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The SAGE algorithm replaces the multidimensional maximization in (10) by several lower dimensional maximizations over mutually exclusive subsets of ν.
To achieve this design, we divided the available pool of questions into three mutually exclusive subsets of variables.
Next, we split S into two mutually exclusive subsets, S=left{{S}_1,{S}_2right} where S1 consists of all sℓ, e that have their scheduling variables with values strictly less than one and S2 otherwise.
Network model: In this paper, the adopted network model is represented as an undirected graph G=(N,E) where the set of nodes N is divided into two exhaustive and mutually exclusive subsets, EN, the set of end nodes and IN, the set of intermediate (or middle) nodes.
Euclidean distance was used for measuring similarity between pairs of sub-watersheds, and Ward method was chosen as a clustering technique, which is based on mutually exclusive subsets of the data set and is most appropriate for quantitative variables (Ward 1963).
In this study, the clusters (C i ) generated by the multilevel thresholding method create the frame of discernment Ω composed of n single mutually exclusive subsets H n, which are symbolized by Ω = H 1, H 2,...., H n ; 1 ≤ i ≤ n (1).
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IG, gain-ratio, chi-square and ReliefF filter methods are used to rank the feature set of the original dataset to create a mutually exclusive subset before selecting one-third split of the ranked features (i.e. 14 features).
Each complex targets a mutually exclusive subset of Brahma-dependent genes (Mohrmann et al, 2004; Moshkin et al, 2007).
First, concerning the monophyletic group rooted at the node, all mutually exclusive monophyletic subsets of the group rooted in neighboring distal nodes together include all haplotypes of the group.
Step by step, the CHAID algorithm recursively partitions data into mutually exclusive, exhaustive subsets that are maximally different in the dependent variable (e.g., early death), as assessed with the use of Bonferroni-adjusted χ statistics.
The immunophenotypic profile of CX3CR1+ GC B cells indicated that these cells expressed CD23 and CD27 (Fig. 4A), that are detected in mutually exclusive B cell subsets [25], [26].
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