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Full-Text Articles in Physical Sciences and Mathematics
Perturbed Hamiltonian System Of Two Parameters With Several Turning Points, Myeong Joon Ann
Perturbed Hamiltonian System Of Two Parameters With Several Turning Points, Myeong Joon Ann
Dissertations
No abstract provided.
Surface Models Of Finite Geometries, Ramon Manuel Figueroa-Centeno
Surface Models Of Finite Geometries, Ramon Manuel Figueroa-Centeno
Dissertations
The standard non-Euclidean geometries, hyperbolic geometry and elliptical geometry, both arise by negating the parallel postulate of Euclid. Both these geometries share with Euclidean geometries an infinitude of points and lines. But also possible are many finite geometries. Among these are the class of projective geometries PG(m,q) of projective dimension m (m > 2) and the k-configurations. These mathematical objects, although primarily geometric in nature, provide related structures of combinatorial interest: block designs. These have applications in scheduling problems and the design of experiments for statistical analysis. Recently, A. T. White has added a topological flavor to the study …