Sentence examples for connected subset of the from inspiring English sources
So S ( x − y ) ≠ R. Since S has the surjective property on K, then there exists z ∈ K such that S is surjective on x, z; and since S is connected, then 〈 S, y − z 〉 is a connected subset of the real numbers unbounded from above and below, and so it is equal to the real numbers.
Combining this with Lemma 1.4, we conclude that there exists an unbounded connected subset of the set (3.13).
Notice that the continuity of (g^{q}) implies that the set (Gamma ^{q}:=g^{q}([0,1])) is a compact and connected subset of the convex compact set S, (qinmathbb{N}).
The density (average degree) of the networks was similar for each stage, and all of them contained a major component (a connected subset) of the size around 2000 genes.
Let Γ be some relatively open and connected subset of the boundary ∂ Ω.
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.
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.
In a well-known textbook (see Hocking and Young [1961]) on the subject we find a continuum defined as a compact connected subset of a topological space.
A component of a set is meant a maximal connected subset of.
