Fractal dimension

The study of the asymptotic behavior of dynamical systems arising from mechanics and physics is a capital issue, as it is essential, for practical applications, to be able to understand and even predict the long-time behavior of the solutions of such systems.

9p visergey 02-04-2024 2 0   Download

Part 2 book "Wavelets in physics" includes content: Wavelets and detection of coherent structures in fluid turbulence; wavelets, non linearity and turbulence in fusion plasmas; transfers and fluxes of wind kinetic energy between orthogonal wavelet components during atmospheric blocking; wavelets in atomic physics and in solid state physics; the thermodynamics of fractals revisited with wavelets; wavelets in medicine and physiology; wavelet dimensions and time evolution.

254p muasambanhan05 22-01-2024 4 2   Download

Lecture Computer graphics - Lesson 40: Fractals. The main topics covered in this chapter include: hausdorff-besicovitch (fractal dimension), Koch curve, fractal geometry, dimensional object for example then the area increases by the square of the scaling,...

70p youzhangjing_1909 28-04-2022 14 5   Download

The fractal dimension characterizing the cumulative size distribution of low attenuation area (LAA) clusters, identified with a fixed threshold such as − 950 Hounsfield Units (HU), on computed tomography (CT) sensitively detects parenchymal destruction in chronic obstructive pulmonary disease (COPD) even when the percent LAA (LAA%), a standard emphysema index, is unchanged.

10p vimontana2711 05-04-2021 8 1   Download

The sensitivity of Optical Coherence Tomography (OCT) images to identify retinal tissue morphology characterized by early neural loss from normal healthy eyes is tested by calculating structural information and fractal dimension.

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Networks or graphs play an important role in the biological sciences. Protein interaction networks and metabolic networks support the understanding of basic cellular mechanisms. In the human brain, networks of functional or structural connectivity model the information-flow between cortex regions.

18p vioklahoma2711 19-11-2020 12 2   Download

In numerous signal processing applications, non-stationary signals should be segmented to piece-wise stationary epochs before being further analyzed. In this article, an enhanced segmentation method based on fractal dimension (FD) and evolutionary algorithms (EAs) for non-stationary signals, such as electroencephalogram (EEG), magnetoencephalogram (MEG) and electromyogram (EMG), is proposed. In the proposed approach, discrete wavelet transform (DWT) decomposes the signal into orthonormal time series with different frequency bands.

12p trinhthamhodang1 16-11-2019 13 0   Download

Choosing a particular textural fraction as an erodibility predictor is often confusing because various fractions of soil particles have been introduced as erodibility index by many researchers. Recently, advances in fractal theory have introduced a scaling parameter for characterizing soil fragments.

8p masterbarista 15-01-2019 21 1   Download

The question of Minkowski measurability of fractals is investigated for different situations by various authors, notably by M. Lapidus. In dimension one it is known that the attractor of an IFS consisting of similitudes (and satisfying a certain open set condition) is Minkowski measurable if and only if the IFS is of non-lattice type and it was conjectured that this would be true also in higher dimensions.

17p tuongvidanh 06-01-2019 10 1   Download

Many of the inorganic and aesthetic constituents evaluated in the Guidelines are known to be essential for life. Chromium, copper, fluoride, iodine, manganese, molybdenum, and selenium are essential elements in human nutrition; arsenic and nickel are considered by some researchers as essential elements. Of the aesthetic constituents, iron, chloride, calcium and magnesium (hardness), sodium and zinc are essential elements.

20p giamdocamnhac 06-04-2013 54 3   Download

The Japanese, looking as they do for essences in landscapes, enjoy the transi- ence of nature; how the cherry blossoms are here today, gone tomorrow, and will return again next year, and the next after that. Everyone who constitutes a landscape must also cope on that landscape, and in that struggle everyone who beholds landscapes can become sensitive to what is going on as the world continues on, even though they may not know its deep history in geological and evolutionary time. They know context, if not origins.

8p giamdocamnhac 06-04-2013 50 4   Download

We present the percolation-theory model for explanation of conductivity of perovskites based on the scaling property of grain boundary formation. Assuming a two-layer simple effective medium model, composed of the grain itself as a first layer and the boundary as a second layer, it was modeled that the net resistivity r of the medium depends on the average grain size L, boundary thickness L’ and boundary fractal dimension D.

8p tuanlocmuido 19-12-2012 44 2   Download

Let X be random variable taking values 0, 1, a with equal probability 1/3 and let X1 , X2 , ... be a sequence of independent identically distributed (i.i.d) random variables with the same distribution as X. Let µ be the probability measure induced by ∞ S = i=1 3−i Xi . Let α(s) (resp. α(s), α(s)) denote the local dimension (resp. lower, upper local dimension) of s ∈ supp µ. Put

18p tuanlocmuido 19-12-2012 35 3   Download

Let X1 , X2 , ... be a sequence of independent, identically distributed(i.i.d) random variables each taking values 0, 1, a with equal probability 1/3. Let µ be the ∞ −n probability measure induced by S = Xn . Let α(s) (resp.α(s), α(s)) denote n=1 3 the local dimension (resp. lower, upper local dimension) of s ∈ supp µ, and let α = sup{α(s) : s ∈ supp µ}; α = inf{α(s) : s ∈ supp µ}

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Let µ be the probability measure induced by S = n=1 3 X1 , X2 , ... is a sequence of independent, identically distributed (i.i.d) random variables each taking values 0, 1, a with equal probability 1/3. Let α(s) (resp.α(s), α(s)) denote the local dimension (resp. lower, upper local dimension) of s ∈ supp µ, and let

13p tuanlocmuido 19-12-2012 39 3   Download

The fractal analysis is becoming a very useful tool to process obtained data from chaotic systems in geosciences. It can be used to resolve many ambiguities in this domain. This book contains eight chapters showing the recent applications of the fractal/mutifractal analysis in geosciences. Two chapters are devoted to applications of the fractal analysis in climatology, two of them to data of cosmic and solar geomagnetic data from observatories. Four chapters of the book contain some applications of the (multi-) fractal analysis in exploration geophysics.

182p camchuong_1 04-12-2012 52 7   Download

This chapter discusses the problematic nature of interfacial sciences when constrained to the mesoscale. Interfacial sciences are trapped between the atomistic and the three- dimensional bulk regimes - the mesoscale. We experience a breakdown of phenomenological descriptions used to characterize macrosystems. Furthermore, submicrometer systems with their fractal-like dimension cannot be adequately described with quantum or molecular interaction theories. The challenge of describing the mesoscale for the...

341p taurus23 26-09-2012 49 10   Download

complexity, also in the field of theories concerning social and economic sciences (The orgins of Order: Self-Organizations and Selection in Evolution, Oxford univ. Press, 1993). Efforts will be made to attempt to “crystallize” complex systems, that is to transform them into structures characterized by a high degree of order. This book The Systemic Dimension of Globalization that consists of a variety of approaches and topics was connected throughout the main message - the system conception.

290p lulanphuong 22-03-2012 102 21   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Fractal dimension approach in postural control of subjects with Prader-Willi Syndrome

6p panasonic08 05-01-2012 58 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành y học dành cho các bạn tham khảo đề tài: Fractal dimension approach in postural control of subjects with Prader-Willi Syndrome

6p panasonic01 12-12-2011 37 3   Download