Results 31 to 40 of about 208,576 (353)

From Fractal Groups to Fractal Sets [PDF]

open access: yes, 2003
This paper is a survey, with few proofs, of ideas and notions related to self-similarity of groups, semi-groups and their actions. It attempts to relate these concepts to more familiar ones, such as fractals, self-similar sets, and renormalizable dynamical systems.
Bartholdi, Laurent   +2 more
openaire   +4 more sources

A Brief Survey of Paradigmatic Fractals from a Topological Perspective

open access: yesFractal and Fractional, 2023
The key issues in fractal geometry concern scale invariance (self-similarity or self-affinity) and the notion of a fractal dimension D which exceeds the topological dimension d.
Julián Patiño Ortiz   +3 more
doaj   +1 more source

Fractal catastrophes

open access: yesNew Journal of Physics, 2020
Abstract We analyse the spatial inhomogeneities (‘spatial clustering’) in the distribution of particles accelerated by a force that changes randomly in space and time. To quantify spatial clustering, the phase-space dynamics of the particles must be projected to configuration space.
Meibohm, Jan   +3 more
openaire   +4 more sources

Using Fractals in Information Hiding [PDF]

open access: yesEngineering and Technology Journal, 2009
Fractals are generated by simple, recursive calculations. Encryption anddecryption algorithms that take advantage of fractals are developed. This paper presents a new approach for information hiding using iterated function system (IFS) this approach ...
Nadia M. Al-Saidie, Thanaa A. Kadhim
doaj   +1 more source

Scattering from surface fractals in terms of composing mass fractals [PDF]

open access: yes, 2015
We argue that a finite iteration of any surface fractal can be composed of mass-fractal iterations of the same fractal dimension. Within this assertion, the scattering amplitude of surface fractal is shown to be a sum of the amplitudes of composing mass ...
A. Cherny   +4 more
semanticscholar   +1 more source

Aesthetic Responses to Exact Fractals Driven by Physical Complexity

open access: yesFrontiers in Human Neuroscience, 2016
Fractals are physically complex due to their repetition of patterns at multiple size scales. Whereas the statistical characteristics of the patterns repeat for fractals found in natural objects, computers can generate patterns that repeat exactly.
Alexander J. Bies   +4 more
semanticscholar   +1 more source

Algebraic features of algorithm composition for calculating fractal structure [PDF]

open access: yesE3S Web of Conferences, 2020
The construction methods analysis of known geometric fractals allows us to reveal algebraic features of fractal algorithms composition. The main concept of the analysis results is fractal operators which are basic operations for constructing fractals of ...
Maikov K.A.   +3 more
doaj   +1 more source

Fractal statistics [PDF]

open access: yesChaos, Solitons & Fractals, 2001
We consider the recent description of elementary particles in terms of Quantum Mechanical Kerr-Newman Black Holes, a description which provides a rationale for and at the same time reconciles the Bohm-hydrodynamical formulation on the one hand and the Nelsonian stochastiic formulation on the other.
openaire   +3 more sources

The Structure of Mn and Co Nanoparticles Obtained in Direct Surfactant Micelles [PDF]

open access: yesЖурнал нано- та електронної фізики, 2017
The article deals with synthesis of Co and Mn nanoparticles in micellar aqueous solutions of cetyl pyridinium chloride. The nanoparticles (3-4В nm) and the spherical fractals (50, 150, 500 nm) have been identified with electron spectroscopy, dynamic ...
I.G.В Vorobiova   +2 more
doaj   +1 more source

Wearable Haptic Feedback Interfaces for Augmenting Human Touch

open access: yesAdvanced Functional Materials, EarlyView.
The wearable haptic feedback interfaces enhance user experience in gaming, social media, biomedical instrumentation, and robotics by generating tactile sensations. This review discusses and categorizes current haptic feedback interfaces into force, thermal, and electrotactile stimulation‐based haptic feedback interfaces, elucidating their current ...
Shubham Patel   +3 more
wiley   +1 more source

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