invariant set

collocation in English

meaningsofinvariantandset

These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withset.
invariant
adjective
uk
/ɪnˈveə.ri.ənt/
us
/ɪnˈver.i.ənt/
not ...
See more atinvariant
set
noun
uk
/set/
us
/set/
a group of similar things that belong together in ...
See more atset

(Definition ofinvariantandsetfrom theCambridge English Dictionary© Cambridge University Press)

Examplesofinvariant set

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.
Moreover, we cannot have invariant arcs or closed curves in a compactinvariantsetif f / is expansive.
From theCambridge English Corpus
The sets of points approaching aninvariantsetas t + sometimes are called stable and unstable manifolds, respectively.
From theCambridge English Corpus
In fact, only finitely many of these periodic orbits can generate a basin is a saddle-hyperbolicinvariantsetand let cell.
From theCambridge English Corpus
We solve this problem and obtain, for each resonant frequency, the existence of aninvariantsetwith homoclinic orbits.
From theCambridge English Corpus
Furthermore, the sliding surface is aninvariantsetmeaning that, once the system reaches the sliding surface, it continues to remain on the sliding surface.
From theCambridge English Corpus
We also tried to establish the conditions under which aninvariantsetis, in an appropriate sense, observable.
From theCambridge English Corpus
However, we briefly describe cases for which g is known to be of finite type and uniquely ergodic on itsinvariantset.
From theCambridge English Corpus
Does the numerical method have a correspondinginvariantsetwhich converges to the trueinvariantsetas t 0?
From theCambridge English Corpus
Any diffeomorphism g that commutes with f can be simultaneously linearized, and this linear map must preserve the sameinvariantset.
From theCambridge English Corpus
The first theorem is the most fundamental: it implies that there exists a nontrivialinvariantset.
From theCambridge English Corpus
We use the fact that entropy does not increase when one restricts the dynamical system to aninvariantset.
From theCambridge English Corpus
Then its interior is a non-dense openinvariantset; we must show it is not empty.
From theCambridge English Corpus
The complement of the precedinginvariantsetis the closure of the orbit of the discontinuity set.
From theCambridge English Corpus
Consider (48), the equation on theinvariantset.
From theCambridge English Corpus
Then there exists aninvariantsetof full measure such that for each we have the following.
From theCambridge English Corpus
Gaps in the unstableinvariantsetfill in suddenly as the bifurcation parameter is passed.
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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