Sentence examples for correspondences such that from inspiring English sources

Let Z and Y be two topological spaces, and let D be an open subset of Z. Suppose P 1 : Z → 2 Y, P 2 : Z → 2 Y are upper semicontinuous correspondences such that P 2 ( z ) ⊂ P 1 ( z ) for all z ∈ D. Then the correspondence P : Z → 2 Y defined by P ( z ) = { P 1 ( z ) if  z ∉ D ; P 2 ( z ) if  z ∈ D. is also upper semicontinuous.

Let T : C → 2 X be a correspondence such that ( T, S T ) is a local approximating pair.

Theorem 2 Let X be a CPO, and F : X → X be a correspondence such that for every x ∈ X, F ( x ) has a bottom element.

Lemma 4.3 Let ( X, d ) be a metric space, C be a non-empty closed subset of X and T : C → 2 X be a correspondence such that T and T − 1 have closed values.

Let Y be a separable space, let ( Ω, F, μ ) be a complete finite measure space, and let X : Ω → 2 Y be an integrably bounded, nonempty, convex valued correspondence such that for all ω ∈ Ω, X is a weakly compact, convex subset of Y. Denote by S X the set { x ∈ L 1 ( μ, Y ) : x ∈ X μ - a.e.

While you should pay attention to the oil's correspondences, you might want to make special blends that combine scent and correspondences, such as a pick-me-up blend, a relaxing blend, etc. http://wicca.com/.

Also, let us assume that there exists a compact-valued correspondence H : T × X → 2 Y such that F ( t, x ) ⊂ H ( t ) for all t and x.

And as such, that range of people put their trust in the representations made by Confide to protect their private correspondence.

For instance, it has been argued (Carus 1999) that Carnap correctly did not understand Tarski's theory of truth as a traditional correspondence theory such that truth consisted in some kind of agreement of statements or judgements and facts or the world where the latter make true the former.

Hence, we have correspondence (Psi) such that Psi : left( {x'}^{T}, {p'}_3^{m} right) in X times P_3^m mapsto S subset X times P_3^m,where S is a set of solutions for pre-assigned (left( {x'}^{T}, {p'}_3^{m} right)).

Step 2. Denoting the solution set of x as (X^*_{epsilon }(x')), we know that there is a correspondence (Psi) such that Psi : x' in X mapsto X^*_{epsilon }(x') in X.Since ((O')) is linear for given (x'), any convex combination of solutions is a solution to ((O')), so that (X^*_{epsilon }(x')) is convex.