Sentence examples for be the nearest point from inspiring English sources

Let be the nearest point of to.

Set and let be the nearest point projection from H toF. Lemma 3.1The sequence is convergent in norm.

Lemma 1.6 Let C be a nonempty closed and convex subset of a complete CAT ( 0 ) space X, let π : X → C be the nearest point projection mapping, and let { x n } be a sequence in X.

Let P be the nearest point projection of C onto F. For an initial value x 1 ∈ C, define { x n } as given in (2.1), where α n, β n ∈ [ a, b ], with 0 < a ≤ b < 1.

For any nonempty subset C of a CAT ( 0 ) space X, let π : = π C be the nearest point projection mapping from X to a subset C of X.

We suppose on the contrary and let η := d x0, T μ x) > 0. Let I = [T μ x, x0] and π I : C → I be the nearest point projection onto I. Since {T s x} is bounded, there exists M > 0 such that d(T s x, π I (T s x)) ≤ M for all s ∈ S. Set N 0 > 4 ( M + η ) 5 η and ρ = η 5 N 0. Suppose there exists s0 ∈ S such that d(π I (T s x), x0) ≥ 2ρ for all s ≽ s0.

Cabo Verde is named for the westernmost cape of Africa, Cape Verde (French: Cap Vert), which is located in nearby Senegal and is the nearest point on the continent.

It is situated on a low plateau about 100 miles (160 km) southeast of Nóqui, which is the nearest point on the Congo River.

Then is the nearest point of to.

We also assume that is the nearest point of to.

Then converges to which is the nearest point of to.