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Display information for equation id:math.3064.10 on revision:3064

* Page found: Nakajima-Zwanzig-Gleichung (eq math.3064.10)

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Hash: 84da446693d1c9bf864e2fc0e9980586

TeX (original user input): 

{\text{d}}_{t}{\chi }_{rel}=\mathcal{P}L{{\chi }_{rel}}+\int\limits_{0}^{t}{dt'\mathcal{K}({t}'){{\chi }_{rel}}(t-{t}')|}

TeX (checked): 

{\text{d}}_{t}{\chi }_{rel}={\mathcal {P}}L{{\chi }_{rel}}+\int \limits _{0}^{t}{dt'{\mathcal {K}}({t}'){{\chi }_{rel}}(t-{t}')|}

LaTeXML (experimental; uses MathML) rendering

MathML (9.689 KB / 1.606 KB) :

d t χ r ⁢ e ⁢ l = 𝒫 L χ r ⁢ e ⁢ l + ∫ 0 t d t ′ 𝒦 ( t ′ ) χ r ⁢ e ⁢ l ( t - t ′ ) | fragments subscript d 𝑡 subscript 𝜒 𝑟 𝑒 𝑙 P L subscript 𝜒 𝑟 𝑒 𝑙 superscript subscript 0 𝑡 d superscript 𝑡 ′ K fragments ( superscript 𝑡 ′ ) subscript 𝜒 𝑟 𝑒 𝑙 fragments ( t superscript 𝑡 ′ ) | {\displaystyle{\displaystyle{\text{d}}_{t}{\chi}_{rel}=\mathcal{P}L{{\chi}_{% rel}}+\int\limits_{0}^{t}{dt^{\prime}\mathcal{K}({t}^{\prime}){{\chi}_{rel}}(t% -{t}^{\prime})|}}} 
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MathML (3.121 KB / 625 B) :

d t χ r e l = P L χ r e l + ∫ 0 t d t ′ K ( t ′ ) χ r e l ( t − t ′ ) | {\displaystyle {\text{d}}_{t}{\chi }_{rel}={\mathcal {P}}L{{\chi }_{rel}}+\int \limits _{0}^{t}{dt'{\mathcal {K}}({t}'){{\chi }_{rel}}(t-{t}')|}} 
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SVG (11.217 KB / 4.366 KB) :

{\displaystyle {\text{d}}_{t}{\chi }_{rel}={\mathcal {P}}L{{\chi }_{rel}}+\int \limits _{0}^{t}{dt'{\mathcal {K}}({t}'){{\chi }_{rel}}(t-{t}')|}}

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