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词汇 cotangent-space
释义 BETA

cotangent space

collocation in English

meanings of cotangentand space


These words are often used together. Click on the links below to explore the meanings.
cotangent
noun[ C ]
uk /kəʊˈtæn.dʒənt/ us /koʊˈtæn.dʒənt/
a function (= a mathematical relation) of an angle that is the reciprocal (= number) ...
See more at cotangent
space
noun
uk /speɪs/ us /speɪs/
an empty area that is available to ...
See more at space


Examples of cotangent space


cotangent space
Typically, the cotangentspace is defined as the dual space of the tangent space at "x", although there are more direct definitions (see below).
From
Wikipedia

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For mechanical systems, the phase space usually consists of all possible values of position and momentum variables (i.e. the cotangentspace of configuration space).
From
Wikipedia

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Likewise, cotangentspace is a contravariant functor, essentially the composition of the tangent space with the dual space above.
From
Wikipedia

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The cotangentspace will then consist of all the possible first-order behaviors of a function near x.
From
Wikipedia

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The tangent space is, the dual vector space to the cotangentspace.
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The tangent space and the cotangentspace at a point are both real vector spaces of the same dimension and therefore isomorphic to each other via many possible isomorphisms.
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Wikipedia

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The cotangentspace at a point is the dual of the tangent space at that point, and the cotangent bundle is the collection of all cotangent spaces.
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Wikipedia

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The term "microlocal" implies localisation not only with respect to location in the space, but also with respect to cotangentspace directions at a given point.
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Wikipedia

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Analytic mappings induce pushforward maps on tangent spaces and pullback maps on cotangent spaces.
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.
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