Sentence examples for be an invariant set from inspiring English sources

Definition 3.1 Let W ⊂ X be an invariant set under σ.

Let be an invariant set under. is said to be an admissible invariant set for if (a) is the closure of an open set in, that is, ; (b) if for some and in as for some, then in ; (c) if such that in, then in ; (d) for any, for.

If \(f(K) = K\), then \(K\) is an invariant set under \(f\).

Moveover, the set ({M}_{V(rho)}) is an invariant set inside the domain of attraction.

In particular, for a point p ∈ M, the orbit pR is an invariant set.

It is easy to get that (-u*, +∞) is an invariant set of system (18).

Then is an invariant set with respect to (2.8) if and only if is nonnegative.

Hence the interior of the first quadrant is an invariant set for the delayed system (4).

First we prove that (mathcal {S}_{1}) is an invariant set.

Then ([0,frac{b}{d} ]times[0,frac{ bc}{ d} ]) is an invariant set for system (1).

Since the stimuli are orthogonal, (v_{2}(t)=0) is an invariant set.