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Formula (6) can be generalized for the case when a generating function is the solution of a certain functional equation.
The behavior of a certain functional serving for optimization of the eigenstrains with stochastically perturbed and correlated values in a laminated cylindrical structure is examined.
The connections (weights) of the proposed p-RBF NNs being of a certain functional character and are realized by considering four types of polynomials.
Kalies and van der Vorst [4] considered the steady-state problem; by analyzing the variational structure, they proved the existence of heteroclinic connections, which are the critical points of a certain functional.
One approach defines abstract objects as those the understanding of whose names involves a recognition that the named object is in the range of a certain functional expression (Dummett 1973, 485).
The term delivery systems cover a wide range of structuring, encapsulation or formulation technologies for the delivery of a certain functional ingredient in a product to the end user.
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This significantly enhanced formation of HNE in a subpopulation of neurons could be related to some neuronal lineages and/or to a certain functional state of neuron.
In contrast to "standard" radial basis function neural networks, the output neuron of the network exhibits a certain functional nature as its connections are realized as local linear or quadratic functions whose location is determined by the values of the context and the prototypes in the input space.
Considering the polymorphic variability of TLR4, some studies showed a certain functional association of TLR4 SNPs with its activity [ 28– 30].
For example, researchers interested in the mapped position or subcellular localization of a list of genes can extract these attributes and perform further analyses, assessing the enrichment of transcription factor binding sites or a certain functional attributes within clusters of genes.
These data might close an important gap by linking a certain functional phenotype of T cells with antibody and complement deposition in pattern II lesions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com