We study in this paper the composition operator of induced by the function ?(z)=sz+t where , and We characterize the normal composition operator C? on Hardy space H2 and other related classes of operators. In addition to that we study the essential normality of C? and give some other partial results which are new to the best of our knowledge.

            Eight patients (3 male and 5 female) were treated in this study by Endovenous Laser Ablation (EVLA); Mathematical models are proposed to estimate the applied laser power and to assess the recovery period. The estimations of the applied laser power and recovery period in these models will be depended mainly on the diameter of the incompetent vein.  In addition, Excel Program was utilized to find the proposed models.  A 1470 nm diode laser up to 15W continuous power (CW) was used in the treatment of venous ulcers by EVLA procedure. Following up by duplex ultrasound was started in the 1st week after the first session until the vein is completely closed. The present study concluded that the relationship both between

    The article analyzes the ideological and genre features of L. Ulitskaya's work "The Plague, or OOI in the City", examines the features of building an artistic whole, ways of creating images of characters and their characteristics, stylistic features of the work.

We investigate mathematical models of the Hepatitis B and C viruses in the study, considering vaccination effects into account. By utilising fractional and ordinary differential equations, we prove the existence of equilibrium and the well-posedness of the solution. We prove worldwide stability with respect to the fundamental reproduction number. Our numerical techniques highlight the biological relevance and highlight the effect of fractional derivatives on temporal behaviour. We illustrate the relationships among susceptible, immunised, and infected populations in our epidemiological model. Using comprehensive numerical simulations, we analyse the effects of fractional derivatives and highlight solution behaviours. Subsequent investigatio

An experimental study was performed to estimate the forced convection heat transfer performance and the pressure drop of a single layer graphene (GNPs) based DI-water nanofluid in a circular tube under a laminar flow and a uniform heat flux boundary conditions. The viscosity and thermal conductivity of nanofluid at weight concentrations of (0.1 to 1 wt%) were measured. The effects of the velocity of flow, heat flux and nanoparticle weight concentrations on the  enhancement of the heat transfer are examined. The Nusselt number of the GNPs nanofluid was enhanced as the heat flux and the velocity of flow rate  increased, and the maximum Nusselt number  ratio (Nu nanofluid/ Nu base fluid)   and thermal performance factor

The Arab Islamic Manuscripts in the science libraries humanly global heritage in different types of knowledge and science, as they were not confined to a particular flag but extended to include all kinds of science, and to facilitate the knowledge of these types of manuscripts has been necessary to operate them indexed in most libraries , because it is important in determining the size of those manuscripts and set them up and facilitate the work of the investigators, as well as the significance of indexing to know printed manuscripts in order to avoid repetition of the publication of the manuscript more than once, especially if the deployment is to be characterized by accurate scientific integrity and following the origins of the scienti

The present study was designed to evaluate the immunological status in a sample of Iraqi males with primary infertility and them age range18-55 years, who were attending the Centre of Infertility and in vitro Fertilization (Kamal Al-Samaraie Hospital, Baghdad) during the period December 2008 – April 2009. They were divided into three groups; 40 patients with anti-sperm antibodies (ASA), 20 patients with Asthenozoospermia (AST) and 20 patients with azoospermia (AZO). In adition to20 fertile males was as control group. The parameters of evaluations were standard seminal fluid analysis, anti-sperm antibodies and anti-mitochondrial antibodies in serum, Therefore, two types of samples were collected from each subject; seminal fluid and blood.

Starting from bis (4,4'-diamino phenoxy) ethan(1), a variety of phenolicschiff bases (methylolic, etheric, epoxy) derivatives have been synthesized. All proposed structure were supported by FTIR, 1H-NMR, 13C-NMR Elemental analysis, some derivatives evaluated by thermal analysis (TGA).

In this study, the concentration of radium and uranium in the samples radish leaves, radish stalk, onion leaves, onion stalk and garlic fruits were grown in arable soil in the Botanical Garden in the College of Science for women, and garlic in special plates, the soil was taken from the above at the beginning of November 2016 was studied by using CR-39 nuclear track detectors. The radium and uranium concentration varied from 0.023 to 0.052 and from 23.13 to 52.68 Bq/kg with an average value of 0.037 and 37.58 Bq/kg respectively. The maximum value of radon concentration was 0.052 Bq/kg in fruits of garlic sample, while the minimum value was 0.023 Bq/kg in radish leaves. The values of the radium and uranium concentrations obtained from this s