self-similar


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self-sim·i·lar

(sĕlf′sĭm′ə-lər)
adj.
Having a substructure analogous or identical to an overall structure. In mathematics, certain geometrical objects such as line segments and fractals are self-similar to an arbitrary level of magnification; many natural phenomena, such as clouds and plants, are self-similar to some degree.

self′-sim′i·lar′i·ty n.
References in periodicals archive ?
The topics include a measure-theoretic result for approximation by Delone sets, self-similar tilings of fractal blow-ups, dimensions of limit sets of Kleinian groups, an overview of complex fractal dimensions: from fractal strings to fractal drums and back, and eigenvalues of the Laplacian on domains with fractal boundary.
Outside, in nature we may see many fractals pattern such us the twigs linked to the tree or snowflakes, these reinforce the properties of being self-similar. No matter how complex is the whole situation, the fractal patterns are recursive since it is built from many repetitions of the same process.
Another assumption within the synthetic control arm approach is that disease progressions are at best case linear, and at worst case, self-similar within disease states.
The combinatorial model, called "the plaid model," has a self-similar structure that blends geometry and elementary number theory.
Auditing of the annual financial statements and reporting in accordance with the statutory provisions as well as the professional regulations to be observed for self-similar facilities of the city of cologne, here: bhnen der stadt kln and grzenich-orchester kln.
Calculation of the numerical value of r can be performed based on the definition of fractional dimension, as a property of self-similar objects (fractional dimension is a dimension in the form of a fraction, for example, 23900/10000).
Fractals have 'self-similar' structure on a variety of size scales.
Next we prove the existence of the self-similar solutions [v.sub.m](t, x) = [t.sup.-1/3] [f.sub.m]([xt.sup.-1/3]).
The evidences of self-similar characteristics in high-energy interactions have connections to the idea of fractality.
Sharif and Aziz [12, 13] studied kinematic self-similar solutions of plane and cylindrically symmetric space-time for the perfect fluid and dust.
When we look at landscapes that have a natural fractal pattern [fractals are infinitely complex patterns that are self-similar across different scales]--natural shapes like tree limbs, clouds, ripples on the water, or coastlines--our brains produce more alpha waves, which signify a wakefully relaxed state.
Another key characteristic of the turbulent round jet is its self-similar property.