Sentence examples for ordered set for from inspiring English sources

The set ({z in P: z preceq utextit{ for some }u in F x)}) is an inductively ordered set for each (x in P).

F is isotone, that is, (F is ordered-increasing upward) if x ≤ y, then for any z ∈ F ( x ) there is a w ∈ F ( y ) such that z ≤ w. S F ( x ) = { z ∈ X : z ≤ u  for some  u ∈ F ( x ) } is an inductively ordered set for each x ∈ X.

If F satisfies the following two conditions: (1) F is isotone, that is, (F is ordered-increasing upward) if x ≤ y, then for any z ∈ F ( x ) there is a w ∈ F ( y ) such that z ≤ w.   (2) S F ( x ) = { z ∈ X : z ≤ u  for some  u ∈ F ( x ) } is an inductively ordered set for each x ∈ X.  .

If F satisfies the following three conditions: (A1) F is order-increasing upward; (A2) ( S F ( x ), ≤ ) is an inductively ordered set, for each x ∈ P ; (A3) There is a y in P with y ≤ u for some u ∈ F ( y ).

A nonempty set P equipped with a partial order is called a partially ordered set, or poset for short.

(see [17, 18]). is called the control ordered set if (3.2). for arbitrary and.

PiB PET data were reconstructed with ordered set expectation maximization, corrected for attenuation.

In the recent time this theorem has been extended and generalized by several authors in various ways, for instance, the results on the existence of a fixed point in partially ordered sets for first order ordinary differential equations, Fredholm and Volterra type integral equations, among others, have been studied.

It is thus not clear how to design an ordered set of actions for noncooperative beamforming games.

From each of these replicates, an ordered set of p-values for the various SNPs, Pr1≤Pr2≤.≤Prm, is obtained.

In Rasch analysis terms this would be indicated by an ordered set of response thresholds for each of the items.