This research aims to present some  results for  conceptions of  quasi -hyponormal operator defined on Hilbert space . Signified by the -operator, together with some significant characteristics of this operator and various theorems pertaining to this operator are discussed, as well as, we discussed the null space and range of these  kinds of operators.

In projective plane over a finite field q F , a conic is the unique complete
(q 1) arc and any arcs on a conic are incomplete arc of degree less than q 1.
These arcs correspond to sets in the projective line over the same field. In this paper,
The number of inequivalent incomplete k  arcs; k  5,6, ,12, on the conic in
PG(2,23) and stabilizer group types are found. Also, the projective line
PG(1,23) has been splitting into two 12-sets and partitioned into six disjoint
tetrads.

The main purpose of this paper is to study feebly open and feebly closed mappings and we proved several results about that by using some concepts of topological feebly open and feebly closed sets , semi open (- closed ) set , gs-(sg-) closed set and composition of mappings.

The significance of the work is to introduce the new class of open sets, which is said Ǥ- -open set with some of properties. Then clarify how to calculate the boundary area for these sets using the upper and lower approximation and obtain the best accuracy.

Background:   Achalasia is an uncommon but not a rare a malady.  In Iraq, we lack true statistics about this condition.

Objective:  is to review the experience with trans-thoracic modified Heller operation for achalasia cardia in a major thoracic surgical centre in Iraq over a 4-year period.

Study design: a combined retrospective and prospective study.

Setting: Department of Thoracic Surgery in Baghdad Medical City/Baghdad/Iraq. 

Methods: This study is both retrospective (20 cases) and prospective (20 cases); the information is collected from either patients, case sheets or obtained directly from patients, interviews. In both situa

ABSTRACT: BACKGROUND: Breast reduction for mammary hypertrophy is a highly effective procedure with high degree of patient satisfaction. There are many methods of breast reduction which involve removal of excess tissue with reshaping of overlying skin while maintaining a viable nipple areolar complex. OBJECTIVE: The purpose of this study is to evaluate the use of the superomedial technique as an effective method for reduction mammoplasty. PATIENTS AND METHODS: A total of 30 patients underwent reduction mammoplasty by utilizing superomedial pedicle technique between 2010 and 2013. Those patients were evaluated postoperatively in terms of their aesthetic and functional satisfaction, viability of nipple – areolar complex and nipple sensory p

In a connected graph , the distance function between each pair of two vertices from a set vertex  is the shortest distance between them and the vertex degree  denoted by  is the number of edges which are incident to the vertex  The Schultz and modified Schultz polynomials of  are have defined as:

 respectively, where the summations are taken over all unordered pairs of distinct vertices in  and  is the distance between  and  in  The general forms of Schultz and modified Schultz polynomials shall be found and indices of the edge – identification chain and ring – square graphs in the present work.

Background: stress test (EST) is one of the main diagnostic and prognostic tests for ischemic heart disease. However, its usefulness depends on achieving target heart rate, then chronotropic incompetence and poor exercise capacity limits its utility. We evaluated the usefulness of atropine administration during the EST to decrease the number of tests with inconclusive results in these patients.
Patients &Methods: We carried out this study in Ibn AI-Bitar Teaching Hospital from September 2007 to December 2008 and comprised of 210 patients undergoing EST. In subjects experiencing fatigue when they achieved 50-75% of target heart rate (THR), or those who failed to achieve their THR, atropine was adm