15,451 research outputs found
Incompressible SPH simulation of wave interaction with porous structure
In this paper an incompressible Smoothed Particle Hydrodynamics (ISPH) method is applied to investigate the flow motion in and around the porous structure. In order to describe in a simple and effective way the flow through the interface between the porous region and pure fluid region within the SPH framework, a heuristic boundary treatment method has been proposed. The ISPH model is first verified against a theoretical model of wave propagation over a porous bed and then further validated by comparing the predicted wave surface profiles and flow velocity fields with the experiment data for a typical case of flow motion around and inside a submerged porous structure. The good agreement has demonstrated that the improved ISPH model developed in this work is capable of modelling wave interaction with porous structures
lassopack: Model selection and prediction with regularized regression in Stata
This article introduces lassopack, a suite of programs for regularized
regression in Stata. lassopack implements lasso, square-root lasso, elastic
net, ridge regression, adaptive lasso and post-estimation OLS. The methods are
suitable for the high-dimensional setting where the number of predictors
may be large and possibly greater than the number of observations, . We
offer three different approaches for selecting the penalization (`tuning')
parameters: information criteria (implemented in lasso2), -fold
cross-validation and -step ahead rolling cross-validation for cross-section,
panel and time-series data (cvlasso), and theory-driven (`rigorous')
penalization for the lasso and square-root lasso for cross-section and panel
data (rlasso). We discuss the theoretical framework and practical
considerations for each approach. We also present Monte Carlo results to
compare the performance of the penalization approaches.Comment: 52 pages, 6 figures, 6 tables; submitted to Stata Journal; for more
information see https://statalasso.github.io
Massive charged particle's tunneling from spherical charged black hole
We generalize the Parikh-Wilczek scheme to the tunneling of a massive charged
particle from a general spherical charged black hole. We obtain that the
tunneling probability depends on the energy, the mass and the charge of the
particle. In particular, the modified Hawking temperature is related to the
charge. Only at the leading order approximation can the standard Hawking
temperature be reproduced. We take the Reissner-Nordstr\"{o}m black hole as an
example to clarify our points of view, and find that the accumulation of
Hawking radiation makes it approach an extreme black hole.Comment: 10 pages, no figures; v2: a minor typo corrected; v3: 11 pages,
clarification and reference added, final version to be published in EPL; v4:
minor modifications to match the published versio
Markov bases and subbases for bounded contingency tables
In this paper we study the computation of Markov bases for contingency tables
whose cell entries have an upper bound. In general a Markov basis for unbounded
contingency table under a certain model differs from a Markov basis for bounded
tables. Rapallo, (2007) applied Lawrence lifting to compute a Markov basis for
contingency tables whose cell entries are bounded. However, in the process, one
has to compute the universal Gr\"obner basis of the ideal associated with the
design matrix for a model which is, in general, larger than any reduced
Gr\"obner basis. Thus, this is also infeasible in small- and medium-sized
problems. In this paper we focus on bounded two-way contingency tables under
independence model and show that if these bounds on cells are positive, i.e.,
they are not structural zeros, the set of basic moves of all
minors connects all tables with given margins. We end this paper with an open
problem that if we know the given margins are positive, we want to find the
necessary and sufficient condition on the set of structural zeros so that the
set of basic moves of all minors connects all incomplete
contingency tables with given margins.Comment: 22 pages. It will appear in the Annals of the Institution of
Statistical Mathematic
A Centimeter-Sized Quaternary Ti-Zr-Be-Ag Bulk Metallic Glass
A novel centimeter-sized Ti-based bulk metallic glass (BMG) was developed by the addition of Ag in the ternary Ti41Zr25Be34 glassy alloy. By replacing Be with Ag, the glass forming ability (GFA), the yield strength, and the supercooled liquid temperature of the quaternary Ti41Zr25Be34−xAgx (x=2, 4, 6, 8 at.%) glassy alloys have been obviously enhanced. Among the developed Ti-Zr-Be-Ag alloy systems, the Ti41Zr25Be28Ag6 alloy possesses the largest critical diameter (Dmax) of 10 mm, while the yield strength is also enhanced to 1961 MPa, which is much larger than that of Ti41Zr25Be34 (1755 MPa) alloy. The experimental results show that Ag is an effective element for improving the GFA and the yield strength of Ti-Zr-Be glassy alloy
Generalized - Model
By parameterizing the t-j model we present a new electron correlation model
with one free parameter for high-temperature superconductivity. This model is
of symmetry. The energy spectrums are shown to be modulated by
the free parameter in the model. The solution and symmetric structures of the
Hilbert space, as well as the Bethe ansatz approach are discussed for special
cases.Comment: 13 page, Latex, to appear in J. Phys.
A Generalized Representation Formula for Systems of Tensor Wave Equations
In this paper, we generalize the Kirchhoff-Sobolev parametrix of Klainerman
and Rodnianski to systems of tensor wave equations with additional first-order
terms. We also present a different derivation, which better highlights that
such representation formulas are supported entirely on past null cones. This
generalization is a key component for extending Klainerman and Rodnianski's
breakdown criterion result for Einstein-vacuum spacetimes to Einstein-Maxwell
and Einstein-Yang-Mills spacetimes.Comment: 29 page
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