Examples of 'self-similarity' in a sentence
Meaning of "self-similarity"
The noun 'self-similarity' describes a characteristic in which an object is exactly or approximately similar to a part of itself
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- The property of being self-similar, of having parts that resemble the whole, as a fractal has.
How to use "self-similarity" in a sentence
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self-similarity
Self-similarity is a typical property of artificial fractals.
Characterize the self-similarity of the series.
In the figure there is an obvious self-similarity.
Statistical self-similarity and fractal dimensions.
Series can be seen as an instance of self-similarity.
Statistical self-similarity and fractal dimension.
A fractal has the property of self-similarity.
This self-similarity is typical of fractals.
Logarithms are also linked to self-similarity.
Self-similarity is a basic property of fractals.
Nonlinearity is captured through the use of self-similarity.
Self-similarity occurs in a surprising number of areas in engineering.
Fractals are the most common example of self-similarity.
This self-similarity introduces the subject of fractals to our modeling.
It is a property known as self-similarity.
See also
In addition, a self-similarity of the structures was observed regardless their types.
Trees are fractal and let me explain the notion of self-similarity.
Mandelbrot realised self-similarity was the basis of an entirely new kind of geometry.
A fractal is an object or quantity that displays self-similarity on all scales.
Fractal self-similarity can be thought of as a symmetry somewhat comparable to translational symmetry.
The sum can be computed using the self-similarity of the series.
They have a self-similarity dimension that is larger than the topological dimension.
Fractals can be intuitively defined as objects with self-similarity at different scales.
An iteration ratio of self-similarity of the fractal geometric shape can be higher than 2.
This allows for the organism to retain the aspect of self-similarity.
A common way to consider this self-similarity is to separate the image into patches.
The self-similarity processes are invariant in distribution under the time and space scale.
Self-similar processes are types of stochastic processes that exhibit the phenomenon of self-similarity.
Due to their self-similarity and scale invariance, they easily accommodate multiple frequencies.
This process can be continued infinitely, from which arises a good idea of self-similarity.
Self-similarity properties are similar for second order statistics but unusual for convergence in law.
Given a modern understanding of fractals, a growth spiral can be seen as a special case of self-similarity.
The existence of structural classes and a cyclic self-similarity in the state are revealed.
Underlying nearly all the shapes in the natural world is a mathematical principle known as self-similarity.
The figure as a whole has a self-similarity between the large triangle and its upper sub-triangle.
In the following the periodicity behavior will appear throughout the self-similarity property.
Diffusion approximation for self-similarity of stochastic advection in Burgers ' equation.
This includes the characteristics of fractal dimension, recursion and self-similarity exhibited by all fractals.
The idea of self-similarity has a long history in European thought.
Thus, a lower value of SampEn also indicates more self-similarity in the time series.
TheMarkov property added to self-similarity provides some interesting features, as noted by Lamperti.
Prior art antenna design does not attempt to exploit multiple scale self-similarity of real fractals.
This self-similarity analysis captures the complexity the complexity of the EDA signal.
Two of the most important properties of fractals are self-similarity and non-integer dimension.
Statistical Self-Similarity and Fractional Dimension, crystallising mathematical thought into the concept of the fractal.
The geometric shape of a fractal may be split into parts, each of which defines self-similarity.
The Mandelbrot fractal has the same self-similarity seen in the other equations.
Julia Sets can be fractals, in that they have fractional dimension and self-similarity.
Statistical Self-Similarity and Fractional Dimension, which built on earlier work by Lewis Fry Richardson.
Andrew Lo describes stock market log return self-similarity in econometrics.
