Sentence examples for get the characterization from inspiring English sources

From Theorem 4.1 we can get the characterization of the compactness of the weighted composition operator (W_{psi,varphi}: H^{p}rightarrowmathcal{B}_{mathrm{log}}) and the operator (DW_{psi,varphi}: H^{p}rightarrowmathcal{B}_{mathrm{log}}).

The spectrum sharing process for an SU starts by getting the characterization results and the user requirements and continues until the sending of CfPs and receiving of the proposals.

Combining 'right' and 'left' similarly as in Theorem 3.3, we get the following characterization of half convexity and concavity for quasi-arithmetic means.

Since for every reference spot the assignment was independently confirmed among the four 2D profiles, the data were then pooled to get the overall spot characterization (Table  1, Additional file 1: Table A2-A7).

For the extreme case (p=1/(1+beta)), one gets the following characterization theorem.

The translation operators are engaged in [5] to get the intriguing and beautiful chaotic characterizations of simple connectivity.

We adapt the system of axioms provided by Shapley (1953) to get a characterization of the value Φ. Fujinaka (2004) and Macho-Stadler et al.

We introduce the spectral data and get their characterization.

To get a characterization of distributive lattices using the fixed set of a derivation, we introduce the following concept.

Combining Proposition 4.7 and Proposition 4.9, we can get a characterization of a modular lattice by the fixed set of a derivation.

The simulations are carried out with the synthetic environment model and the analytical propagation models to get a comprehensive characterization of the local impact of a FAP deployment.