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Exploration of the fractal dimension

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Exploration of the fractal dimension

Khalil, André (1998) Exploration of the fractal dimension. Masters thesis, Concordia University.

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Abstract

This thesis studies the theoretical and experimental determination of the fractal dimension of different sets. It contains both pure and applied topics. After establishing the ground rules, we look at ways to calculate the fractal dimension of fractal interpolation functions and we end the study with an experiment consisting in the estimation of the fractal dimension of two graphs representing the activities of two companies at the Toronto Stock Exchange. In fact, we will see that there is a certain cohesion between the fractal dimension of a cloud of points and the absolute value of the slope of the regression line approximating the same cloud of points.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Khalil, André
Pagination:vi, 68 leaves : ill. ; 29 cm.
Institution:Concordia University
Degree Name:Theses (M.Sc.)
Program:Mathematics and Statistics
Date:1998
Thesis Supervisor(s):Gora, Pawel
ID Code:621
Deposited By:Concordia University Libraries
Deposited On:27 Aug 2009 13:13
Last Modified:08 Dec 2010 10:15
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