small perturbation
collocation in Englishmeaningsofsmallandperturbation
These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withperturbation.
small
adjective
uk/smɔːl/us/smɑːl/
little in size or amount when compared with what is typical ...
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perturbation
noun
uk/ˌpɜː.təˈbeɪ.ʃən/us/ˌpɝː.t̬ɚˈbeɪ.ʃən/
formal
worry
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(Definition ofsmallandperturbationfrom theCambridge English Dictionary© Cambridge University Press)
Examplesofsmall perturbation
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.
In the numerical simulation, the amplitude of oscilation is too large for the theory assumingsmallperturbationto be adapted.
From theCambridge English Corpus
If the exchange with the externality is random and nominal, it works like asmallperturbation.
From theCambridge English Corpus
In the latter contribution the time development of an initialsmallperturbationof the bottom is followed till a finite amplitude is reached.
From theCambridge English Corpus
The adverse pressure gradient becomes so important that it can no longer be regarded as asmallperturbation.
From theCambridge English Corpus
Naturally, for asmallperturbationof an integrable system the section map is asmallperturbationof the map (2).
From theCambridge English Corpus
However, if the flat capped torus is not finite horizon, then its geodesic flow becomes non-ergodic by asmallperturbationoutside the caps.
From theCambridge English Corpus
Taking a = 0, a 1 corresponds to asmallperturbationof this dispersion equation.
From theCambridge English Corpus
Now we are able to decrease the norm under asmallperturbation.
From theCambridge English Corpus
If necessary, it can then be made non-degenerate by an arbitrarilysmallperturbation, as described above.
From theCambridge English Corpus
By making a sufficientlysmallperturbation, we can assume that g satisfies the partial hyperbolicity conditions.
From theCambridge English Corpus
For every time-dependent computation, the initial condition was taken to be the computed steady state with asmallperturbationon one of the control parameters.
From theCambridge English Corpus
Here again, asmallperturbationof (degenerate) integrability gives complex dynamics.
From theCambridge English Corpus
A subsequent stability analysis was then done on a periodic wave which gave the growth rates for the quartet resonance, restricted tosmallperturbationwavenumbers.
From theCambridge English Corpus
An arbitrarilysmallperturbationsuffices to remove the degeneracy and to reduce the special to the general case.
From theCambridge English Corpus
A sequence of orthogonal spheres in which all terms are distinct can be made non-degenerate (without destroying the orthogonality property) by an arbitrarilysmallperturbation.
From theCambridge English Corpus
The projection 1, is asmallperturbationof 1 when is small.
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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