How many fractals exist in nature or the virtual world In this work, we partially answer the second question using Mandelbrots fundamental definition of fractals and their quantities of the Hausdorff dimension and Lebesgue measure. We prove the existence of beth-two of virtual fractals with a Hausdorff dimension of a bivariate function of them and the given Lebesgue measure. The question remains unanswered for other fractal dimensions.Comment: 10 page
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.This thesis explores the Haus...
In this paper, we prove the identity Hausdorff dimension, FRdand :[0,1][0,1]din a more general setti...
How many fractals exist in nature or the virtual world? In this paper, we partially answer the secon...
How many fractals exist in nature or the virtual world? In this paper, we partially answer the secon...
In this paper, we present a second partial solution for the problem of cardinality calculation of th...
Abstract“Percolation dimension” is introduced in this note. It characterizes certain fractals and it...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
openIn this thesis we introduce the concepts of Hausdorff dimensions and box-counting (or Minkowski-...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
The Weierstrass-Mandelbrot (W-M) function was first used as an example of a real function which is c...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Fractal geometry consists in the study of shapes established by simple or complex re cursive process...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.This thesis explores the Haus...
In this paper, we prove the identity Hausdorff dimension, FRdand :[0,1][0,1]din a more general setti...
How many fractals exist in nature or the virtual world? In this paper, we partially answer the secon...
How many fractals exist in nature or the virtual world? In this paper, we partially answer the secon...
In this paper, we present a second partial solution for the problem of cardinality calculation of th...
Abstract“Percolation dimension” is introduced in this note. It characterizes certain fractals and it...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
openIn this thesis we introduce the concepts of Hausdorff dimensions and box-counting (or Minkowski-...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
The Weierstrass-Mandelbrot (W-M) function was first used as an example of a real function which is c...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Fractal geometry consists in the study of shapes established by simple or complex re cursive process...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.This thesis explores the Haus...
In this paper, we prove the identity Hausdorff dimension, FRdand :[0,1][0,1]din a more general setti...
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