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Leyendekkers, J. V.; Shannon, A. G. – International Journal of Mathematical Education in Science and Technology, 2004
An analysis is made of the role of Fibonacci numbers in some quadratic Diophantine equations. A general solution is obtained for finding factors in sums of Fibonacci numbers. Interpretation of the results is facilitated by the use of a modular ring which also permits extension of the analysis.
Descriptors: Mathematical Concepts, Equations (Mathematics), Numbers, Mathematical Applications
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Ching, Wai-Ki; Fung, Eric S.; Ng, Michael K. – International Journal of Mathematical Education in Science and Technology, 2004
Categorical data sequences occur in many applications such as forecasting, data mining and bioinformatics. In this note, we present higher-order Markov chain models for modelling categorical data sequences with an efficient algorithm for solving the model parameters. The algorithm can be implemented easily in a Microsoft EXCEL worksheet. We give a…
Descriptors: Mathematics, Markov Processes