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We study Ginzburg Landau equations for a complex vector order parameter Ψ="∈C2.
The LSF vector order is denoted as (i.e., th order linear prediction).
Let C be a nonempty subset of (L_{p}) which is equipped with a vector order relation ⪯.
We consider a Ginzburg Landau functional for a complex vector order parameter Ψ=", whose minimizers exhibit vortices with half-integer degree.
This filter uses the trimmed aggregated distance minimization concept and robust vector order statistics to enhance edges and image details while retaining the noise removal characteristics of the standard VM operator.
Characteristic temperatures describing the energy landscape of the OspA backbone are derived from the temperature dependence of the N H bond vector order parameters, and a comparison is made between the N and C-terminal globular domains and the unusual single-layer β-sheet connecting them.
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Now we shall prove the uniqueness of the strict vector ordering on Y. Assume that ≺ and < are two vector orderings on Y.
In this case, we call the (PVEP) as parametric vector order-perturbed equilibrium problem, in short (PVOPEP).
Y can be equipped with a strict vector ordering.
Suppose a relation ≺ is a strict vector ordering on Y.
(ii) Y can be equipped with a strict vector ordering. .
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