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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
Sat Dec 30 2023
Journal Name
Iraqi Journal Of Science
On The Static Reliability Of Binary-State And Multi-State K-Out-Of-N:G Systems
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The k-out-of-n:G (or k/n:G) system structure is a very popular of redundancy in
fault-tolerant systems, with wide applications in so many fields. This paper presents
two states of multi-state k/n:G systems. The first part, we present the definition that
introduced by Al-Neweihi et al [1], where the values are the same with respect
to all system states and we show that there exists an alternative equivalent definition
to Al-Neweihi's definition. In the second part of this paper we give more general
definition proposed by Huang et al [2], where it allows different values with
respect to different system states and we provide there exists an equivalent definition
to Huang's definition when the values are increasing.

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Publication Date
Mon Jun 22 2020
Journal Name
Baghdad Science Journal
Effects of Anthracene Doping Ratio and UV Irradiation Time on Photo-Fries Rearrangement of Polycarbonate
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Thin films of pure polycarbonate (PC) with anthracene doping PC films for different doping ratios (10, 20, 30, 40, 50 and 60 ml) were prepared by using a casting method. The influence of anthracene doping ratio on photo-fries rearrangement of polycarbonate was systematic investigated. Furthermore, pure PC and anthracene doping PC films were irradiated via UV light at a wavelength (254 nm) for different periods (5, 240, 288, and 360 hrs). The photo-fries rearrangement occurring in pure PC and anthracene doping PC films were monitored using UV and FTIR spectroscopies. The photo-fries rearrangement leads to scission the carbonate linkage and formation phenylsalicylate and dihydroxybenzophenes. The result of the UV spectrum confirms disappea

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Publication Date
Sat Sep 25 2021
Journal Name
International Journal Of Drug Delivery Technology
Green Synthesis, Characterization, and Biological Activity of Zinc Oxide Nanoparticles using Aqueous Extract of Beta Vulgaris and the Seed of Abrus precatorius
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Development of improved methods for the synthesis of metal oxide nanoparticles are of high priority for the advancement of material science and technology. Herein, the biosynthesis of ZnO using hydrahelix of beta vulgaris and the seed of abrus precatorius as an aqueaus extracts adduced respectivily as stablizer and reductant reagent. The support are characterized by spectroscopic methods ( Ft-IR, Uv-vis ).The FTIR confirmed the presence of ZnO band. The Uv-visible showed absorption peak at corresponds to the ZnO nanostructures. X-ray diffraction, scaning electron microscopy (SEM), dispersive X-ray spectroscopy (EDX) techniques are taken to investigation the size, structure and composition of synthesised ZnO nanocrystals. The XRD pattern mat

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Publication Date
Sun Dec 06 2015
Journal Name
Baghdad Science Journal
Bounded Solutions of the Second Order Differential Equation x ?+f(x) x ?+g(x)=u(t)
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In this paper we prove the boundedness of the solutions and their derivatives of the second order ordinary differential equation x ?+f(x) x ?+g(x)=u(t), under certain conditions on f,g and u. Our results are generalization of those given in [1].

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Publication Date
Wed Dec 01 2010
Journal Name
Iraqi Journal Of Physics
Study of electron energy distribution function and transport parameters for CF4 and Ar gases discharge by using the solution of Boltzmann equation-Part I
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The Boltzmann transport equation is solved by using two- terms approximation for pure gases . This method of solution is used to calculate the electron energy distribution function and electric transport parameters were evaluated in the range of E/N varying from . 172152110./510.VcmENVcm
From the results we can conclude that the electron energy distribution function of CF4 gas is nearly Maxwellian at (1,2)Td, and when E/N increase the distribution function is non Maxwellian. Behavior of electrons transport parameters is nearly from the experimental results in references. The drift velocity of electron in carbon tetraflouride is large compared with other gases

