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 ?
It has been investigated and experimented by us that self similar objects and graphical objects can be generated using L-system string rewriting through single and multiple production rules in a much simplified manner.
The contributed chapters offer suggestions for teaching in connection with fully explained projects such as making Mobius quilts, bi-directional hats (diophantine equations), Sierpinski shawls (Sierpinski variations & self similar crochet), and knitted toruses; symmetry patterns in cross-stitch, socks with algebraic structure, and Fortunatus's purse; and making a pillow of braid equivalence, embroidering a Holbeinian graph, and making hyperbolic pants.
1) is defined to be the unique nonempty compact set, which is self similar with respect to the family of similarity contractions F := {[[psi].
This implies that the concentration distributions profiles of all experimental runs are self similar and they are normally assumed to have a Gaussian concentration distribution [(C = [[C.
In the second section we prove that the moment matrix of a self similar measure satisfies a matrix equation which allows us to obtain a recurrence relation for the moments.
Spence, Self similar solutions to adhesive contact problems with incremental loading, Proc.