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 ?
Now we state the stability of solutions to Cauchy problem (1) in the neighborhood of the self-similar solution [v.sub.m] (t, x).
Experimental data from [sup.32]S-AgBr at 200A GeV interaction has been analysed using the complex network based visibility graph method and the PSVG values obtained thereof have been compared for all the overlapping [eta]-regions centered around [c.sub.r], and it has been shown that the multiplicity fluctuation in high-energy interaction is self-similar and scale-free [30].
For example, the presence of the term [T.sub.01] suggests the heat dissipation effects in the evolution of self-similar space-time.
This is a consequence of the self-similar property of turbulent round jets.
TWO-FLUID, SELF-SIMILAR NONLINEAR SOLITARY WAVE EQUATIONS IN BRAIN PLASMA
It is known [1] that there exists [epsilon] > 0 such that for every [mathematical expression not reproducible] homogeneous of degree - [alpha] + 1 and [mathematical expression not reproducible] the initial value problem (1.1)-(1.2) has a global-in-time solution which is self-similar, namely
The velocity components are calculated according to the self-similar model [15, 19].
(vi) The Conway sequence has self-similar generations divided at powers of 2.
The Zipf distribution is a signature of self-similar hierarchies associated with fractal patterns and self-organized processes.
Fractals considered as self-similar when an object is exactly or approximately similar to a part of itself or self-affine or self-affine when objects are scaled by different amounts in the x- and y-directions.
But, since not all SFCs are exact self-similar, in this paper, we propose a method to determine whether a discrete approximation of Space Filling Curve is exact self-similar.
[3] solved the problem of self-similar boundary layer flow over a moving plate to show the effects of wall transpiration and plate movement.