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Self-similar groups in the sense of an iterated function system and their properties
(Academic Press Inc Elsevier Science, 2013)
The notion of self-similarity in the sense of iterated function system (IFS) for compact topological groups is given by S. Kocak in Definition 3. In this work, first we give the definition of strong self-similar group in ...
An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation
(Scientific Technical Research Council Turkey-Tubitak, 2018)
The computation of the distance between any two points of the Sierpinski gasket with respect to the intrinsic metric has already been investigated by several authors. However, to the best of our knowledge, in the literature ...
Geodesics of the Sierpinski Gasket
(World Scientific Publ Co Pte LTD, 2018)
In this paper, we examine the number of geodesics between two points of the Sierpinski Gasket (S) via code representations of the points and as a main result we show that the maximum number of geodesics between different ...
An Iterated Function System for the Closure of the Adding Machine Group
(World Scientific Publ Co Pte LTD, 2015)
In this paper, first we equip the automorphism group of the p-ary rooted tree X* with a natural metric and define a family of contractions on Aut(X*). Then, we construct an iterated function system (IFS) whose attractor ...
On matrix rings with the SIP and the Ads
(Scientific Technical Research Council Turkey-Tubitak, 2018)
In this paper, matrix rings with the summand intersection property (SIP) and the absolute direct summand (ads) property (briefly, SA) are studied. A ring R has the right SIP if the intersection of two direct summands of R ...
Some Interesting Code Sets of the Sierpinski Triangle Equipped with the Intrinsic Metric
(Centre Environment Social & Economic Research Publ-Ceser, 2018)
Many different characteristics of the Sierpinski triangle, which is one of the most popular examples of fractals, have been the subject of research for various studies in the recent years. To define the intrinsic metric ...
On Some Finite Hyperbolic Spaces
(Charles Babbage Res Ctr, 2012)
Let pi be a finite projective plane of order n. Consider the substructure pi(n+2) obtained from pi by removing n + 2 lines (including all points on them) no three are concurrent. In this paper, firstly, it is shown that ...
Existence of concave symmetric positive solutions for a three-point boundary value problems
(Springer International Publishing Ag, 2014)
In this paper, we investigate the existence of triple concave symmetric positive solutions for the nonlinear boundary value problems with integral boundary conditions. The proof is based upon the Avery and Peterson fixed ...
GAME CHROMATIC NUMBER OF (WnP2)-P-center dot center dot
(Editura Bibliotheca-Bibliotheca Publ House, 2016)
In this paper we find an exact value for the game chromatic number of the Cartesian product graph (WnP2)-P-center dot center dot of two graphs, n-wheel W-n and the path graph P-2. This extends a previous work of Sia on the ...
The comparison of mechanical behavior of MgO-MgAl2O4 with MgO-ZrO2 and MgO-MgAl2O4-ZrSiO4 composite refractories
(Elsevier Sci LTD, 2012)
Mechanical properties of different compositions obtained from the additions of 5, 10, 20 and 30 wt.% zircon (ZrSiO4) into the MgO-spinel composite refractories and ZrO2 into MgO have been examined, the variations that ...