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In this article we introduce a new formalism for evaluating analytically the structure of dependencies among neurons in the finite-size firing-rate network with recurrent connections introduced in [9].
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"This structure of dependency makes it impossible for communities to speak out against the plants or nuclear power," said Shuji Shimizu, a professor of public finance at Fukushima University.
We introduce compact model-based representations of q-Horn theories, analyze the structure of functional dependencies in q-Horn theories, and show that every minimal functional dependency in a q-Horn theory Σ can be expressed either by a single term or by a single clause.
We also study the structure of functional dependencies that hold in a Horn theory, showing that every such functional dependency is in fact a single positive term Boolean function, and prove that for any Horn theory the set of its minimal functional dependencies is quasi-acyclic.
The structure of intersectoral dependencies gives rise to a weighted directed graph with self loops (Amaral et al. 2007; Blind and Murphy 1974; Blöchl et al. 2011).
It was only with the work of Gerhard Gentzen in the early 1930s (see Gentzen 1934 , 1935 that researchers in foundations were equipped with formal calculi of deduction that could do real justice to the actual structure of inferential dependencies within mathematical proofs.
The paper shows that the separated structure of parameter dependencies within the Polytopic Tensor-Product (TP) model can be exploited during the controller design by applying controller candidates that depend only on certain parameter sets.
By invoking the hypercycle structure of networked, genetic dependencies we go some way towards explaining the finding that the complete genomes of viruses have histories which are well represented by their replicative core, the central hub of which is polymerase.
PPEs developed by different models can facilitate the evaluation of the structure dependency of the PPE cloud feedback.
They capture a set of relationships that allows prediction of the states of genes based on a (limited) number of other genes they depend upon, and structure learning allows the elucidation of dependencies between genes.
Two relevant issues in vision-based navigation are the field-of-view constraints of conventional cameras and the model and structure dependency of standard approaches.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com