Sentence examples for be the closed interval from inspiring English sources

Let I̅ be the closed interval set of the interval I.

For the sake of simplicity, let us take the domain of interest to be the closed interval ([0,1]).

Example 4.1 Let X = [ 0, 1 2 ] be the closed interval with the usual metric and let f, g : X → X and ψ, ϕ : [ 0, + ∞ ) → [ 0, + ∞ ) be mappings defined as follows: Let x, y in X be arbitrary. We say that x ⪯ y if x ≤ y. For any x, y ∈ X such that x ⪯ y, we have.

It is x = 0. Example 3.3 Let X = [ 0, 1 2 ] be the closed interval with usual metric and let f, g : X → X and ψ, ϕ : [ 0, + ∞ ) → [ 0, + ∞ ) be mappings defined as follows: f ( x ) = x 2 − x 4 for all  x ∈ X, g ( x ) = x 2 for all  x ∈ X, ψ ( t ) = t 2 for  0 ≤ t ≤ 1 2, ψ ( t ) = 1 2 t for  t > 1 2. Let x, y in X be arbitrary. We say that y ⪯ x if y ≤ x.

Recall that Knopp's Core of a single bounded sequence is the closed interval in [3, page 138].

In the previous paper [15] we defined the discrete Laplacian by (L_{0}psi (x)=frac {1}{2d}sum _{|x-y|=1}psi (y)), and found that the spectrum of L0 is the closed interval [−1,1].

The Riesz core (or P R -core) of a double sequence x = [x jk ] is the closed interval [ P - lim in f m, n t m n q p ( x ), P - lim su p m, n t m n q p ( x ) ].

For example, the convex hull of the set of integers {0,1} is the closed interval of real numbers [0,1], which contains the integer end-points.

Let be a CNS and let be the closed unit interval.

Let (mathbb{T}) be a time scale, (a< b) be points in (mathbb{T}), and ([a,b]_{mathbb{T}}) be the closed (and bounded) interval in (mathbb{T}).

Even though the performance of the two hybrid designs was similar the closed interval resulted in more reproducible and distinct yields.