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We concisely define a cluster by its mathematical description provided in Section 2.2.
When investigating the clustering result, the user is usually interested in the most specific features that define a cluster.
Using these cliques as hypernodes, we can define a cluster graph[24] by connecting each pair of the cliques with minimum one common node (i.e., non-empty intersection).
This game uses a hierarchical cluster model to define a set of 20 questions that will be used to motivate the user and to define a cluster of concepts.
We define a cluster state for a class of ODEs to be a partition P i of { 1, …, N } such that the linear subspace I i : = { ( x 1, …, x N ) : x j = x k ⇔ { j, k } are in the same part of P i }. is dynamically invariant for all ODEs in that class.
Likewise, Frontal cortex and Cerebellum, define a cluster of brain tissues.
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Let the undirected graph G = ( V, E ) define a cluster-tree topology.
These sets define a clustering on the original graph since there is no overlapping between them.
Gene inactivation analysis defined a cluster of 13 open reading frames sufficient for sulfazecin production, precursor synthesis, self-resistance, and regulation.
The root node defines a cluster containing the entire token set.
We defined a cluster as a group of all atoms lying within a cutoff distance from at least one other atom belonging to the same cluster.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com