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First, we present an example of generalized pseudodistances in metric spaces and b-metric spaces, respectively.
It is easy to acquire the following example of generalized ( ψ, f ) λ -expansive mappings or generalized ( ϕ, g, h ) λ -weakly expansive mappings.
Ranging in mobile WiMAX is an example of generalized allocation where the subcarriers reserved to the ranging process can take up any position in the available spectrum.
Analysis of reported toxicities from the SORCE trial supports the rarity of sorafenib hepatotoxicity in the adjuvant setting, with this case representing an idiosyncratic reaction as opposed to a marked example of generalized hepatotoxicity (Meade A., personal communication).
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Several concrete examples of generalized uncertainty relations are given.
Examples of generalized FGs created by this procedure are shown in the following section.
Simple examples of generalized altering distance functions with, say, four variables are: Recall also the following notions.
The current status, specific cases, and examples of generalized solutions are presented under conditions where practicality is openly favored over rigid taxonomic codes or blind phylogenetic approach.
Prominent examples of generalized linear systems include the multiplicative homomorphic filter (MHF), the parametric LR model, the LIP model, and the SLIP model.
The generalized resolvent of the maximal monotone operator where is a smooth and uniformly convex Banach space, and the sunny generalized nonexpansive retraction from a strictly convex, smooth, and reflexive Banach space onto its closed subset are examples of generalized nonexpansive mappings satisfying property (G3) (see [15]).
These operators, which provide new examples of generalized point interactions in the sense of Šeba, are defined by the boundary conditions ƒ(0+) = e−zƒ(0−), rƒ(0+) + ƒ′(0+) = ez[rƒ(0−) + ƒ′(0−)], for z ∈ C, r ∈ R. We calculate their spectra, resolvents, and scattering matrices, and show that they can be realized as limits of Schrödinger operators with local short-range potentials.
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