In e-learning systems, the tutors play many roles and carry out several tasks that differ from one system to another. The activity of tutoring is influenced by many factors. One factor among them is the assignment of the appropriate profile to the tutor. For this reason, the authors propose a new approach for modeling and evaluating the function…

Describes an empirical Bayes method for predicting future use of library materials. Data from the University of Saskatchewan are used to illustrate practical applications of the model for simple prediction, prediction profiles, and prediction intervals. (21 references) (MES)

In the direction-dependent approach to location modeling developed herein, the distance within which a point of demand can find service from a facility depends on direction of measurement. The utility of the approach is illustrated through an application to groundwater remediation. (Author/MDH)

Describes a technique whereby qualitatively correct models of differentially rotating degenerate stars may be constructed by simple methods available to undergraduate students. (Author/JN)

Introduces a model for estimating the amount of revenue a typical student will bring to an institution of higher education. The model uses event history analysis to analyze the length of time a typical student will remain enrolled, and then uses this estimate in combination with tuition numbers to arrive at revenue estimates. (EV)

Proposes and explains a modification of the mixed Poisson model for library circulations which takes into account the periods when a book is out on loan and therefore unavailable for borrowing. Highlights include frequency of circulation distributions; negative binomial distribution; and examples of the model at two universities. (Contains 34…

Analyzes student progress within the framework of models of choice based on experiences at the Open University (United Kingdom). Investigates why students choose to continue studying in light of their success or failure in previous study and suggests that mathematical models need to be further developed to assist in this field. (Author/LRW)

Discussed is the classical partition function for the ideal gas and how it differs from the exact value for bosons or fermions in the classical regime. The differences in the two values are negligible hence the classical treatment leads in the end to correct answers for all observables. (Author/DS)

A solution of the convection-dispersion equation is used to describe the solute breakthrough curves generated in the demonstrations in the companion paper. Estimation of the best fit model parameters (solute velocity, dispersion, and retardation) is illustrated using the method of moments for an example data set. (Author/MDH)

Presented are forms of harmonic oscillator attraction and Coulomb wave functions which can be explicitly constructed and which lead to numerical results for the energy eigenvalues and eigenfunctions of the atomic system. The Schrodinger equation and its solution and specific cases of muonic atoms illustrating numerical calculations are included.…

A model is described that allows for assessment of alternative funding formulas for postsecondary education systems. Emphasis is on the extent to which marginal funding proposals can offer a viable alternative to traditional linear enrollment driven formulas. The model operates at a statewide level but may be useful at other levels. (MSE)

The viability of Freeman's model, which uses three equations to analyze causative demand and supply determinants, is examined as a management tool for explaining and predicting enrollments and the job market using macro and micro cases. (MSE)

The design of a faculty salary structure that gives weight both to professional concerns about merit and to personal concerns of salary improvement in the course of an academic career is illustrated. Commitment to quality, resources, and leadership are seen as essential to this model's success. (MSE)

Looking back on enrollment trends in higher education in Britain since 1800, this study examines the trend toward expansion and the philosophy behind such expansion. A statistical model is developed for enrollment trends, and recent literature on enrollment is examined in light of the model presented. (MSE)

Presents a quantitative method for implementing management by objectives (MBO) in library technical services. Several mathematical formulas show the relationships between such variables as: (1) volume of works; (2) total materials budget; (3) number of staff; (4) working hours; (5) productivity; and (6) tasks. (four references) (MES)