Sentence examples for be a connected component from inspiring English sources

Let U be a connected component of ({D}_{0}).

Let D be a connected component of (Omega) [defined by (1)] containing exactly one zero of (p'_n), counting multiplicity.

By the proof of Theorem 4.1, we know Φ ∈ M. Definition 4.2 Let θ ∈ Θ and Ξ α be a connected component of Δ.

Let A be a connected component of I n S * intersecting both I i + and I i - in a nonempty set.

Let (D) be a connected component of the set ({x in Sigma : langle a,x rangle > 0}), and let (Gamma ) denote the boundary of (D), so that (Gamma subset {x in S^3: langle a,x rangle = 0}).

Setting begin{aligned} f z)=p'_n z)/q'_m z), end{aligned}let D be a connected component of (Omega) with exactly k (counting the multiplicities) zeros of f in D. It is well known (cf. [1]) that (f Drightarrow {mathbb D}), where ({mathbb D}) is the unit disk, is a branched covering of degree k of D onto ({mathbb D}).

A subgraph g of G is a weakly connected component if g is a connected component when all directions are removed [ 33].

C1 is connected in G −  S ′, so there is a connected component C of G −  S ′ containing C1. Now, suppose there are C S and C S ′ satisfying the conditions of the lemma.

We say $T \subset X$ is a connected component of $X$ if $T$ is a maximal connected subset of $X$.

Initially, each SpamBand is a connected component.

We write, where,, is a connected component of.