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Abstract

This chapter recalls in Sect. 2.1 the basic notions from fractal theory which are necessarily for understanding the concepts introduced throughout the book. The main mathematical concepts and definitions of fractals and multifractals that arise from set theory are considered in Sects. 2.2 and 2.3, with an emphasis on the interpretation methodology. Several general methods for generating a rich variety of fractal structures are reviewed in Sect. 2.4, and some examples will be used in Chap. 4 to calculate the small-angle scattering intensity.

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Correspondence to Eugen Mircea Anitas .

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Anitas, E.M. (2019). Fractals: Definitions and Generation Methods. In: Small-Angle Scattering (Neutrons, X-Rays, Light) from Complex Systems. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-26612-7_2

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