The Lucas-Lehmer (LL) test is the most efficient known for deterministically testing the primality of Mersenne numbers, i.e., the integers Ml = 2 l − 1, for l ≥ 1. The Mersenne numbers are so-called in honour of the French scholar Marin Mersenne (1588-1648), who in 1644 published a list of exponents l ≤ 257 which he conjectured produced all and only those Ml which are prime, for l in this range...

Introduction Sexual life and sexual satisfaction are associated with psychological well-being. It has already been shown that is related to myths or stereotypes, somesociodemographic sociosultural variables, gender. However, we have not met any study in which socioeconomic status, gender roles were taken together. Objectives The aim of this was investigate whether status predicts through roles....

--Study Objective: To demonstrate the safety of minimally invasive surgical treatment of 8 – 13 cm adnexal masses felt to be benign, to confirm the negative predictive value of ACOG Committee Opinion 280 for selecting women whose adnexal masses are unlikely to be malignant and, based on these data, to advocate for acceptance of a new treatment algorithm featuring Minimally Invasive Surgery in t...

Let W [n] be an independent random sequence with constant mean µ W = 0 and variance σ 2 W. Define a new random sequence X[n] as follows: X[0] = 0 X[n] = ρX[n − 1] + W [n] for n ≥ 1. (a) Find the mean value of X[n] for n ≥ 0. (b) Find the autocovariance of X[n], denoted as K XX [m, n]. (c) For what values of ρ does K XX [m, n] tend to G[m − n], for some finite-valued function G, as m and n becom...