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Applications Of The Calculus For Factorial Arrangements And Allied Topics., Mausumi Bose Dr.
Applications Of The Calculus For Factorial Arrangements And Allied Topics., Mausumi Bose Dr.
Doctoral Theses
This thesis deals primarily with the application of the calculus for factorial ar- rangements (Kurkjian and Zelen (1962, 1963)) to various designs. The thesis has been divided into six chapters. We have made extensive use of Kronecker products and various other results from matrix theory. The results in the first two chapters involve the use of projection operators.In the first four chapters, different classes of factorial experiments have been studied by applying the calculus. Chapter 5 deals with another class of designs called repeated measurements designs (RMD's). It has been shown that the calculus for factorial arrangements serves as a …
Connections On Small Vertex Model., R. Srinivasan Dr.
Connections On Small Vertex Model., R. Srinivasan Dr.
Doctoral Theses
This thesis is devoted to the classification of a special class of commuting squares called vertex models.The first chapter is indroductory in nature and is included for the sake of completeness and convenience of reference. It starts with the description of the basic construction and the invariants called the principal and dual graph for an inclusion of II1, factors. After defining a commuting square we describe the special class of commuting squares called vertex model given by an Mn, O Mk, biunitary matrix . Finally we state some results, without proof, about vertex nodels from (KSC).The second chapter in the …