| 词汇 | example_english_percolation |
| 释义 | Examples of percolationThese examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. In fact, conversion of old tanks into percolation tanks is more effective as far as the impact on groundwater is concerned. A major focus of interest in a percolation model is the critical probability, which is viewed as a phase transition point. We present improved lower and upper bounds for the time constant of first-passage percolation on the square lattice. We compare the parameter values for which there exists a strategy such that the process survives to the critical parameter of ordinary percolation. A theorem from percolation theory is relevant to the existence of such a factor with infinitely many ends. In this way the problem of feature agreement and percolation of feature-values between nodes in a phrase structure tree is dealt with. At any constituent, the percolation information is consulted to determine which of the constituent's children would pass the head word over to their parent. The head percolation table determines the head child as follows. Anomalous diffusion in the two-dimensional monoscale turbulent flow could be explained in terms of the percolation threshold. Thus, in the framework of percolation theory the scaling representation of the spatial correlation scale a / is used. The notion of the nature of the stochastic layer corresponding to percolation (fractal) streamline is the foundation of percolation models. Here, we suggest new mean-field arguments to obtain percolation results within the framework of the monoscale model. As a first step, all traditional tank systems should be revived and converted into percolation tanks wherever necessary. Long-range percolation is a natural model of some social networks, in which the probability that you know a person decays with distance. Our analysis is in favour of investments in replenishment mechanisms such as irrigation tanks and percolation tanks. We begin with a theorem which gives bounds on the critical probability for majority bootstrap percolation on the hypercube. In lattice percolation models, on the other hand, as a rule one cannot determine the exact critical probability. We say that percolation occurs if eventually every vertex is infected. We now consider sites which are either wide free, or almost wide free, with a single mine neighbour, which is open in the s-percolation. The first step is to translate the problem to one that does not involve strategies, but only the structure of the percolation cluster. The present paper consider s the influence of drift flows and time-dependence effects on the turbulent transport in the framework of the percolation model. The percolation model implies that there exists a percolation (fractal) streamline in the two-dimensional random flow under consideration, which embraces almost the whole plane. The consequence could thus be a new type of scaling law for diffusion in the asymptotic regime appearing beyond the percolation regime. Scaling and percolation in the small-world network model. In order to accomplish this task, a slight variant of what is called a head percolation table is used. We are now in a position to use mixed percolation. The percolation theory requires the existence of at least one coastline of infinite length. In the steady case, the percolation model agrees well with the experimental data. The present paper consider s the influence of drift flow and time-dependence effects on the passive scalar behavior in the framework of the percolation approach. In the framework of the percolation approach there is another good example. However, in this approach the percolation character of correlation effects was lost. Thus, to the extent that headship is synonymous with source of percolation, we might define coordinate constituents as co-heads. Zwicky claims that percolation is the main feature of headship. There exists p < 1 so that this region has an infinite component after p-percolation almost surely. The positive externalities associated with resource investments are in the nature of reviving or creating water bodies such as percolation tanks/replenishment mechanisms. Replenishment costs are the costs of converting the existing tanks into percolation tanks that would replenish the aquifer. As before, we can in fact couple with a supercritical branching random walk, and use oriented percolation to find an infinite component. Long-range percolation gives natural examples of graphs with small diameter (polylogarithmic: see [9]) yet large polynomial mixing time. Long-range percolation graphs have received some recent interest: see [14]. We will say that there is percolation if the probability that there is an infinite path is positive. The random-cluster model is a two parameter family of probability measures on the edges of a finite graph which, among other things, generalizes ordinary percolation. We will say that there is percolation for p if the probability at the given parameter p that there is an infinite path is positive. The critical probability has been exactly determined for only a few percolation models. A bond percolation model is defined similarly, with the randomness associated with the edges rather than the vertices, which are all considered to be open. The hexagonal lattice site percolation critical probability is shown to be at most 0.79472, improving the best previous mathematically rigorous upper bound. See [1] for a discussion of the roles of unimodularity, transitivity and quasitransitivity in percolation. Percolation on transitive graphs as a coalescent process: relentless merging followed by simultaneous uniqueness. The renormalization method of a small parameter in continuum 10/7 percolation models is reviewed. To develop the percolation approach, it is necessary to take into account that the percolation cluster occupies only a small fraction of the space. The percolation approach looks very attractive because it gives the simple and, at same time, univer sal model of behavior related to strong correlation effects. Another typical example of the renormalization small parameter consists of the consideration of percolation in models of graded type [16]. The diffusive approximation of correlation effects is effectively used in percolation and fractal models of anomalous transport. The water table in the dry season was also deeper than in the wet season, resulting in higher percolation losses. One problem