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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
Thu Sep 30 2021
Journal Name
Journal Of Economics And Administrative Sciences
The Role of Product Innovation on an Improvement of the Organization's Reputation /A Field Study in State Organization for Marketing of Oil (SOMO)
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 This paper aims to verify the existence of relationships between product innovation and the reputation of the organization. The study problem is that the State Organization for Marketing of Oil (SOMO) system is inflexible in terms of marketing procedures and needs innovative, unconventional methods in innovating its products and improving performance. The reputation of the organization. The importance of the study lies in that it is an attempt to raise the interest of SOMO in its approach to the research variables in order to enhance its competitive position in the future and improve the marketing business environment, which contributes to enhancing the reputation of the organization by product innovation. The study sample

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Publication Date
Sun Jun 09 2019
Journal Name
Al-kindy College Medical Journal
The Prevalence of Acetabular Retroversion among Adult Patients Presenting with Hip Pain in Orthopedic Clinic of Al-Kindy Teaching Hospital
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Background: Acetabular retroversion has been proposed to contribute to the development of pain and osteoarthritis of the hip. Conventional anteroposterir (AP) pelvic radiographs may represent a reliable, easily available diagnostic modality.

Objective: To obtained a reproducible technique allowing the anterior and posterior acetabular rims to be visible for assessment

Method: This is a cross-sectional study conducted from December 2015 to March 2017 targeting patients with hip pain in orthopedic clinic of Al-Kindy teaching hospital. The study sample consisted of 100 patients with hip pain who were investigated with Antroposterior pelvic plain x-ray, which was done for all

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Publication Date
Wed Jun 01 2016
Journal Name
Journal Of Economics And Administrative Sciences
factors determining pricing strategies in Iraqi business market – on analytic study in a number of industrial sector companies
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Pricing has an important position among the elements of marketing mixture (4ps) as it represents revenues that in turn represent one of the important  pillars' for resources affecting on organizations sustainability and development , and the failure in determining prices and their strategies has a dangerous effect on the organizations reality and future as a whole . from this point,  this is what from the focus of the research problem,which centered on how to get companies to critical price that satisfies customers and achieve corporate objectives.                          

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Publication Date
Tue Apr 01 2014
Journal Name
Journal Of Economics And Administrative Sciences
Financial markets liquidity and their impact in the return of common stocks
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    The research aimed to study the financial markets liquidity and returns of common stocks , Take the research  the theoretical concepts  associated with each of the liquidity of financial markets and returns of common stocks , As well as the use of mathematical methods in the practical side to measure market liquidity and Stocks  Return, the community of research in listed companies in Iraqi stock exchange that have been trading on its stock and number 85 joint-stock company, The research was based to one premise, there is a statistically significant effect for the liquidity of the Iraqi stock exchange on returns  of common stocks  to traded companies in which , Using th

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Publication Date
Wed Jan 02 2019
Journal Name
Journal Of The College Of Languages (jcl)
"The wisdom of the Abraham son of Izra": "החכמה אצל המשורר אברהם בן עזרא"
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Abraham son of Izra, the poet, the philosopher, the grammarian, and the Turah exegesis, is considered one of the famous poets in the era of Islamic reign in Spain which is called the "Golden Era". He was taught all types of teaching which was rich in Jewish literary products. He learned Arabic and studied Arabic language and literature. He travelled a lot, and made tours within Spanish places, and even reached the North of Africa. He preferred living with Muslim rulers in the south of Spain, like the rest of the Jews who emigrated from the north of Spain to the South in search for freedom and to participate in higher positions of the Islamic Palace. He was influenced by Arabic culture, and even translated "Th

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Publication Date
Tue Jan 20 2026
Journal Name
Al–bahith Al–a'alami
The problem of defining the vocabulary of teaching Arabic language methodology in media colleges
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This study examined the problem of identifying the vocabulary of the methodology of teaching Arabic language in the faculties of Media. The researcher noticed the existence of an overlap between the syllabuses of the general specialization of the Arabic language and its Media sections in the universities with the special professional vocabulary that suits the study of the media student. Thus ,this study is regarded as a real attempt to present a methodological model of media language that concerns with fillfuling students ‘linguistic and knowledgeable needs relying on measuring their benefits from the methodological Arabic curriculum .  Key words:problem,  teaching’ methodology of Arabic language, media language.

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Publication Date
Wed Jun 08 2022
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The role of Digital Transformation in improving the quality of the internal Auditing improvement
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This study aimed to identify the role of digital transformation in improving the quality of the internal audit process. The researchers used the descriptive analytical approach, and the questionnaire was relied on as a study tool that was applied to the study population consisting of internal auditors working in banks listed on the Palestine Stock Exchange, and their number was (85). A checker and a comprehensive inventory method was used due to the small size of the community, where the response data of the questionnaire was analyzed and interpreted using the Statistical Packages Program (SPSS).

The results of the study showed that the use of digital transformation contributes to ensuring the quality of

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Publication Date
Tue Jan 20 2026
Journal Name
Sciences Journal Of Physical Education
The relationship of future anxiety to the level of academic ambition among female students
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Publication Date
Thu Dec 26 2019
Journal Name
Bulletin Of The Iraq Natural History Museum (p-issn: 1017-8678 , E-issn: 2311-9799)
ANATOMICAL STUDY OF SOME SPECIES BELONGING TO THE PAPAVERACEAE FAMILY IN NORTH OF IRAQ
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    The anatomical features of leaves and stems of seven species belonging to five genera of the Papaveraceae family were studied, including: Fumaria bracteosa Pomel, 1875; Glaucium grandiflorum Boissier & A. Huet,1856; Hypecoum pendulum Linnaeus, 1753; Papaver fugax Poiret,1804; Papaver macrostomum Boissier & A. Huet, 1867; Papaver rhoeas Linnaeus, 1753 and Roemeria refracta de Candolle,1821. The results showed that the anticlinal cell walls of the adaxial surface were more thickened in P. fugax, H. pendulum, P. macrostomum and R.refracta, while it was thin in P. rhoeas. The cur

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Publication Date
Sun Jun 07 2015
Journal Name
Baghdad Science Journal
On Fully (m,n)-stable modules relative to an ideal A of
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Let R be a commutative ring with non-zero identity element. For two fixed positive integers m and n. A right R-module M is called fully (m,n) -stable relative to ideal A of , if for each n-generated submodule of Mm and R-homomorphism . In this paper we give some characterization theorems and properties of fully (m,n) -stable modules relative to an ideal A of . which generalize the results of fully stable modules relative to an ideal A of R.

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