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Stability of Complement Degree Polynomial of Graphs

     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
Sun Oct 17 2021
Journal Name
Iraqi Journal Of Physics
The effect of inorganic pigment on the tensile properties of polycarbonate irradiated with UV – light

The effect of UV-light on the tensile properties of pure PC has been studied. It was shown that irradiation of PC undergo a drop in the tensile properties of 30 hour of exposure. The results of irradiated samples shows that the addition of ZnO and TiO2 with different percentages (0.5, 1, 1.5 %) will reduce the Young modulus and ultimate stress of PC/ZnO ,PC/ TiO2 composites

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Publication Date
Thu Aug 30 2018
Journal Name
Iraqi Journal Of Science
Quality of Experience Metric of Streaming Video: A survey

Technological development in the last years leads to increase the access speed in the internet networks that allow a huge number of users watching videos online.

     Video streaming important type in the real-time video sessions and one of the most popular applications in networking systems.  The Quality of Service (QoS) techniques give us indicate to the effect of multimedia traffic on the network performance, but this techniques do not reflect the user perception. Using QoS and Quality of Experience (QoE) together can give guarantee to the distribution of video content according to video content characteristics and the user experience .

     To measure the users’ perceptio

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Publication Date
Tue Mar 01 2011
Journal Name
Journal Of Economics And Administrative Sciences
The impact of cognitive processes in the areas of organizational changeApplied Study in the Directorate General of Training and Development / Ministry of Electricity

Centric study on the interest of the Directorate General of Training and Development / Ministry of Electricity to consolidate the concept of process and enhancement of knowledge in the areas of organizational change، it reached a sample of the study (44) people who are highly heads of departments، technicians and administrators in different sections of the Directorate and by using the correlation coefficient (Spearman) & coefficient of simple regression been tested correlations between variables and the impact of the study، as has been reached to integrate the role of cognitive processes with the areas of organizational change and relationships that were significant at the level of overall dimensions and subsidiary organs.

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Publication Date
Mon Jan 01 2018
Journal Name
Journal Of The College Of Languages (jcl)
The Word " בַּיִת " (House) in the Book of Joshua A Comparative Semitic Linguistic Study

In this paper we have dealt with the word "  בַּיִת" in the Book of Joshua because it makes one of those that highly employed the  word    בַּיִת"  " in the Old Testament. The Book of Joshua comes  sixth   in the order of tanakh wich was written by Joshua son of  Noon in Palestine during the fifteenth century  B.C. and it covers a three-decade era extending from the death  of Moses til the death of Joshua son of Noon.

      The word " בַּיִת " in this paper refers to the place, where expressions are made by a noun modified by a noun . The modifier is"" בַּיִת , and the modified is another noun. Herein, we

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Publication Date
Wed Mar 16 2016
Journal Name
Iraqi Journal Of Market Research And Consumer Protection
THE CAUSES OF THE PHENOMENON OF MARKETING DECEPTION AND ITS IMPACT IN THE AREAS OF CONSUMER PROTECTION/ SEARCH EXPLORATORY OF THE CONSUMERS PERSPECTIVE: THE CAUSES OF THE PHENOMENON OF MARKETING DECEPTION AND ITS IMPACT IN THE AREAS OF CONSUMER PROTECTION/ SEARCH EXPLORATORY OF THE CONSUMERS PERSPECTIVE

The research aims to diagnose the causes of the phenomenon of Marketing deception catalog, which is now deployed in the Iraqi market and related to producers and marketers, consumers, regulators and other institutions) and their impact in the areas of prejudice to the consumer protection (product and signifying specifications, price, advertising, packaging), as well as identify differences in the sample responses according to personal variables, it has been the adoption of the resolution as a tool to collect data and information through a sample survey of consumer opinions totaling 108 people in shopping centers in the province of Baghdad and in the Karkh and Rusafa, It was the use of methods selected statistical represented by the arith

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Publication Date
Sun Jan 04 2015
Journal Name
Journal Of Educational And Psychological Researches
The Skills of Time Management and Causes of Wasting The Time of Heads of Department at University of Baghdad From The Staffers’ Point of View

            Time is very important in educational institutions. It is also one of our contemporary problem ‚as time is a clear – cut and limited factor‚ it demands that administrators should monitor it by administering and monitoring the principles of time.

Hence‚ the researcher attempts to identify the skills of administrating time and the reasons that cause the waste of time of the Heads of Departments at university of Baghdad.

Significance  of the research:

Time is very important to all educational administrators and one of them is the institutions of Higher education. One of the

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Publication Date
Wed Nov 27 2019
Journal Name
Iraqi Journal Of Science
Bit Plane Slicing, Wavelet and Polynomials Mixing for Image Compression

     This paper introduced a hybrid technique for lossless image compression of natural and medical images; it is based on integrating the bit plane slicing and Wavelet transform along with a mixed polynomial of linear and non linear base. The experiments showed high compression performance with fully grunted reconstruction.

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Publication Date
Sun Mar 03 2013
Journal Name
Baghdad Science Journal
The Predication of the Type of Jupiter Radio Storm from Two Different Iraqi Locations

A program in Visual Basic language was designed to predict the type of radio storm that emitted from Jupiter at specific Local Time (LT) from two different Iraqi locations (Baghdad and Basra), such storms result from the Central Meridian Longitude (CML) of system ??? for Jupiter and phase of Io’s satellite (?Io). Some of these storms are related to position of Io (Io- A,B,C,D) and others are unrelated (non-Io-A,B,C,D) to its position. The input parameters for this program were user specified by determining the observer’s location (longitude), year, month and day. The output program results in form of tables provides the observer with information about the date and the LT of beginning and end of each type of emitted storm. Two Io-storm r

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Publication Date
Sat Jul 31 2021
Journal Name
Iraqi Journal Of Science
Some Properties of Fuzzy Inner Product Space

     Our goal in the present paper is to introduce a new type of fuzzy inner product space. After that, to illustrate this notion, some examples are introduced. Then we prove that that every fuzzy inner product space is a fuzzy normed space. We also prove that the cross product of two fuzzy inner spaces is again a fuzzy inner product space. Next, we prove that the fuzzy inner product is a non decreasing function. Finally, if U is a fuzzy complete fuzzy inner product space and D is a fuzzy closed subspace of U, then we prove that U can be written as a direct sum of D and the fuzzy orthogonal complement    of D.

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Publication Date
Thu Sep 01 2011
Journal Name
Journal Of Economics And Administrative Sciences
Analysis of the indicators of the educational process and scientific levelUsing the analysis of variance of ordered data in repeated measurements

In this research want to make analysis for some indicators and it's classifications that related with the teaching process and the            scientific level for graduate studies in the university by using analysis of variance for ranked data for repeated measurements instead of the ordinary analysis of variance . We reach many conclusions  for the                         

important classifications for each indicator that has affected on   the teaching process.         &nb

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