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Here is an initial stab at such an adjacency condition.
The orientation relationships between the nanotwins connected by these two types of interfaces were unambiguously determined, and it was found that the respective orientation relationship between the neighboring nanotwins depends strongly on the adjacency condition at the interfaces.
We only included phrase constructs in our search strategy which imposes an adjacency condition on search terms, e.g. 'left ventricular systolic dysfunction' or 'LV dysfunction'.
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Note that the first condition for adjacency in Ĝ represents the assumption of rational players.
Since the plants are now aligned, two leaves are eligible for pair-wise correspondence only if they belong to a given angular range from each other, and we set to ∞ the distance between them in the adjacency matrix when this condition is not satisfied.
In this paper, we use A GN which represents gene coexpression adjacency matrix in normal conditions and A GD which represents gene coexpression adjacency matrix in disease condition.
Two-condition coexpression adjacency networks can always be transformed into a binary one by ignoring any directionality in the links and keeping only those stronger than a threshold weight.
Modules whose correlation structure changes between conditions were defined by hierarchical clustering on a difference matrix, D, where D = |(A − A ')/2|β/2, where A and A ' are the adjacency matrixes under two conditions and β is the soft-thresholding parameter (from WGCNA [ 23]), set to β = 5 in all of our analyses.
This relation between adjacencies satisfying all conditions is an equivalence relation (reflexive, symmetric and transitive).
Because of the methods used (adjacency matrix factorization and threshold condition), we call our model the factorization threshold model.
Given metagenomic data from different clinical conditions or different times, we construct a network with similarity S i and adjacency matrix A i for clinical condition or time i.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com