diplomsko delo
Simona Lončar (Author), Dušan Pagon (Mentor)

Abstract

V diplomskem delu bomo definirali afine preslikave ali transformacije in njihove osnovne lastnosti. Poudarek bo na skrčitvah in njihovih negibnih točkah. S pomočjo ugotovljenih lastnosti teh preslikav bomo vpeljali družine iterirajočih afinih transformacij in pri tem spoznali nekaj primerov limitnih množic, ki jih dobimo z njihovo uporabo.

Keywords

matematika;afine preslikave;transformacije;skrčitev;negibna točka;družine;limitne množice;diplomska dela;

Data

Language: Slovenian
Year of publishing:
Source: Maribor
Typology: 2.11 - Undergraduate Thesis
Organization: UM FNM - Faculty of Natural Sciences and Mathematics
Publisher: [S. Lončar]
UDC: 51(043.2)
COBISS: 17474824 Link will open in a new window
Views: 1856
Downloads: 131
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Other data

Secondary language: English
Secondary title: FAMILIES OF ITERATED AFFINE TRANSFORMATIONS
Secondary abstract: In this diploma work we will define affine transformations and their basic properties. The stress will be on contractions and their fixed points. In terms of described properties of affine mappings, we will introduce families of iterated affine transformations. We will also list some examples of limit sets, which we get with their use.
Secondary keywords: Affine transformations;contraction;fixed point;families of iterated affine transformations;limit sets.;
URN: URN:SI:UM:
Type (COBISS): Undergraduate thesis
Thesis comment: Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages: X, 40 f.
Keywords (UDC): mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID: 18355
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