Sentence examples for upper increasing from inspiring English sources

If F is upper increasing, then F h is nonempty-valued.

The theorem below indicates that under uniform g-modularity, the set of maximizers is strongly upper increasing and strongly lower increasing.

The correspondence F is strongly upper increasing if for every x, y ∈ X with x ≤ y, every a ∈ F ( x ), and every b ∈ F ( y ), there is some p ∈ F ( y ) such that p ∈ [ a, a ∨ b ] ∩ X.

The correspondence F is upper increasing if for every x, y ∈ X, x ≤ y implies that for every a ∈ F ( x ), there is some b ∈ F ( y ) such that a ≤ b.

If (i) F is strongly upper increasing and strongly lower increasing; (ii) ∀ x ∈ X : F ( x ) is a CPO in X; and (iii) ∀ h ∈ A and ∀ x ∈ X : F h ( x ) has a bottom element whenever nonempty, then the fixed point set of F is a CPO.

Assume that u : X × T → R is upper semi-continuous in x on X, for every t in T, and is uniform g-modular on CPO in ( x, t ) on X × T. Let B ( t ) denote the set of maximizers for a given t ∈ T. If every ( a, b ) ∈ B ( t ) × B ( t ′ ) satisfies Conditions 1 and 2 for every t, t ′ ∈ T with t ≤ t ′, then B is strongly upper increasing and strongly lower increasing.

In many cases, they will "overcompensate" with their upper bodies, increasing the stress on elbows.

Senator John Cornyn has a similar leadership role in the upper chamber, increasing his standing among newly elected Republican colleagues.

The 2050 projection shows the upper ages increasing explosively--and that expands further in the projection for 2100.

Last year, the upper range increased to $37,000.

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