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bsj-3018
The Representaion of Algebraic Integers as Sum of Units over the Real Quadratic Fields: REPRESENTAION OF ALGEBRAIC INTEGERS AS SUM OF UNITS OVER THE REAL QUADRATIC FIELDS
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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 .

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Publication Date
Sat Jan 01 2022
Journal Name
International Journal Of Research In Social Sciences & Humanities
The effect of the green value chain in reducing environmental failure costs
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The research aims to apply the activities of the green value chain as one of the modern administrative techniques that economic units resort to develop solutions to the pollution problems that occur due to the activity of economic units and their products that may cause damage to the environment as well as the waste of natural resources and to identify the production of environmentally friendly products and reduce the costs of environmental failure of both types Internal and external that may be borne by economic units such as taxes, fines and compensation due to nonobservance of environmental requirements and the preservation of human health and protection of the environment. To achieve the goal of the research, the researchers rel

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Publication Date
Sun Feb 10 2019
Journal Name
Journal Of The College Of Education For Women
The effect of external sources in the students results in Geography subject
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The research aims to identify the current (after the readings in the collection of foreign
students to the geographical material) To achieve this, the researcher developed the following
null hypothesis:
No statistically significant differences at the level of (0.05) between the average scores who
are studying the use of article readings and the average external degree students who are
studying material in the traditional manner of collection.
The researcher has chosen Qsidia middle school Amma, which includes six divisions for
Grade average, randomly selected Division (a) to represent the control group, while
representing the Division of (c) the experimental group and reached the research sample (44)
student, b

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Publication Date
Thu Dec 15 2022
Journal Name
Alustath Journal
''The Middle Poetry of John Clare: The Rural Muse's Mature Nature Poetry''
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Publication Date
Sat Jun 01 2013
Journal Name
Journal Of Economics And Administrative Sciences
Test the effectiveness of transactional and transformational leadership in the Egyptian Environment
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       The present study aims to test a range of hypotheses about the effectiveness of each of the theory of transactional leadership, and the theory of transformational leadership in the Egyptian environment, and to identify any of them are better able to predict the effectiveness of leadership. And after the effect will be to identify the quality of the relationship between the leader and the subordinate in leadership , and what is the role of transformational leadership dimensions influencing the effectiveness of leadership. The field study was conducted on a sample of companies' public and private sector and the government in Egypt. The results of the study resulted in experimental that transacti

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Publication Date
Fri Mar 01 2013
Journal Name
Journal Of Economics And Administrative Sciences
Some indicators of the economic productivity in the industrial sector in Iraq
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Industry represents a cornerstone of the process of economic development and a measure of progress and contribute to increased prosperity and high standard of living.

The researcher analyzed the productivity indicators in industrial facilities large and small at several time periods ranging from 1970 to 2009, according to the economic situation that prevailed in each period.

    Different impact of periods under discussion, it made ​​Iraq the cash surpluses during the period 70-1980 then the effects of the war after 1980 and the economic blockade since 1990, and the subsequent events of the year

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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
Improve the efficiency of the cell Ch neutron irradiation and thermal annealing
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This research aims to study the effect of heat on the efficiency of solar cells of neutrons ranging from card to these cells in the case of dark and light before and after irradiation using the neutron source as well as electrical properties have been studied

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Publication Date
Tue Jan 01 2013
Journal Name
Iraqi Journal Of Physics
Describing the Wavefront Aberrations of the Hexagonal Aperture Using Modified Zernike Polynomials
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n Segmented Optical Telescope (NGST) with hexagonal segment of spherical primary mirror can provide a 3 arc minutes field of view. Extremely Large Telescopes (ELT) in the 100m dimension would have such unprecedented scientific effectiveness that their construction would constitute a milestone comparable to that of the invention of the telescope itself and provide a truly revolutionary insight into the universe. The scientific case and the conceptual feasibility of giant filled aperture telescopes was our interested. Investigating the requirements of these imply for possible technical options in the case of a 100m telescope. For this telescope the considerable interest is the correction of the optical aberrations for the coming wavefront, th

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Publication Date
Mon Mar 08 2021
Journal Name
Baghdad Science Journal
The chronic effects of salinity on the Crustacean Moina affinis Birge (1893)
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Thi s study included the effect of chronic exposure of di fferent concentrations of Nan on the biology of fresh water zroDplonk ton species Moina 41.112' ( Cladcxe'ra The concentrations used for chronic exposure were 03, 0.75. 1 960 to investigate iI effects on the life cycle and la lables of this species after exposure period and the range of this exposure effects on the rate of expectation for further life, also the effect of salinity on reproduotive parameters was studied which included average of total number of eggs and young produced, volume clutch's (6.95. indiclutch for control group , 14.516 indi clutch for 0.596a ,3_65 ind./ clutch for (175 5(.. and 03 Ind} cruel] for 1960) and number of Clutch's (5.5 clutch/ female for control gr

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Publication Date
Tue Jul 15 2025
Journal Name
Smart Innovation, Systems And Technologies
The Role of the European Economic Security Strategy in Managing Economic Risks
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Publication Date
Thu Feb 07 2019
Journal Name
Journal Of The College Of Education For Women
The Redemptive Vision of the Heart and Mind in Margaret Edson's Wit
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Approaching the turning of the millennium, the American theatre witnessed an arousing
interest much shown in patients suffering of severe diseases as a subject matter to drama. In a
discussion of Margaret Edson's Wit, the light is shed on how far such patients, who were literally
involved in secular visions during their life-time, become apt to create a different one on their
death beds. The vision newly blossomed becomes much rooted in the spiritual life; it is a
redemptive vision that can amend what those patients' hearts and minds have long ignored.
Further, the human touch that has been ignored during man's healthy secular life is ultimately
needed for the time being. It helps to enhance man's vision towards the

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