# self-similarity

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## self-similarity

[¦self ‚sim·ə′lar·əd·ē]
(mathematics)
The property whereby an object or mathematical function preserves its structure when multiplied by a certain scale factor.
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Equation (1) provides the following self-similar set of two-fluid equations for the brain plasma system by assuming a slab model where the propagation of EEG signals is along the x-coordinate in the Cartesian frame (x, y, z):
Section 3 presents the test that determine whether a discrete approximation of a Space Filling Curve on the plane is exact self-similar.
In this section, we describe some self-similar Lagrangian solutions of the Mean Curvature Flow (MCF).
The results predicted by Case 2 show similar features of velocity contours and starting locations of self-similar region to those predicted by case 1.
Varadan, "Self-similarity in diffraction by a self-similar fractal screen," IEEE Transactions on Antennas and Propagation, Vol.
Self-similar velocity profiles for a Newtonian fluid and a power law fluid in a channel of width 2B are shown in Fig.
For self-similar traffic generation most commonly used distribution is Pareto distribution , .
This fractal is strictly self-similar because its parts are identical replicas of the whole structure.
At the same time, it was known from extensive cold flow characterization inside the channel, using LDA and micro-PIV, that turbulent boundary layers were in a self-similar state and mean and fluctuating velocity distributions were quasi-2D in the center of the channel as intended.
In organizations like the ones analyzed here, this process is called self-similar, since each of its parts is equal to the total (they look the same at any scale) and from the mathematical point of view it has certain peculiar properties that distinguish representation as follows [Briggs, J:1990]:
They are related to fractals, in that they have self-similar patterns.

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