In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.

Population density represents an important indicator for determining the growth of the size of urban areas. Population density has a direct impact on the quality of life, and its excessive rise may lead to the deterioration of basic service facilities. The problem of the research is that the increase in the total population densities of the residential neighborhood may reflect negatively on the nature of the services provided to the residents in these shops, and thus the failure to achieve sustainability in the residential locality. The research assumes that the increase in population densities negatively affects the achievement of sustainability in the residential neighborhood.

تعـد الوحـدة الوطنيـة لأي شـعب قاعـدة الارتكـاز للبنـاء الحضـاري والتقـدم والتطـور والتنميـة في المجـالات كافـة وبغيابها يفقد الشعب المرتكزات الأساسية لآمنه واستقراره، وقدرته على احتواء الأزمات الناشئة عن الاختلافات العرقيـة والدينية والطائفية، وعلى هذا الأساس فان قيادات الشعب الوطنية يكون هاجسها الدائم الحفاظ على الوحدة الوطنية، وسـد كـل الثغـرات والمنافـذ في جـدرانها لكـي لاتنفـذ مـن خلالهـا ريـاح

The great raise and development of residential buildings in modern cities worldwide as a result of urban extends leads to environmental and social problems, that make the designers looking for more complicated and innovative solutions. To encounter these, most advanced technologies in construction had been used resulting buildings had become higher, which was moved away from the land called residential housing. And with the development of these buildings, increase in the inhabitants inside; generate distant from nature, which increased the need for interactive outdoor recreational spaces open green in its high sections, was an alternative or complementary option to outer space at the ground level. Therefore, the research problem has emer

ان التعايش السلمي والوحدة الوطنية تربطهما علاقة وثيقة تعبر عن حاجة اجتماعية في أطار تطور مجتمعي للدولة العراقية، فقد شهد العراق بعد العام 2003 تحديا جديدا تمثل في تغليب الانتماءات الفرعية والطائفية والعرقية والدينية والمذهبية على الانتماء الوطني مما يؤدي الى بلورة وترسيخ عوامل الانقسام وتفتيت لمقومات الوحدة الاندماج الوطني ، لذلك تعد دعامة التعايش السلمي في المجتمعات ضرورة لازمة من اجل الحفاظ على كينونة

The Arab woman expressed the life of oppression that she suffers from in her masculine environment, as she expressed her linguistic abilities with eloquence and intelligence, as she did not neglect philosophy, wisdom,

The Arab woman expressed the life of oppression that she suffers from in her masculine environment, as she expressed her linguistic abilities with eloquence and intelligence, as she did not neglect philosophy, wisdom, and exhortation

The increase the rates of natural growth, urbanization and continuous migration, this has generated constant pressure and, as a result, the capital city of Baghdad faces a number of challenges related to its urban environment, including the challenge of acquiring real estate.

 and this research examines the impact of these holdings, representing the main base from which the various projects originate Urban in all areas (economic, social, and recreational).

this leads us to the research problem of the obstacles that arise during the process of acquiring real estate to carry out development projects, and to achieve the objectives of research, namely (work to create a regulatory methodology