نتایج جستجو برای: vector lattice

تعداد نتایج: 287231  

Journal: :Optics letters 2009
Vassilios Yannopapas

It is shown theoretically that a nonchiral, two-dimensional array of metallic spheres exhibits optical activity as manifested in calculations of circular dichroism. The metallic spheres occupy the sites of a rectangular lattice, and for off-normal incidence they show a strong circular-dichroism effect around the surface-plasmon frequencies. The optical activity is a result of the rectangular sy...

2000
SI-KIT CHUNG

It is shown that a normed vector lattice (E, ‖ · ‖) is order continuous if and only if, for every lattice norm ρ on E with ρ ≤ ‖·‖, the ‖·‖-topology and ρ-topology coincide on every order interval of E.

Journal: :Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 1993

Journal: :Journal of Mathematical Analysis and Applications 2014

Journal: :Sampling theory, signal processing, and data analysis 2022

Abstract The main purpose of this paper is to apply the theory vector lattices and related abstract modular convergence context Mellin-type kernels (non)linear lattice-valued operators, following construction an integral given in earlier papers.

1993
Sanjeev Arora László Babai Jacques Stern Elizabeth Sweedyk

We prove the following about the Nearest Lattice Vector Problem (an any e, norm), the Nearest Codeword Problem for binary codes, the problem of learning a halfspace in the presence of errors, and some other problems. 1. Approximating the optimum within any constant factor is NP-hard. 2. If for some 6 > 0 there exists a polynomial t ime algorithm that approximates the optimum within a factor of ...

Journal: :CoRR 2014
Daoud Clarke

We introduce Riesz Logic, whose models are abelian lattice ordered groups, which generalise Riesz spaces (vector lattices), and show soundness and completeness. Our motivation is to provide a logic for distributional semantics of natural language, where words are typically represented as elements of a vector space whose dimensions correspond to contexts in which words may occur. This basis prov...

Journal: :International Journal of Embedded Systems and Applications 2012

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