Necessary and sufficient conditions for the operator equation I AXAX n*, to have a real positive definite solution X are given. Based on these conditions, some properties of the operator A as well as relation between the solutions X andAare given.

In this paper the modified trapezoidal rule is presented for solving Volterra linear Integral Equations (V.I.E) of the second kind and we noticed that this procedure is effective in solving the equations. Two examples are given with their comparison tables to answer the validity of the procedure.

When the Italian fascist party leaded & access to the top of regime, it took Benito
Mussolini as a post of Italian prime minister on 1922, that lead to rise the voices which need
to find colonies of Italy, like other colonial countries, especially that of its colonies in Libya,
Eritrea and Somalia were not achieved its ambitions, was to be the occupation of Ethiopia to
revive her dreams to exert control over the Red sea and the Mediterranean and the
establishment of a vast empire satisfy colonial ambitions.
the Italian invasion of Ethiopia gained particularly important, what led to the
disruption of the balance of political forces is not at the level of local powers in the region,
but at the level of the exten

Departments and offices of public relations and media in any institution or company is the most important departments that reflect the results of their work negatively or positively on their reputation. This goes beyond the trust and credibility that its internal and external audiences will give it. Where such matter requires the staff, working in these departments and offices, to have communication skills that qualify them to do the role of marketing the communication message. Yet, the communication skills of public relations and media staff vary from person to person depending on the communication position. This skill has two criteria: Achieving the communication goal and the speed in achieving it as a number of skills

Cinema artist work has not been achieved without location indications ; places are of cultured indications and its effect on behaviors and trends. Location is an important element as to convey meanings via its interaction with the personality about which it has been written may studies. Despite location occupies huge spaces within social and philosophical Drama branches , but it has a strong connection with the art world since it reflects reality of global theories in different fields. Audio and visual speech in Cinema have connected with the environmental effectiveness resulted from location which the sensual understanding interacts with in a way that suits Movie. Location consists of mixing elements of Movie and it in return interacts

The Iranian-Sudanese relations during the era of the transitional government (1985-1986), and the era of the third democratic government, has seen a marked improvement, particularly since the transitional government, which was formed in Sudan following a popular uprising that toppled former President Jaafar Nimeiri followed based on balancing policy in international relations, which is the same policy adopted by the government of Sadiq al-Mahdi that, especially that Mr. Sadiq al-Mahdi had enjoyed close ties with the government in Tehran before he took office, and on the basis of the policy of diplomatic representation between the two countries returned since the time of the transitional government after relations were severed due to the

The roots of international relations: peace or war: A critical review A great debate has taken place about international relations between scholars concerning peace and War .The concept of root is matched with that of exception. And the importance of the research lies in the ensuing results in the report about the legitimacy of war and the space it holds, so if the origin of international relation is war .the obstacles against it are going to decrease .and if the origin lies in peace then the dimension of its legitimacy will narrow. key words: international relation –peace-war. Résumé : L’Origine des relations internationales : guerre ou paix : révisions critiques L’origine des relations internationales entre guerre et paix, a s

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Background: Because of the demands for aesthetic orthodontic appliances have increased, aesthetic archwires have been widely used to meet patient's aesthetic needs. The color stability of aesthetic archwires is clinically important, any staining or discoloration will affect patient’s acceptance and satisfaction. This study was designed to evaluate the color stability of different types of aesthetic archwires after immersion into different types of mouth washes. Materials and methods: Four brands of nickel titanium coated aesthetic arch wires: Epoxy coated (Orthotechnology and G&H) and Teflon coated (Dany and Hubit) were evaluated after 1 week, 3 weeks and 6 weeks of immersion into two types of mouthwashes (Listerine with alcohol and