With the rise in popularity of social media and e-commerce platforms, "discrete math" is at the heart of our online experiences, playing a front-end role in the recommendation of what to click, watch, or buy, or who to follow or friend, as well as a back-end role in data storage, access, and transfer. This thesis focuses on two such…

The behavior of focus samples central to the multiple-look model of Trabasso and Bower is examined by three methods. First, exact probabilities of success conditional upon a certain brief history of stimulation are determined. Second, possible states of the organism during the experiment are defined and a transition matrix for those states…

As part of a project designed to construct a mathematical model of the operation of an academic library, a research team determined the usefulness of a quantitative approach to making decisions about the number of copies of each item that a university library should provide. Using the reserve collection of the University of Lancaster Library as a…

This paper describes the method used by Tracz and Burtnyk for the estimation of future salary schedules in the Ontario secondary school system. The application of the algorithm to the Ontario secondary school system predicts a possible breakdown in the fixed step salary schedule at about 1980. This situation results primarily because of the…

The purpose of the study was to develop a linear programming model to be used for prediction, test the accuracy of the predictions, and compare the accuracy with that produced by curvilinear multiple regression analysis. (Author)

The authors describe an extension that has been made to and subsequently incorporated into the system known as Teacher Cost Models. This approach -- a dollar flow analysis -- identifies and quantifies the factors that contribute to dollar changes in the ON GRID teacher wage-bill from one year to the next. The methodology is applicable at both the…