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When Y is (mathsf {false}) and (X = emptyset ), (G not models varphi ) if there exists a match of Q; i.e., (varphi ) states that Q is an "illegal" pattern that should not find any matches.
Indeed, (mathsf {DFS}) takes O |G|) time, not to mention graph pattern matching via subgraph isomorphism, for which it is (mathsf {NP} -complete to decide whether Q(G) is empty, i.e., whether there exists a match of pattern Q in G (cf. [102]).
A set (varSigma ) of (mathsf {GFDs}) is satisfiable if (varSigma ) has a model; that is, there exists a graph G such that (a) (G models varSigma ), and (b) for each (mathsf {GFD}) (Q[bar{x}](X rightarrow Y)) in (varSigma ), there exists a match of Q in G. Intuitively, it is to check whether the (mathsf {GFDs}) are "dirty" themselves when used as data quality rules.
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Then, there exists a match (h(bar{x})) of the pattern (Q_1) of (varphi _1) in the graph depicting DBPedia, such that h(x) and h y) have the same (mathsf {id}), i.e., (h(bar{x}) models X_1); however, (h(bar{x}) not models h(Y_1)), a violation of (varphi _1).
First, we check whether there exists a match in the neighbourhood (mutations caused by few single nucleotide polymorphisms) of the current position of the reference block.
Alspach first posed the problem that if there exists a matching M of m edges with exactly one edge from each 2-factor.
There exists a perfect matching of the edges, such that each pair of edges represent a k -mer and its reverse complement.
In addition to the matched filter represented by the tuned frequency sensitivity of the AN1-neuron there exists a second matched filter in the form of the peripheral directionality of the cricket ear.
The original de Bruijn graph of order k satisfies (1) and (2), and there exists a perfect matching for all non-palindromic k-mers in it.
Furthermore, there exists a value of that will match the average power consumed by every configuration on the convex hull of the utility/energy curve formed by the set of all possible applications and configurations weighted by the probability of the corresponding workloads.
It is shown that while low level spectra match the expected form in the inertial subrange there also exists a range of frequencies within the energy containing range where the horizontal spectra can be matched by a power law.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com