self-similarity

(redirected from Self similarity)

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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
We also recommend to further study SFC self similarity for less restrictive self-similarities, such as statistical self-similarity.
Section 3 mainly illustrates the attack detection algorithm we proposes, including self similarity which is an important property to network traffic, traditional detection algorithm based on wavelet analysis and its flaws, and the improvement we do on this method.
Image self similarity within neighborhoods are exploited by local filters, learned dictionaries by sparse coding which usually utilize the sparsity from external training data (Olshausen, 2000).
The space filling property and self similarity of the fractal shape have served to decrease the antenna's operation frequencies and to keep the consistency of its radiation patterns, respectively.
V-variable fractals: fractals with partial self similarity. Adv Math 218:2051-88.
The Figures 6 & 7 illustrates the self similarity of the merged twin jets after (x/d) values of 20 for (x/d) values 20 to 100 for 10by10P4TJ(1) and 10by10P6TJ(1).
Geometric patterns showing the property of self similarity are abundant in day to day life.
The developed zone, representing the region in which jet self similarity is displayed, includes both the inner and outer region.
Keywords: (nested) fractal, self similarity, walk dimension, crossing time
Previous papers (4, 5, 8) report that the EWF methodology can be applied if the specimen ligament is fully yielded before the onset of crack propagation, and if the plastic zone scales with the square of the ligament length (load-displacement curves self similarity).
theory: Prediction and self similarity. Journal of the American
If Byatt's doubling echoes the complexity of chaos theory's "self similarity" (which itself revisits the Renaissance notion of a world within a world), Can Xue's has the precision of a photographic negative.