his study was carried out to determine the importance of type 2 Diabetes mellitus as a risk factor for osteoporosis in postmenopausal women. Materials and Methods: This study was conducted in 2004 on 40 diabetic and 40 healthy postmenopausal women attending the endocrine clinics in Zanjan. These two groups were matched in terms of age, length of their menopausal period and body mass index. Seru...

In group theory, it is a fundamental question to determine what information about a group is necessary and sufficient tomake a group finitely presented. In this paper, we develop the theory of Σ-invariants due to Robert Bieri and Ralph Strebel [Bieri] whi provides an answer to this question for the class of metabelian groups. We begin our study of Σ-invariants with a digression on group extens...

This equation expresses U2 as the ratio of two positive definite integrals. Accordingly, the solution is stable; moreover, it can be shown that equation (25) providesthe basis for a variational method of determining u2. The explicit solution of the underlying problem in hydromagnetic oscillations in case the prevailing fields are axisymmetric has many interesting features. They will be discusse...

ardy and littlewood conjectured that every large integer $n$ that is not a square is the sum of a prime and a square. they believed that the number $mathcal{r}(n)$ of such representations for $n = p+m^2$ is asymptotically given by begin{equation*} mathcal{r}(n) sim frac{sqrt{n}}{log n}prod_{p=3}^{infty}left(1-frac{1}{p-1}left(frac{n}{p}right)right), end{equation*} where $p$ is a prime, $m$ is a...