Sentence examples for be of dimension from inspiring English sources
To this end, let C π ′ ∩ B s be of dimension s.
The resonant subspace can be of dimension up to 3 and the small (kappa ) expansion is jointly in (kappa ) and (log (kappa )).
(b′): Reduction to a centre manifold parametrised by the marginally unstable modes (these are preserved by the action of the symmetries and may be of dimension greater than two even for one-parameter bifurcations).
Contrary to the functional observers considered for the standard systems in Darouach [8], where the order of these observers is equal to the dimension r of the functional to be estimated, in this paper the order can be of dimension different of that of this functional.
Theorem 3.1 Let (a) matrices Φ j ( t ) in the kernels (3.2) be continuously differentiable and invertible for t ∈ , j = 1, 2, … , (b) systems (3.6) be of dimension n j, where P j ( t ) = d Φ j ( t ) d t Φ j − 1 ( t ), .
matrices Φ j ( t ) in the kernels (3.2) be continuously differentiable and invertible for t ∈ , j = 1, 2, … , systems (3.6) be of dimension n j, where P j ( t ) = d Φ j ( t ) d t Φ j − 1 ( t ), be hyperbolic for every j in the sense of Definition 2.1 (for k = n ).
