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A Study Of The Planned Unit Development And Its Application To A Site In Cache Valley, Margaret Ann Mullins May 1976

A Study Of The Planned Unit Development And Its Application To A Site In Cache Valley, Margaret Ann Mullins

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The thesis proposed deals with the design of a Planned Unit Development on a site located in Cache Valley. Included in the study is research of existing PUDs, determining the aspects in which they are successful and those in which they are unsuccessful. Analysis of a site with respect to physical characteristics and aesthetic characteristics will be undertaken with previously compiled data. Thirdly, the given program will be analyzed with respect to the land uses included and their compatibility to the site. The conclusion of the thesis will be the completed master plan, with additional schematic drawings illustrating and analyzing …


Interpretation And Application Of Elements Of Differential Geometry And Lie Theory, James R. Brannan May 1976

Interpretation And Application Of Elements Of Differential Geometry And Lie Theory, James R. Brannan

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Basic concepts of differential geometry and Lie theory are introduced. Lie transformation groups are applied to linear systems of differential equations and the problem of describing rigid body orientation. Linear Hamiltonian systems are then treated as a Lie system of differential equations. This theory is applied to a particular Hamiltonian system arising from a problem in control theory, the linear state regulator problem.