Describes a mathematical model used in statistical prediction. Model is derived from known independent continuously variable quantities having the same distribution. (RS)

The probabilities of certain English football teams winning different playoffs are determined. In each case, a mathematical model is fitted to the observed data, assumptions are verified, and the calculations performed. (LS)

Problems involving the use of diagrams to depict plangers'' (in which lines cross a specified number of times) are discussed. (LS)

The basic ideas of the theory of manifolds is illustrated using elementary geometry. (MM)

A brief survey of the mathematics involved in the theory of educational testing. (MM)

Criteria for a reasonable axiomatic system are discussed. A discussion of the historical attempts to prove the independence of Euclids parallel postulate introduces non-Euclidean geometries. Poincare's model for a non-Euclidean geometry is defined and analyzed. (LS)