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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
Lederman, Barbara J. – Journal of Computer-Based Instruction, 1975
Useful programming tricks are suggested to allow the reduction of many equations and non-polynomial-like expressions and the subsequent application of the mathematical algorithms. (Author)
Descriptors: Algebra, Algorithms, Computer Programs, Computer Science
Robin, Anthony C. – Mathematics Teaching, 1972
Descriptors: Algebra, Algorithms, Calculus, Manipulative Materials
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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
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Fay, Temple H.; Miller, H. Vincent – Mathematics and Computer Education, 1990
Discusses a numerical technique called the method of adjoints, turning a linear two-point boundary value problem into an initial value problem. Described are steps for using the method in linear or nonlinear systems. Applies the technique to solve a simple pendulum problem. Lists 15 references. (YP)
Descriptors: Algebra, Algorithms, College Mathematics, Higher Education
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Staib, John; Staib, Larry – Mathematics Teacher, 1978
The patterns of the coefficients in the expansion of (x + y +z)n are discussed, and a recursive property is developed as a generalization of the Pascal triangle. (MP)
Descriptors: Algebra, Algorithms, Mathematical Applications, Mathematics
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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
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Pizarro, Antonio – Mathematics Teacher, 1989
Develops a general computer algorithm to obtain a magic square having a number of rows that is a multiple of four. Presents a BASIC program and sample runs. (YP)
Descriptors: Algebra, Algorithms, College Mathematics, Computer Software
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Reiter, Harold; Ritchie, David – College Mathematics Journal, 1989
This article develops an algorithm to find all solutions to the problem, making all sums of a hexagram's nine lines the same. It shows how to exploit the geometric structure of the hexagram and its group of automorphisms. (YP)
Descriptors: Algebra, Algorithms, College Mathematics, Computation
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Knill, George – Mathematics Teacher, 1980
The formula used by the telephone company to determine long distance charges is presented and several sample problems are included. (MP)
Descriptors: Algebra, Algorithms, Enrichment Activities, Geometric Concepts
Pavelle, Richard; And Others – Scientific American, 1981
Describes the nature and use of computer algebra and its applications to various physical sciences. Includes diagrams illustrating, among others, a computer algebra system and flow chart of operation of the Euclidean algorithm. (SK)
Descriptors: Algebra, Algorithms, Astronomy, College Mathematics
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Burke, Paul – Journal of College Admissions, 1990
Argues that the vast majority of adults have no use for the specialized mathematics taught in high schools and required by colleges--algebra, geometry, or calculus. Suggests that colleges should accept applicants who have studied percents, formulas, logic, computer commands, and basic statistics. (TE)
Descriptors: Algebra, Algorithms, Arithmetic, Calculus
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Kalman, Dan – Mathematics Magazine, 1990
Presented is a scheduling algorithm that uses all the busses at each step for any rectangular array. Included are two lemmas, proofs, a theorem, the solution, and variations on this problem. (KR)
Descriptors: Algebra, Algorithms, College Mathematics, Computer Science