词汇 | example_english_kernel |
释义 | Examples of kernelThese 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. Then we review kernels in modern learning algorithms, but we can keep this section short because there are good books on the subject. To detect edges, we utilize a general family of edge detectors based on concentration kernels. Furthermore, kernels occur in all three, and this is another reason why kernels are a central tool in meshless methods. Since we want to stay on the numerical analysis side, we only present the most important connection to approximation by kernels. However, the higher order kernels are not necessarily small compared with the lower order kernels. The starch granules were more angular in the dry kernels than in the imbibed kernels, in which the starch granules were rounder and more turgid. Although the kernels were hand-harvested and handthreshed, almost 85% of the kernels had an internal crack of some sort, as judged by visual inspection. I propose to use the numerically evaluated kernels in the general situation. In the end, though, neither of these kernels becomes a fully developed linear narrative. We show how such kernels can be adapted to detect edges with one- and two-dimensional discrete data, with noisy data, and with incomplete spectral information. Compactly supported kernels occur naturally in the partition of unity, but they need not be positive definite. We describe the different techniques currently sailing under this flag, and point out where and how kernels occur. However, they were split over the issue of further increases to the existing prices for palm oil and palm kernels. However, beetles within kernels were gently probed to determine if they were still alive before transferring to the fresh media. The installation consisted of a gilded chest containing corn kernels which was placed at a corner of a dark room (figure 5). Localized kernels are limited to finite order of accuracy, no matter how smooth f is. Table 6.1 lists the appropriate orders of positive definiteness for special radial kernels. One sublot consisted of visually perfect kernels and the other of visually cracked kernels. Halving kernels resulted in extremely high leakage, especially during the first hours of imbibition. However, it provides useful theoretical tools for analysing the kernels which follow next. Concentration kernels can be used to separate scales in the x1 and x2 directions. Figure 7.1 demonstrates how the nonlinear enhancement of concentration kernels helps to pinpoint the location of edges in the discrete and non-periodic set-ups. We shall give here a completely general result, including all kernels. Calculations were performed using shorter kernels but the resulting estimates of average correlation coefficient were too uncertain to be useful. A survey of problems and results concerning orthogonal transition kernels. The tractable situations considered in these papers allow one to obtain the analytical expressions for the spectral kernels. A class of negative definite kernels is defined in terms of measure spaces. A lot that is claimed to carry a certain transgene must be ensured to carry it in a high percentage of the kernels. Most likely, the swelling of the starch granules in the imbibed kernels caused the cracks to close. In all the twelve cracked kernels inspected, thin cracks were observed around the scutellum inside the endosperm tissue. During slow drying of wheat kernels on the ear cut at 5 daa, the typical aleurone layer did not develop. When kernels had been aged, the same type of damage resulted in higher leakage. Variation of the b parameter can also produce a dissociation of relative s-t orientation in first-order versus nonlinear kernels, as seen in some neurons. All kernels tested in this way had a crack of some sort in the endosperm tissue. The same inclusions hold for the kernels of the preorders. Two pools of 3000 kernels are sampled from the lot, one flour subsample is taken per pool, and three measurements are made per flour subsample. The main feature is concentration kernels which enable us to convert global spectral moments into local information in physical space. The results depend on the structures of the kernels ki and on the relations between the orders of magnitude i and si. Functionally, yes, because, if not from a matched internal signal, where else would the pictorial properties present in the kernels come from? Here, we start considering applications of kernels within methods solving partial differential equations. Section 2 starts with a general definition of kernels and provides a short account of their properties. From these matrix-valued kernels, vectorvalued interpolants can be built, which satisfy the additional constraints analytically. There is no numerical integration, no test functions, and up to now there are no kernels. They have in common the use of nonstationary scales of trial functions based on explicit kernels. The shock structure, which comprises the high wavenumber components of the velocity field, can be represented only by higherorder kernels. The mechanical problem then reduces to a set of coupled integro-differential equations for deterministic kernels. Improved time- frequency representation of multicomponent signals using exponential kernels. At the same time, the overall spectral characteristics of the piece are further affected by the positioning of the two speakers under the corn kernels. While such leavings constitute a husk of dancing, they are also the kernels of dance history. The laboratory evaluated two pools of 3000 kernels each. In the present study, black kernels were found in xeric wild barley populations, but not in mesic populations. The initial moisture content (me) of the kernels had no influence on the rate of electrolyte leakage. The objectives of the present study were to determine effects of ageing and different types of damage on the leakage from maize kernels. In maize the stelar lesions were observed in cold-imbibed kernels, but not in warm-imbibed ones. The kernels were divided into two sublots, one with and one without apparent visual cracks in the endosperm. In order to avoid manual transfer of electrolytes, rubber surgical gloves that were previously rinsed in distilled water were used for handling the kernels. Roughly speaking, reducible kernels correspond to disconnected graphs; much of the time, nothing is lost by considering only irreducible kernels. To this end, we derive some guidelines for using kernels in numerical methods, but this will need some general considerations first. We shall refer to this family of kernels based on the p -factors as polynomial concentration kernels. A rigorous justification requires a difficult analysis of the equivalent integral equation with compact kernels. The special form of the kernels is of practical importance for the spatial discretization. Complete expressions are derived for constructing statistical quantities in terms of the kernels, and for the equations of motion of the kernels. Section 5 extends the result for the short-step variation of 4 to the continuous parameter case and gives applications to the well-known continuous parameter kernels. 