fractal


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Related to fractal: Fractal dimension
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Words related to fractal

(mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry

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Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
References in periodicals archive ?
Fractal patterns can be easily linked with financial markets.
The Authors tried to reduce the scale of observation and detect the phenomenon by applying the vision of fractal finance.
FRACTALS--A SMART FINANCIAL TOOL TO ASSESS BUSINESS MANAGEMENT DECISIONS
The proposed fractal tree-shaped MSA has measurements of L x W is acquired to the resonant antenna at multiple frequency appeared in Figure 2, which is printed on the substrate of dimensions 80 L x 100 W x 1.6h [mm.sup.3].
Figure 2 shows two fractal tree MSA with the specification given below.
Fusion Execution of NaCl on Tree-Shaped MSA
Notice that for a fixed value of the scale M, at a fixed level n of the fractal structure, the equation above is a well-defined continuous function and a simple analysis would lead one to conclude that dimension D is not fractal but reflects the topology of the phase-space where the system is embedded.
In the present work, the scaling properties of the fractal structure will be investigated in the light of renormalization theory.
Renormalization Group Equation for Tsallis Statistics
The research mentioned above involving the fractal model of normal contact stiffness is applicable for a multitude of mechanical joint interface.
Fractal Model of Normal Contact Stiffness between Two Spheres of Joint Interfaces with Simulation
In the second phase, the urban sprawls in 1989, 2000 and 2013 are examined using Shannon's entropy and fractal analysis, and the changes that occurred in the periods 1989-2000 and 2000-2013 are determined.
ASSESSMENT OF URBAN SPRAWL USING SHANNON'S ENTROPY AND FRACTAL ANALYSIS: A CASE STUDY OF ATAKUM, ILKADIM AND CANIK (SAMSUN, TURKEY)
where [sigma] is the standard deviation (rms height), C is the amplitude control factor, N is the number of tones, [b.sub.1] and [b.sub.2] ([b.sub.1] > 1, [b.sub.2] > 1) are the spatial-frequency scaling parameters, b is a constant (b > 1), D (2 < D < 3) is the roughness fractal dimension, [K.sub.1] and [K.sub.2] are the fundamental spatial wave numbers in the direction of x and y respectively, and [[phi].sub.n1], [[phi].sub.n2] are arbitrary phases with uniform distribution over the interval [-[pi], [pi]].
Characterization of three-dimensional rough fractal surfaces from backscattered radar data
In this paper, a fractal acoustic model was presented based on the static flow resistivity with the tortuosity fractal dimension, the pore area fractal dimension, and the porosity of the PFMM.
Fractal Model for Acoustic Absorbing of Porous Fibrous Metal Materials
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