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 ?
The paper is organized as follows: Section 2 presents an introduction to the theory of selfsimilarity and to SFCs theory, also a definition of exact self-similarity of discrete approximations of SFC.
The late Walter Freeman found this self-similarity causal in how the brain quickly moved between vastly different states.
As we continue to zoom in on the snowflake, we see the self-similarity of the crystals.
Tsurumi, "A simple, general model for the affine self-similarity of images," in Proceedings of the International Conference on Image Analysis and Recognition (ICIAR '08), A.
Height has been found to scale as the 2/3 power of diameter, exhibiting elastic self-similarity, or in one-to-one proportion with diameter, exhibiting geometric self-similarity (Whittaker and Woodwell, 1968; McMahon and Kronauer, 1976; King, 1990; Niklas, 1994; Niklas, 1995).
Note, that due to self-similar traffic nature, the estimation of self-similarity parameter can't be realized in situations when there is no data about entity count (a "pause").
k] (r, M)) is a complex and special "membership function" from the concept of fuzzy fractal, which describes the extent to which the sub-series in the processing unit satisfies self-similarity.
The property of self-similarity in a fractal-Dimensional occurs throughout the range of scales [Dacarogna, M.
The space-filling property of the antenna served to lower its resonant frequency, and its self-similarity property to keep consistent some of its characteristics.
The fractal compression deals primarily with the issue of self-similarity between larger and smaller portions of an image.
In fact, fractals can be the explanation for some across-scale patterns found in nature, even though it would be difficult to observe self-similarity in all scales on ecological structures.
The strange attractor operates when the system shows emergent stability over time, self-similarity, but also the possibility for radical nonlinear change.