INTRODUCTION We compared the effects of mechanical ventilation with a lower tidal volume (V(T)) strategy versus those of greater V(T) in patients with or without acute lung injury (ALI)/acute respiratory distress syndrome (ARDS) on the use of opioids and sedatives. METHODS This is a secondary analysis of a previously conducted before/after intervention study, which consisting of feedback and ...

The Newtonian divided-di¤erence operators generate the nil-Coxeter algebra and semigroup. A bijective correspondence between the nil-Coxeter semigroup and the symmetric group is used to provide braid-like diagrams for the former, and corresponding Reidemeister-type moves for the relations. Conditions are given for similar relations to hold in a skew group ring. Interesting extensions of the nil...

Classical and new results concerning the topological structure of skew-products semiflows, coming from non-autonomous maps and differential equations, are combined in order to establish rigorous conditions giving rise to the occurrence of strange nonchaotic attractors. A special attention is paid to the relation of these sets with the almost automorphic extensions of the base flow. The scope of...

Abstract. We construct new examples of cylinder flows, given by skew product extensions of irrational rotations on the circle, that are ergodic and rationally ergodic along a subsequence of iterates. In particular, they exhibit law of large numbers. This is accomplished by explicitly calculating, for a subsequence of iterates, the number of visits to zero, and it is shown that such number has a...

We discuss the representation theory of Hf , which is a deformation of the symplectic oscillator algebra sp(2n) ⋉ hn, where hn is the ((2n+1)-dimensional) Heisenberg algebra. We first look at a more general algebra with a triangular decomposition. Assuming the PBW theorem, and one other hypothesis, we show that the BGG category O is abelian, finite length, and self-dual. We decompose O as a dir...

Nakajima conjectured in [N] that the transition matrix between certain PBW-basis constructed in [LXZ] and the affine canonical basis is upper triangular with the diagonal entries equal to one and the upper diagonal entries in vZ[v]. In this paper, we show that the transition matrix between the PBW-basis in [LXZ] and the canonical basis is upper triangular with the diagonal entries equal to one ...

Abstract Following our previous work on complementary boundary conditions, we write Cartesian product of two copies a space continuous functions the real line as direct sum subspaces that are invariant under cosine family operators underlying Brownian motion. Both these formed by pairs extensions functions: in first subspace form is shaped unequivocally transmission conditions describing snappi...

The theory of Rota–Baxter operators on rings and algebras has been developed since 1960. In 2020, the notion operator a group was defined. Further, it proved that one may define skew left brace any endowed with operator. Thus, gives rise to set-theoretical solution Yang–Baxter equation. We provide some general constructions group. Given map group, we study its extensions state connection betwee...