This paper has designed a professional and practical SIMD computer mathematical model based on the SIMD physical machine model combined with the variable addition method. Furthermore, the model is applied in image collection, processing, and display operations, and a SIMD data parallel image processing system is finally established by absorbing…

We describe the development of a course to teach modeling and mathematical analysis skills to students of biology and to teach biology to students with strong backgrounds in mathematics, physics, or engineering. The two groups of students have different ways of learning material and often have strong negative feelings toward the area of knowledge…

The results substantiate Williamson's hypothesis that the M-form of organization is superior to the U-form of organization. For each of the two levels of decomposability of technology, the M-form yields higher profit solutions than the U-form. (Author/IRT)

POLYFACT is a learning program that attempts to factor multivariable polynomials. The program has been successful in factoring polynomials (in simplified form) with a maximum of 84 terms, each term consisting of as many as five variables and a maximum degree of 67. The complexity of this learning task placed unusual requirements on the…

The study of the dynamics of physical systems is of importance to all engineering students. LSSP, a Linear System Simulation Program, is used to study the behavior of physical phenomena and systems which may be represented to a good degree of approximation by linear models. Emphasis is placed upon the unity resulting from the mathematical…

A new heuristic factorization scheme uses learning to improve the efficiency of determining the symbolic factorization of multivariable polynomials with interger coefficients and an arbitrary number of variables and terms. The factorization scheme makes extensive use of artificial intelligence techniques (e.g., model-building, learning, and…

This paper discusses a model of information storage and retrieval, the k-d tree (Bentley, 1975), a binary, hierarchical tree with multiple associate terms, which has been explored in computer research, and it is suggested that this model could be useful for describing human cognition. Included are two models of human long-term memory--networks and…

Presented is a technical report concerning the use of a mathematical model describing certain aspects of the duplication and selection processes in natural genetic adaptation. This reproductive plan/model occurs in artificial genetics (the use of ideas from genetics to develop general problem solving techniques for computers). The reproductive…

The computational complexity of a formal process for the construction of term classes for information retrieval is examined. While the process is proven to be difficult computationally, heuristic methods are applied. Experimental results are obtained to illustrate the maximum possible improvement in system performance of retrieval using the formal…

A project was developed to link together the computer and an operations research technique (goal programming) and to bring them to bear on problems in improving vocational education planning. The process involves using the computer to solve a mathematical model designed to determine trade-off values among alternative goals and plans. Simulating…

Several models for problem solving are discussed, and the idea of a heuristic frame is developed. This concept provides a description of the evolution of problem-solving skills in terms of the growth of the number of algorithms available and increased sophistication in their use. The heuristic frame model is applied to two sets of physical…

The most time consuming and expensive step in developing expert systems is knowledge acquisition (KA), and it is important to determine how the limited resources for acquiring knowledge should be allocated across different sources. This paper develops a model that determines how KA resources should be spent and how such a model may be used. (23…

A more familiar and efficient method for estimating the parameters of Cason and Cason's model was examined. Using a two-step analysis based on linear regression, rather than the direct search interative procedure, gave about equally good results while providing a 33 to 1 computer processing time advantage, across 14 cohorts of junior medical…

General documentation for the Enrollment Projection Model used by the Maryland Council for Higher Education (MCHE) is provided. The manual is directed toward both the potential users of the model as well as others interested in enrollment projections. The first four chapters offer administrators or planners insight into the derivation of the…

The purpose of the research described in the report is twofold. First, it is to analyze the relative benefits and costs of on-line computerized placement systems. The techniques developed for such an analysis which might be useful in evaluating other manpower programs are presented. Second, it is to provide a prototype model which shows how…