A component of is meant a maximal connected subset of, that is, a connected subset of which is not contained in any other connected subset of.
where f : X × Y → R, g = ( g 1, g 2, …, g m ) : X → R m, X is an open arcwise connected subset of R n, Y is a compact subset of R m and f ( x, ⋅ ) is continuous on Y for every x ∈ X. X 0 = { x ∈ X | g j ( x ) ≤ 0, ∀ 1 ≤ j ≤ m } denote the set of feasible solutions of (P).
A component of a set is meant a maximal connected subset of.
That is, given an open subset Ω of [ 0, + ∞ ) × C T ( M ), it is a result which provides sufficient conditions for the existence of a global bifurcating branch in Ω, meaning a connected subset of Ω of nontrivial T-periodic pairs whose closure in Ω is noncompact and intersects the set of trivial T-periodic pairs.
[29] A component of a set M is meant a maximal connected subset of M. Lemma 2.1.
It is obvious that the set (bigcup_{jin J}sigma_{j}) is an arcwise connected subset of S joining the 'upper' vertex (overline{v}^{n}) of S with the 'bottom' (langle{overline{v}^{i}: iin[n-1]} rangle) of S. Since (0in l sigma_{J})), we have that (h_{n} v >0) for the unique vertex of (sigma_{J}) for which (l v =0).
It should also be noted that SOD1 inhibition might have broad-spectrum applicability beyond the RAD54B-specific paradigm presented here, as it is a member of the highly connected subset of SL partner genes described in this study.
For each u ∈ H, the component of a point x ∈ F ( u ) is the union of all the connected subsets of F ( u ) containing x.
For each R ∈ M, the connected component of a point x ∈ Ξ ( R ) is the union of all the connected subsets of Ξ ( R ) containing x.
Then T ∞ is an upper semicontinuous map from C ( J 0, R n ) to the compact connected subsets of C ( R, R n ).
