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We develop and compare two algorithms for computing first-order right-hand factors in the ring of linear Mahler operators l_r M^r+?+l_1 M+l_0 where l_0,…,l_r are polynomials in x and Mx=x^b M for some...
In practice, fractional factorial split-plot (FFSP) designs are widely used when the levels of some factors are very difficult to change or control. The factors of an FFSP design are divided into two ...
The CreditRisk + model is widely used in industry for computing the loss of a credit port-folio. The standard CreditRisk + model assumes independence among a set of common risk factors, a simplified a...
In this paper, a group shift is an expansive action of Zd on a compact metrizable zero dimensional group by continuous automorphisms. All group shifts factor topologically onto equal-entropy Bernoulli...
For d ≥ 2, we use results of Hochman and Meyerovitch to construct examples of Zd shifts of finite type of entropy log N, N ∈ N, which cannot factor topologically onto the Zd Bernoulli shift on N symbo...
For d ≥ 2 we exhibit mixing Zd shifts of finite type and sofic shifts with large entropy but poorly separated subsystems (in the sofic examples, the only minimal subsystem is a single point). These ex...
Motivating Problem: Experimentation related to the engineering design of commercial corn harvesting equipment.Investigation about how the efficiency of harvesting performance is influenced by six vari...
For a regular 2(l1+l2)−k design D containing l1 Group I factors and l2 Group II factors, let Ai1,i2(D) be the number of words in the defining contrast subgroup containing i1 Group I factors and ...
Consideran(sr )sn factorialdesignD= [D0,DT]inst runs,involvingone sr -levelfactor (r≥2),groupedbytheLrs-levelfactors,andns-level factors.
This paper deals with the factor modeling for high-dimensional time series based on a dimension-reduction viewpoint. Under stationary settings, the inference is simple in the sense that both the numbe...
Recently, Holm and Ivanov, proposed and studied a class of multi-component generalisations of the Camassa-Holm equations [D D Holm and R I Ivanov, Multi-component generalizations of the CH equation: g...
Abstract: We prove that the complex of free factors of a free group of finite rank is hyperbolic.
Abstract: We construct a class of II_1 factors that admit a non smooth family of Cartan subalgebras that are non conjugate by an automorphism. We also construct a II_1 factor that admits uncountably m...
This paper is an update and extension of a result the authors first proved in 2003. The goal of this paper is to study factors which are known to be L2-characteristic for certain nonconventional avera...
Factor analysis (FA) is used to summarize the data covariance structure in a few dimensions of the data. FA attempts to identify underlying variables that explain the pattern of correlations within a ...

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