Suppose that is a finite group and is a non-empty subset of such that and . Suppose that is the Cayley graph whose vertices are all elements of and two vertices and are adjacent if and only if . In this paper, we introduce the generalized Cayley graph denoted by that is a graph with vertex set consists of all column matrices which all components are in and two vertices and are adjacent if and only if , where is a column matrix that each entry is the inverse of similar entry of and is matrix with all entries in , is the transpose of and . In this paper, we clarify some basic properties of the new graph and assign the structure of when is complete graph , complete bipartite graph and complete 3-partite graph for every .
There are many harmful acts that occur from drunkards in this case, especially those resulting from car accidents. The world is witnessing dozens or even hundreds of car accidents due to alcohol consumption. These accidents often result in serious injuries that could lead to the death of the drunk driver and those in the car As well as other persons present in the other vehicles with which the incident occurred or pedestrians on the street, as well as damage to private or public property, and if the order of return of the affected persons on the pretext of civil liability (tort) is made as a direct cause of the harmful act, Is entitled Do they like this refer to the liquor seller or their provider as the culprit? Or are they not related to
... Show MoreSmoking have a direct and indirect effects on some organs of the body, this effect is duo to inhaled the smoke and reach the alveoli and in to pulmonary veins. The main objective of this study, to investigate the changes in liver enzymes Alanine aminotransferase(ALT), Aspartate aminotransferase(AST) and Alkaline phosphatase(ALP) and electrolytes like(K+, Na+, Fe+2, Ca+2,Cl- and Po4 -3) in male smokers. In this study collect of (100) blood samples from male smokers and divided in to (3) groups according to period of smoking, and compare with (40) nonsmoker persons (group 4), the age groups are between (25-40) year, in a period between (November 2015-April 2016), within the district of Baqubah in Diyala governorate .The results show increa
... Show MoreThis study aims at identifying the correlation between digital transformation and knowledge building in educational institutions, as well as finding the influence relationship between digital transformation and knowledge building in educational institutions and knowing the dimensions of digital transformation that have the most impact in improving the level of knowledge building, and by adopting the methodological descriptive analysis method in the Ministry of Education. Education and educational institutions in Baghdad. This research deals with digital transformation as an independent variable according to two dimensions (digital adaptability and digital readiness). Knowledge building was adopted as an approved variable using the s
... Show More<p>The objective of this paper is to study the dynamical behavior of an aquatic food web system. A mathematical model that includes nutrients, phytoplankton and zooplankton is proposed and analyzed. It is assumed that, the phytoplankton divided into two compartments namely toxic phytoplankton which produces a toxic substance as a defensive strategy against predation by zooplankton, and a nontoxic phytoplankton. All the feeding processes in this food web are formulating according to the Lotka-Volterra functional response. This model is represented mathematically by the set of nonlinear differential equations. The existence, uniqueness and boundedness of the solution of this model are investigated. The local and global stability
... Show MoreThe study aims at showing the active role of the internal auditors through explaining what they should be obliged to in writing the reports and financial and non financial statements according to the international standards of accounting to be transparent and integral. It also aims at giving the independence that the auditors should enjoy through connecting them to an Auditing Commissions to submit additional services in addition to assessing the instrument of control to evaluate risks, give consultations and the services related to the governance and independence of Supervising Council.
... Show MoreIn this paper we prove that the planar self-assembling micelle system
has no Liouvillian, polynomial and Darboux first integrals. Moreover, we show that the system
has only one irreducible Darboux polynomial with the cofactor being if and only if via the weight homogeneous polynomials and only two irreducible exponential factors and with cofactors and respectively with be the unique Darbox invariant of system.
A new series of morpholine derivative were prepared by reacting the morpholine with ethyl chloro acetate in the presence triethylamine as an catalyst and benzene as a solvent gave the ethyl morpholin-4-ylacetate reaction with hydrazine hydrate and ethanol as a solvent gave the 2-(morpholin-4-yl)acetohydrazide gave series of Schiff base were prepared by reacting 2-(morpholin-4- yl)acetohydrazide with different aromatic aldehydes and ketons . The new series of (3-9 )were synthesis by reaction of Schiff base (10-14) with chloroacetyl chloride, triethyl amine as an catalyst and 1,4dioxane as a solvent .The chemical structures of the synthesis compound were identified by spectral methods their [ IR ,1H-NMR and 13C-NMR ].The synthesised compoun
... Show MorePolymers, being one of the most important materials in dentistry, offer great physical and mechanical qualities, as well as good biocompatibility. Aim of this study was done to evaluate the Polyetherketoneketone and Polyetherketoneketone polymer composite material used as dental implant through tensile strength, Fourier Transform Infrared analysis FTIR, and wettability). Polyetherketoneketone composites (Polyetherketoneketone and Strontium-containing hydroxyapatite) with selected weight percentage ratios of (0, 10%, 20%, 30%), were fabricated using a compression molding technique”, The study involved Samples preparation (sheets) shaped and form into the desired shape according to standard for tests which included tensile strength,
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