Sentence examples for expansive f from inspiring English sources

f is expansive, f is transitive Anosov.

f is continuum-wise expansive, f has the shadowing property, f has the weak specification property.

The difference between adenoid hypertrophy and malignancy is asymmetric or diffusely expansive F-FDG uptake with or without correlating morphologic lesion on diagnostic CT.

Our results indicated that the difference between adenoid hypertrophy and malignancy is asymmetric or diffusely expansive F-FDG uptake with or without correlating morphologic lesion on diagnostic CT in children under 10 years of age.

Lemma 4.5 There is a residual set R 3 ⊂ Diff ( M ) such that for any continuum-wise expansive map f ∈ R 3, f ∈ F ( M ).

T r is single-valued; T r is a non-expansive mapping; F ( T r ) = F ( T ) ; F ( T ) is closed and convex.

Then a mapping S on C defined by S x = ∑ n = 1 ∞ λ n T n x for x ∈ C is well defined, non-expansive and F ( S ) = ⋂ n = 1 ∞ F ( T n ) holds.

A multi-valued mapping T : C → N(C) is said to be quasi-ϕ-asymptotically non-expansive if F ( T ) ≠ 0̸ and there exists a real sequence {k n } ⊂ [1, ∞) with k n → 1 such that ϕ ( p, w n ) ≤ k n ϕ ( p, x ), ∀ n ≥ 1, x ∈ C, w n ∈ T n x, p ∈ F ( T ). (1.6).

(2) A multi-valued mapping T : C → N(C) is said to be quasi-ϕ-asymptotically non-expansive if F ( T ) ≠ 0̸ and there exists a real sequence {k n } ⊂ [1, ∞) with k n → 1 such that ϕ ( p, w n ) ≤ k n ϕ ( p, x ), ∀ n ≥ 1, x ∈ C, w n ∈ T n x, p ∈ F ( T ).

Let E be a uniformly convex and uniformly smooth Banach space and C be a nonempty closed and convex subset of E. If (B C to C) is weakly relatively non-expansive, then (F(B)) is a closed and convex subset of E.

Since e is an expansive constant for F, x = y and hence δ is an expansive constant for F k. Conversely, if F k is expansive with an expansive constant ε then for any x, y ∈ X, x ≠ y, there exists n ≥ 0 such that d ( G n ( x ), G n ( y ) ) > ε which implies d ( F n k ( x ), F n k ( y ) ) > ε proving that ε is an expansive constant for F. Let N be any positive integer.