نتایج جستجو برای: vector lattice
تعداد نتایج: 287231 فیلتر نتایج به سال:
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...
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.
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.
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 ...
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...
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