0+𝒫L0tdte𝒬Lt𝒬L𝒫χ(tt)|

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