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Finally, we have presented numerical evidence that spatial non-adiabatic processes work also in a one-dimensional toy model by introducing a mapping between the discrete three-level approximation and a continuum model.
We proceed to extract multidimensional communities by introducing a mapping which transforms (mathcal {G}_{textit {cs}}) into a monodimensional weighted network W. Precisely, we assign as weight of an undirected link in W the total number of interactions (SMSs and calls) between the connected users.
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This is corrected by introducing a mapping-rate parameter f, defined as the fraction of reads that are mapped unambiguously to the reference.
Buhan et al. [53] extend the ideas of the shielding functions approach by introducing a feature mapping based on hexagonal zones instead of square zones.
The equation of the loading sub-surface for the matrix plastic flow is derived by the means of introducing a mapping damage-free solid of matrix material, whose constitutive relation is supposed to have been determined via Hopkinson bar experiments.
The consequent part of the proposed FIS is expressed as a nonlinear combination of the input variables, which can be obtained by introducing an implicit mapping from the input space to a high dimensional feature space.
In this paper, we combine these two notions by introducing a G-β-ψ contractive mapping which is a characterization α-ψ contractive mappings in the context of G-metric spaces.
We start by introducing a property for a mapping, where is a metric space.
Motivated by the applicability of the technique on smartphones, we explore this design space by introducing a way to map the available degrees of freedom and discuss the design decisions that were made.
On the genetic side, we can expect further improvements by a new generation of mapping partners: using the efficient one-step allelic substitution process (Wang et al. 2013), a geneticist can engineer an isogenic mapping partner of an inbred strain by introducing a planned set of SNV mapping sites genome-wide, designed to be functionally neutral.
In 2008, Al-Thagafi and Shahzad [6] weakened the notion of nontrivial weakly compatible maps by introducing a new notion of occasionally weakly compatible (in short, owc) maps.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com