| 词汇 | example_english_tile |
| 释义 | Examples of tileThese 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. The red tiles have fallen off and fall off the facades of the three university buildings. The facade tiles were attached to the columns from the inside with copper wire. The health care worker decides which six of the tiles he or she will give to the group. As a rough guide to the size of a calculation, we count the number of hexagonal tiles in the substitution region. Next we recall the definition of the tiling dynamical system associated with the substitution ; see for more details. A point in the inverse limit is then a consistent prescription for constructing a tiling out to infinity. Therefore, tiles of the second level are composed uniquely. To get an idea of what these tiling spaces look like, consider the substitution on two letters given by = 12, = 122. An easy example for this is the system defined by the two one-dimensional tiles and. We therefore have to show that a real set of steps can't be built by tiling according to our rules. A translation moves the black tiles into the white ones. In this paper we shall concentrate on flat tiles only. The fundamental concept that gives the basis of both logics is the introduction of suitable auxiliary tiles, modelling all the consistent rearrangements of the interfaces. The piece of mosaics could also be tiled with different angles to obtain complex figures. How does the tiling behavior of astrocytes contribute to their interconnectivity? Then, three stacks of three roof tiles each were placed by both the entry and exit ways, with the stacks one pace apart. A cyclic permutation of the tiles in w typically yields a word that works as well. Limits and boundaries of word and tiling substitutions. The map consists of several dozen handpainted tiles, illustrating the extensive facilities and marking the quickest routes to them. We can also study spectral properties by considering the function space associated to the sequence or tiling dynamical system. The function h1 will assign tiles to all points y in the tower, except those in a collar of width two. Implements varied in shape and size with alternative arrangements for the clay cylinder, the aperture and the mechanisms for forming and cutting the tiles. The tiles in the fourth row are the auxiliary tiles common to all representations of logic programs. Moreover, the horizontal and vertical identities are always added and composed together with the basic tiles. The plane is tiled into small squares, and the normalized firing rates of the different complex-cell types are summed at each spatial location. All include mosaic tiled treads and copper flush pipes. Finally, we give criteria for a (deformed) substitution tiling space to be topologically weakly mixing. Once we determine the heights of the tiles, namely define a2 appropriately, we will work with the widths to get them alternating as well. Extraordinary nonperiodic tiling that enriches the theory of tiles. Visible tiles are those reached without crossing opaque edges.! The requirement that tiles appear in only a finite number of orientations is more serious. We first construct a complex by taking the disjoint union of prototiles in the tiling, modulo identification of edges where tiles can meet. In every substitution tiling space there exists a fixed point of some power of the substitution. If two tiling systems have identical combinatorics, then the tiling spaces are homeomorphic, but their dynamical properties may differ. One natural question is when two tiling spaces have topologically conjugate dynamics. By the definition of our tiling space, all patches are determined by allowed words of the substitution space. In short, an (admissible) 1-cocycle defines a deformation of a tiling by redefining the shape of its tiles. Let us describe the adjacency rules for these tiles, which define when a tiling is locally valid. However, it is a substitution tiling system in the extended sense of this paper. To a large extent, the interest in substitution tiling systems is due to the fact that they are conjugate to finite-type systems. Our first result states that a semiconjugacy for such substitutions induces a semiconjugacy on the level of tiling spaces. Actually, we will restrict ourselves to a special case when the spectral properties of the tiling dynamical system can be completely determined. Any two tiles of the same type must be translations of each other. The requirement of polygonal tiles is mostly for convenience. The eventual goal is to classify tiling spaces up to homeomorphism, and the existence of a bundle structure is an important first step. Along the ridge the tiles are piled up to stress the connection with earth. In addition, nearly half of the tiles were taken off the roof for sunlight and subsequently all the contents of the house were destroyed. Likewise, for the symmetric monoidal case we have an alternative (intuitive) characterization for the auxiliary tiles of cartesian double categories. The second application is tiling in the hyperbolic plane. The cancer patients were then g rouped into ter tiles on the basis of fatigue scores. The second way to see this