In this paper we generalize Jacobsons results by proving that any integer  in   is a square-free integer), belong to . All units of  are generated by the fundamental unit  having the forms

Our generalization build on using the conditions

This leads us to classify the real quadratic fields  into the sets  Jacobsons results shows that  and Sliwa confirm that  and  are the only real quadratic fields in .

Purpose: The concept of complete street is one of the modern trends concerned with diversifying means of transportation and reducing the disadvantages of mechanical transportation modes. This paper discusses the role of complete streets can play in developing the urban environment in the Alyarmok District of Baghdad.   Method/design/approach: The linear regression method used to analyze the opinions of 100 respondents surveyed in the study area in order to find the relationship between the urban environment and the complete street elements.   Theoretical framework: The Modern trends in urban planning aim to find alternatives to the policies of traditional transportation planning that focus on vehicular mobi

Background: In the past, an association between Tuberculosis (TB) and Diabetes Mellitus (DM) was widely accepted, today the potential public health and clinical importance of this relationship seems to be largely ignored. The national clinical and policy guidance in the UK on the central of TB, for example, does not consider the relationship with DM.Objectives: To determine the risk of association between diabetes mellitus and pulmonary TB.Methods: A retrospective study conducted in Ibn Zuhr hospital for chest diseases from Jan 2008 – sep 2010 , included in the study 402 patients with TB divided into diabetic & non diabetic, 96 (23.8%) were diabetic while other 306 were TB not diabetic.Results: Risk of TB among DM patients were cle

In this study an experimental work was done to study the possibility of using aluminum rubbish material as a coagulant to remove the colloidal particles from oily wastewater by dissolving this rubbish in sodium hydroxide solution. The experiments were carried out on simulated oily wastewater that was prepared at different oil concentrations and hardness levels (50, 250, 500, and 1000) ppm oil for (2000, 2500, 3000, and 3500) ppm CaCo₃ respectively. The initial turbidity values were (203, 290, 770, and 1306) NTU, while the minimum values of turbidity that have been gained from the experiments in NTU units were (1.67, 1.95, 2.10, and 4.01) at best sodium aluminate dosages in milliliters (12, 20, 24, and 28) for

Presentation of urinary calculus ranges from painful urination to acute retention. Diagnosed by x-ray pelvis and non-contrast CT and removal of stone by various methods is the management. Variety in symptoms, sometimes make clinical diagnosis difficult until radiological investigations confirm it. In this case presentation, initial diagnosis was made of Urethrocutaneous fistula may be due to distal stricture, but on investigating, he was diagnosed as urethral calculus in urethral diverticulum , as the reason for his symptoms

Role of public relations (PR) and from one community to another, depending on the different cultures of these societies in General, and different ethical values established by their practitioners in these communities organizations  , public relations in developed societies, and in  some developing countries have taken great strides to contribute to the strategic planning and decision-making, in the framework of their commitment to the values and ethical standards for practitioners, In contrast, we find that applied in Iraq still skips phase coordinate with different communication means with the aim of advertising and publicity for the organization. As a result of the limited recognition of the strategic and vital 

   The research aims to indicate the relationship between lean production tools included seven {constant improvement , and Just in time (JIT), and the production smoothing , and quality at the source, and standardized work, Visual management, and activities 5S }  and  Mass Customization strategy for the model (Pine & Gilomer, 1997) {collaborative, adaptive, cosmetic, transparent}, as well as providing a conceptual framework and applied for variables search to clarify how they will choose a Mass Customization strategy through the lean production tools, , and recognize the reality of the practices of Iraqi industries in such a field. Moreover, aims to highlight the positive aspects that accrue to companies a

The Middle East fat tailed sheep Ovis aries L. examined within the boundaries of Al-Anbar province, western Iraq was found to acquire seven species of ixodid ticks namely, Hyalomma
anatolicum, H. excxavatum, H. marginatum turanicum, H. detritum, Hyalomma sp., Rhipicephalus turanicus and R. s. sanguineus. The results discussed with the pertinent
literature.

قد يشعر الطلبة و الاساتذة بالملل و الروتين وقلة الاهتمام بما يقومون به  مما يؤدي تدني الفاعلية الذاتية وتدني احترام الذات و تدني الافكار المسبقة عن الاداء و توقع النجاح في المهمات و هذا الشعور يؤدي الى تدني امكانية تطوير فاعلية ذاتية في اداء التدريسين و في المذاكرة و التحصيل لدى الطلبة , و بما ان طلبة الجامعة هم فئة مهمة في المجتمع تقع عليهم مسؤولية قيادة معظم مفاصل المجتمع و ميادينه و يمثلون طاقة انتاجية ب

This paper is concerned with the blow-up solutions of a system of two reaction-diffusion equations coupled in both equations and boundary conditions. In order to understand how the reaction terms and the boundary terms affect the blow-up properties, the lower and upper blow-up rate estimates are derived. Moreover, the blow-up set under some restricted assumptions is studied.