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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 Jan 01 2016
Journal Name
Journal Of College Of Education
Some of the Probability Characteristics Functions of the Solution of a System of Random Linear Inequalities
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Publication Date
Mon Jan 08 2024
Journal Name
Al-academy
Evaluation of subject curriculum vocabulary Fundamentals of design from the point of view of its teachers
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The curriculum is a tool of the basic tools that seek through which educational institutions to achieve the objectives of any educational policy, and therefore must be a practical application of curriculum objectives of this policy. If, however, described the separate curricula for educational policy, that would be evidence of planning that leads to failure in achieving the great goals of society. The curriculum does not include the subject of education only, but goes to all the educational experiences that achieve the desired behavioral goals.
When goal-setting study for any of the articles should study the use of the overall goals of the article. And therefore must serve the general goals of academic material and objectives in one d

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Publication Date
Wed Jan 01 2014
Journal Name
Iraqi Journal Of Science
Calculate the Longitude and Orbital Motion for Amaletha, Europa, Ganymede and Callisto Satellites
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The orbital motion and longitude for some Jupiter's satellites (Amaletha, Europa, Ganymede and Callisto) were calculated from two different locations Iraq and Syria. A program was designed, the input parameters were the desired year, month, day and the longitude of the location, the output parameters results were applied in form of a file, and this file includes the longitude, orbital motion, and local time of these satellites. A specific date 1-10-2013 was taken, the results of longitude was (20-336) º and orbital motion was (92-331) º for both Iraq and Syria location with observing time (05:24:14-15:18:10) for Iraq and (04:56:33-14:50:30) for Syria. The difference in time between the two locations was constant (00:45:00), these results

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Publication Date
Fri Sep 30 2022
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Risk-Based Inspection Due to Corrosion Consequences for Oil and Gas Flowline: A Review
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   The petroleum industry, which is one of the pillars of the national economy, has the potential to generate vast wealth and employment possibilities. The transportation of petroleum products is complicated and changeable because of the hazards caused by the corrosion consequences. Hazardous chemical leaks caused by natural disasters may harm the environment, resulting in significant economic losses. It significantly threatens the aim for sustainable development. When a result, determining the likelihood of leakage and the potential for environmental harm, it becomes a top priority for decision-makers as they develop maintenance plans. This study aims to provide an in-depth understanding of the risks associated with oil and gas pipeli

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Publication Date
Mon Sep 30 2013
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Effect of Additives on the Properties of Different Types of Greases
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The aim of this research is to study the influence of additives on the properties of soap greases, such as lithium, calcium, sodium, lithium-calcium grease, by adding varies additives, such as graphite, molybdenum disulfide, carbon black, corrosion inhibitor, and extreme pressure.
These additives have been added to grease to obtain the best percentages that improve the properties of grease such as load carrying, wear resistance, corrosion resistance, drop point, and penetration.
The results showed the best weight percentages to all types of grease which give good properties are 1.5% extreme pressure additive, 3% graphite, 1% molybdenum disulfide, 2.5% carbon black.
The other hand, the best weight percentage for corrosion inhibit

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Publication Date
Fri Jan 01 2021
Journal Name
Materials Today: Proceedings
Evaluation of the thermal conductivity of middle part of Iraqi soil
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Thermal properties of soils are important in buried structures contact problems. Although laboratory is distinctly advantageous in measuring the thermal conductivity of soil under ideal condition, given the ability to simulate relatively large-scale in place of soil bed, the field thermal conductivity of soil is not yet commonly used in many types of research. The use of only a laboratory experiment to estimate thermal conductivity may be the key reason for overestimation or underestimation it. In this paper, an intensive site investigation including field thermal conductivity tests for six different subsoil strata were performed using a thermal probe method (TLS-100) to systematically understanding the effects of field dry density, water c

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Publication Date
Sun Feb 10 2019
Journal Name
Iraqi Journal Of Physics
Water balance of the basin of Mandali/ east part of Iraq
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Mandali Basin is located between latitudes (33◦ 39' 00" and 33
54' 55") to the north and longitudes (45ο 11' 00" and 45ο 40' 00") to the
east; to the east of Diyala province at the Iraqi-Iranian border; the
basin area is approximately 491 km2.
From the study of climate reality of the basin between 1990-
2013and assessment of the basic climate transactions, it was found
that the annual rate of rainfall is 253.02 mm, the relative humidity
(44.4%), the temperature (21.3 ◦C), wind speed (2.08 m /sec.),
sunshine (8.27 h/day) and evaporation of the basin class (a) (271.98
mm) and corrected potential evapotranspiration (80.03 mm). The
results of the data analysis show that, there are

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Publication Date
Mon Aug 31 2015
Journal Name
International Journal Of Advanced Research
On instability of zero solution of some types of forth order
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The purpose of this paper is to study the instability of the zero solution of some type of nonlinear delay differential equations of fourth order by using the Lyapunov-Krasovskii functional approach; we obtain some conditions of instability of solution of such equation.

Publication Date
Mon Jun 01 2015
Journal Name
International J. Of Math. Sci. & Engg. Appls
On instability of zero solution of some types of fifth order
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The purpose of this paper is to study the instability of the zero solution of some type of nonlinear delay differential equations of fifth order with delay by using the Lyapunov-Krasovskii functional approach, we obtain some conditions of instability of solution of such equation.

Publication Date
Thu Sep 01 2022
Journal Name
Neuroquantology
Evaluation of using of square flap in treatment of Postburn Contracture
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Background: One of the most common problems that encountered is postburn contracture which has both functional and aesthetic impact on the patients. Various surgical methods had being proposed to treat such problem. Aim: To evaluate the effectiveness of square flap in management of postburn contracture in several part of the body. Patients and methods: From April 2019 to June 2020 a total number of 20 patients who had postburn contracture in various parts of their body were subjected to scar contracture release using square flap. The follow up period was ranging between 6 months to 12 months. Results: All of our patients had achieved complete release of their band with maximum postoperative motion together with accepted aesthetic outcome. A

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