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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.


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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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