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Statistical convergence in vector lattices [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The statistical convergence is defined for sequences with the asymptotic density on the natural numbers, in general. In this paper, we introduce the statistical convergence in vector lattices by using the finite additive measures on directed sets ...
A. Aydın, F. Temizsu
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Karpatsʹkì Matematičnì Publìkacìï, 2021 We study measurable elements of a Riesz space $E$, i.e. elements $e \in E \setminus \{0\}$ for which the Boolean algebra $\mathfrak{F}_e$ of fragments of $e$ is measurable. In particular, we prove that the set $E_{\rm meas}$ of all measurable elements of
I. Krasikova, M. Pliev, M. Popov
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Subharmonic envelopes for functions on domains
Вестник Самарского университета: Естественнонаучная серия, 2023 One of the most common problems in various fields of real and complex analysis is the questions of the existence and construction for a given function of an envelope from below or from above of a function from a special class H. We consider a case when H
Bulat N. Khabibullin
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More on the extension of linear operators on Riesz spaces
Karpatsʹkì Matematičnì Publìkacìï, 2022 The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension of a positive additive mapping, defined on the positive cone $E^+$ of a Riesz space $E$ taking values in an Archimedean Riesz space $F$, to the entire space $E$.
O.G. Fotiy, A.I. Gumenchuk, M.M. Popov
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Lattice Attacks on NTRU Revisited
IEEE Access, 2021 NTRU cryptosystem was proposed by J. Hoffstein, J.Pipher and J.H. Silverman in 1996, whose security is related to the hardness of finding sufficient short vectors in NTRU lattice with dimension $2N$ .
Jingguo Bi, Lidong Han
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Automorphism groups of some variants of lattices
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper we consider variants of the power set and the lattice of subspaces and study automorphism groups of these variants. We obtain irreducible generating sets for variants of subsets of a finite set lattice and subspaces of a finite vector space
O.G. Ganyushkin, O.O. Desiateryk
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Science and Technology of Advanced Materials: Methods, 2023 Synchrotron X-ray rocking curve imaging (RCI) is modified to visualize local bending of lattice planes of a single crystal substrate (XR-V-LBLP). This method uses two-azimuth RCI datasets of asymmetric reflection or symmetric reflection.
Osami Sakata, Shinjiro Yagyu
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The Linear Space of Hausdorff Continuous Interval Functions
Biomath, 2013 In this paper we discuss the algebraic structure of the space H(X) of finite Hausdorff continuous interval functions defined on an arbitrary topological space X.
Jan Harm van der Walt
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Domain wall fermion calculation of nucleon g_A/g_V [PDF]
, 2000 We present a preliminary domain-wall fermion lattice-QCD calculation of isovector vector and axial charges, g_V and g_A, of the nucleon. Since the lattice renormalizations, Z_V and Z_A, of the currents are identical with DWF, the lattice ratio (g_A/g_V)^{
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Physical Review Research, 2021 Clean isotropic quantum Hall fluids in the continuum possess a host of symmetry-protected quantized invariants, such as the Hall conductivity, shift, and Hall viscosity.
Naren Manjunath, Maissam Barkeshli
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