Results 31 to 40 of about 1,358,389 (305)
Atomic Operators in Vector Lattices [PDF]
Mediterranean Journal of Mathematics, 2020 AbstractIn this paper, we introduce a new class of operators on vector lattices. We say that a linear or nonlinear operator T from a vector lattice E to a vector lattice F is atomic if there exists a Boolean homomorphism $$\Phi $$ Φ from the Boolean algebra $${\mathfrak {B}}(E)$$ B ( E ) of all order projections on E to $${\mathfrak {B}}(F)$$ B ...
Ralph Chill, Marat Pliev
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Construction of Good Rank-1 Lattice Rules Based on the Weighted Star Discrepancy [PDF]
, 2006 The ‘goodness’ of a set of quadrature points in [0, 1]d may be measured by the weighted star discrepancy. If the weights for the weighted star discrepancy are summable, then we show that for n prime there exist n-point rank-1 lattice rules whose weighted
Joe, Stephen
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Shear displacement gradient in X-ray Bragg coherent diffractive imaging
Journal of Synchrotron Radiation, 2022 Bragg coherent X-ray diffractive imaging is a cutting-edge method for recovering three-dimensional crystal structure with nanoscale resolution. Phase retrieval provides an atomic displacement parallel to the Bragg peak reciprocal lattice vector.
Oleg Gorobtsov, Andrej Singer
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Ectopic A-lattice seams destabilize microtubules [PDF]
, 2014 Natural microtubules typically include one A-lattice seam within an otherwise helically symmetric B-lattice tube. It is currently unclear how A-lattice seams influence microtubule dynamic instability.
Cross, R. A. +2 more
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Physics Letters B, 2020 Within a chiral quark model, we evaluate the good cross section in the Euclidean space in the vector - axial vector channel, proposed recently by Ma and Qiu as means to extract the so far elusive parton distribution functions of the pion from lattice QCD.
Wojciech Broniowski +1 more
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Sequential convergences in a vector lattice [PDF]
, 1998 summary:In the present paper we deal with sequential convergences on a vector lattice $L$ which are compatible with the structure of $L$
Jakubík, Ján
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EPiC Series in Computing, 2018 In analysis, truncation is the operation of replacing a nonnegative real-valued function a (x) by its pointwise meet a (x) ∧ 1 with the constant $1$ function. A vector lattice A is said to be closed under truncation if a ∧ 1 ∈ A for all a ∈ A+. Note that A need notcontain 1 itself.Truncation is fundamental to analysis.
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Orthogonally Biadditive Operators
Journal of Function Spaces, 2021 In this article, we introduce and study a new class of operators defined on a Cartesian product of ideal spaces of measurable functions. We use the general approach of the theory of vector lattices.
Nonna Dzhusoeva +2 more
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Determination of the rank of an integration lattice [PDF]
, 2006 The continuing and widespread use of lattice rules for high-dimensional numerical quadrature is driving the development of a rich and detailed theory.
Joe, Stephen, Lyness, J.N.
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Analysis of decreasing squared-sum of Gram–Schmidt lengths for short lattice vectors
Journal of Mathematical Cryptology, 2017 In 2015, Fukase and Kashiwabara proposed an efficient method to find a very short lattice vector. Their method has been applied to solve Darmstadt shortest vector problems of dimensions 134 to 150.
Yasuda Masaya +4 more
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