Sentence examples for ordered increasing from inspiring English sources

In [15], the impulsive functions are required to be ordered increasing; therefore, Theorem 4.1 in this paper extensively generalizes the main results in [15].

F is ordered increasing upward on S; for every s ∈ S, the set F ( s ) is a totally inductive subset of X; the set ⋃ s ∈ S F ( s ) is a chain-complete subset of X; there is an element s 0 ∈ S such that s 0 ≼ X u, for some u ∈ F ( s 0 ).

Corollary 4.9 Let ( S, d X ) be a nonempty subset of the positive cone of a Riesz space ( X, ≽ X ), which contains 0. Suppose a set-valued mapping F : S → 2 S ∖ satisfies the following conditions: 1. F is ordered increasing upward on S;   2.

Both acrylamide and HEMA were found to photopolymerize more rapidly in the more highly ordered (increasing amount of Brij 56; see Fig.  5) LC mesophases.

President Dmitry Medvedev cancelled his departure for the forum and ordered increased security at all airports.

Because of the attacks, Mayor Rudolph W. Giuliani has ordered increased police patrols.

The Russian civil aviation authorities ordered increased security at airports, fearing further attacks.

The government ordered increased security for legislators after a senator from the ruling party died from wounds sustained earlier this week.

He ordered increased security across Russia's capital, its airports and other transport hubs.

New York Governor Andrew Cuomo ordered increased monitoring statewide for the holiday weekend under the direction of the New York Division of Homeland Security and Emergency Services.

While the number of CTPA ordered increased in all departments, the ED had the largest increase.