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Exact(35)
With a slight abuse of notation, we write.
Therefore, with a slight abuse of notation, we will rewrite (11) as (12).
With a slight abuse of notation we denote the new time derivative also by a prime.
With a slight abuse of notation, denote p j = p ij,j = 1,…,L.
In order to achieve rate (21), we consider the specific distributions (dropping the dependence on the time index with a slight abuse of notation) and, with independent of.
and (by a slight abuse of notation) a = p T p, b = p T q, c = q T q − 1, (33).
Similar(24)
When A is point-fibred, by slight abuse of notation, we treat the coordinate map π F as a mapping π F : Ω → A. In this case π F = lim k → ∞ f σ | k ( x 0 ) (6.2)for x 0 ∈ B, where B is the basin of A. The following statement is an immediate consequence of [65, Section 3.1] and the definition of point-fibred.
Note that the sequence of reactions ℜ uniquely determines X T s t 0. For convenience, we have committed a slight of abuse of notation when using real valued indices to denote the state X t k and reaction R t k taking place at time t k.
By further slight abuse of notation we also treat F as a map F : 2 X → 2 X, where 2 X denotes the collection of all subsets of X.
Here one employs the slight abuse of notation that.
With slight abuse of notation, we assume that is the ordered partition, where.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com