finite dimension
collocation in Englishmeaningsoffiniteanddimension
These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withdimension.
finite
adjective
uk/ˈfaɪ.naɪt/us/ˈfaɪ.naɪt/
having a limit ...
See more atfinite
dimension
noun
uk/ˌdaɪˈmen.ʃən/us/ˌdaɪˈmen.ʃən/
a measurement of something in a particular direction, especially its height, length, ...
See more atdimension
(Definition offiniteanddimensionfrom theCambridge English Dictionary© Cambridge University Press)
Examplesoffinite 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 hasfinitedimension.
From theCambridge English Corpus
While some of our discussion could be extended to systems of arbitraryfinitedimension, the strongest results occur in two-dimensional systems.
From theCambridge English Corpus
Then a closure condition is obtained atfinitedimension.
From theCambridge English Corpus
It is instructive to consider the analogue of viewpoints infinitedimension.
From theCambridge English Corpus
Suppose, then we can consider as a vector space over, of somefinitedimension, say.
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Wikipedia
An algebra over a field "k" is artinian if and only if it hasfinitedimension.
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Wikipedia
In this section, a central simple algebra is assumed to havefinitedimension.
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Wikipedia
The general theory currently only applies when the center manifold itself is offinitedimension.
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Wikipedia
This assumption may not be true for a sheet beam of finite dimensions.
From theCambridge English Corpus
Tunneling occurs because the nuclear wavefunctions have finite dimensions that spread beyond the confines of the classical potential energy curves.
From theCambridge English Corpus
The numerical method is then applied to the case of a cone of finite dimensions rotating in a bath of elastico-viscous liquid.
From theCambridge English Corpus
We are left with proving continuity, and for this we are concerned only with finite dimensions.
From theCambridge English Corpus
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 anyfinitedimension.
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Wikipedia
In finite dimensions, this duality goes in both directions (see below).
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Wikipedia
In finite dimensions, this is equivalent to the pairing being nondegenerate (the spaces necessarily having the same dimensions).
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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
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
Since spectral values need not be eigenvalues, the spectral decomposition is often more subtle than in finite dimensions.
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Wikipedia
Any conductor of finite dimensions has inductance; the inductance is made larger by the multiple turns in an electromagnetic coil.
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Wikipedia
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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