Self-Similar


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Self-Similar

When small parts of an object are qualitatively the same, or similar to the whole object. In certain deterministic fractals, like the Sierpinski Triangle, small pieces look the same as the entire object. In random fractals, small increments of time will be statistically similar to larger increments of time. See: Fractal.

Self-Similar

In mathematics, describing a condition in which the parts of an object are substantially the same as its whole. See also: Fractals.
References in periodicals archive ?
TWO-FLUID, SELF-SIMILAR NONLINEAR SOLITARY WAVE EQUATIONS IN BRAIN PLASMA
This paper presents a formal conceptualization of the self-similarity adapted to the context SFCs and an efficient computational test to determine whether a specific SFC is self-similar.
Design and Simulation for a Real-time Ethernet Protocol under a Self-similar Traffic.
4 Equivariant self-similar Lagrangian submanifolds in [D.
The mean velocity profile reaches the self-similar region starting from x/d [approximately equal to] 15 in the d/ [DELTA]x = 2 case and from x/d [approximately equal to] 10 in the d/[DELTA]x = 4 case.
A fractal is a geometric object which is constructed from a "simple" initial shape and arranged to form self-similar patterns across different scales and with fractal dimensions.
After a brief biography of Russian mathematician Cantor (1845-1918) he considers such topics as basics, Cantor sets and continued fractions, self-similar objects, porosity and thickness-looking at the gaps, and generalizations and applications.
Hence, fractal arrays created in this manner will be composed of a sequence of self-similar sub arrays.
This assumption of proportionality holds true for flows with a self-similar velocity profile.
Compared to this, the self-similar traffic with same utilization level and buffer overflow probability would require memory capacity of K = 5 x [10.
Is perhaps similar self-similar to predicate identity.
Fractals are geometrical shapes, which are self-similar, that means some of their parts have the same shape as the whole object but at a different scale [9,10].