In discrepancy minimization problems, we are given a family of sets S = {S1, . . . , Sm}, with each Si ∈ S a subset of some universe U = {u1, . . . , un} of n elements. The goal is to find a coloring χ : U → {−1,+1} of the elements of U such that each set S ∈ S is colored as evenly as possible. Two classic measures of discrepancy are l∞-discrepancy defined as disc∞(S , χ) := maxS∈S | ∑ ui∈S χ(u...

The aim of this survey paper is to give an updated overview of results on low discrepancy sequences obtained via Atanassov’s methods. These methods first initiated for Halton sequences have been later on extended to generalizations of these sequences and to (t, s)sequences, the other well known family of low discrepancy sequences, including polynomial arithmetic analogues of Halton sequences.

the development and widespread use of a prophylactic vaccine significantly reduced the incidence of poliomyelitis. at present we more commonly encounter with poliomyelitis sequelae especially in developing countries. we evaluate the results of a modified innominate osteotomy for leg length discrepancy in poliomyelitis. instead of triangular bone graft as in salter’s innominate osteotomy , a tra...

conclusions we report of loss of achieved length after lengthening with a telescopic nail. weight bearing before complete consolidation of the regenerate might be a risk factor for that. thorough examination of the limb length and careful evaluation of the radiographs are required in the follow-up period. the precice nail system requires the same vigilance like the other intramedullary systems ...