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Dependence clusters are (maximal) groups of source code entities that each depend on the other according to some dependence relation.
The question of finding maximal groups of sequences that pairwise tolerate each other now reduces to the question of finding all maximal cliques, in the respective c-max-tolerance graph.
Formally, a biclique pattern between two chains in a protein complex consists of two maximal groups of residues (one from each chain) such that every residue contacts with all residues in the other group.
Computing the p-value or, more generally, the whole distribution of the occurrence count, exactly is complicated, because motif occurrences may overlap each other or their reverse complements and therefore occur in clumps (maximal groups of overlapping occurrences), making simple moment-based approximations of the distribution inaccurate.
To computationally model a water-free hot spot, we use a biclique pattern that is defined as two maximal groups of residues from two chains in a protein complex holding the property that every residue contacts with all residues in the other group.
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We prove the existence of infinitely many solitary waves for the nonlinear Klein Gordon or Schrödinger equationΔu−u+u3= 0, in R2, which have finite energy and whose maximal group of symmetry reduces to the identity.
(ii) Let a hall be a maximal group of adjacent tri-colored triangles (this is a generalization of the degenerate-corridors of [12]).
To do this, we define the symmetry group of a quantum simulation model, G, as the largest set of symmetries shared by the Hamiltonian and the observable in the model - i.e., the maximal group of space transformations that leave the Hamiltonian and the observable invariant.
A weakly connected component (WCC) is a maximal group of nodes that are mutually reachable ignoring the edge directions [ 44].
These subgroups include the maximal compact groups of biholomorphisms.
As both interventions were conducted in groups of eight or less participants, a sufficient number (twice the maximal group, e.g. 16) of participants had to be recruited before randomization could take place.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com