3,505 research outputs found
Canonical Partition Functions for Parastatistical Systems of any order
A general formula for the canonical partition function for a system obeying
any statistics based on the permutation group is derived. The formula expresses
the canonical partition function in terms of sums of Schur functions. The only
hitherto known result due to Suranyi [ Phys. Rev. Lett. {\bf 65}, 2329 (1990)]
for parasystems of order two is shown to arise as a special case of our general
formula. Our results also yield all the relevant information about the
structure of the Fock spaces for parasystems.Comment: 9 pages, No figures, Revte
About the maximal rank of 3-tensors over the real and the complex number field
High dimensional array data, tensor data, is becoming important in recent
days. Then maximal rank of tensors is important in theory and applications. In
this paper we consider the maximal rank of 3 tensors. It can be attacked from
various viewpoints, however, we trace the method of Atkinson-Stephens(1979) and
Atkinson-Lloyd(1980). They treated the problem in the complex field, and we
will present various bounds over the real field by proving several lemmas and
propositions, which is real counterparts of their results.Comment: 13 pages, no figure v2: correction and improvemen
Cosmological constraints on the generalized holographic dark energy
We use the Markov ChainMonte Carlo method to investigate global constraints
on the generalized holographic (GH) dark energy with flat and non-flat universe
from the current observed data: the Union2 dataset of type supernovae Ia
(SNIa), high-redshift Gamma-Ray Bursts (GRBs), the observational Hubble data
(OHD), the cluster X-ray gas mass fraction, the baryon acoustic oscillation
(BAO), and the cosmic microwave background (CMB) data. The most stringent
constraints on the GH model parameter are obtained. In addition, it is found
that the equation of state for this generalized holographic dark energy can
cross over the phantom boundary wde =-1.Comment: 14 pages, 5 figures. arXiv admin note: significant text overlap with
arXiv:1105.186
One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
Using CSW rules for constructing scalar Feynman diagrams from MHV vertices,
we compute the contribution of chiral multiplet to one-loop
MHV gluon amplitude. The result agrees with the one obtained previously using
unitarity-based methods, thereby demonstrating the validity of the MHV-diagram
technique, in the case of one-loop MHV amplitudes, for all massless
supersymmetric theories.Comment: 20 pages, 5 figure
Recursion relations, Helicity Amplitudes and Dimensional Regularization
Using the method of on-shell recursion relations we compute tree level
amplitudes including D-dimensional scalars and fermions. These tree level
amplitudes are needed for calculations of one-loop amplitudes in QCD involving
external quarks and gluons.Comment: 28 pages, 6 figures, clarifications adde
Scalar diagrammatic rules for Born amplitudes in QCD
We show that all Born amplitudes in QCD can be calculated from scalar
propagators and a set of three- and four-valent vertices. In particular, our
approach includes amplitudes with any number of quark pairs. The quarks may be
massless or massive. The proof of the formalism is given entirely within
quantum field theory.Comment: 20 pages, references adde
A failure study of the railway rail serviced for heavy cargo trains
AbstractIn this case study, a failed railway rail which was used for heavy cargo trains was investigated in order to find out its root cause. The macroscopic beach marks and microscopic fatigue striations were not observed by macro and microscopic observations. The chevron patterns were observed by macro observations. The crack origin was at the tip of chevron patterns. The fan-shaped patterns, cleavage step and the river patterns were observed at the crack origin, which demonstrated the feature of cleavage fracture. The metallurgical structures at the crack origin were pearlite and ferrite networks. The crack is supposed to be initiated from the weaker ferrite networks. Given all of that, the failed railway rail is considered to be caused by overload. It is of great importance to improve the welding technology, and control the load of train in order to prevent similar failure in future
Epitaxially strained [001]-(PbTiO)(PbZrO) superlattice and PbTiO from first principles
The effect of layer-by-layer heterostructuring and epitaxial strain on
lattice instabilities and related ferroelectric properties is investigated from
first principles for the [001]-(PbTiO)(PbZrO) superlattice and
pure PbTiO on a cubic substrate. The results for the superlattice show an
enhancement of the stability of the monoclinic r-phase with respect to pure
PbTiO. Analysis of the lattice instabilities of the relaxed centrosymmetric
reference structure computed within density functional perturbation theory
suggests that this results from the presence of two unstable zone-center modes,
one confined in the PbTiO layer and one in the PbZrO layer, which
produce in-plane and normal components of the polarization, respectively. The
zero-temperature dielectric response is computed and shown to be enhanced not
only near the phase boundaries, but throughout the r-phase. Analysis of the
analogous calculation for pure PbTiO is consistent with this
interpretation, and suggests useful approaches to engineering the dielectric
properties of artificially structured perovskite oxides.Comment: 8 pages, 5 figure
Modification of the pattern informatics method for forecasting large earthquake events using complex eigenvectors
Recent studies have shown that real-valued principal component analysis can
be applied to earthquake fault systems for forecasting and prediction. In
addition, theoretical analysis indicates that earthquake stresses may obey a
wave-like equation, having solutions with inverse frequencies for a given fault
similar to those that characterize the time intervals between the largest
events on the fault. It is therefore desirable to apply complex principal
component analysis to develop earthquake forecast algorithms. In this paper we
modify the Pattern Informatics method of earthquake forecasting to take
advantage of the wave-like properties of seismic stresses and utilize the
Hilbert transform to create complex eigenvectors out of measured time series.
We show that Pattern Informatics analyses using complex eigenvectors create
short-term forecast hot-spot maps that differ from hot-spot maps created using
only real-valued data and suggest methods of analyzing the differences and
calculating the information gain.Comment: 13 pages, 1 figure. Submitted to Tectonophysics on 30 August 200
On Classifying Sepsis Heterogeneity in the ICU: Insight Using Machine Learning
Current machine learning models aiming to predict sepsis from Electronic
Health Records (EHR) do not account for the heterogeneity of the condition,
despite its emerging importance in prognosis and treatment. This work
demonstrates the added value of stratifying the types of organ dysfunction
observed in patients who develop sepsis in the ICU in improving the ability to
recognise patients at risk of sepsis from their EHR data. Using an ICU dataset
of 13,728 records, we identify clinically significant sepsis subpopulations
with distinct organ dysfunction patterns. Classification experiments using
Random Forest, Gradient Boost Trees and Support Vector Machines, aiming to
distinguish patients who develop sepsis in the ICU from those who do not, show
that features selected using sepsis subpopulations as background knowledge
yield a superior performance regardless of the classification model used. Our
findings can steer machine learning efforts towards more personalised models
for complex conditions including sepsis.Comment: 3 Figures and 2 tables. Accepted for publication at the Journal of
American Medical Informatics Associatio
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