نتایج جستجو برای: box counting method
تعداد نتایج: 1730922 فیلتر نتایج به سال:
The difficulty to obtain a stable estimate of fractal dimension for stochastic fractal (e.g., urban form) is an unsolved issue in fractal analysis. The widely used box-counting method has three main issues: 1) ambiguities in setting up a proper box cover of the object of interest; 2) problems of limited data points for box sizes; 3) difficulty in determining the scaling range. These issues lead...
OBJECTIVE Mathematical morphology and box counting were used to extract trabecular pattern and to evaluate changes of reactive bone following root canal treatment. STUDY DESIGN Periapical radiographs were digitized and processed with mathematical morphology operations known as skeletonization. The trabecular patterns resulting from this skeletonization process were further analyzed with fract...
One of the major events in the evolution of modern process thinking was the publication of Michael Porter’s book, Competitive Advantage, in 1985, which introduced the idea of the Value Chain. [2] (See Figure 1.) A value chain is the ultimate process of an organization. A value chain describes all of the activities that an organization undertakes to produce a product. The manager of the company ...
There are times when, in their haste to solve a particular problem, students (and their instructors) miss an opportunity to notice some interesting mathematics. For example, when calculus students are introduced to the derivatives of inverse trigonometric functions, they frequently run across a classic problem that goes something like this: There is a 6-foot tall picture on a wall, 2 feet above...
29 W e all want to change our appearance in some way. For example, makeup helps enhance appearance, although it primarily relates to the face. Many people try to change their moods by changing their accessories, clothes, and hairstyles. Some people even resort to plastic surgery to make permanent changes. We often observe behaviors that stem from a more radical desire for metamorphosis. For exa...
Although the Gross Domestic Product of the United States has been steadily rising since the 1950s, the gap between rich and poor is increasing (see Figure 1). John Kenneth Galbraith explained the importance of inequality when he stated, “People are poverty-stricken when their income, even if adequate for survival, falls markedly behind that of the community. Then they cannot have what the large...
[1] Box counting is widely used for characterizing fracture networks as fractals and estimating their fractal dimensions (D). If this analysis yields a power law distribution given by N / r , where N is the number of boxes containing one or more fractures and r is the box size, then the network is considered to be fractal. However, researchers are divided in their opinion about which is the bes...
Let λ = (λ1, λ2, . . . , λl), λ1 ≥ λ2 ≥ . . . ≥ λl > 0, be a partition of n, λ ⊢ n, and let [λ] = {(i, j) ∈ Z : 1 ≤ i ≤ l, 1 ≤ j ≤ λi} be the corresponding Young diagram. The conjugate partition λ is defined by λj = max{i : λi ≥ j}. We will freely use implications such as i ≤ j ⇒ λi ≥ λj. The hook Hz ⊆ [λ] is the set of squares weakly to the right and below of z = (i, j) ∈ [λ], and the hook len...
1. INTRODUCTION. There is obvious value in finding the most efficient ways to arrange objects like balls or polyhedra in a given container. There is more scope for rich mathematics in having the " container " be all of space, so there are no boundaries to spoil the potential symmetry of the optimal arrangements, and this is the type of problem we will consider (see Figure 1 for an efficient and...
For instance, in Table 1 one observes three bid insertions between 10:30:08.35 and 10:30:12.56, where the best bid in this period was bid 7 at limit 97.53 due to the price-time priority rule of the Xetra system. The insertion of an ask at 10:30:12.56 led to a transaction price of 97.53 and full execution of order 7, 10 and 11. This is illustrated in Figure 1 which contains the information shown...
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