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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 Jun 18 2022
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Isolation of beta-sitosterol and evaluation of antioxidant Activity of Iraqi Campsis grandiflora flowers.
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Campsis grandiflora (Bignoniaceae) is a fast growing deciduous climber, the dried flowers have been used as a carminative, blood tonic, and febrifuge in Chinese traditional medicine. This plant has an anti-inflammatory, anti-oxidant, anti-depressant, and anti-bacterial effect; with a beneficial role in stagnant blood and endometriosis conditions. In this study, the detection of beta-sitosterol in the hexane extract of Iraqi C.grandiflora flowers was performed using thin layer chromatography (TLC) and high performance liquid chromatography(HPLC); while the isolation done by preparative layer chromatography then structure elucidation of isolated compound was done by FTIR and 1HNMR. Furthermore, assessment of th

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Publication Date
Tue Feb 05 2019
Journal Name
Journal Of The College Of Education For Women
Spatial contrast of the slums in the unity of the new municipal of Baghdad
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The slums one of the main problem plaguing the city of Baghdad in general and
the unity of municipality of New Baghdad, especially, where the characteristics of the study
area a prominent role in population growth and the emergence of slums where a private,
although the region suffer from the housing crisis is the lack of the number of housing units
compared to the number of families in which, With high land prices and the level of rent
which was accompanied by the absence of the law, which was followed by the year 2003, has
become the study area and one of the most municipalities of the city of Baghdad Contain
slums which took fills abandoned buildings and acquires vacant land agricultural ones and
allocated to d

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Publication Date
Thu Jun 18 2015
Journal Name
Journal Of Kerbala University
Effect of Carbamazepine drug on formation of decidual tissue in femal of Mus musculus
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Implantation of blastocyst is considered as a sensitive process in the life of growing embryo. Thus this critical period could be under threat from the harmful effect of many drugs ,among them is the carbamazepine which is used by many women for a treatment of epilepsy . The present experiment was designed to study the effect of this drug on the process of implantation ;especially during the days 7 and 9 of pregnancy. For those purpose 169 pregnant albino mice, of 25 gm weight for each one, were used .The mice were divided into control group given orally normal saline, and treated group given orally carbamazepine with concentration of 15 mg\kg. Samples from pregnant uteri containing the embryos were used. They were first fixed in Boun's sol

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Publication Date
Sat Jul 01 2000
Journal Name
Bulletin Of The Iraq Natural History Museum (p-issn: 1017-8678 , E-issn: 2311-9799)
UTTILIZATION OF LIPIDS AS SOURCE OF ENERGY DURING HIBERNATION OF RANA RIDIBUNDA PALLAS, 1771
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The aim of this study is to calculate the ene expenditure from fatty substance contents of the
frog. Rana ridibunda during its hibernation. It was found that, almost, all frogs enter
hibernation during the last week of December and emerge from hibernation during the first
week of March. Hence, January and February are considered the hibernation period.
December is the pre-hibernation period and March is the post-hibernation period. The
reduction in percent of body lipid during the hibernation period was 4.8% in males and 7.7%
in females. The reduction in percent of lipid of fat bodies during the hibernation period was
2.758% in males and 0.733% in females.
The calorific value of R. ridibunda lipid amounted to 1233

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Publication Date
Tue Oct 30 2018
Journal Name
Al-kindy College Medical Journal
The Effectiveness of Calcaneal Drilling for Treatment of Resistance Cases of Plantar Heel Pain
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Background: Plantar heel pain is a clinical syndrome characterized by pain and tenderness beneath the heel which is typically worse in the morning and improves after the first few steps in the day. It is a common and frequently disabling clinical complaint that may be caused by a broad spectrum of osseous or soft tissue disorders. Objective: To evaluate the effectiveness of an operation of multiple drilling of calcaneum for resistant plantar heel pain syndrome. Methods: During the period from November 2012 to August 2016, 17 patients (17heels) were enrolled in a cohort clinical study at the orthopedic unit in AL-Sheikh Zayed and AlWassity Hospitals. Result: Drilling of the calcaneum is a simple procedure achieving 70.6% cure in resistant as

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Publication Date
Sat Mar 01 2008
Journal Name
Iraqi Journal Of Physics
The effect of Cu concentration on some of the electrical properties of CdSe films
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The CdSe pure films and doping with Cu (0.5, 1.5, 2.5, 4.0wt%) of thickness 0.9μm have been prepared by thermal evaporation technique on glass substrate. Annealing for all the prepared films have been achieved at 523K in vacuum to get good properties of the films. The effect of Cu concentration on some of the electrical properties such as D.C conductivity and Hall effect has been studied.
It has been found that the increase in Cu concentration caused increase in d.c conductivity for pure CdSe 3.75×10-4(Ω.cm)-1 at room temperatures to maximum value of 0.769(Ω.cm)-1 for 4wt%Cu.All films have shown two activation energies, where these value decreases with increasing doping ratio. The maximum value of activation energy was (0.319)eV f

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Publication Date
Fri Jul 21 2023
Journal Name
Journal Of Engineering
Application of Geographic Information System for Preparing the Bill of Quantities of Construction Projects
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The information required for construction quantities surveying is not only generated by various participants in different construction phases but also stored in different forms including graphics, text, tables, or various combinations of the three. To report a bill of quantities (BOQ), the project manager has to continuously excerpt information from various resources and record it on papers. Without adequate staff and time, this repetitive and tedious process is difficult for the project manager to handle properly and thus reduces the effectiveness and the accuracy of the quantities surveying process which creates problems during the design, tender, and construction supervision of construction projects for designers and contractors pract

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Publication Date
Wed Jul 01 2020
Journal Name
Plant Archive
A comparative taxonomic study of seeds of some plants of rosaceae family in Iraq
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Publication Date
Wed Jun 07 2023
Journal Name
Journal Of Educational And Psychological Researches
Selective Visual Attention among Students of Colleges of Education At The University Of Mosul
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The research aims to identify the level of selective visual attention among students of the faculties of education at the University of Mosul. To achieve the goal of the research, the researchers chose a stratified random sample of students from the faculties of education at the University of Mosul for the academic year (2020-2021). The sample size was (652) students from the scientific and humanitarian specializations, the second and fourth stages. The researchers developed a test of multiple-choice to measure the selective visual attention, which consisted of (42) items. The results revealed that the students of the faculties of education for human sciences have an appropriate level of selective visual attention. There are statisticall

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Publication Date
Fri Dec 30 2022
Journal Name
Journal Of Mathematics
Estimation of Parameters of Finite Mixture of Rayleigh Distribution by the Expectation-Maximization Algorithm
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In the lifetime process in some systems, most data cannot belong to one single population. In fact, it can represent several subpopulations. In such a case, the known distribution cannot be used to model data. Instead, a mixture of distribution is used to modulate the data and classify them into several subgroups. The mixture of Rayleigh distribution is best to be used with the lifetime process. This paper aims to infer model parameters by the expectation-maximization (EM) algorithm through the maximum likelihood function. The technique is applied to simulated data by following several scenarios. The accuracy of estimation has been examined by the average mean square error (AMSE) and the average classification success rate (ACSR). T

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