16,312 research outputs found
Crowdsourcing a Word-Emotion Association Lexicon
Even though considerable attention has been given to the polarity of words
(positive and negative) and the creation of large polarity lexicons, research
in emotion analysis has had to rely on limited and small emotion lexicons. In
this paper we show how the combined strength and wisdom of the crowds can be
used to generate a large, high-quality, word-emotion and word-polarity
association lexicon quickly and inexpensively. We enumerate the challenges in
emotion annotation in a crowdsourcing scenario and propose solutions to address
them. Most notably, in addition to questions about emotions associated with
terms, we show how the inclusion of a word choice question can discourage
malicious data entry, help identify instances where the annotator may not be
familiar with the target term (allowing us to reject such annotations), and
help obtain annotations at sense level (rather than at word level). We
conducted experiments on how to formulate the emotion-annotation questions, and
show that asking if a term is associated with an emotion leads to markedly
higher inter-annotator agreement than that obtained by asking if a term evokes
an emotion
Energy of Stable Half-Quantum Vortex in Equal-Spin-Pairing
In the triplet equal-spin-pairing states of both 3He-A phase and Sr2RuO4
superconductor, existence of Half-Quantum Vortices HQVs are possible. The
vortices carry half-integer multiples of magnetic quantum flux (hc/2e). To
obtain equilibrium condition for such systems, one has to take into account not
only weak interaction energy but also effects of Landau Fermi liquid. Our
method is based on the explanation of the HQV in terms of a BCS-like wave
function with a spin-dependent boots. We have considered l=2 order effects of
the Landau Fermi liquid. We have shown that the effects of Landau Fermi liquid
interaction with l=2 are negligible. In stable HQV, an effective Zeeman field
exists. In the thermodynamic stability state, the effective Zeeman field
produces a non-zero spin polarization in addition to the polarization of
external magnetic field
Quotient graphs for power graphs
In a previous paper of the first author a procedure was developed for
counting the components of a graph through the knowledge of the components of
its quotient graphs. We apply here that procedure to the proper power graph
of a finite group , finding a formula for the number
of its components which is particularly illuminative when
is a fusion controlled permutation group. We make use of the proper
quotient power graph , the proper order graph
and the proper type graph . We show that
all those graphs are quotient of and demonstrate a strong
link between them dealing with . We find simultaneously
as well as the number of components of
, and
Front speed enhancement by incompressible flows in three or higher dimensions
We study, in dimensions , the family of first integrals of an
incompressible flow: these are functions whose level surfaces are
tangent to the streamlines of the advective incompressible field. One main
motivation for this study comes from earlier results proving that the existence
of nontrivial first integrals of an incompressible flow is the main key
that leads to a "linear speed up" by a large advection of pulsating traveling
fronts solving a reaction-advection-diffusion equation in a periodic
heterogeneous framework. The family of first integrals is not well understood
in dimensions due to the randomness of the trajectories of and
this is in contrast with the case N=2. By looking at the domain of propagation
as a union of different components produced by the advective field, we provide
more information about first integrals and we give a class of incompressible
flows which exhibit `ergodic components' of positive Lebesgue measure (hence
are not shear flows) and which, under certain sharp geometric conditions, speed
up the KPP fronts linearly with respect to the large amplitude. In the proofs,
we establish a link between incompressibility, ergodicity, first integrals, and
the dimension to give a sharp condition about the asymptotic behavior of the
minimal KPP speed in terms the configuration of ergodic components.Comment: 34 pages, 3 figure
Resolving the fine-scale structure in turbulent Rayleigh-Benard convection
We present high-resolution direct numerical simulation studies of turbulent
Rayleigh-Benard convection in a closed cylindrical cell with an aspect ratio of
one. The focus of our analysis is on the finest scales of convective
turbulence, in particular the statistics of the kinetic energy and thermal
dissipation rates in the bulk and the whole cell. The fluctuations of the
energy dissipation field can directly be translated into a fluctuating local
dissipation scale which is found to develop ever finer fluctuations with
increasing Rayleigh number. The range of these scales as well as the
probability of high-amplitude dissipation events decreases with increasing
Prandtl number. In addition, we examine the joint statistics of the two
dissipation fields and the consequences of high-amplitude events. We also have
investigated the convergence properties of our spectral element method and have
found that both dissipation fields are very sensitive to insufficient
resolution. We demonstrate that global transport properties, such as the
Nusselt number, and the energy balances are partly insensitive to insufficient
resolution and yield correct results even when the dissipation fields are
under-resolved. Our present numerical framework is also compared with
high-resolution simulations which use a finite difference method. For most of
the compared quantities the agreement is found to be satisfactory.Comment: 33 pages, 24 figure
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