| 词汇 | example_english_hyperbolic-geometry |
| 释义 | hyperbolic geometrycollocation in Englishmeanings of hyperbolicand geometryThese words are often used together. Click on the links below to explore the meanings. Or, see other collocations with geometry. hyperbolic adjective uk /ˌhaɪ.pəˈbɒl.ɪk/ us /ˌhaɪ.pɚˈbɑː.lɪk/ formal relating to a way of speaking or writing that makes someone or something sound bigger, better, more, etc., than ... See more at hyperbolic geometry noun[U] uk /dʒiˈɒm.ə.tri/ us /dʒiˈɑː.mə.tri/ the area of mathematics relating to the study of space and the relationships between points, lines, curves, ... See more at geometry Examples of hyperbolic geometryThese 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. This is true by the following elementary arguments from hyperbolicgeometry. In complete analogy to the deterministic case, it follows by standard means in the theory of hyperbolicgeometry that is relative generator. It is a fundamental result of hyperbolicgeometry that there do not exist triangles of arbitrarily large area. We assume the known basics on hyperbolicgeometry, continued fractions and dimension groups; however, we have attached an appendix for the reader's benefit. By their definition, these homeomorphisms have a rigid geometrical structure coming from the hyperbolicgeometry on the universal covering space of the surface. Briefly, quasiconformal surgery will be the key for the geometrical constructions we do and hyperbolicgeometry will provide some of the quantitative estimates. The main reason why hyperbolicgeometry is very useful in complex dynamics is the fact that all holomorphic maps are contractive, when we look at them under the hyperbolic metric. The extension to hyperbolicgeometry is slightly problematic because of the multiplicity of parallel (and 'ultraparallel') lines. Gone is any mention of quaternions or hyperbolicgeometry since tensor calculus subsumes them. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. More generally, the term "motion" is a synonym for surjective isometry in metric geometry, including elliptic geometry and hyperbolicgeometry. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The development of hyperbolicgeometry taught mathematicians that postulates should be regarded as purely formal statements, and not as facts based on experience. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. See the entries on hyperbolicgeometry and elliptic geometry for more information. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The relevant structure is now called the hyperboloid model of hyperbolicgeometry. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Hyperbolicgeometry is the most prevalent geometry in this picture and also the most complicated. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Similarly, the existence of at least one triangle with angle sum of less than 180 degrees implies the characteristic postulate of hyperbolicgeometry. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It could, in the absence of dark energy, occur only under a flat or hyperbolicgeometry. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Hyperbolic space is the principal example of a space exhibiting hyperbolicgeometry. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. He also considered the cases of what are now known as elliptical and hyperbolicgeometry, though he ruled out both of them. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Focused on low-dimensional topology and hyperbolicgeometry, he is a leading researcher in those subjects. 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 hyperbolic Go to the definition of geometry See other collocations with geometry |
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