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Stability of Complement Degree Polynomial of Graphs
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     A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense related. The objects correspond to mathematical abstractions called vertices (also called nodes or points) and each of the related pairs of vertices is called an edge (also called link or line). A directed graph is a graph in which edges have orientation. A simple graph is a graph that does not have more than one edge between any two vertices and no edge starts and ends at the same vertex.  For a simple undirected graph G with order n, and let  denotes its complement. Let δ(G), ∆(G) denotes the minimum degree and maximum degree of G respectively. The complement degree polynomial of G is the polynomial CD[G,x]= , where Cdi(G) is the cardinality of  the set of vertices of degree i in . A multivariable polynomial f(x1,...,xn) with real coefficients is called stable if all of its roots lie in the open left half plane.  In this paper, investigate the stability of complement degree polynomial of some graphs.

2020 Mathematics Subject Classification:  05C31, 05C50

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Publication Date
Fri Sep 30 2022
Journal Name
Iraqi Journal Of Science
Improving the Accuracy of Prayer Times and Calculating Their Change with Geographical Latitudes during the Year 2021 AD
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       The entry time of the prayer in Islam is a prerequisite condition for performing obligatory prayers, and prayer times to be performed in Islam coincides with the time changes of the position of the sun. The elliptical and equatorial coordinates of the sun were calculated for different latitudes. The prayer times for the city of Baghdad were calculated at (latitude = 33.34º N, longitude = 44.43 E) with high accuracy for the year 2021 AD. The results showed that all prayer times are affected by latitude according to each region except (Dhuhr prayer (, it changes with the change of the equation of time, because the equation of time does not depend on latitude, but rather on the sun’s declination, which depends on date. We al

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Publication Date
Wed Aug 07 2019
Journal Name
Iraqi National Journal Of Nursing Specialties
Effectiveness of Post-Abortion Family Planning Counseling Program on Nurses and Midwives' Practices in Middle Euphrates Maternity Hospitals
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Objectives: To determine the effectiveness of post-abortion family planning counseling program on nurses and midwives' practices and to predict the variables which may effect on their practices Methodology: A quasi experimental study was conducted from 23th April 2017 to 14th March 2018 in three governorates in Middle Euphrates of Iraq: (Holy Karbala, Al - Najef Al Ashraf and Babylon) on nurses and midwives who work at maternity hospitals. Systematic random sampling was used to select 122 nurses and midwives, (60) of them for study group and (62) for control group. A checklist is an instrument that evaluate the practices which included 50 items. Validity of content was determined through reviewing it by (16) experts and reliability of to

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Publication Date
Tue Feb 28 2023
Journal Name
Iraqi Journal Of Science
Assessment of Groundwater Suitability for Irrigation and Livestock Purposes in Sayed Al-Shuhadaa Agricultural City, Karbala, Central Iraq
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      The study investigates the anion and cation concentrations and their distribution in the Dammam  aquifer to assess the groundwater suitability for irrigation and livestock in Sayed Al-Shuhadaa, Karbala, central Iraq. It lies between longitudes 43º 29' 00'' – 43º 40' 00'' E and latitudes (32º 17' 00'' – 32º22' 00'') N. The physicochemical properties, cations and anions were measured in 14 active wells distributed in the study area. The assessment was conducted based on the sodium adsorption rate (SAR), sodium percentage (Na%), electrical conductivity (EC), total dissolved solids (TDS), and Hydrogen number (pH). Groundwater in the study area is very good for livestock and characterised b

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Publication Date
Sun Jan 01 2023
Journal Name
The Egyptian Journal Of Hospital Medicine
A Study of the Relation between Human Cytomegalovirus and IL-35 in Rheumatoid Arthritis Disease Patients in Iraq
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ackground An autoimmune and inflammatory illness called rheumatoid arthritis (RA) occurs when your immune system mistakenly attacks normal cells in your body. Interleukin-35 is a brand-new cytokine that belongs to the immunosuppressive and anti-inflammatory IL-12 family. β -herpesvirus that produces inflammation and stays dormant in its host for life is the human cytomegalovirus. Human herpesvirus (HCMV) has been at the core of several RA-related theories. Objective The current study looked at the association between RA and serum IL-35 levels as well as the association between RA and CMV. Patients and methods Blood samples were taken in the Baghdad Teaching Hospital and Typical Rheumatology Unit from January 2022 to Mars 2022 for the curre

