R. Vasuki [1] proved fixed point theorems for expansive mappings in Menger spaces. R. Gujetiya and et al [2] presented an extension of the main result of Vasuki, for four expansive mappings in Menger space. In this article, an important lemma is given to prove that the iteration sequence is Cauchy under suitable condition in Menger probabilistic G-metric space (shortly, MPGM-space). And then, used to obtain three common fixed point theorems for expansive type mappings.

Racism is a serious issue that impacts a lot of people around the world. Since slavery days, racial discrimination has been increasing to abhorrent levels in relation to black people. The aim of individual psychology by Alfred Adler is to study human behaviour by situating it in the social context which makes his writing ideal to explanation of racism. This paper aims to study racism in Roy Williams’ Fallout from the perspective of Alfred Adler’s theory. Alfred Adler's individual psychology emphasizes the importance of social factors in shaping individual behavior, including the ways in which individuals form their sense of self and identity. This makes it a valuable framework for understanding the complex social and psychological facto

The world went through turmoil before the sixth century AD, and human societies were in conflict and rivalry, each strong state is a weak state-dependent, but the dominant societies made the slave societies to them .. And thus made many societies or civilizations system of classes, and differentiation between members of one community, Weakened its strength and go alone. As the Islamic society in the present weak and weak and falling to the lowest levels of civilizational underdevelopment in the organization of society and social security contrary to what it was Islamic civilization, because of our distance from the heavenly instructions, and this prompted many to walk behind Western ideas aimed at the demolition of Islamic civilization,

Assessment of the in service behavior of asphalt stabilized subgrade soil under environmental impact has got little attention by the research workers. However, the sustainability of the roadway depends mainly on the welfare of its subgrade soil condition. In this work, Gypseous soil was stabilized with asphalt emulsion for subgrade usage, the durability of the mixture has been assessed in term of its ability to maintain the compressive strength when practicing the environmental impacts. Specimens of 38 mm in diameter , and 76 mm in height have been prepared with various water-asphalt percentages, and subjected to 30 cycles of (freezing-thawing), (heating-cooling) and (wetting-drying) processes. Specimens have been tested for unconfined comp

في هذا العمل تم دراسة المقاسات الاولية من النمطEn المرصوصة المكتضة ودراسة  تعيم هذا المفهوم الى مفهوم الآثار الاولية من النمط En المرصوصة المكتضة حيث تم دراسة بعض العلاقات والتشخيصات الخاصة بهذه المفاهيم حيت تم برهنت العلاقات الخاصة بمفهوم المقاسات الاولية من النمط En المرصوصة المكتضة ليكن ₩ مقاس و كل مقاس جزئي  هو اولي من النمط  En  فان المقاس ₩ هو مقاس اولي من النمط En مرصوص مكتض اذا و فقظ اذا كل مقاس جزئي د

This study examines the vibrations produced by hydropower operations to improve embankment dam safety. This study consists of two parts: In the first part, ANSYS-CFX was used to generate a three-dimensional (3-D) finite volume (FV) model to simulate a vertical Francis turbine unit in the Mosul hydropower plant. The pressure pattern result of the turbine model was transformed into the dam body to show how the turbine unit's operation affects the dam's stability. The upstream reservoir conditions, various flow rates, and fully open inlet gates were considered. In the second part of this study, a 3-D FE Mosul dam model was simulated using an ANSYS program. The operational turbine model's water pressure pattern is conveyed t