with this suggestion is that there is no empirical reason why mo should block the percolation of features associated with nai. As the reader will discover later in this article, a similar phenomenon also occurs for majority percolation. We conclude with some conjectures, including predicted order of the critical probabilities for bond percolation and the connective constants for self-avoiding walks on these lattices. Now, consider the percolation process on the cubes with the l1 d neighbourhood structure. In particular (see [23]), it appears as if the exponents for nonintersecting random walks are closely related to exponents for percolation and self-avoiding walks. In our model, percolation effects between levels also increase the degree of alignment, and extended dialogue iteratively reinforces alignment. The second innovation in this paper is comparing the site and bond percolation models on the same lattice. The analysis is in favour of investment in replenishment mechanisms such as irrigation tanks and percolation tanks. As a first step all traditional tank systems should be revived and converted into percolation tanks wherever necessary. The good parts of all the good cosets will be connected after percolation if each one remains connected to that of its good parent. To this end, we introduce the notion of fractional percolation on trees, and calculate the related critical probabilities. In this paper we are interested in majority bootstrap percolation on very high-dimensional lattices, and more generally on arbitrary d-regular 'lattice-like' graphs. Thus, the diameter of long-range percolation on the cycle is dominated by the diameter of long-range percolation on the interval. The clairvoyant demon problem also has a natural translation into a percolation problem, this time site percolation rather than edge percolation. We apply percolation theory to the study of lattice graphs in a probabilistic setting. The setting of agreement features of lexically headed noun phrases, on the contrary, involves feature percolation in the morpho-syntactic component. Here, the value = 4 is the universal percolation exponent, which was calculated 3 for the two-dimensional case in [6,9]. Moreover, longer crop rotations improve soil structure, and increase organic matter and water percolation. However, in this approach the fractal character of percolation streamlines is completely lost. The renormalization method of a small parameter in continuum percolation models is reviewed. Mats with little deposited sediment were augmented with additional sterile soil to prevent desiccation and maintain water percolation across the entire mat. In this regard, the role of groundwater recharging structures, such as check dams, farm ponds, percolation tanks, and ravine reclamation structures, is crucial. The variety of analyzed regimes requires not only special description methods, but also applying universal approaches, such as percolation models [6], the selforganized critically approach [3] and correlation scalings [9]. Using the new measure, we conjecture the order of both the critical probabilities for bond percolation and the connective constants for self-avoiding walks on these lattices. Like site percolation, continuum percolation and random geometric graphs exhibit a 2 phase transition [29]. The next question concerns percolation for random-cluster measures on infinite lattices. Percolation on the fitness hypercube and the evolution of reproductive isolation. To avoid these complications we use the single concept of percolation instead of headship in our definitions, as suggested by an anonymous referee for this journal. Here is the characteristic scale, is the small percolation parameter, which describes the closeness of the system to the percolation threshold, and is the percolation exponent. The head percolation table associates with each possible constituent label an ordered list of possible children of the constituent whose head word is passed to the parent. The penetration - or we may even say percolation - causes serious shortfalls in the optic supply of the stage, which is the realm of opsis by definition. At this point of the argumentation, however, it is not quite clear why one should buy into an empty projection (presumably semantically uninterpretable) and an additional technical device called 'percolation'. One important use of defaults in the context of this book is the replacement of a cluster of more specific ' percolation ' principles by a single principle. Attractors, percolation threshholds, and phase limits of granular soils. The properties described above are strongly related to certain growth properties and this indicates already the importance of all these in the theory of random walks, percolation and expanders. Such erroneous percolation, or other processes that may be responsible for the broken agreement effect, may for some unknown reason occur less often in nonnative speakers. The percolation estimates of turbulent transport are usually obtained by the renormalization of the small parameter on the basis of the comparison of characteristic times [6, 50]. Consider first-passage percolation on the square lattice. In a subsequent paper [9] we shall investigate 2-neighbour bootstrap percolation on high-dimensional lattices, and show that the problem essentially reduces to the equivalent question for the hypercube. When = 1, so that a node can only see neighbouring points, we have site percolation on a lattice, a well-studied problem that is still not completely well understood. Presumably address percolation comes automatically with the formation of phrase structure, like the determination of chains and domains, and is therefore not subject to derivational constraints. The modification is suggested of the renormalization condition of the small parameter of the percolation model in accordance with the additional exter nal influences superimposed on the system. One such mechanism is percolation transport [5]. Watershed treatment typically is through afforestation, construction of percolation tanks, farm ponds, check dams, ravine reclamation structures, boulder checks, rubble checks, and vegetative checks for in-situ moisture conservation. Percolation in the hyperbolic plane. Epidemics and percolation in small-world networks. First-passage percolation on the random graph. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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