Cantor sets
Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator
... In this manuscript, we consider that the fractional complex transform method is derived from the local fractional differential operator, which is set up on fractals. The obtained results on Cantor sets are ...
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Local fractional homotopy analysis method for solving non differentiable problems on Cantor sets
... In this paper, we introduced a modified version of the well-known homotopy analysis method (HAM) called the local fractional homotopy analysis method (LFHAM) for solv- ing non-differential models arising on Cantor ...
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Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets : a hundred decimal digits for the dimension of E2
... defined Cantor sets, us- ing periodic points of the underlying dynamical system, can be used to establish completely rigorous high accuracy bounds on the ...for Cantor sets consisting of ...
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Unique expansions and intersections of Cantor sets
... If t has countably many α -expansions, then by the countable stability of the Hausdorff dimension we would have equality in (5.3).. In the case where t has a continuum of α -expansions i[r] ...
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Unique expansions and intersections of Cantor sets
... In Section 2 we recall the necessary preliminaries from expansions in non-integer bases, and recall an important result of [18] that connects the dimension of Γα ∩Γα +t with the frequenc[r] ...
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DNA Sequences with Forbidden Words and the Generalized Cantor Set
... subsquares. Cantor sets are created in one dimension in [ ] 0,1 while Sierpinski sets are con- structed in two dimension within [ ] [ ] 0,1 × 0,1 ...generalized Cantor sets into the ...
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An Exploration Of The Generalized Cantor Set
... typical Cantor set into two distinct subsets, the portion of the set in 0, 1/3 and the portion in 2 3, 1 , we see that each of these pieces resembles the original Cantor ...generalized Cantor ...
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Hausdorff Measures and Hausdorff Dimensions of the Invariant Sets for Iterated Function Systems of Geometric Fractals
... the Cantor set and formulate iterated function system with probabilities of the generalized Cantor sets and also show their invariant measures using Markov operator and Barnsley-Hutchison ...
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Lebesgue Measure of Generalized Cantor Set
... The Cantor set is the prototypical fractal [2]. The Cantor sets were discovered by the German Mathematician George Cantor in the late 19th to early 20th centuries (1845-1918) ...the ...
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Central limit theorems for the spectra of classes of random fractals
... a Cantor set in the unit interval, so can be thought of as a sequence of intervals of decreasing length ...for Cantor sets constructed via random iterated function systems, the second order term due ...
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Hausdorff dimension of univoque sets and Devil's staircase
... Non-integer bases, Cantor sets, β -expansion, greedy expansion, quasi-greedy expansion, unique expansion, Hausdorff dimension, topo- logical entropy, self-similarity.. 1..[r] ...
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Cantor Type Fixed Sets of Iterated Multifunction Systems Corresponding to Self Similar Networks
... Proof. We know that ∗ n and n∗ are constructed by Banach-type functions, so there exists a unique fixed set of them. We showed in the proof of Theorem 1 that the IMS constructed by these IFS can be easily described ...
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Cantor Digitalis: chironomic parametric synthesis of singing
... 4 Voice dimensions to parameter mapping In this section, the mapping between voice dimensions and synthesis parameters is detailed. Recall that voice dimensions are managed by the actions of the player on the chironomic ...
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More on vague sets
... fuzzy sets is a strong mathematical tool to deal with the ...fuzzy sets. Gau and Buehrev (1993) introduced the concept of vague sets and it was shown that a vague set is more expressive in capturing ...
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Box Dimensions of Two Dimensional Cantor like Sets and Special Property of Cantor like Sets Similar to Sets of Positive Measure
... generalized Cantor like sets S. The two dimensional Cantor like sets S have been constructed in [3], for any sequence { } with 0 < < 1 with the help of sequence of sets { } of ...
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Fractal multiwavelets related to the cantor dyadic group
... Other wavelet systems with a tree algorithm with the same structure include certain compactly supported orthogonal multiwavelets in the linear double-knot spline space S 1,2 described in[r] ...
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An orthonormal system on the construction of the generalized cantor set
... n The Cantor N, n contains 2 closed Interval each of length 3 For each n set can be associated with a monotone non-decreaslng continuous function Lebesgue function and defined by the fol[r] ...
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Transmittance and Fractality in a Cantor-Like Multibarrier System
... Abstract—The transmittance is studied for a Cantor-like multibarrier system. The calculation are made in the framework of effective mass theory. Some typical values of effective masses and potentials are used in ...
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Decision problems in groups of homeomorphisms of Cantor space
... The groups T and V were the first discovered examples of finitely presented infinite simple groups, whilst Thompson’s group F , also finitely presented, has a simple derived subgroup. Groups generated by automata are a ...
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On Locally b#-Closed Sets and Weakly b#-Closed Sets
... closed sets was introduced by ...open sets with nearly open sets and generalized open sets and by replacing closed sets with nearly closed sets and generalized closed ...-open ...
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