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self-similarity
(redirected from Self-similar)

   Also found in: Financial, Encyclopedia, Wikipedia 0.01 sec.
self-similarity  (slfsm-lr-t)
The property of having a substructure analagous or identical to an overall structure. For example, a part of a line segment is itself a line segment, and thus a line segment exhibits self-similarity. By contrast, no part of a circle is a circle, and thus a circle does not exhibit self-similarity. Fractals such the Sierpinski triangle are self-similar to an arbitrary level of magnification; many natural phenomena, such as clouds and plants, are self-similar to some degree. See more at fractal.


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In the developed zone, the jet velocity profile exhibits a self-similar character in the far downstream position from the slot.
His interest in complex, self-similar lattices manifests itself in the hypnotizingly ornamental nonlinear geometries deployed by architecture firms such as davidclovers, Ruy Klein, su11, Xefirotarch, and FPmod, whose work is on view until later this month at New York's Artists Space in the exhibition "Matters of Sensation," curated by Georgina Huljich and Marcello Spina (of the firm Patterns).
An even more elegant derivation uses the energy-release rate for a self-similar expansion of a defect calculated from the path-independent M integral [16-18]: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (15) with an arbitrary integration path [GAMMA] (arc length ds, unit outward normal vector [n.
 
 
 
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