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词汇 example_english_finite-dimension
释义

finite dimension

collocation in English

meanings of finiteand dimension


These words are often used together. Click on the links below to explore the meanings. Or, see other collocations with dimension.
finite
adjective
uk /ˈfaɪ.naɪt/ us /ˈfaɪ.naɪt/
having a limit ...
See more at finite
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 finite dimension


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.
It is well-known that this space has finitedimension.
While some of our discussion could be extended to systems of arbitrary finitedimension, the strongest results occur in two-dimensional systems.
Then a closure condition is obtained at finitedimension.
It is instructive to consider the analogue of viewpoints in finitedimension.
Suppose, then we can consider as a vector space over, of some finitedimension, say.
From
Wikipedia

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An algebra over a field "k" is artinian if and only if it has finitedimension.
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In this section, a central simple algebra is assumed to have finitedimension.
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The general theory currently only applies when the center manifold itself is of finitedimension.
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Wikipedia

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This assumption may not be true for a sheet beam of finite dimensions.
Tunneling occurs because the nuclear wavefunctions have finite dimensions that spread beyond the confines of the classical potential energy curves.
The numerical method is then applied to the case of a cone of finite dimensions rotating in a bath of elastico-viscous liquid.
We are left with proving continuity, and for this we are concerned only with finite dimensions.
The shapes studied in geometric modeling are mostly two- or three-dimensional, although many of its tools and principles can be applied to sets of any finitedimension.
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Wikipedia

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In finite dimensions, this duality goes in both directions (see below).
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Wikipedia

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In finite dimensions, this is equivalent to the pairing being nondegenerate (the spaces necessarily having the same dimensions).
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Wikipedia

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In finite dimensions, such an affine subspace corresponds to the solution set of an inhomogeneous linear system.
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Wikipedia

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In finite dimensions, these are simply algebras of all matrices of a given size whose nonzero entries lie in an upper-triangular pattern.
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Wikipedia

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Since spectral values need not be eigenvalues, the spectral decomposition is often more subtle than in finite dimensions.
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Wikipedia

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Any conductor of finite dimensions has inductance; the inductance is made larger by the multiple turns in an electromagnetic coil.
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 finite
Go to the definition of dimension
See other collocations with dimension
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