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Discovery of spontaneous mesoscopic strain waves in nematic domains using dark-field x-ray microscopy. [PDF]

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Yay KA   +7 more
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THz-induced phonon mode mixing and collective dynamics in a polar nanolattice

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Skoropata E   +15 more
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On Fragments on Lattice Normed Vector Lattices

Results in Mathematics, 2023
Considering 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, 2003
We 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, 2006
Abstract 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.
Coenraad C. A. Labuschagne   +1 more
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