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Herman, Gabor T.; Vitanyi, Paul M. B. – American Mathematical Monthly, 1976
Growth functions involved in mathematical models for biological development are discussed using the algebra of polynomials and matrices. (SD)
Descriptors: Algebra, Algorithms, Biology, College Mathematics

Bartschi, Martin – Information Processing and Management, 1985
Presents a general mathematical framework for information retrieval, in which query evaluation is seen as a mapping from the free term algebra built by query descriptors and weights to the semantic algebra of evaluation value. Competing mathematical models that try to describe how retrieval systems behave are reviewed. (Author/MBR)
Descriptors: Algebra, Algorithms, Evaluation Methods, Information Retrieval

Staib, John – Mathematics Teacher, 1982
An approach to using the method of least squares, a scheme for computing the best-fitting line directly from a set of points, is detailed. The material first looks at fitting a numerical value to a set of numbers. This provides tools for solving the line-fitting problem. (MP)
Descriptors: Algebra, Algorithms, Mathematical Applications, Mathematical Models

Book, Ronald V. – American Mathematical Monthly, 1988
The "word problem" is stated for a given collection. Facts regarding Dehn's Algorithm, definition of Thue systems, a rewriting system, lemmas and corollaries are provided. The situation is examined where the monoid presented by a finite Thue system is a group. (DC)
Descriptors: Abstract Reasoning, Algebra, Algorithms, College Mathematics