| 词汇 | fractal |
| 释义 | fractal noun[ C ] mathematics specializeduk /ˈfræk.təl/ us /ˈfræk.təl/ a complicated pattern in mathematics built from repeated shapes that become smaller and smaller or larger and larger each time they are repeated, so that the pattern appears the same at whatever scale(= size) it is seen: Romanesco is a type of broccoli that is a neat example of a fractal in nature. He showed that fractals are found everywhere - particularly in phenomena that at first appear chaotic. AndreaAstes/iStock/Getty Images Plus/GettyImages Geometrical shapes -cornered circularly congruently conic cuboid cylindrically lozenge orbicular ovally ovoid parallelogram pentagon polytope prism pyramid quadrilateral rectangle rectangular rhombus three-dimensional You can also find related words, phrases, and synonyms in the topics: Complexity fractal adjective mathematics specializeduk /ˈfræk.təl/ us /ˈfræk.təl/ describing or relating to a complicated pattern that is built from repeated shapes that become smaller and smaller or larger and larger each time they are repeated, or to a complicated situation that is made up of repeated events in a similar way to this: The way that the trunk of a tree divides into smaller and smaller branches and twigs is an approximate fractal pattern.树干逐渐分成小树枝、嫩枝的方式类似一个不规则碎片形。 A coastline is fractal – it looks equally jagged whether examined at a scale of centimetres, metres, or kilometres. He showed the fractal structure of the changing exchange rate between two currencies. Fractal geometry has given scientists new tools for understanding the hidden order in shapes that at first appear random, such as a jagged coastline. A fractal image is created by mathematically generated geometric shapes containing an infinite amount of image detail. This mess is fractal - at whatever level and under whatever degree of magnification the situation is viewed, the pattern of incompetence is repeated. Geometrical shapes -cornered circularly congruently conic cuboid cylindrically lozenge orbicular ovally ovoid parallelogram pentagon polytope prism pyramid quadrilateral rectangle rectangular rhombus three-dimensional You can also find related words, phrases, and synonyms in the topics: Complexity Examples of fractalfractal The reason we apply a uniform random number for rendering fractal is that it can create unique and more diverse forms. The rendered environments are very realistic, often using fractal techniques to construct them. The scaling for both jets and wakes extends over the entire range available; the average fractal dimension is 2.35k0.04 for both flows. The notion of the nature of the stochastic layer corresponding to percolation (fractal) streamline is the foundation of percolation models. A low-power spectrum is observed, suggesting that the structure shows a fractal nature that has no special scales. One of the basic questions about the fractal regime of growth is that structures of all sizes are constantly generated by the instability. Finally, the most widely investigated geometry for fractal growth is the axisymmetric configuration. In a nutshell, fractals provide a metaphor to show global 0 local links. There are three appendices, one each on fractals, modelling programmes and the principles of reflection seismology. Characterization of the spatial aspects of foraging mycelial cord systems using fractal geometry. For cases where fractional kinetics can be applied, there is a fractal support in the phase-space-time description of the system. In this article we determine a formula for fractal and resistance dimensions of two models of uniformly bounded random trees. The invariant sets for such systems are so-called horizontal fractals. Due to fractal basin boundaries, long chaotic transients appear before the system falls into a periodic orbit. More general systems present a new phenomenon: the horizontal lines turn into an invariant fractal foliation. 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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