290,619 research outputs found
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A rational cubic spline with tension
A rational cubic spline curve is described which has tension control parameters for manipulating the shape of the curve. The spline is presented in both interpolatory and rational B-spline forms, and the behaviour of the resulting representations is analysed with respect to variation of the control parameters
Multi-copy and stochastic transformation of multipartite pure states
Characterizing the transformation and classification of multipartite
entangled states is a basic problem in quantum information. We study the
problem under two most common environments, local operations and classical
communications (LOCC), stochastic LOCC and two more general environments,
multi-copy LOCC (MCLOCC) and multi-copy SLOCC (MCSLOCC). We show that two
transformable multipartite states under LOCC or SLOCC are also transformable
under MCLOCC and MCSLOCC. What's more, these two environments are equivalent in
the sense that two transformable states under MCLOCC are also transformable
under MCSLOCC, and vice versa. Based on these environments we classify the
multipartite pure states into a few inequivalent sets and orbits, between which
we build the partial order to decide their transformation. In particular, we
investigate the structure of SLOCC-equivalent states in terms of tensor rank,
which is known as the generalized Schmidt rank. Given the tensor rank, we show
that GHZ states can be used to generate all states with a smaller or equivalent
tensor rank under SLOCC, and all reduced separable states with a cardinality
smaller or equivalent than the tensor rank under LOCC. Using these concepts, we
extended the concept of "maximally entangled state" in the multi-partite
system.Comment: 8 pages, 1 figure, revised version according to colleagues' comment
Complexity of Left-Ideal, Suffix-Closed and Suffix-Free Regular Languages
A language over an alphabet is suffix-convex if, for any words
, whenever and are in , then so is .
Suffix-convex languages include three special cases: left-ideal, suffix-closed,
and suffix-free languages. We examine complexity properties of these three
special classes of suffix-convex regular languages. In particular, we study the
quotient/state complexity of boolean operations, product (concatenation), star,
and reversal on these languages, as well as the size of their syntactic
semigroups, and the quotient complexity of their atoms.Comment: 20 pages, 11 figures, 1 table. arXiv admin note: text overlap with
arXiv:1605.0669
Cycling and Health Innovative Pilot Projects (Executive summary)
The Cycling and Health Innovative Pilot Project (CHIPPS) provided cycle training for adults in Nottingham and Northamptonshire from 2007 to 2010. The Primary Care Trusts in each area have delivered these projects in collaboration with partners. In Nottingham collaboration with Ridewise delivered the Cycling for Health Project that aimed to involve people from deprived communities and employees of the Primary Care Trust; in Northamptonshire the Easy Rider project delivered via Age UK was also aimed at those living in deprived areas and middle-aged people. Throughout the three years the initiative was evaluated by the Carnegie Research Institute of Leeds Metropolitan University. Those taking part completed questionnaires at the outset, at the end of their training, three months later and finally after a year. In addition, a mix of one-to-one interviews and focus groups were conducted with policy makers, those delivering the projects and participants (including those who dropped out)
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Agenda chasing and contests among news providers
This article studies competition in contests with a focus on the news industry that is increasingly influenced by social media. The model assumes publishers to pick a single topic from a large pool based on the topics' prior “success” probabilities, thereby “chasing” potentially successful topics. Firms that publish topics that become successful divide a “reward” which can change with the number of competing firms and the number of successful topics. The results show that share structures can be categorized into three types that, in turn, lead to qualitatively different outcomes for the contest
SO_0(1,d+1) Racah coefficients: Type I representations
We use AdS/CFT inspired methods to study the Racah coefficients for type I
representations of the Lorentz group SO_0(1,d+1) with d>1. For such
representations (a multiple of) the Racah coefficient can be represented as an
integral of a product of 6 bulk-to-bulk propagators over 4 copies of the
hyperbolic space H_{d+1}. To compute the integrals we represent the
bulk-to-bulk propagators in terms of bulk-to-boundary ones. The bulk integrals
can be computed explicitly, and the boundary integrations are carried out by
introducing Feynman parameters. The final result is an integral representation
of the Racah coefficient given by 4 Barnes-Mellin type integrals.Comment: 20 pages, 1 figure. v2: Case d=1 corrected, case d>1 clarifie
Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis
We consider the Lie group generated by the Lie algebra
of -Minkowski space. Imposing the invariance of the metric under the
pull-back of diffeomorphisms induced by right translations in the group, we
show that a unique right invariant metric is associated with
. This metric coincides with the metric of de Sitter
space-time. We analyze the structure of unitary representations of the group
relevant for the realization of the non-commutative
-Minkowski space by embedding into -dimensional Heisenberg
algebra. Using a suitable set of generalized coherent states, we select the
particular Hilbert space and realize the non-commutative -Minkowski
space as an algebra of the Hilbert-Schmidt operators. We define dequantization
map and fuzzy variant of the Laplace-Beltrami operator such that dequantization
map relates fuzzy eigenvectors with the eigenfunctions of the Laplace-Beltrami
operator on the half of de Sitter space-time.Comment: 21 pages, v3 differs from version published in Fortschritte der
Physik by a note and references added and adjuste
Dissipative particle dynamics study of solvent mediated transitions in pores decorated with tethered polymer brushes in the form of stripes
We study self-assembly of a binary mixture of components A and B confined in
a slit-like pore with the walls modified by the stripes of tethered brushes
made of beads of a sort A. The emphasis is on solvent mediated transitions
between morphologies when the composition of the mixture varies. For certain
limiting cases of the pore geometry we found that an effective reduction of the
dimensionality may lead to a quasi one- and two-dimensional demixing. The
change of the environment for the chains upon changing the composition of the
mixture from polymer melt to a good solvent conditions provides explanation for
the mechanism of development of several solvent mediated morphologies and, in
some cases, for switching between them. We found solvent mediated lamellar,
meander and in-lined cylinder phases. Quantitative analysis of morphology
structure is performed considering brush overlap integrals and gyration tensor
components.Comment: 14 pages, 12 figure
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