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Publication Date
Fri Dec 31 2021
Journal Name
Iraqi Journal Of Market Research And Consumer Protection
THEEXPOSURE OF BAGHDAD SLUM RESIDENTS TO TELEVISION DRUG ADVERTISEMENTS AND ITS TRENDS: THEEXPOSURE OF BAGHDAD SLUM RESIDENTS TO TELEVISION DRUG ADVERTISEMENTS AND ITS TRENDS
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The advancement of science and technology in recent years has led to heavy and diversified production and thus market congestion in various goods and services; which led to an increase of competition among advertisers in order to meet the needs and wishes and to upgrade to the level of consumers. These upgrades have imposed an increase in the usage of the promotions, including advertising in terms of quantity and quality, to influence and persuade customers innovatively and creatively using all available mass media.

The research aims to identify the attitudes of residents of poor areas towards television advertisements for medicines, and the impact of those advertisements on them in terms of making purch

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Publication Date
Thu Jan 04 2024
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
Attitudes of banking leaders towards practicing strategic foresight and its relationship to organizational brilliance: Applied research in a number of Iraqi private commercial banks
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Abstract:

               The aim of the research is to evaluate the practice of banking departments for strategic foresight represented by its dimensions (environmental scanning, future vision, scenarios, reconfiguration) and its relationship to the organizational brilliance represented by dimensions (brilliance of leadership, brilliance of service and innovation, brilliance of knowledge, brilliance of employees), as the research was applied in A number of private Iraqi commercial banks represented by (Baghdad, Iraqi Investment, Iraqi Middle East Investment, Commercial Gulf, Ashur International Investment, Al Mansour Investment, Via Iraq Invest

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Publication Date
Thu May 28 2020
Journal Name
Iraqi Journal Of Science
Monitoring of the Immune Response Activity in Iraqi Patients Infected with Cutaneous Leishmaniasis by IFN-γ and MIG Evaluation During Different Stages of Infection
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Cutaneous leishmaniasis (CL) is one of the most prevalent cutaneous parasitic protozoan infections in Iraq; characterized by a chronic infection and granulomatous disease that invades the skin. Type 1 immune was predominates in CL patients with exacerbated production of pro-inflammatory cytokine, therefore this study aimed to evaluate serum level of interferon gamma (IFN-γ) and monokine induce by interferon gamma (MIG/CXCl9) as a useful markers of disease development in patients during different stage of infection (<1 month .. early , 1-6 month.. chronic and >6 months.. late). The result showed that there was an early effort to eliminate the parasite proliferation which illustrated by a high significant increase of both IFN-γ

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Publication Date
Wed May 17 2023
Journal Name
College Of Islamic Sciences
A stylistic vision of the objection in the Quranic discourse
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The modern stylistic lesson has become more committed to the scientific limits in which it believed, and more confident in itself, and it is no longer just a scientific procedure that helps other curricula and sciences that preceded it.

Based on this, our modest research ((a stylistic vision of the objection in the Quranic discourse)) arose to explore an artistic rhetorical phenomenon that was included in the Holy Quran text. ; Because analysis is a situation that allows us to see a lot and absorb the stranger more clearly.

And since the horizontal arrangement of the linguistic elements in which stylistically undistinguished elements meet with distinct ones, the other trend has emerged that believes that the stylistic dis

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Publication Date
Thu Dec 31 2015
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Prediction of Shear Wave velocity for carbonate rocks
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In many oil fields only the BHC logs (borehole compensated sonic tool) are available to provide interval transit time (Δtp), the reciprocal of compressional wave velocity VP.

   To calculate the rock elastic or inelastic properties, to detect gas-bearing formations, the shear wave velocity VS is needed. Also VS is useful in fluid identification and matrix mineral identification.

   Because of the lack of wells with shear wave velocity data, so many empirical models have been developed to predict the shear wave velocity from compressional wave velocity. Some are mathematical models others used the multiple regression method and neural network technique.

   In this study a number of em

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