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bsj-8417
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
Wed Nov 30 2016
Journal Name
International Business Management
ESTIMATE OF THE MULTIPLIER EFFECT OF THE MONETARY AND FISCAL POLICY ON NON-OIL GROSS DOMESTIC PRODUCT IN THE IRAQI ECONOMY FOR THE PERIOD OF 1990-2014
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The monetary policy is a vital method used in implementing monetary stability through: the management of income and adjustment of the price (monetary targets) in order to promote stability and growth of real output (non-cash goals); the tool of interest rate and direct investment guides or movement towards the desired destination; and supervisory instruments of monetary policy in both quantitative and qualitative. The latter is very important as a standard compass to investigate the purposes of the movement monetary policy in the economy. The public and businesses were given monetary policy signals by those tools. In fiscal policy, there are specific techniques to follow to do the spending and collection of revenue. This is done in order to

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Publication Date
Tue Sep 01 2009
Journal Name
Journal Of Economics And Administrative Sciences
Comparison of estimation methods for regression model parametersIn the case of the problem of linear multiplicity and abnormal values
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 A simulation study is used to examine the robustness of some estimators on a multiple linear regression model with problems of multicollinearity and non-normal errors, the Ordinary least Squares (LS) ,Ridge Regression, Ridge Least Absolute Value (RLAV), Weighted Ridge (WRID), MM and a robust ridge regression estimator MM estimator, which denoted as RMM this is the modification of the Ridge regression by incorporating robust MM estimator . finialy, we show that RMM is the best among the other estimators

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Publication Date
Wed Jun 01 2011
Journal Name
Journal Of Economics And Administrative Sciences
Methods of using the periodic chart in the case of the missing values of the stable AR model (2)
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In this study, we investigate the behavior of the estimated spectral density function of stationary time series in the case of missing values, which are generated by the second order Autoregressive (AR (2)) model, when the error term for the AR(2) model has many of continuous distributions. The Classical and Lomb periodograms used to study the behavior of the estimated spectral density function by using  the simulation.

 

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Publication Date
Wed Mar 18 2020
Journal Name
Baghdad Science Journal
The Representaion of Algebraic Integers as Sum of Units over the Real Quadratic Fields: REPRESENTAION OF ALGEBRAIC INTEGERS AS SUM OF UNITS OVER THE REAL QUADRATIC FIELDS
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In this paper we generalize Jacobsons results by proving that any integer  in   is a square-free integer), belong to . All units of  are generated by the fundamental unit  having the forms

Our generalization build on using the conditions

This leads us to classify the real quadratic fields  into the sets  Jacobsons results shows that  and Sliwa confirm that  and  are the only real quadratic fields in .

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Publication Date
Sun Jul 03 2016
Journal Name
Journal Of Educational And Psychological Researches
Effect of Exemplar of Wettli On Acquiring Grammatical Concepts Among Basic 7th Class Female Students in Kurdish Language Grammar
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The current paper aims at knowing the effect of  Exemplar of Wettli On Acquiring Grammatical Concepts Among Basic 7th Class Female Students in Kurdish Language Grammar.

The current paper is confined to a sample of  Basic 7th Class Female Students-  Khaniqin –belonged Morning schools for the academic year 2014-2015 . The sample amounted 50 female students  distributed on two sections ( A,B) . Section A represented  experimental group ( 24) female  students  studied according to the exemplar of ( Wettli) and (B) represented control group (26) female students who have studied with traditional method. The researcher has qualified between these two groups  b

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Publication Date
Tue Dec 11 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Impact of spastic cerebral palsy upon the quality of life of children under the age of 12 years in Erbil City: parents’ reports
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Objectives: This study aims to assess the quality of life of cerebral palsy children less than 12 years old reported by
parents in Erbil city/Iraq.
Methodology: A descriptive study was conducted during 2014, to describe the quality of life of cerebral palsy
children. One hundred mothers have cerebral palsy children were participated in this study. The study took place at
Helena Center for handicapped children in Erbil City. Questionnaire was used to collect data, which consists of two
main parts. The first part is divided into two sections; section one was described the mothers’ demographic
characteristics, while the second section was for identifying the demographical characteristics of cerebral palsy
children. Th

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Publication Date
Thu Dec 13 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Evaluation of Adolescents' Quality of life in Hilla City
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Objective(s): The present study describes the quality of life (QOL) among adolescents with age of (12-22) year old and identifies factors that may be associated with it. Methodology: A cross-sectional design is carried throughout to evaluate adolescents' quality of life in Hilla City for the period of September 2nd 2016 to November 6th 2016. The present study is conducted in different settings that include schools and colleges in Hilla City. A non-probability "purposive" sample of (144) participant is selected and comprised of (50%) males and (50%) females. An instrument is constructed for the intent of the st

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Publication Date
Mon Oct 01 2018
Journal Name
Journal Of Educational And Psychological Researches
The ability of solving a mathematical problem and its relation to system thinking among fifth preparatory students
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The research seeks to examine the ability of fifth preparatory students in solving a mathematical problem in relation to system thinking. To this end, the researcher chose (140) fifth preparatory students from four-different secondary schools in Kirkuk city for the academic year (2016-2017). Two tests were adopted to collect study data: a test of (5) items about skills in solving math problem designed by (Al-raihan, 2006); and a test of system thinking skills designed by the researcher himself consisted of (14) items. It was divided into four skills (analyzing the main system to subsystems, eliminating all inner gaps of system, identifying the inner connection of system, and reorganizing the system). The findings indicated a good ability

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Publication Date
Mon Dec 31 2018
Journal Name
Iraqi Journal Of Market Research And Consumer Protection
ESTIMATION OF LEAD ELEMENT IN THE BLOOD OF TRAFFIC POLICE IN THE CITY OF BAGHDAD.: ESTIMATION OF LEAD ELEMENT IN THE BLOOD OF TRAFFIC POLICE IN THE CITY OF BAGHDAD.
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The current study aimed to determine the relation between the lead levels in the blood traffic men and the nature of their traffic work in Baghdad governorate. Blood samples were collected from 10 traffic men and the age about from 20-39 year from Directorate of Traffic Al Rusafa/ Baghdad and 10 samples another control from traffic men too with age 30-49 year and they livedrelatively in the clear cities or contained of Very few traffic areas. The levels of lead in blood estimated by used Atomic Absorption Spectrometry.
The result stated that there is no rising of the levels of lead in blood of traffic men Lead concentration was with more a range from 14 ppm in Traffic police are not healthy They are within the permissible limits, Ap

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Publication Date
Sun Sep 05 2010
Journal Name
Baghdad Science Journal
Synthesis and Characterization of New Metal Complexes of α-Aminonitriles Derived from P- Toluidine and Aromatic Aldehydes
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New metal complexes of some transition metal ions Co(II), Cu(II) , Cd(II) and Zn(II) were prepared by their reaction with previously prepared ligands HLI= (P-methyl anilino) phenyl acetonitrile and HLII = (P-methyl anilino) –P– chloro phenyl acetonitrile . The two ligands were prepared by Strecker’s procedure which includ the reaction of p- toluidine with benzaldehyde and P- chlorobenzaldehyde respectively. Structures were proposed depending on atomic absorption , i.r. and u.v.visible spectra in addition to magnetic susceptibility and electrical conductivity measurements.

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