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Introduction to fractal dimension

Master of Science / Department of Mathematics / Hrant Hakobyan / When studying geometrical objects less regular than ordinary ones, fractal analysis becomes a valuable tool. Over the last 40 years, this small branch of mathematics has developed extensively. Fractals can be defined as those sets which have non-integer Hausdorff or Minkowski dimension. In this report, we introduce certain definitions of fractal dimensions, which can be used to measure a set’s fractal degree. We introduce Minkowski dimension and Hausdorff dimension and explore some examples where they coincide, as well as other examples where they do not.

Identiferoai:union.ndltd.org:KSU/oai:krex.k-state.edu:2097/39312
Date January 1900
CreatorsAburamyah, Ghder
Source SetsK-State Research Exchange
Languageen_US
Detected LanguageEnglish
TypeReport

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