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A piecewise-linear theory of minimal surfaces of non-zero index /Bachman, David Charles, January 1999 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 1999. / Vita. Includes bibliographical references (leaves 106-108). Available also in a digital version from Dissertation Abstracts.
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Detecting piecewise linear approximate fibrations /Nam, Kiwon. January 1995 (has links)
Thesis (Ph. D.)--Oregon State University, 1996. / Typescript (photocopy). Includes bibliographical references (leaves 68-69). Also available on the World Wide Web.
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Some new engulfing theoremsCrary, Fred D. January 1973 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1973. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
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Piecewise linear Markov decision processes with an application to partially observable Markov modelsSawaki, Katsushige January 1977 (has links)
This dissertation applies policy improvement and successive
approximation or value iteration to a general class of Markov decision processes with discounted costs. In particular, a class of Markov decision processes, called piecewise-linear, is studied. Piecewise-linear processes are characterized by the property that the value function of a process observed for one period and then terminated is piecewise-linear if the terminal reward function is piecewise-linear. Partially observable Markov decision processes have this property.
It is shown that there are e-optimal piecewise-linear value functions and piecewise-constant policies which are simple. Simple means that there are only finitely many pieces, each of which is defined on a convex polyhedral set. Algorithms based on policy improvement and successive approximation are developed to compute simple approximations to an optimal policy and the optimal value function. / Business, Sauder School of / Graduate
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Deterministic and stochastic behaviors of a piecewise-linear systemMha, Ho-Seong 07 May 1996 (has links)
The (nonlinear) response behavior of a piecewise-linear system is investigated under
both deterministic and stochastic excitations in this study. A semi-analytical procedure is
developed to predict the system behavior by evaluating the joint probability density functions
of the Fokker-Planck equations of the stochastic piecewise-linear system under random
excitations via a path-integral solution procedure.
From an analysis of the deterministic system, nonlinear system behavior is derived for
further analysis of the corresponding stochastic system. The influence of variations in other
parameters on the response behavior are also examined.
In the stochastic system analysis, which represents a more realistic approach to
understanding the system behavior, a Markov process approach is used. By introducing
random perturbations in the harmonic excitation, the stochastic responses are examined and
compared to those of the corresponding deterministic system. Stability of the various
responses including regular and chaotic motions, is investigated by varying the noise intensity.
Routes to chaos in period-doubling processes with and without external random perturbations
are studied and compared. Stationarity and ergodicity of the chaotic responses of the system
are examined via time domain and probability domain simulations.
Potential coexisting responses of the piecewise-linear system are examined via the
path-integral solutions. It is found that the path-integral solutions can provide global
information of the system behavior in the probability domain, and can also verify the potential
coexisting responses and discern the relative strength of the coexisting response attractors. / Graduation date: 1996
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A polyhedral study of nonconvex piecewise linear optimizationKeha, Ahmet B. 01 December 2003 (has links)
No description available.
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A polyhedral study of nonconvex piecewise linear optimizationKeha, Ahmet B., January 2003 (has links) (PDF)
Thesis (Ph. D.)--School of Industrial and Systems Engineering, Georgia Institute of Technology, 2004. Directed by George L. Nemhauser. / Vita. Includes bibliographical references (leaves 91-94).
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On singular perturbation theory for piecewise-linear systemsHeck, Bonnie S. 08 1900 (has links)
No description available.
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Conjugacy classes of the piecewise linear group /Housley, Matthew L., January 2006 (has links) (PDF)
Thesis (M.S.)--Brigham Young University. Dept of Mathematics, 2006. / Includes bibliographical references (p. 30).
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A piecewise linear generalized poisson regression approach to modeling longitudinal frequency dataBorgesi, Jennifer Jo. January 2004 (has links)
Thesis (M.S.)--Duquesne University, 2004. / Title from document title page. Abstract included in electronic submission form. Includes bibliographical references (p. 30).
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