Examples of 'self-similar' in a sentence
Meaning of "self-similar"
self-similar (adjective) - describes a mathematical or geometric pattern that repeats itself at different scales or levels of magnification, often used in fractals or self-replicating structures
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- Having self-similarity; having parts that resemble the whole, as a fractal has.
How to use "self-similar" in a sentence
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self-similar
So nature has this self-similar structure.
The analyzed process in these media is self-similar.
But it does not include self-similar patterns as ApEn does.
The ramification matrices are again self-similar.
A turbulent flow is self-similar if there is an energy cascade.
It is a binary tree drawn so it is self-similar.
We rediscover a self-similar spreading regime at short times.
Recursion is the process of repeating items in a self-similar way.
These are self-similar and very irregular curves.
Creativity is a very self-similar process.
A self-similar solution exist for the problem posed.
Fractals are objects that are self-similar at different scales.
This self-similar pattern continues at several smaller levels.
There is a seminar on self-similar fractals.
It is self-similar because it is the same shape at different scales.
See also
This is the source of its self-similar fractal nature.
Perfectly self-similar shapes do play an important role in fractal geometry.
Discrete approximation of a stable self-similar stationary increments process.
When this happens we conclude that the system is self-similar.
The fractal is self-similar heart perfectly consistent.
This situation is best illustrated with self-similar fractals.
In such structures a self-similar geometry recurs at many scales.
The tiling is done by the subdivision of a structure in a self-similar manner.
It is clear that self-similar traffic models are in the mainstream.
A fractal is an object which looks self-similar on all scales.
In mathematics, a self-similar object is exactly or approximately similar to a part of itself.
A common misconception is that fractals are shapes that are perfectly self-similar.
The physical theory on self-similar pulse amplification is first presented.
A last part deals about the regularity of some self-similar solutions.
The wedge problem is self-similar and has no inherent length scale.
Also, we study asymptotic stability of the solutions and existence of self-similar solutions.
Existing self-similar models could not be used in conventional queuing models.
Fractals are infinitely complex patterns that are self-similar across different scales.
A self-similar object is one that is exactly or approximately similar to a part of itself.
The structure therefore shows a self-similar structure at at least these two magnifications.
Conventional traffic models are not applicable to these types of self-similar traffic models.
Lévy flights and self-similar exploratory behaviour of termite workers, beyond model fitting.
We propose a numerical approach where we approximate the self-similar interface by a prefractal interface.
But it has a much more interesting property, the infinite sequence is self-similar.
Then we show the uniqueness of this self-similar solution in the case of symmetric polygons.
Self-similar processes are types of stochastic processes that exhibit the phenomenon of self-similarity.
The cluster-size distribution appears to answer to a self-similar evolution that we characterize.
Analysis of the profiles of the neck in both cases showed that profiles are self-similar.
In particular, many of these self-similar groups arise as iterated monodromy groups of complex polynomials.
Furthermore, we show an asymptotic stability result and obtain a class of asymptotically self-similar solutions.
L-systems can also be used to generate self-similar fractals such as iterated function systems.
It actually helps to start the discussion here by only looking at perfectly self-similar shapes.
For this he defines statistically self-similar figures and says that these are encountered in nature.
This theory implicitly assumes that the turbulence is statistically self-similar at different scales.
We also encode the genealogy of self-similar fragmentations with negative index into continuum random trees.
