Sentence examples for whenever every from inspiring English sources

chain-complete whenever, every chain C in A has a supremum element in A; that is, ∅ ≠ upp C ⊆ A.  .

Whenever every membership change, our schemes can support a secure group search without re-encrypting all documents.

Definition 3.9 An ordered metric space ( S, d X ) is said to be order-metric complete, whenever every order-Cauchy sequence in S is order-convergent.

(Csubset mathcal{P});   (ii) inversely inductive if every (c.c). in (mathcal{P}) has a lower bound in (mathcal{P}) and strongly inversely inductive whenever every (c.c).

A Riesz space L is called e-uniformly complete (with a given e ∈ L ) whenever every e-uniform Cauchy sequence has an e-uniform limit.

If an action is defined, and based on this, then the network is defined in order to select and execute actions consecutively whenever every pose index is received.

(i) converges to whenever for every with there is a natural number, such that for all.

(ii) is a Cauchy sequence whenever for every with there is a natural number, such that for all.

The sequence is said to be convergent to in the -fuzzy metric space (denoted by ) if whenever for every.

Definition 2.2 A poset P = ( P, ⪰ ) is said to be (i) strongly inductive whenever for every chain C in P, the supremum of C, supC, exists in P;   (ii) strongly inversely inductive whenever for every chain C in P, the infimum of C, infC, exists in P;   (iii) strongly bi-inductive whenever it is both strongly inductive and strongly inversely inductive.  .

strongly inductive whenever for every chain C in P, the supremum of C, supC, exists in P; strongly inversely inductive whenever for every chain C in P, the infimum of C, infC, exists in P; strongly bi-inductive whenever it is both strongly inductive and strongly inversely inductive.