| 词汇 | example_english_fractal-dimension |
| 释义 | fractal dimensioncollocation in Englishmeanings of fractaland dimensionThese words are often used together. Click on the links below to explore the meanings. Or, see other collocations with dimension. fractal noun[C] uk /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 ... See more at fractal dimension noun uk /ˌdaɪˈmen.ʃən/ us /ˌdaɪˈmen.ʃən/ a measurement of something in a particular direction, especially its height, length, ... See more at dimension Examples of fractal dimensionThese 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 scaling for both jets and wakes extends over the entire range available; the average fractaldimension is 2.35k0.04 for both flows. In this article we study two exponent measures of the structure of the tree: the fractaldimension and the resistance dimension. Fractaldimension can be quantified in terms of capacity dimension and correlation dimension. However, there are many other transformations which preserve the fractaldimension. The fractaldimension of sets derived from complex basis. In general the fractaldimension of a fractal antenna is a poor predictor of its performance and application. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The uncertainty exponent is ideally tailored to measure the fractaldimension of this type of system. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. If the theoretical fractaldimension of a set exceeds its topological dimension, the set is considered to have fractal geometry. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Several formal mathematical definitions of different types of fractaldimension are listed below. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The levels are related by a ratio called the fractaldimension. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Fractaldimension is altered in some motor dysfunctions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This would correspond to a fractaldimension of 2. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The fractaldimension is approximately 2.473946 (1 in the last digit). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Instead, a fractaldimension measures complexity, a concept related to certain key features of fractals: self-similarity and detail or irregularity. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Pietronero argues that the universe shows a definite fractal aspect, over a fairly wide range of scale, with a fractaldimension of about 2. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For example, in 2 the fractaldimension is, for 3 it is close to while for the fractaldimension is. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The fractaldimension of a single contour will be between 1 and 2. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The figure below shows the fractaldimension of an advected contour as a function of time, measured in four different ways. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There is a relationship between chaos and fractalsthe "strange attractors" in chaotic systems have a fractaldimension. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. 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. Want to learn more? Go to the definition of fractal Go to the definition of dimension See other collocations with dimension |
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