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strictly order preserving if (2.4).
An increasing mapping F : X → U is said to be strictly order increasing whenever x ≺ X y implies F ( x ) ≺ U F ( x ).
Remark 2.4 The definition of f ˆ implies that the solution u of (1) is strictly order stable from below and from above and (Lyapunov) asymptotically stable as an equilibrium of the parabolic problem (11).
Then, according to [11, 13], we see that u is strictly order stable from above and from below and hence it is (Lyapunov) asymptotically stable as an equilibrium of the parabolic problem (11).
Indeed, since the state space of our driving affine process is (mathbb {R}_{geqslant 0}^{d}), we have that r t ≥p t, which is greater than zero as ϕ is strictly order preserving and u is decreasing.
The resulting assembly lists the contigs in a rough ordering along the clone contigs, but does not strictly order or orient them in scaffolds.
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Here was an apparent revival of Plato's idea of a strictly ordered, authoritarian state.
The lay brothers' life is also strictly ordered but is lived in community.
Curiously, Arvo Pärt straddles both Bach and Cage in that his music is largely tonal, strictly ordered and yet also experimental and thoroughly contemporary.
"We have been strictly ordered to search genital areas of all the women who are visiting the prisoners," said the guard, who asked not to be named for fear of losing her job.
ψ t is strictly order-preserving: let ((t,u), tt,v in [0,T]times mathcal {I}_{T}^{circ }), with u
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