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Reaction Operator - MaRDI portal

Reaction Operator (Q6775378)

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reaction operator used in the reaction diffusion master equation

Language	Label	Description	Also known as
English	Reaction Operator	reaction operator used in the reaction diffusion master equation

Statements

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defining formula

\begin{matrix} ℛ f (𝐧, 𝐦) : \equiv & k_{1} {f (𝒪_{1}^{-} 𝐧, 𝐦) - f (𝐧, 𝐦)} \\ + k_{2} \sum_{i = 1}^{K} {(n_{i} + 1) f (𝒪_{i}^{+} 𝐧, 𝒪_{i}^{-} 𝐦) - n_{i} f (𝐧, 𝐦)} \\ + k_{3} \sum_{i = 1}^{K} {(m_{i} + 1) f (𝐧, 𝒪_{i}^{+} 𝐦) - m_{i} f (𝐧, 𝐦)} . \end{matrix}

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in defining formula

𝒪_{i}^{+}

symbol represents

Operators Oi Plus

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𝒪_{i}^{-}

symbol represents

Operators Oi Minus

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MaRDI profile type

MaRDI quantity profile

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Sitelinks

Mathematics(1 entry)

mardi Quantity:6775378

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