This paper is concerned with introducing and studying the o-space by using out degree system (resp. i-space by using in degree system) which are the core concept in this paper. In addition, the m-lower approximations, the m-upper approximations and ospace and i-space. Furthermore, we introduce near supraopen (near supraclosed) d. g.'s. Finally, the supra-lower approximation, supraupper approximation, supra-accuracy are defined and some of its properties are investigated.

<div><p><em>This study investigates the use of the speech act of request by </em><em>Iraqi EFL (English as a foreign language) learners </em><em>in student-professor e-mail communication. It aims to examine request strategies and internal modifications in academic requests in e-mail. There has been little investigation of the issue of an academic request made by Arab EFL learners to a higher status person via an authentic data. Thus, this study intends to provide more investigation of the strategies and internal modifiers that are produced by Iraqi EFL learners when they interact with their professors via e-mail. However, this study adapts the CCSARP (cross-cultural speech act realization pr

This paper aims to study Antonia's character and  her mannish behavioral  transition  throughout the novel entitled My Antonia. Willa presents Antonia who shows her resolution and courage in facing and dealing with personal dilemmas and social circumstances. Willa portrays Antonia, who struggles in the new society and culture by working hard in changing the salty land of Nebreska and her destiny . Working in salty land day and night forces Antonia to lose her tender behavior and her  beauty as a woman is changed too. She achieves her goals to live with her family in a new place with a dignity and respect though she looks like a man in her strength and body built . Willa Cather tries to explain that the major&

   This paper aims to prove an existence theorem for Voltera-type equation in a generalized G- metric space, called the -metric space, where the fixed-point theorem in - metric space is discussed and its application.  First, a new contraction of Hardy-Rogess type is presented and also then fixed point theorem is established for these contractions in the setup of -metric spaces. As application, an existence result for Voltera integral equation is obtained.  

The Results Of Interest In Capitals And Major Cities Have Become Major Attraction Centers For People In Rural Areas And Different Regions, Especially With The Concentration Of Industrial And Commercial Establishments And Public Services, Which Helped To Find The Wide Differences Between Them. Recently, The Trend To Develop Small Urban Centers In Rural Back Areas Great And Serious Attempt To Reduce Inflation. The Suburb Of Abu Ghraib Is One Of The Important Suburbs Near The City Of Baghdad And Through The Study Of The Reality Of The Suburb Shows That The Outcome Of Its Career And Urban Development Lies In Its Mutual Relationship With The City Of The Mother In The Light Of Considerations And Measures Of The Most Important Accessibility And

Chekhov is well known and perceived in Arab countries. His stories and plays are very popular. They translated it into Arabic by different translators from different languages of the world Many of his stories require new translation solutions to achieve partial, if not complete, equivalence. Chekhov's works are a very difficult subject to analyze and interpret, which is explained by the fact that Chekhov's collections are constantly republished in foreign languages. It is impossible to preserve in translation all the elements of the original text containing historical and national details but, of course, the reader should have the impression that they represent the historical and national situation. When translating, it makes sense to prese

Acquisition provisions in Islamic jurisprudence

Hollow core photonic bandgap fibers provide a new geometry for the realization and enhancement of many nonlinear optical effects. Such fibers offer novel guidance and dispersion properties that provide an advantage over conventional fibers for various applications. Dispersion, which expresses the variation with wavelength of the guided-mode group velocity, is one of the most important properties of optical fibers. Photonic crystal fibers (PCFs) offer much larger flexibility than conventional fibers with respect to tailoring of the dispersion curve. This is partly due to the large refractive-index contrast available in the silica/air microstructures, and partly due to the possibility of making complex refractive-index structure over the fibe