Darboux transformation and quasideterminant solutions of a noncommutative semi-discrete coupled dispersionless integrable system. [PDF]
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Orbital-effect-induced finite-momentum pairing and Josephson vortex lattice melting in layered Ising superconductors. [PDF]
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Empirical Nonnegative Finite-Resolution MAR-PID for Continuous Variables. [PDF]
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Tunable Skyrmion, Meron, and Skyrmion Bag Textures in Surface Phonon Polariton Lattices. [PDF]
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Unraveling Hierarchical B-Site Ordering: Mechanism of Microwave Dielectric Enhancement in Complex Perovskite Oxide Ceramics. [PDF]
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On Fragments on Lattice Normed Vector Lattices
Results in Mathematics, 2023Considering a lattice normed vector space \((V,\|\cdot\|, E)\) with \(E\) a vector lattice, the codomain of \(\|\cdot\|\), the authors call \(z\in V\) a \((bo)\)-fragment of \(x\in V\) provided that \(\|z\|+\|x - z\|=0\). The elementary properties of \((bo)\)-fragments are demonstrated and specified for \(C[0,1]\).
Erkurşun-Özcan, Nazife +2 more
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Sampling short lattice vectors and the closest lattice vector problem
Proceedings 17th IEEE Annual Conference on Computational Complexity, 2003We present a 2/sup O(n)/ time Turing reduction from the closest lattice vector problem to the shortest lattice vector problem. Our reduction assumes access to a subroutine that solves SVP exactly and a subroutine to sample short vectors from a lattice, and computes a (1+/spl epsi/)-approximation to CVP As a consequence, using the SVP algorithm from ...
Miklós Ajtai +2 more
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The set of fuzzy points of a fuzzy vector lattice is not a vector lattice
Fuzzy Sets and Systems, 2006Abstract Samuel introduced the notions of fuzzy vector lattices and fuzzy points of fuzzy vector lattices. He considered unique extensions of fuzzy Daniell integrals (i.e. positive linear σ -order continuous maps) defined on sets of fuzzy points to spaces that behave like L 1 -spaces.
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