Assume that $mathbb{D}$ is the open unit disk. Applying Ozaki's conditions, we consider two classes of locally univalent, which denote by $mathcal{G}(alpha)$ and $mathcal{F}(mu)$ as follows begin{equation*}  mathcal{G}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right) <1+frac{alpha }{2},quad 0<alphaleq1right}, end{equation*} and begin{equation*}  ma...

let $r$ be a commutative ring with identity‎. ‎a proper ideal $p$ of $r$ is a $(n-1,n)$-$phi_m$-prime ($(n-1,n)$-weakly prime) ideal if $a_1,ldots,a_nin r$‎, ‎$a_1cdots a_nin pbackslash p^m$ ($a_1cdots a_nin pbackslash {0}$) implies $a_1cdots a_{i-1}a_{i+1}cdots a_nin p$‎, ‎for some $iin{1,ldots,n}$; ($m,ngeq 2$)‎. ‎in this paper several results concerning $(n-1,n)$-$phi_m$-prime and $(n-1,n)$-...

Starting from the difficulty of creating playful representation of domain-specific abstract concepts, this study discusses the design of Prime Slaughter, a computer game aimed at facilitating individual sense-making of abstract mathematical concepts. Specifically the game proposes a transpositionmathematical concepts. Specifically the game proposes a transposition of primality and factorization...

AIM To compare postoperative keratometric corneal refractive changes after phacoemulsification surgery between pre-incision and single stepped clear corneal incision techniques. PATIENTS AND METHODS This prospective clinical study included 40 eyes of 40 patients who underwent clear corneal cataract surgery. Twenty eyes were operated using pre-incision technique (Group A), and 20 eyes using si...

OBJECTIVE The aim of this study was to compare operative feasibility and surgical outcome of the modified Cherney incision and vertical midline incision in patients undergoing radical hysterectomy and pelvic lymphadenectomy. METHODS Between March 2005 and December 2007, retrospective data of 78 patients (n=17; modified Cherney incision, n=61; vertical midline incision) with early stage cervic...

background: renal cell carcinoma is the third most common urological cancer. surgical resection is still the mainstay of treatment for this tumor. here we present a new surgical approach for the management of locally advanced renal cell carcinoma. methods: we chose ten patients with extensive renal masses. the patient, under general anesthesia after preparation and draping, was placed in the su...

Throughout this paper, every groups are finite. The prime graph of a group $G$ is denoted by $Gamma(G)$. Also $G$ is called recognizable by prime graph if for every finite group $H$ with $Gamma(H) = Gamma(G)$, we conclude that $Gcong H$. Until now, it is proved that if $k$ is an odd number and $p$ is an odd prime number, then $PGL(2,p^k)$ is recognizable by prime graph. So if $k$ is even, the r...