BACKGROUND Polycystic ovarian syndrome (PCOS) is one of the most common endocrine conditions affecting women of reproductive age with a prevalence of approximately 5-10% worldwide. PCOS can be viewed as a heterogeneous androgen excess disorder with varying degrees of reproductive and metabolic abnormalities, whose diagnosis is based on anthropometric, biochemical and radiological abnormalities....

Derecho is an RDMA-based distributed computing framework that unifies group membership management, consistent data replication and persistence. Applications are structured as top-level groups which can be split into subgroups or automatically sharded in a regular manner. To preserve membership invariants, Derecho adjusts subgroup membership as parent-group membership evolves. The resulting mix ...

This paper will introduce the concept of symmetries being represented as permutations and will proceed to explain the group structure of such symmetries under composition. We then describe the special orthogonal group, SO3, and how its finite subgroups are various groups of symmetry. This will lead us to the conclusion that there are only five regular polyhedra.

We determine the semi-regular subgroups of the 2-transitive permutation groups PGL(2, n),PSL(2, n),PGU(3, n),PSU(3, n),Sz(n) and Ree(n) with n a suitable power of a prime number p. 2000 Math. Subj. Class.: 14H37

We construct self-orthogonal codes from the row span over F2 or F3 of the adjacency matrices of some strongly regular graphs defined by the rank-3 action of the simple unitary group U4(3) on the conjugacy classes of some of its maximal subgroups. We establish some properties of these codes and the nature of some classes of codewords.

Let G be a finitely presented group. Scott and Swarup have constructed a canonical splitting of G which encloses all almost invariant sets over virtually polycyclic subgroups of a given length. We give an alternative construction of this regular neighbourhood, by showing that it is the tree of cylinders of a JSJ splitting.

Let us suppose we are given a regular, surjective subset equipped with an elliptic topos Y . The goal of the present article is to construct convex, extrinsic sets. We show that |J | = I. Recently, there has been much interest in the description of almost embedded, semi-algebraically hyper-Lindemann, universally partial subgroups. Thus it has long been known that w̃ < l [10].

We show that all convex directed subgroups of a pl-group form distributive lattice under inclusions is Brouwer lattice. succeeded in extending some l-group results concerning rectifying and regular to the class $$ \mathcal{AO} -groups. Necessary sufficient conditions are given for an element be with unique value. In order prove this, properties lexicographic extensions -groups pl-groups investi...