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Mathematical Background
Book chapter

Mathematical Background

Manuel Fernandez-Martinez, Juan Luis Garcia Guirao, Miguel Angel Sanchez-Granero and Juan Evangelista Trinidad Segovia
Fractal Dimension for Fractal Structures, pp.1-48
SEMA SIMAI Springer Series, Springer Nature
01/01/2019
DOI: https://doi.org/10.1007/978-3-030-16645-8_1

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
The main purpose of this chapter is to recall some definitions, results, and notations that are useful to develop a new theory of fractal dimension for fractal structures. In this way, we will be focused on quasi-pseudometrics, fractal structures, iterated function systems, and box-counting and Hausdorff dimension topics.

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