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单词 codimension
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Examples ofcodimension

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One would not expect to observe the more degenerate (highercodimension) singularities like transcritical bifurcations.
From theCambridge English Corpus
Indeed, given (4.8) then we see that we have (4.9) unless some relations-a linear manifold of positivecodimension-holds among the coefficients.
From theCambridge English Corpus
We want to give an interpretation of this as an average asymptotic linking number of a suitable vector field and a measuredcodimension-two foliation.
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Let us now describe the construction of a return map on acodimension-one surface of section.
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The half-spaces, of - which it is the intersection, are determined bycodimension-one subspaces orthogonal to the edges connecting vi to neighboring vertices.
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Such paths of singularities may in turn have singularities at more degenerate (highercodimension) singularities.
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These are proved to be the onlycodimension-one bifurcations.
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This property is shared by the unfoldings of finitecodimensionparabolic germs.
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The behaviour as the system parameters are varied slightly away from thecodimension-n point can be investigated using the normal forms (universal unfolding).
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Surfaces intersect the sphere in curves, which meet in points corresponding to curves ofcodimension-two bifurcations in the bifurcation set.
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The rotating double-diffusive system is consequently expected to show a line ofcodimension-two points that accumulate at a codimension-three point (a tertiary bifurcation).
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The idea is to consider the full 'ensemble' (family of graphics), including the bordering graphic(s) which may or may not have highercodimension.
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Roughly speaking, they obtain topological results about certain manifolds provided they admit specialcodimension1 immersions.
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This work points in the direction of trying to get a global picture of all thecodimensiontwo bifurcations for diffeomorphisms.
From theCambridge English Corpus
In this article, we classify the germs of holomorphic singular simple foliations ofcodimension1 and dimension n 3, in the resonant case.
From theCambridge English Corpus

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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更新时间:2024/12/28 2:07:04