Proper cycles of indefinite quadratic forms and their right neighbors

summary:In this paper we consider proper cycles of indefinite integral quadratic forms $F=(a,b,c)$ with discriminant $\Delta$. We prove that the proper cycles of $F$ can be obtained using their consecutive right neighbors $R^i(F)$ for $i\ge 0$. We also derive explicit relations in the cycle and proper cycle of $F$ when the length $l$ of the cycle of $F$ is odd, using the transformations $\tau (F)=(-a,b,-c)$ and $\chi (F)=(-c,b,-a)$

No Effect of the IGF-1 Gene rs35767 and rs17032362 Polymorphisms in the Etiology of Idiopathic Short Stature

Objective: Idiopathic short stature (ISS) refers to pathophysiologically wide and heterogeneous range of disorders, which are considered to involve defects in growth hormone (GH)-insulin like growth factor-1 (IGF-1) axis. This study was designed to evaluate GH- IGF-1 axis and investigate IGF-1 gene polymorphisms in ISS