Box dimension
Research of Planetary Gear Fault Diagnosis Based on Multi-Scale Fractal Box Dimension of CEEMD and ELM
... The planetary gear is the most critical part of a drive transmission system, and its faults will affect the reliability of the equipment, and even cause accidents. Therefore, it is of great significance to study the ...
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Alveolar fractal box dimension inversely correlates with mean linear intercept in mice with elastase-induced emphysema
... fractal box dimension (D B ) and the mean linear intercept (L m ), Spearman’s correlation coefficient was chosen over Pearson’s correlation coefficient, due to the non-normal distribution of outcome ...
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Geometrical and topological properties of fractal percolation
... Theorem 1.3 shows the existence of a phase in which rectifiable crossings of finite length can exist w ith positive probability. This is, however, corrected in later versions; he proves th at w ith probability 1, all ...
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Box Dimensions of Two Dimensional Cantor like Sets and Special Property of Cantor like Sets Similar to Sets of Positive Measure
... ABSTRACT: In this paper we determine the estimates for upper / lower Box dimension of two dimensional generalized Cantor like sets S. The two dimensional Cantor like sets S have been constructed in [3], for ...
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A capacity approach to box and packing dimensions of projections of sets and exceptional directions
... For a general Borel set E with dim s P E > t we need to find a compact subset E 0 ⊂ E with dim s P E 0 > t which then has a suitable subset as above. Whilst this is intuitively natural, I am not aware of a simple ...
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24. Continuity of the Hausdorff Dimension for Sub-Self-Conformal sets
... Hausdorff dimension and Box dimension for these sets if the open set condition (OSC) is ...Hausdorff dimension for sub-self-similar sets under the assumption that the self-similar iterated ...
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Assouad type dimensions and dimension spectra
... Assouad dimension) for θ > log 4/ log 8 = 2/3, but for smaller values of θ the spectrum would decay towards the box ...smaller dimension but which consisted only of 1/3 × 1/9 rectangles, then this ...
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On the Hausdorff and packing measures of typical compact metric spaces
... lower box dimension of a typical compact metric space is as small as possible and that the upper box dimension of a typical compact metric space is as big as ...lower box ...
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Some results in support of the Kakeya conjecture
... lower box) dimension and whether they have zero or positive Lebesgue ...Hausdorff dimension, but for the question of measure it is not so clear what to ...
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On the average box dimensions of graphs of typical continuous functions
... lower box dimension of X , and if X has only finitely many isolated points, then the upper box dimension of the graph of f is as big as possible, namely, equal to the upper box ...
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The Assouad dimension of randomly generated fractals
... Assouad dimension is the main object of study in this paper and will be defined and discussed in this ...Assouad dimension is still playing a fundamental rˆ ole, see [Ol, OR, ...Assouad dimension ...
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New Inequalities on Fractal Analysis and Their Applications
... outer measures as they are not countably subadditive. It is known that the modified upper box dimension Δ and the modified lower box dimension δ are dimension indices which satisfy ...
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The horizon problem for prevalent surfaces
... the box dimensions of the horizon of a fractal surface defined by a function f ∈ C[0, 1] 2 ...the box dimension of the horizon is one less than that of the ...has box dimension 3, this ...
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Feature Analysis and Classification of Particle Data from Two Dimensional Video Disdrometer
... Fractal dimension is a useful feature for shape ...fractal dimension, was proposed for improvement estimates of snowfall retrieval by radar remote sensing [10] ...the box-counting method, which is ...
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Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds
... (including box dimension, Hausdorff dimension, packing dimension, etc) of the image of f or graph(f ) is a well known problem and one can find many results in the ...
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Investigation and Structual Analysis of Spur Gear using Ansys
... gear box is the second element of the power train in an ...gear box in vehicle its changes the engine speed into torque when climbing hills and when the vehicle ...gear box are as follows: ...
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Design, Analysis and optimization of crane Girder via Buckling analysis
... Crane Girder is an assembly of steel plates, angle and rails. Steel plates forms the flange and web of girder while the angle forms the stiffening part of the web plate. Steel plates are also used as diaphragms of the ...
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Steps towards a Deeper Economic Integration: The Internal Market in the 21st Century
... To assess the macro-economic impact of liberalisation, one has to distinguish between direct effects on the network industries, effects on customers and indirect economy-wide effects. Some direct effects on the ...
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Evolution of fractality in space plasmas of interest to geomagnetic activity
... (Kadanoff et al., 1995; Pisarenko et al., 1993), and the so- lar wind (Chapman et al., 2008); but it is interesting to note that it does describe some relevant features of these time se- ries’ complexity, as it has been ...
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Framework to Software Testing and Types
... White Box Testing (also synonyms as Clear Box Testing, Open Box Testing, Glass Box Testing, Transparent Box Testing, Code- Based Testing or Structural Testing) is a software testing ...
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