Let S be a subset of the positive integers, and let σ be a permutation of S. We say that σ is a k-avoiding permutation of S if σ does not contain any k-term AP as a subsequence. Similarly, the set S is said to be k-avoidable if there exists a k-avoiding permutation of S.

analytic hierarchy process (ahp) has been criticized considerably for possible rank reversal phenomenon caused by the addition or deletion of an alternative. while in many cases this is a perfectly valid phenomenon, there are also many cases where ranks should be preserved. our findings indicate that using the geometric mean reduces the variance in ratings substantially; hence, yielding lower i...

purpose: to determine whether adding 2% topical cyclosporine (csa) to local and systemic steroids in treatment of endothelial corneal allograft rejection improves the outcome. methods: a prospective randomized treatment trial was carried out on 40 consecutive corneal graft recipients, presenting with the first episode of endothelial graft rejection in two groups. group one (20 patients) receive...

background: the effects of aqueous extract of fadogia agrestis stem at the doses of 18, 36, and 72 mg/kg body weight on alloxan-induced toxicity was investigated in wistar rats. methods: in total, 35 rats of both sexes (132.80±7.22g) were randomized into five groups (a-e): animals in group a received 0.5 ml of distilled water orally on daily basis for 15 days while the alloxanized rats in group...

The initial reports of robotic assisted microsurgery began to appear in the early 1990s. Animal and early human studies were the initial publications. Larger series papers have recently been published from a few institutions. The field of robotic assisted microsurgery is still in evolution and so are adjunctive tools and instruments. It is clearly a different and unique skill set-is it microsur...