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dc.contributor.advisorFuller, Derek J.en_US
dc.contributor.authorPage, Lawrence Franken_US
dc.date.accessioned2019-01-09T18:51:51Z
dc.date.available2019-01-09T18:51:51Z
dc.date.issued1971en_US
dc.identifier.urihttp://hdl.handle.net/10504/120920
dc.description.abstractOne of the most perplexing problems confronting Cartographers has been the minimization of distortion associated with the mapping of surfaces from the sphere to the plane. In this thesis the objective is to obtain a conformal map of an open, simply connected region of the world (regarded as a sphere) which minimizes the linear or areal distortion (magnification) in transformed mappings at points in the region. | To achieve this result, an apparently little known theorem of Tchebychef [9, pp. 242] has been employed, which states that the foregoing will be the case when the magnific ation on the boundary of the region to be mapped is constant THEOREM 1. If U is a simply connected region bounded by a twice differentiable curve, then there exists one and up to a similarity transformation of E, only one conformal map projection which minimizes this ratio sup o/inf o. This "best possible" conformal map projection is characterized by the property that its infinitesimal-scale function a(x) is constant along the boundary of U.en_US
dc.language.isoen_USen_US
dc.publisherCreighton Universityen_US
dc.rightsA non-exclusive distribution right is granted to Creighton University and to ProQuest following the publishing model selected above.en_US
dc.titleMinimization of Distortion of Cartographical Mapsen_US
dc.typeThesis
dc.publisher.locationOmaha, Nebraskaen_US
dc.description.noteProQuest Traditional Publishing Optionen_US
dc.contributor.cuauthorPage, Lawrence Franken_US
dc.degree.levelMA (Master of Arts)en_US
dc.degree.disciplineMathematics (graduate program)en_US
dc.degree.nameM.A. in Mathematicsen_US
dc.degree.grantorGraduate Schoolen_US


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