self-similarity


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self-similarity

[¦self ‚sim·ə′lar·əd·ē]
(mathematics)
The property whereby an object or mathematical function preserves its structure when multiplied by a certain scale factor.
References in periodicals archive ?
Finally a definition of self-similarity based on a notion of generalized Markov operator and some examples are provided in the last section.
According to Clauser (1954), the defect velocity profiles of equilibrium flows will show self-similarity when scaled with wall friction velocity [u.
m]) could be used as a scaling function to study the self-similarity of the phase morphology during the solidification process by comparing the histograms of P(L/[L.
and supported by a number of later research [4-5], the measurements of local and wide-area network traffic, wire-line and wireless network traffic all demonstrate that network traffic possesses self-similarity characteristic in large time-scale.
Other topics include synthesis and mesogenic properties of a novel hyperbranched triphenylene-based discotic liquid crystal, bistable technology in flat panel displays, the synthesis and properties of ultraviolet-curable sealant for liquid crystal display panels, and the self-similarity of electrochemically-deposited copper films on porous silicon.
This self-similarity was completely unexpected, Bianconi says.
Hutchinson, Fractals and self-similarity, IndianaUniv.
The formulation of the complicated figures of nanostructures in a brief, understandable and repetitive way based on self-similarity properties found in these figures, has attracted lots of researchers' attention due to its potential for enhancing the performance of nanomaterials.
Others have touched upon this quality of MR (particularly Anthony Hunt), but I intend to focus primarily on how Snyder uses one image--the spiral--as a fractal device to spin self-similarity at all scales of his text.
Self-similarity suggests a recursive or iterated approach to the modeling of specific form of presentation.
The turbulent attached plane jet was found to show a self-similarity characteristic earlier than in previous studies.
In order to investigate self-similarity in networks, we use the box-counting method and renormalization.