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Peer reviewedWalters, A.; And Others – Management Science, 1976
Describes a multiperiod programming model designed to aid college administrators in planning and decision-making for a five-year horizon. The model includes staffing goals, career constraints, teaching and course loads, tenure constraints, and budget constraints. Methods of using the model are discussed and a small example is presented. (Author/JG)
Descriptors: College Administration, Educational Planning, Higher Education, Linear Programing
Engel, Joseph H.; And Others – Engineering Education, 1976
Describes a combination of lectures, experiments, and analysis with the aid of remote computer terminals that helps the engineering student grasp the fundamentals and implications of a mathematical model applied to a particular job situation. (MLH)
Descriptors: Computer Assisted Instruction, Course Descriptions, Engineering, Engineering Education
Peer reviewedKaiser, Henry F.; Serlin, Ronald C. – Applied Psychological Measurement, 1978
A least-squares solution for the method of paired comparisons is given. The approach provokes a theorem regarding the amount of data necessary and sufficient for a solution to be obtained. A measure of the internal consistency of the least-squares fit is developed. (Author/CTM)
Descriptors: Higher Education, Least Squares Statistics, Mathematical Models, Measurement
Peer reviewedde Caprariis, Pascal – Journal of College Science Teaching, 1978
Presents mathematical models appropriate to describing and analyzing competitive interactions in an ecological system. (MA)
Descriptors: Biology, College Science, Ecological Factors, Ecology
Peer reviewedMcDaniel, Suzanne T. – American Journal of Physics, 1979
A simplified derivation of the parabolic approximation to the acoustical wave equation is presented. Exact solutions to this approximate equation are compared with solutions to the wave equation to demonstrate the applicability of this method to the study of underwater sound propagation. (Author/BB)
Descriptors: Acoustical Environment, Acoustics, Earth Science, Environmental Research
Peer reviewedMurch, G. E. – American Journal of Physics, 1979
A simple Monte Carlo method is used to simulate an atomistic model of solid-state diffusion. This approach illustrates some of the principles of diffusion and in particular verifies a solution to Fick's second law. The role and calculation of the diffusion correlation factor is also discussed. (Author/BB)
Descriptors: Chemistry, Kinetic Molecular Theory, Kinetics, Mathematical Models
Miley, Alan D. – Evaluation Quarterly, 1978
The split-population exponential design suggested by Maltz and McCleary to predict parolee recidivism (TM 502 998) was applied to discharged psychiatric inpatients. Parameter estimates changed systematically as greater and greater observation time was allowed in the computation, thus limiting extrapolability. (Author/GDC)
Descriptors: Data Analysis, Institutionalized Persons, Mathematical Models, Prediction
Peer reviewedBent, Henry A. – Journal of College Science Teaching, 1977
Discusses how the International System (SI) abbreviations for numerical factors designated as prefixes may be treated in quantity calculus as free-standing algebraic symbols. Illustrative examples are also presented. (HM)
Descriptors: Calculus, Geometry, Instruction, Instructional Materials
Peer reviewedBrantingham, Patricia L.; Brantingham, Paul J. – Environment and Behavior, 1978
Presents a mathematical technique for building perceptual models of urban areas. Uses techniques to model perceptual neighborhoods within a city and to explore how residential burglary rates vary between the interiors and borders of the neighborhood. (Author/MA)
Descriptors: Behavior, Environmental Influences, Mathematical Models, Psychological Studies
Peer reviewedSanchez, Bonnie M. – Community/Junior College Research Quarterly, 1978
A selected and annotated bibliography of ERIC documents describing community college enrollment projection methods, including a demographic planning model, a modified Delphi technique, a cohort survival model, the age participation technique, and the bond program projection technique. (Author/AC)
Descriptors: Annotated Bibliographies, Community Colleges, Enrollment Projections, Mathematical Models
Peer reviewedBlair, R. Clifford; Higgings, J. J. – American Educational Research Journal, 1978
Kaufman and Sweet's article on the regression analysis of unbalanced factorial designs (EJ 111 767) is reviewed. A number of errors are noted, and relevant literature is cited. (GDC)
Descriptors: Least Squares Statistics, Mathematical Models, Multiple Regression Analysis, Research Design
Peer reviewedSirotnik, Kenneth; Wellington, Roger – Journal of Educational Measurement, 1977
A single conceptual and theoretical framework for sampling any configuration of data from one or more population matrices is presented, integrating past designs and discussing implications for more general designs. The theory is based upon a generalization of the generalized symmetric mean approach for single matrix samples. (Author/CTM)
Descriptors: Analysis of Variance, Data Analysis, Item Sampling, Mathematical Models
Peer reviewedChavda, L. K. – American Journal of Physics, 1978
A complete matrix formulation of the theory of small oscillations is presented. Simple analytic solutions involving matrix functions are found which clearly exhibit the transients, the damping factors, the Breit-Wigner form for resonances, etc. (BB)
Descriptors: College Science, Graduate Study, Higher Education, Mathematical Models
Peer reviewedLoos, J. S.; Dawson, S. L. – American Journal of Physics, 1978
Some of the properties of electromagnetic showers observed in an experimental study are illustrated. Experimental data and results from quantum electrodynamics are discussed. Data and theory are compared using computer simulation. (BB)
Descriptors: College Science, Computers, Electricity, Energy
Gardner, Martin – Scientific American, 1978
Describes the life and work of Charles Peirce, U.S. mathematician and philosopher. His accomplishments include contributions to logic, the foundations of mathematics and scientific method, and decision theory and probability theory. (MA)
Descriptors: Cognitive Processes, Learning Activities, Logical Thinking, Mathematical Logic


