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In this paper, utilizing the framework of the theory of singular difference equations, we give some necessary and sufficient conditions for the ϕ 0 -stability of a trivial solution of singular difference equations via cone-valued Lyapunov functions.
In mathematical economics, the modeling of users' utilities is an initial step toward characterizing the preferences of the users and in turn utilizing the framework of mechanism design and implementation theory.
Moreover, vibrational broadening was simulated in solution by utilizing the framework of the Newton-X software.
Although the original ELM algorithm is employed by the proposed VOP-ELM and OP-ELM, the cost training times jump to dozens of seconds due to utilizing the framework of searching the optimal hidden neurons and multiple ensembles.
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Initially, the analysis is based on the circular restricted three-body problem to utilize the framework of the invariant manifolds.
In [9], Vaidyanathan and Liu further exploits the relationship between the multichannel sampling theorem and multirate filterbanks, and utilizes the framework of the filterbanks as a convenient tool for the derivation of the sampling theorems.
Some utilized the framework of probabilistic inference to predict the functional TF-gene binding pairs by TF binding site motifs, evolutionary conservation, regulatory potential, nucleosome data and DNase hypersensitive sites [ 14].
Two grasp planning approaches utilizing the framework are proposed.
Moreover, we have also highlighted some future research directions/challenges that can be dealt via utilizing the proposed framework of MAI statistics analysis.
Our main objective is to jointly show convergence and consensus by utilizing the conceptual framework of dynamical systems as well as to study how the consensus belief depends on the initial conditions in this context.
Future research would benefit from utilizing the theoretical framework of the concept capability beliefs proposed by Bandura to develop and evaluate interventions in clinical practice in order to enhance RNs' practice of EBP.
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