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Berezowski, Marek – International Journal of Mathematical Education in Science and Technology, 2021
The article shows that even a small number of iterations give a very large length of the Koch Curve. The overall purpose of this work is to show that even a small number of iterations can give a very complex fractal structure. In this case it is the very big length of Koch's curve. As examples, the distance from the Earth to the Moon and from the…
Descriptors: Mathematics Instruction, Geometric Concepts, Measurement Techniques, Mathematical Formulas
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Deakin, Michael A. B. – International Journal of Mathematical Education in Science and Technology, 2010
Many familiar household objects (such as sausages) involve the maximization of a volume under geometric constraints. A flexible but inextensible membrane bounds a volume which is to be filled to capacity. In the case of the sausage, a full analytic solution is here provided. Other related but more difficult problems seem to demand approximate…
Descriptors: Geometric Concepts, Calculus, Mathematics Instruction, Problem Solving
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Ryden, Jesper – International Journal of Mathematical Education in Science and Technology, 2008
Extreme-value statistics is often used to estimate so-called return values (actually related to quantiles) for environmental quantities like wind speed or wave height. A basic method for estimation is the method of block maxima which consists in partitioning observations in blocks, where maxima from each block could be considered independent.…
Descriptors: Simulation, Probability, Computation, Nonparametric Statistics