This paper deals with the problem of finding a base and strong generating set for the group generated by a given set of permutations. The concepts of base and strong generating set were introduced by Sims [5], [6] and provide the most effective tool for computing with permutation groups of high degree. One algorithm, originally proposed by Sims [7], is described in detail; its behavior on a num...

Background: Despite its importance in understanding acid-base pathophysiology, many physicians do not comprehend the concept of the strong anion gap (SIG), the core of the Stewart acid-base approach. The quantitative difference between the anion gap and the strong ion gap is not established. This paper will give insight into this difference over a variety of conditions Methods. The empiric diff...

Introduction: Hemangiomas are the most common tumors of infancy and infantile hemangiomas are the most common vascular tumors. The etiology of this tumor is unknown. Hemangiomas commonly occur in the skin followed by the deep tissues (intramuscular) and rarely within bones. Case Presentation: Hereby, the case of a 6-month-old girl whose whole left lower limb f...

in this paper, we prove the strong uniform consistency and asymptotic normality of the kernel density estimator proposed by jones [12] for length-biased data.the approach is based on the invariance principle for the empirical processes proved by horváth [10]. all simulations are drawn for different cases to demonstrate both, consistency and asymptotic normality and the method is illustrated by ...