63,540 research outputs found
Project Matrix: Identifying the Mathematically Talented and Meeting the Mathematical Needs of All
Finite element analysis of a composite material interface
A finite element model of a composite material interface is developed to study the influence of the interface on the thermal strain in the composite. A plane stress model is used with an axisymmetric model as a check. The interface thickness, thermal coefficient, modulus, Poisson's ratio and the percent of mineral in the composite are variables in the study. The results confirmed the usability of the finite element model in studying the polymer-mineral interface
Consistency of Bayesian Linear Model Selection With a Growing Number of Parameters
Linear models with a growing number of parameters have been widely used in
modern statistics. One important problem about this kind of model is the
variable selection issue. Bayesian approaches, which provide a stochastic
search of informative variables, have gained popularity. In this paper, we will
study the asymptotic properties related to Bayesian model selection when the
model dimension is growing with the sample size . We consider
and provide sufficient conditions under which: (1) with large probability, the
posterior probability of the true model (from which samples are drawn)
uniformly dominates the posterior probability of any incorrect models; and (2)
with large probability, the posterior probability of the true model converges
to one. Both (1) and (2) guarantee that the true model will be selected under a
Bayesian framework. We also demonstrate several situations when (1) holds but
(2) fails, which illustrates the difference between these two properties.
Simulated examples are provided to illustrate the main results
Higgs fields, bundle gerbes and string structures
We use bundle gerbes and their connections and curvings to obtain an explicit
formula for a de Rham representative of the string class of a loop group
bundle. This is related to earlier work on calorons.Comment: 15 page
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