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...

The current state of the art on studying whey is considered. processes and methods processing (thermal, chemical, physicochemical, biotechnological, electrophysical) are presented. Thermal isoelectric precipitation proteins, using reagents coagulants, as well main membrane (reverse osmosis, diafiltration, microfiltration, ultrafiltration, nanofiltration) described. Possibi-lities effective sepa...

Objective Background: 2% to 6% of vasectomized men will ultimately seek vasectomy reversal and late stricture and obstruction after operation are relatively common. Objective: To find a method for improving of vasovasostomy outcomes, we used intra-operative local mitomycin-C to prevent possible fibrosis and stricture. MaterialsAndMethods Design, setting, and participants: 44 patients in our ref...