In this paper, Nordhaus-Gaddum type relations on open support independence number of some derived graphs of path related graphs under addition and multiplication are studied.

God Almighty put in his great book secrets that do not end, and wonders that do not expire, for he is the one from which the scholars are not satisfied, and he does not create due to the multitude of response, and it is the comprehensive and inhibitory book that God conceals to the worlds, and he challenged the two heavyweights to come up with something like it.

At all times, issues arise in the Noble Qur’an that fit the needs of the people of that time and their culture, for it is an eternal book, characterized by the ability to give, extend and respond to addressing the problems of the age and its variables, when the Arabs had little luck at the time of the message’s descent from the scientific culture, and their proficienc

This research was carried out to reveal the the technique of the recitation in this story including a preface, introduction, two chapters and the conclusion. the introduction consisted of the problem, significance , purpose and limitations of research. The preface included two paragraphs. The first included a meta-recitation of terminology and semantic. The second paragraph devoted to show the cultural identity of Hussein Rahim. The first chapter aimed to reveal the reality and the imaginary in the story of Na'lat Al Hakawaty (storyteller's curse). The second chapter aimed to study the strange arguments in the story. The research concluded the conclusion by presenting the results for attaching them with the margins, and the references

The )Resalat Al-Gofran) which means to Abi Ala Al-Ma'arri is included in the studies of prose in Arabic literature. The study of the "Message of Forgiveness" was passed in two stages. The first is the traditional linguistic study, specifically the rhetorical one. The second study, which took place in the sixties of the last century, was conducted in the light of comparative literary studies, after Dr. Taha Hussein summarized this letter and rid it of its complex language and after Dr. Bent Shati achieved it. Dr. Lewis Awad relied on her study in the light of comparative studies, Which appeared in Europe in the modern era and was able to discover similarities between them and the old texts that dealt with the subject of "literature of the

The book The Laws of Duwan of Mamati's Son (T, 606 E) His approach to his narratives is a topic of historical and civilized importance. The Fatimid Age of the People of Jehovah has expanded its influence and authority, including ministers, writers, doughnuts and foreshores. One of the Christian families that shined in the late Fatmi era was "Mamati", who lived in "Assiut" from Upper Egypt, then moved to Cairo, and enrolled in the service of the Fatimids, where their sons held important positions in State offices.Ibn Mamati became in charge of the Army Office and then added to it the Finance Office, which became the most important downs in Egypt. Through his work in the Duwan Law Books, this book was a living record of the Dawawans in the Ay

This study aimed to study the effect of Ziziphus spina christi Aqueous cold and Alcoholic leaves and fruits extracts on the growth and activities of the following types of bacteria :( Escherichia coli, Pseudomonas aeruginosa, Staphylococcus aureus and Streptococcus pyogenes ). The results appeared outweigh the alcoholic extract of leaves and fruits of Sidr that prepared by saxholate extractor by addition of ethanol 95% significant superiority as compared with aqueous extract that prepared by using distilled water as was its influence inhibitor to the growth and effectiveness of bacteria , about the treatment of in-vivo to cause injury to these types of bacteria diagnosed laboratory mice and treated with alcoholic extract of the leaves o

Background: Chief complaint of patients attending dental clinic represents the first step towards treatment plan. However, most of patients are not aware but the extent and severity of periodontal disease, which could be also, misdiagnose by the dentist. Aim of the study: To investigate whether reported chief complaint(s) are consistent with oral hygiene status Materials and methods: Records of 1102 patients, attending periodontics clinics in the college of dentistry/ university of Baghdad, were used to determine ten most commonly reported chief complaints. Sample of patients was further subdivided according to gender and age. In addition, plaque and gingival index were recorded to determine oral hygiene status. Results: Patients mostly