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Alexey L. Voskov – International Journal of Mathematical Education in Science and Technology, 2024
QR decomposition is widely used for solving the least squares problem. However, existing materials about it may be too abstract for non-mathematicians, especially STEM students, and/or require serious background in linear algebra. The paper describes theoretical background and examples of GNU Octave compatible MATLAB scripts that give relatively…
Descriptors: Mathematics, Algorithms, Data Science, Mathematical Concepts

Abrahams, Julia – Information Processing & Management, 1994
Discusses the minimum average codeword length coding under the constraint that the codewords are monotonically nondecreasing in length. Bounds on the average length of an optimal monotonic code are derived, and sufficient conditions are given such that algorithms for optimal alphabetic codes can be used to find the optimal monotonic code. (six…
Descriptors: Algorithms, Coding, Illustrations, Information Theory
Rigdon, Steven E.; Tsutakawa, Robert K. – 1981
Estimation of ability and item parameters in latent trait models is discussed. When both ability and item parameters are considered fixed but unknown, the method of maximum likelihood for the logistic or probit models is well known. Discussed are techniques for estimating ability and item parameters when the ability parameters or item parameters…
Descriptors: Algorithms, Latent Trait Theory, Mathematical Formulas, Mathematical Models

Savoy, Jacques – Information Processing & Management, 1997
Discussion of evaluation methodology in information retrieval focuses on the average precision over a set of fixed recall values in an effort to evaluate the retrieval effectiveness of a search algorithm. Highlights include a review of traditional evaluation methodology with examples; and a statistical inference methodology called bootstrap.…
Descriptors: Algorithms, Evaluation Methods, Information Retrieval, Mathematical Formulas

Eddy, William F.; Mockus, Audris – Journal of the American Society for Information Science, 1994
Describes animation algorithms for creating smooth functions of time- and space-varying phenomenon. The incidence of the disease mumps from 1968-88 in the United States is used to demonstrate the algorithms. Figures that illustrate the findings are included. (14 references) (KRN)
Descriptors: Algorithms, Animation, Display Systems, Functions (Mathematics)

Hoppe, H. Ulrich – Journal of Artificial Intelligence in Education, 1994
Examines the deductive approach to error diagnosis for intelligent tutoring systems. Topics covered include the principles of the deductive approach to diagnosis; domain-specific heuristics to solve the problem of generalizing error patterns; and deductive diagnosis and the hypertext-based learning environment. (Contains 26 references.) (JLB)
Descriptors: Algorithms, Artificial Intelligence, Computer Assisted Instruction, Deduction

Lynch, Clifford A. – Journal of the American Society for Information Science, 1988
Describes the unique reliability problems of very large databases that necessitate specialized techniques for hardware problem management. The discussion covers the use of controlled partial redundancy to improve reliability, issues in operating systems and database management systems design, and the impact of disk technology on very large…
Descriptors: Algorithms, Computer System Design, Database Management Systems, Databases