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Title:
DRUŽINE ITERIRAJOČIH AFINIH TRANSFORMACIJ
Authors:
ID
Lončar, Simona
(
Author
)
ID
Pagon, Dusan
(
Mentor
)
More about this mentor...
Files:
UNI_Loncar_Simona_2010.pdf
(489,86 KB)
MD5: 205E885378350BB155A8C484F49E07E8
PID:
20.500.12556/dkum/87abd995-a112-452c-9105-8b6a445abc74
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
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:
Afine preslikave ali transformacije
,
skrčitev
,
negibna točka
,
družine iterirajočih afinih transformacij
,
limitne množice.
Place of publishing:
Maribor
Publisher:
[S. Lončar]
Year of publishing:
2010
PID:
20.500.12556/DKUM-13148
UDC:
51(043.2)
COBISS.SI-ID:
17474824
NUK URN:
URN:SI:UM:DK:EHTCUQPD
Publication date in DKUM:
05.03.2010
Views:
2569
Downloads:
167
Metadata:
Categories:
FNM
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Secondary language
Language:
English
Title:
FAMILIES OF ITERATED AFFINE TRANSFORMATIONS
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.
Keywords:
Affine transformations
,
contraction
,
fixed point
,
families of iterated affine transformations
,
limit sets.
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