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Generalized Reaction Operator - MaRDI portal

Generalized Reaction Operator (Q6775376)

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generalized version of the reaction operator

Language	Label	Description	Also known as
English	Generalized Reaction Operator	generalized version of the reaction operator

Statements

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defining formula

\begin{aligned} \tilde{ℛ} f (𝐧, 𝐦) : \equiv & k_{1} {f (𝒪_{1}^{-} 𝐧, 𝐦) - f (𝐧, 𝐦)} \\ + \frac{k_{2}}{γ} \sum_{j = 1}^{K_{A}} \sum_{i \in ℐ (j)} {(n_{j} + 1) f (𝒪_{j}^{+} 𝐧, 𝒪_{i}^{-} 𝐦) - n_{j} f (𝐧, 𝐦)} \\ + k_{3} \sum_{i = 1}^{K_{B}} {(m_{i} + 1) f (𝐧, 𝒪_{i}^{+} 𝐦) - m_{i} f (𝐧, 𝐦)} . \end{aligned}

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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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p ((n), (m), t)

symbol represents

Joint Probability

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MaRDI profile type

MaRDI quantity profile

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Reaction Operator

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Sitelinks

Mathematics(0 entries)

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