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cNote also that, with a slight abuse of notation, in (23) and (24), we indicate by ζ-1 the inverse of ζ z; σ) with respect to ζ, with the implicit assumption that σ is fixed.
where with a slight abuse of notation, we have defined as the MS that uses the conferencing channel in the th cell at round.
With a slight abuse of notation, we write.
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.
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 (8), we further specialize the distributions as and as (dropping the dependence on the time index with a slight abuse of notation) (B.2). where, independent of all and " " denotes convolution.
If, with a slight abuse of notation, we also denote this solution by g, then g = 0.
With a slight abuse of notation, let X g denote one row of this matrix containing data for gene g over time; X gtn denotes expression values for gene g at time t in sample n.
In Table 4, a slight change in notation is adopted for simplicity: The lengthy but descriptive notation of Eq. (9) is replaced with (R_{s} v)~=~(mathcal {C}_{i}, mathcal {C}_{j}, mathcal {C}_{k})) if the cliques (mathcal {C}_{i}), (mathcal {C}_{j}), and (mathcal {C}_{k}) are not fully included at subgraph (mathcal {G}_{s}) of tree node s.
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