is a better analysis of the tiling group (see [4, 6]). We can now form the four different tiling systems by taking the appropriate unions. We want to show that each upper boundary allows a tiling above with the other boundary being flat. In order to describe the corresponding system in more detail we define the following set of tiles. In this tiling, the tiles are simply parallelotopes, but, of course, the tiling depends on the basis of the lattice. In this scheme, all curves are parallel and continue indefinitely when the square tiles the plane. Starting from basic tiles, more complex tiles can be constructed by means of horizontal, vertical and parallel composition. A complete invariant for the topology of one-dimensional substitution tiling spaces. The floor of the loggia is paved with large blue floor tiles. The external plaster is the protection of the facade, just as the roof tiles are the protection of the upper part of the building. The tiles have been removed and replaced with grass, to reduce maintenance and so as to make the courtyard friendlier for student users [5]. Through the wave profile of the over- and underlapping tiles, which add to the formal effect, it survives every kind of weather. Their results suggest that writing a word on paper is a more effective way of learning its spelling than forming the word with letter tiles. They found no significant differences among writing, sorting letter tiles, and typing on a computer as a means of learning a word's spelling. Triangulating all tiles of the grid by a diagonal, one has three choices for any step: row 1, row 2 or the diagonal. In addition to the above tiles we allow paths of different colour to share a unit square. The last four tiles in (13) give relations whose images should be equal to the identity. In the bond model the half-edges are needed so that edge sets are disjoint between adjacent tiles. The higher-paid health care workers retained fewer valuable tiles, reflecting their pay and how monitors scrutinized higher-paid workers with greater frequency. Let us analyze the corresponding tiling dynamical system. We conclude that the tiling dynamical system has both discrete and continuous spectral components. We investigate the dynamics of tiling dynamical systems and their deformations. Two tiles intersect, if at all, along a common boundary arc. However, the tiles of the self-similar tiling may not be polygonal; rather, they may have fractile boundaries. Even if two tiles coincide as geometric objects, they may be distinguished. Once the location of the vertices of (x) are specified, constructing the edges and tiles is straightforward. Thus, it is to be expected that a considerable part of the material presented here can be extended to higher dimensional tiling dynamical systems. A tiling space that satisfies the above hypotheses is a fiber bundle over the torus, with totally disconnected fiber. Here we see 2-cells bounding tiling polygons whose images contain vertices. One choice is the standard suspension, where all the tiles have length one. Let us begin with a substitution tiling as we have been considering. Again, the collared tiles are named below it because the substitution rule does not force its border. First, we prove the existence of enough diagrams to start a tiling process, then we check whether all tiles are decreasing. Further, the tiles are stacked flush against each other, with no drift. The floor was white marble, and the checkerboard tiles below the baldechino were pink and black. The agent's primary task is to fill holes with tiles. The technique functioned best with clay tiles; however, many of the plants became unstuck and fell to the ground, where they disappeared from sight. The tiles in the first row are those associated to the three clauses of the program. A separate a posteriori variance factor is estimated for each of the tiles. To reduce the computational load the area of interest is separated into tiles, which are evaluated separately and re-merged afterwards. Here he focuses on art (primarily sculpture), and the use of regional building materials including stamped roof tiles. In the following sections we will consider tilings of the plane by a fixed set of square tiles. The term over tiling means that the tiles cover the region but some parts of them can extend beyond the region. In 2, we recall some standard background on tiling spaces, their solenoid structures and their description as projective limits of branched manifolds. In 2, we address question 3 using dynamical cohomology, while in 3, we address question 3 using tiling homotopy/(co)homology groups. As defined, the degree of a repetition vector depends on the length vector of the tiling space. We give criteria for such a tiling space to be weakly mixing, and for the dynamics of two such spaces to be topologically conjugate. Were there two complex conjugates, they would be of different magnitude and distort the tiles. Here we present a construction of eigenfunctions, which in many cases leads to a complete characterization of (not) weakly mixing tiling dynamical systems. 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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