Sentence examples for minimal closed set from inspiring English sources

Indeed, it is the minimal closed set with this property.

In fact, Λ ( D ˆ 0, t ) defined above is the minimal closed set with this property.

It is the minimal closed set such that, for (tinmathbb{R}) and (Bsubset X), dbigl(S t,s omega B, A omega bigr)rightarrow0, quad srightarrow- infty.

Given the constraints on the indegree and outdegree of each node, it follows that all in- and outdegrees are equal to two, and that all outputs of elements from a minimal closed set I are also inside I. Therefore [ n ] is the union of pairwise disjoint minimal closed sets I ℓ, for ℓ ∈ [ L ], with 2 ≤ | I ℓ | ≤ n for all ℓ.

Let (S t,s omega)_{tgeq s,omegainOmega}) be a stochastic dynamical system, and let (A omega)) be a stochastic set satisfying the following conditions: (1) It is the minimal closed set such that, for (tinmathbb{R}) and (Bsubset X), dbigl(S t,s omega B, A omega bigr)rightarrow0, quad srightarrow- infty.

By Theorem 3.1, we can conclude that U ( t, τ ) maps S V 2 q into bounded sets in C V if t ≥ τ + h, and also maps bounded sets from S V 2 q into bounded sets of C V. Noting that A S V 2 q ( t ) is the minimal closed set, and using Lemma 2.5 and the above arguments, we deduce that f ( A C V ( t ) ) also attracts bounded sets in S V 2 q in a pullback sense.

By a dual concept of minimal open sets and maximal open sets, the authors in [1] introduced the concepts of minimal closed sets and maximal closed sets, and obtained some results easily by dualizing the known results regarding minimal open sets and maximal open sets.

If you have close-set breasts, look for a narrow gore with minimal separation.

Moreover, Bhattacharya [7, 8] introduced the new concepts of generalized minimal closed sets and IF generalized minimal closed sets.

Soon after the two first bacterial genomes from Haemophilus influenzae [ 2] and Mycoplasma genitalium [ 3] were sequenced, Mushegian and Koonin compared them and proposed 256 genes as a close estimate of a minimal gene set [ 4].

The tool provides a means to model non-holonomic HPMBS with sets of minimal closed-form hybrid differential equations; these equations are minimal in the sense that there are no Lagrange multiplier equations required.