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The set of Debreu integrable functions from Ω to C cb (Y) will be denoted by D Ω, C cb (Y)).
Let f : X → C cb (Y).
C CB : Capital costs of new infiltration basins C CB = ∑ i = 1 ny 25 × N B i d (10).
Let (C cb (Y), ⊕, h) be endowed with the Hausdorff distance h.
Suppose that f : X → (C cb (Y), h) is an even mapping with f(0) = {0} satisfying (3.3).
Since Y is a Banach space, (C cb (Y), ⊕, h) is a complete metric semigroup (see [7]).
Debreu [2] proved that (C cb (Y), ⊕, h) is isometrically embedded in a Banach space as follows.
Then there exists a unique Jensen type cubic set-valued mapping C : X → (C cb (Y), h) such that h f x, C x ≤ 4 L 1 - L φ x, x (5.2). for all x ∈ X. Proof.
In this case, the Debreu integral of f in Ω is the unique element (D) ∫Ω fdν ∈ C cb (Y) such that j((D) ∫Ω fdν) is the Bochner integral of j ○ f.
Since the transmitted block comprises LN coefficients, the number of complex operations per sample is equal to C CB-FMT = KαL log 2 ( L ) + αM log 2 ( M ) + S LN cop sample, (25).
Suppose that f : X → (C cb (Y), h) is a mapping satisfying h 2 f x + y 2 ⊕ f x - y 2 ⊕ f y - x 2, f x ⊕ f y ≤ θ x p + y p (3.3).
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