[Hodgson CL, Tipping CJ (2016) Physiotherapy management of intensive care unit-acquired weakness.Journal of Physiotherapy63: 4-10].

We study the problem of sampling contingency tables (nonnegative integer matrices with specified row and column sums) uniformly at random. We give an algorithm which runs in polynomial time provided that the row sums ri and the column sums cj satisfy ri (n 3/ m log m), and cj (m 3/ n log n). This algorithm is based on a reduction to continuous sampling from a convex set. The same approach was t...

The first total synthesis of (+)-cytosporolide A was achieved by a biomimetic hetero-Diels-Alder reaction of (-)-fuscoatrol A with o-quinone methide generated from (+)-CJ-12,373. The dienophile, highly oxygenated caryophyllene sesquiterpenoid (-)-fuscoatrol A, was synthesized from the synthetic intermediate in our previous total synthesis of (+)-pestalotiopsin A. The o-quinone methide precursor...

Given a real and invertible d×d matrix C, we define for k ∈ Zd a generalized translation operator TCk acting on f ∈ L 2(Rd) by (TCkf)(x) = f(x − Ck), x ∈ R . A generalized shift-invariant system is a system of the type {TCjkφj}j∈J,k∈Zd , where {Cj}j∈J is a countable collection of real invertible d×d matrices, and {φj}j∈J ⊂ L 2(Rd). Generalized shift-invariant systems contain the classical wavel...

We study the problem of minimizing the average weighted completion time on a single machine under the additional constraint that the sum of completion times does not exceed a given bound B (1 !Cj B !wjCj) for which we propose a 2 1 -approximationalgorithm. We also address the problem1 !c jCj B !wjCj for which we present a 2 2 -approximation algorithm. After showing that the problem of minimizin...

The satisfiability problem (SAT) which is known to be NP-complete (7) plays a central role problem in many applications in the fields of VLSI Computer-Aided design, Computing Theory, and Artificial Intelligence. Generally, a SAT problem is defined as follows. A propositional formula Φ = ∧m j=1 Cj with m clauses and n Boolean variables is given. Each Boolean variable, xi, i ∈ {1, . . . , n}, tak...

Sea slug (Subclass Heterobranchia) biodiversity is an important element of marine coral reef communities. However, due to their small size and cryptic behavior, few studies have examined spatiotemporal variation. Taiwan in the middle East Asia Island Arcs, where it one hotspots sea diversity. Meanwhile, northeast coast this island lies within subtropical monsoon region, climate shifts from a wa...

In this paper, we analyze well-known online algorithms for the following problems: 1|rj , pmtn| ∑ j wjCj , 1|rj | ∑ j wjCj , Q|rj , pmtn| ∑ j Cj and P |rj | ∑ j Cj . We consider the Weighted Shortest Processing Requirement (WSPR) heuristic, its non-preemptive version (NWSPR), the Shortest Remaining Processing Requirement on Fastest Machine (SRPR-FM) heuristic, and the Shortest Processing Requir...

In this paper we introduce a new ranking algorithm, called Collaborative Judgement (CJ), that takes into account peer opinions of agents and/or humans on objects (e.g. products, exams, papers) as well as peer judgements over those opinions. The combination of these two types of information has not been studied in previous work in order to produce object rankings. We apply CJ to the use case of ...