225 airborne and lands on the plants' silks, entering the kernels. Leakage from isolated pericarps reached a maximum level after one to two hours of imbibition, whereas stripped kernels hardly showed any leakage after one hour. To investigate whether meristematic cells can acquire desiccation tolerance in this case, we studied wheat kernels that were prematurely dried, either slowly or rapidly. Visual inspection can give a reasonable estimate of the extent of internal cracks in maize kernels caused by stress in the field. In addition, the different shapes, weights and thicknesses of the kernels may reduce the chance that cracks are detected. The scutellum cracks apparently have little effect on the germinative capacity of the kernels. Mechanical damage increases leakage early during imbibition, the effect of damage being considerably larger for aged than for unaged kernels. In this case the meaning of the data, which are structured using formal ontologies, can be used to derive new rules for clustering and distributing the tuplespace among multiple kernels. We treat applications of symmetric and unsymmetric collocation, of kernels providing fundamental and particular solutions, and provide the state of the art of their mathematical foundation. The kernels of this expansion contain all statistical information about the ensemble. The proper choice of scalings of kernels or influence regions is a major research area in theory, while proper programming and experimentation gives good practical results. We assume the generic case where these edges lie along simple curves, and we proceed with a straightforward application of one-dimensional concentration kernels which apply dimension-by-dimension. Multifrontal methods have the advantage of allowing dense matrix kernels to be used in the sparse matrix code and can be considered as a generalization of methods for banded matrices. In all of the eight visually perfect kernels inspected, some type of crack was observed, most often thin cracks around the scutellum inside the endosperm tissue. A more comprehensive knowledge of leakage may not only lead to improvement of the conductivity test for maize kernels, but may be of value for other species as well. From the fact that starchy endosperm cells are dead in mature kernels, it does not automatically follow that these cells are not desiccation tolerant at early stages of development. Methods are developed depending on metrics between the individuals in a training set, and on the related idea of kernels, and the procedure of predicate rewriting features largely. They are useful both as test functions and trial functions in certain meshless methods for solving partial differential equations, and they arise naturally as covariance kernels in probabilistic models. Even outside machine learning, many useful recovery algorithms use kernels of the above form. With this slightly chaotic background in mind, we survey the major application areas while focusing on a few central issues that lead to guidelines for practical work with kernels. Our analysis shows that kernels of truth exist in both the claim that livestock production decreases the food supply and the claim that livestock production increases it. Finally, the model can show nonlinear interaction kernels with a dip, rather than a peak, at the origin, without a sensitive dependence on the form of the final zeromemory nonlinearity. Optimizing the estimation of nonlinear kernels. Decorrelation was unaffected by the visual eccentricity of receptive fields, the percentage of rectification, the transmission gain, and the degree of space-time separability of cell kernels. Since the kernels have a unique waveform within them they can be identified along two pulses which are fired in quick succession down the same wave path or sound path. The general idea behind this is to employ matrix-valued kernels, which allow us to incorporate these additional features into the rows and/or columns of the matrix. Singular kernels are not directly covered by the standard theory of positive definite kernels, but they work fine in the generalized sense of (6.5), avoiding point evaluation functionals. Here and in the rest of this section we will assume that the coefficients decay sufficiently fast, such that all series are absolutely convergent and lead to continuous kernels. Such a map-note that we do not require that k is a local homeomorphism-is constructed by convolution with suitable kernels after local coordinates have been taken. The kernels cannot flow across their boundaries. Porting statistical parsers with data-defined kernels. A total of 20 kernels were inspected. We do not want to explain this machinery in detail here, because kernels provide a much more general and flexible technique replacing classical neural networks in learning algorithms. There are five major approaches in this area: multipole expansions, often coupled with domain decomposition methods, partition of unity methods, multilevel techniques using compactly supported kernels, preconditioning. Together with (5.1), this technique is able to generate compactly supported kernels, but there are no useful special cases known which were constructed along these lines. Also, we shall use these constructions in the particular case of manifolds with boundary in the next section in order to construct algebras with smooth kernels. The interpretation of multifocal binary kernels. 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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