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Publication Date
Sun Aug 30 2020
Journal Name
Journal Of Economics And Administrative Sciences
Measuring the impact of corporate governance mechanisms on social responsibility reports for a sample of Iraqi companies listed on the Iraq Stock Exchange
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The study aims to indicate the role of the mechanisms and principles of corporate governance in the activation of social responsibility reports, and increase disclosure, to achieve sustainability, legitimacy, and integrity of the business. Through the presentation of the conceptual framework for corporate governance and social responsibility, identify the key dimensions of social responsibility and the statement of the relationship between the mechanisms of governance and social responsibility reports in accordance with these dimensions. To prove the hypothesis research has selected a sample of listed companies in the Iraqi market for securities,

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Publication Date
Fri Aug 01 2014
Journal Name
Journal Of Economics And Administrative Sciences
The role of intellectual capital in promoting financial performance an applied study on a sample of the companies listed in Iraq stock exchange
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The interest in the intellectual capital and its development is a civilized necessity imposed by the requirements of the times and cannot imagine an advanced society in its potential productivity in poor efficiency of human capital, and features the work environment change permanently, putting the management of financial companies against a constant challenge toward coping with new developments in this changing environment and this is not taken unless owned by these companies qualified human resources and the provision of Culture organizers have, which manifested itself with the research problem by the following two questions:

  1. Did the intellectual capital value specific financial and

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Publication Date
Wed Feb 22 2023
Journal Name
Iraqi Journal Of Science
The Effect of Short Range Correlation on The Nuclear Charge Density Distribution, Elastic and Inelastic Electron Scattering Coulomb Form Factors of 18O Nucleus
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The effect of short range correlations on the inelastic longitudinal Coulomb form
factors for the lowest four excited 2+ states in 18O is analyzed. This effect (which
depends on the correlation parameter β) is inserted into the ground state charge
density distribution through the Jastrow type correlation function. The single particle
harmonic oscillator wave function is used with an oscillator size parameter b. The
parameters β and b are, considered as free parameters, adjusted for each excited state
separately so as to reproduce the experimental root mean square charge radius of
18O. The model space of 18O does not contribute to the transition charge density. As
a result, the inelastic Coulomb form factor of 18

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Publication Date
Fri Jul 01 2022
Journal Name
Iraqi Journal Of Science
The Effect of Disease and Harvesting on The Dynamics of Prey-Predator System
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In this paper an eco-epidemiological system has been proposed and studied analytically as well as numerically. The boundedness, existence and uniqueness of the solution are discussed. The local and global stability of all possible equilibrium point are investigated. The global dynamics is studied numerically. It is obtained that system has rich in dynamics including Hopf bifurcation.

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Publication Date
Thu Jul 01 2021
Journal Name
Iraqi Journal Of Science
On a Subclass of Analytic and Univalent Functions with Positive Coefficients Defined by a Differential Operator
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In this paper, a differential operator is used to generate a subclass of analytic and univalent functions with positive coefficients. The studied class of the functions includes:  

 

which is defined in the open unit disk  satisfying the following condition

This leads to the study of properties such as coefficient bounds, Hadamard product, radius of close –to- convexity, inclusive properties, and (n, τ) –neighborhoods for functions belonging to our class.

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Publication Date
Fri Nov 09 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Assessment of Mothers Knowledge and Practices with Hemophilic Children type A at Azadi Teaching Hospital in Kirkuk City
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Objective: The study aims to assess the knowledge and practices of mothers with hemophilia children type - A - ,
socio-economic status and association between mother demographic information with their knowledge and practices
toward their children in Azadi Teaching Hospital in Kirkuk.
Methodology: Descriptive study no probability (purposive) sample. Selected Fifty-five of mothers having hemophilia
children, started from November 2012 to May 2013. Study was carried out in the Azadi teaching hospital in
Kirkuk. By using questionnaire which consists from five parts include demographic characteristics for mother and
children, socio-economic, Knowledge and practices data gathered, by direct interview with the mothers in the

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