Mathematics Exchange
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2020-10-24T09:35:01ZCharacterization of a Family of Cubic Dynamical Systems
http://cardinalscholar.bsu.edu/handle/123456789/202376
Characterization of a Family of Cubic Dynamical Systems
Kothari, Shan
Motivated by the fact that cubic maps have found potential appli- cations to modeling of biological and physical processes, we examine a family of discrete, non-linear dynamical systems comprising one-parameter real variable cubic polynomials of a certain form. We examine and classify their xed points and 2-cycles over various parametric domains. We also study their bifurcation diagrams and use a variety of techniques to analyze their chaotic behavior.
Article published in Mathematics Exchange, 8(1), 2011.
2011-01-01T00:00:00ZGraphical Modeling
http://cardinalscholar.bsu.edu/handle/123456789/202375
Graphical Modeling
Afriyie, Prince; Begum, Munni
Graphical models have been an area of active research since the beginning of the twentieth century. Graphical models have wide scope of ap- plicability in various scientic elds. This paper presents applications of graph- ical models with a focus on Bayesian networks. An exploration on the basics of graph theory and probability theory which tie together to form graphical models is outlined. Markov properties, graph decompositions, and their im- plications to inference are discussed. An algorithmic software for graphical models, Netica is used to demonstrate an inference problem in medical di- agnostics. We address instances where parameters in the model are unknown, through maximum likelihood method if analytically feasible, but numerical and Markov Chain Monte Carlo methods are warranted otherwise.
Article published in Mathematics Exchange, 8(1), 2011.
2011-01-01T00:00:00ZA Coarse Invariant for all Metric Spaces
http://cardinalscholar.bsu.edu/handle/123456789/202372
A Coarse Invariant for all Metric Spaces
DeLyser, M.; LaBuz, B.; Wetsell, B.
In [2] an invariant of metric spaces under bornologous equivalences is defined. In [3] this invariant is extended to coarse equivalences. In both papers the invariant is defined for a class of metric spaces called sigma stable. This paper extends the invariant to all metric spaces and also gives an example of space that is not sigma stable.
Article published in Mathematics Exchange, 8(1), 2011.
2011-01-01T00:00:00ZA Word from the Editor
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A Word from the Editor
Mohammed, Ahmed
The editorial team of the Mathematics Exchange is pleased to present this latest issue which contains five articles on diverse areas of Mathematics Sciences.
Article published in Mathematics Exchange, 8(1), 2011.
2011-01-01T00:00:00Z