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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.
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.
(9) Introducing a mapping (mathcal{F}:mathcal{D}_{T}rightarrow C(Delta _{T}^{infty} times C(Delta_{T} times C^{1}([0,T])) by (mathcal{F} w, z, h)= tilde{w}, tilde{z}, tilde{h})), we can show that (mathcal{F}) has a fixed point, which is just a solution to the system (3).
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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The idea consists in introducing a map state, which only contains relative quantities among the features invariant under shift and rotation.
Mr. Johnson, introducing a map of men's wear tailors, said, "If you are an aspiring member of the bourgeoisie in Dubai or Shanghai and want to show to peers you have arrived — come to London kit yourself out.
As a team we refreshed our values and introduced a "mapping" exercise to help us identify problem areas.
Here we introduce a mapping method to identify possible combinations by comparing the dimensionless parameters of the chosen materials with the provided maps and without any transport calculations.
This paper introduces a mapping approach to identify hot- and hard-spots for sustainability transition in cities by analyzing different stakeholder- and policy-driven land-use scenarios in Rotterdam City, the Netherlands.
Before rendering our analyses, let us first introduce a mapping.
In 2008, Suzuki [2] introduced a mapping satisfying condition (C).
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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