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 .

Objective (s): To assess the QoL of children age from (8- lessthan13) years with acute lymphocytic leukemia undergoing chemotherapy and to find out the relationship between the QoL of children with acute lymphocytic leukemia and their illness history.

Methodology:  A descriptive study included (40) children with acute lymphocytic leukemia who were ranged between (8 - less than 13 years) at the Hematology Center in Medical City for the period from 4^th March 2021 to 1^st September 2021. The sample was non-probability (purposive) sample of children (male and female). A questionnaire designed with 2 main parts was used. The first part focused on sociodemographic characterist

Because asceticism has a great impact on educating the human soul properly, according to what was mentioned in the Book and the Sunnah of the Prophet, and keeping it away from vices and what is devolving into it, and this world and its adornments keep the Muslim away from virtues and work with them in order to reach the Hereafter in which is the eternal bliss that God, peace be upon him, has prepared for the obedient. The two pious obedient ones. And because of the impact of this topic on the Islamic community and adorn it with good qualities. Likewise, I saw many Muslims who do not prefer the life of this world over the hereafter, and they began to fight over the world and enjoy its adornments, and they took pride in money, building, an

Objective: The study aimed to determine quality of life domains for adult patients with limbs loss and to identify
the association between quality of life domains and demographic characteristics and medical information.
Methodology: A descriptive study was carried out at Baghdad artificial limb center, Al-Salam medical
rehabilitation center, Al-Ghadeer medical rehabilitation center and the rheumatoid and medical rehabilitation
center for the period from September 2007 to April 2008. A purposive ''non- probability'' sample of (200)
patients with limbs loss. Questionnaire form was constructed for the purpose of the study. Data were collected
through the application of the questionnaire and interview technique. Data were a

Flourished economic life in the city Asturabaz was the main engine of social and political conditions in the city; In order to provide factors to help the successful cultivation of the city as well as the prosperity of the industry as famous city Asturabaz since ancient times textile industry and won wide acclaim as well as leather and wood industries and the pharmaceutical industry industry in addition to the livestock that have contributed to increased imports of the city, and this led to the prosperity of the evolution of physical movement and intellectual life.

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The real estate prices in the Iraqi market have witnessed a significant increase in the prices of residential units, including land plots and residential buildings, especially after the approval of the new exchange rate and the provision of financial loans to employees and citizens. Therefore, real estate loans are considered one of the financing tools in the housing sector, whether these loans are directed towards the construction of new housing or the rehabilitation of existing buildings for housing. The housing market is an important component of the economic and social system, as housing is a commodity that is influenced by supply, demand, and the trade of materials involved in housing unit production. The housing system is also

The accurate 3-D coordinate's measurements of the global positioning systems are essential in many fields and applications. The GPS has numerous applications such as: Frequency Counters, Geographic Information Systems, Intelligent Vehicle Highway Systems, Car Navigation Systems, Emergency Systems, Aviations, Astronomical Pointing Control, and Atmospheric Sounding using GPS signals, tracking of wild animals, GPS Aid for the Blind, Recorded Position Information, Airborne Gravimetry and other uses. In this paper, the RTK DGPS mode has been used to create precise 3-D coordinates values for four rover stations in Baghdad university camp. The HiPer-II Receiver of global positioning system was used to navigate the coordinate value. The results wil

The location of fire brigade stations and equipment has a significant impact on the efficacy and efficiency of fire brigade department services. The challenge addressed by this study was that the fire brigade department required a consistent and repeatable technique to assess the response capabilities and safeguarding levels offered as the city of Samawah/Iraq grew and changed. Evaluating the locations of the current fire brigade stations in the city of Samawah is the aspect addressed by the research to determine the accuracy and validity of the locations of these stations by the competent authorities and their suitability to the area of the city’s neighborhoods and its residents. The Iraqi Ministry of Housing, Construction, Municipalitie