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Our approach in this work provides an alternative way in dealing with such kind of operators.
The main goal of this paper is to describe all such kind of operators on a two dimensional simplex.
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The works dedicated to such kind of problems for fourth order operator-differential equations are relatively few.
For a detailed account of such kind of results for different types of sequences of linear positive operators and their linear combinations, we refer the readers to a recent book [5].
Therefore, it could be of interest to exhibit and investigate such kind of representations, together with the associated spectral triples whose twist of the Dirac operator and the corresponding derivation arises from the Tomita modular operator.
A new local search operator enhanced multi-objective evolutionary algorithm (LS-MOEA) is specifically proposed for such kind of multi-objective optimization problems.
Such kind of sequences are called weights.
A relation between such kind of r.t.
Therefore, we restrict ourselves to such a kind of operators.
In general, the descriptions of such a kind of operators are still an open problem.
Such kinds of data are still rare.
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