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To generate plasmodes under the null hypothesis of no treatment effect on weight for each of the 12 datasets, we randomly permuted the treatment assignment indicators.
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where νm,n denotes the femtocell channel assignment indicator.
where Θ={θ k,i }2×N and Φ={ϕ g,i }2×N are the subscarrier assignment indicator vectors of source phase and relay phase, respectively.
Let τ i and ρ i (n be the relay selection indicator variable and subcarrier assignment indicator variable on n th subcarrier, respectively, where τ i = 1, when R i is selected to patriciate in transmission 0, otherwise (3).
where is the total power budget for all CRUs, is the maximum interference power that can be tolerated by the PU, and is a subcarrier assignment indicator, that is, if and only if subcarrier is allocated to CRU.
The total rate of flow g in the relay phase is then given by R_{g}^{textmd{tiny{ II)}}}= sumlimits_{i = 1}^{N} {phi_{g,i}r_{g,i}^{textmd{tiny{ II)}}}}, where ϕ g,i ∈{0,1} is the subcarrier assignment indicator variable of the ith subcarrier in the relay phase.
The first is a cluster assignment indicator c = (c i ) whose entry c i equals a when node i belongs to cluster a.
For example, the connectivity index (Eq. 1) can be approximated by (7) k i = ∑ j ≠ i A ij ≈ p i ∑ j ≠ i r c i c j p j. Second, since our optimization algorithms also strive to choose the best cluster assignment indicator c, they naturally give rise to clustering algorithms.
The goal of cluster and propensity based approximation (CPBA) is to construct an approximation to A by optimally choosing the cluster assignment indicator c, the cluster similarity matrix R, and the propensity vector p. CPBA assumes that the adjacency matrix A i j can be approximated as (4) A ij ≈ r c i c j p i p j.
When a participant had not ranked every indicator in an assignment, only indicators that were ranked received points equally to the position on which it was ranked.
All the identified risk factors (except family history and smoking history) were then assigned indicator and time attributes by the components in the attribute assignment module.
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