4,824 research outputs found
Bidirectional syntactic priming across cognitive domains: from arithmetic to language and back
Scheepers et al. (2011) showed that the structure of a correctly solved mathematical equation affects how people subsequently complete sentences containing high vs. low relative-clause attachment ambiguities. Here we investigated whether such effects generalise to different structures and tasks, and importantly, whether they also hold in the reverse direction (i.e., from linguistic to mathematical processing). In a questionnaire-based experiment, participants had to solve structurally left- or right-branching equations (e.g., 5 × 2 + 7 versus 5 + 2 × 7) and to provide sensicality ratings for structurally left- or right-branching adjective-noun-noun compounds (e.g., alien monster movie versus lengthy monster movie). In the first version of the experiment, the equations were used as primes and the linguistic expressions as targets (investigating structural priming from maths to language). In the second version, the order was reversed (language-to-maths priming). Both versions of the experiment showed clear structural priming effects, conceptually replicating and extending the findings from Scheepers et al. (2011). Most crucially, the observed bi-directionality of cross-domain structural priming strongly supports the notion of shared syntactic representations (or recursive procedures to generate and parse them) between arithmetic and language
Quasi-uniformity of Minimal Weighted Energy Points on Compact Metric Spaces
For a closed subset of a compact metric space possessing an
-regular measure with , we prove that whenever
, any sequence of weighted minimal Riesz -energy configurations
on (for `nice' weights) is
quasi-uniform in the sense that the ratios of its mesh norm to separation
distance remain bounded as grows large. Furthermore, if is an
-rectifiable compact subset of Euclidean space ( an integer)
with positive and finite -dimensional Hausdorff measure, it is possible
to generate such a quasi-uniform sequence of configurations that also has (as
) a prescribed positive continuous limit distribution with respect
to -dimensional Hausdorff measure. As a consequence of our energy
related results for the unweighted case, we deduce that if is a compact
manifold without boundary, then there exists a sequence of -point
best-packing configurations on whose mesh-separation ratios have limit
superior (as ) at most 2
Ownership Structure, Property Performance, Multifamily Properties and REITs
This research extends literature that empirically evaluates the impact of ownership and management structure on property level performance. The results show that multifamily properties owned and managed by real estate investment trusts (REITs) generate higher effective rents at the property level than non-REIT-owned properties. After controlling for positive operating scale and brand effects, REIT property level performance is better than non-REIT property level performance in the market studied. The REIT structure represents diversified scale operators with property management skills. The results imply that the structure of property ownership can impact property performance.
The support of the limit distribution of optimal Riesz energy points on sets of revolution in
Let A be a compact set in the right-half plane and the set in
obtained by rotating A about the vertical axis. We investigate
the support of the limit distribution of minimal energy point charges on
that interact according to the Riesz potential 1/r^{s}, 0<s<1,
where r is the Euclidean distance between points. Potential theory yields that
this limit distribution coincides with the equilibrium measure on
which is supported on the outer boundary of . We show that there are
sets of revolution such that the support of the equilibrium measure
on is {\bf not} the complete outer boundary, in contrast to the
Coulomb case s=1. However, the support of the limit distribution on the set of
revolution as R goes to infinity, is the full outer boundary for
certain sets A, in contrast to the logarithmic case (s=0)
Ground state of a large number of particles on a frozen topography
Problems consisting in finding the ground state of particles interacting with
a given potential constrained to move on a particular geometry are surprisingly
difficult. Explicit solutions have been found for small numbers of particles by
the use of numerical methods in some particular cases such as particles on a
sphere and to a much lesser extent on a torus. In this paper we propose a
general solution to the problem in the opposite limit of a very large number of
particles M by expressing the energy as an expansion in M whose coefficients
can be minimized by a geometrical ansatz. The solution is remarkably universal
with respect to the geometry and the interaction potential. Explicit solutions
for the sphere and the torus are provided. The paper concludes with several
predictions that could be verified by further theoretical or numerical work.Comment: 9 pages, 9 figures, LaTeX fil
An inventory of aeronautical ground research facilities. Volume 1: Wind tunnels
A survey of wind tunnel research facilities in the United States is presented. The inventory includes all subsonic, transonic, and hypersonic wind tunnels operated by governmental and private organizations. Each wind tunnel is described with respect to size, mechanical operation, construction, testing capabilities, and operating costs. Facility performance data are presented in charts and tables
An inventory of aeronautical ground research facilities. Volume 3: Structural
An inventory of test facilities for conducting acceleration, environmental, impact, structural shock, load, heat, vibration, and noise tests is presented. The facility is identified with a description of the equipment, the testing capabilities, and cost of operation. Performance data for the facility are presented in charts and tables
Colour Relations in Form
The orthodox monadic determination thesis holds that we represent colour relations by virtue of representing colours. Against this orthodoxy, I argue that it is possible to represent colour relations without representing any colours. I present a model of iconic perceptual content that allows for such primitive relational colour representation, and provide four empirical arguments in its support. I close by surveying alternative views of the relationship between monadic and relational colour representation
Topological Constraints on the Charge Distributions for the Thomson Problem
The method of Morse theory is used to analyze the distributions of unit
charges interacting through a repulsive force and constrained to move on the
surface of a sphere -- the Thomson problem. We find that, due to topological
reasons, the system may organize itself in the form of pentagonal structures.
This gives a qualitative account for the interesting ``pentagonal buttons''
discovered in recent numerical work.Comment: 10 pages; dedicated to Rafael Sorkin on his 60th birthda
Crystalline Order On Riemannian Manifolds With Variable Gaussian Curvature And Boundary
We investigate the zero temperature structure of a crystalline monolayer
constrained to lie on a two-dimensional Riemannian manifold with variable
Gaussian curvature and boundary. A full analytical treatment is presented for
the case of a paraboloid of revolution. Using the geometrical theory of
topological defects in a continuum elastic background we find that the presence
of a variable Gaussian curvature, combined with the additional constraint of a
boundary, gives rise to a rich variety of phenomena beyond that known for
spherical crystals. We also provide a numerical analysis of a system of
classical particles interacting via a Coulomb potential on the surface of a
paraboloid.Comment: 12 pages, 8 figure
- …