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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 12 2019
Journal Name
Journal Of The College Of Education For Women
The geomorphological associated of Sebkha in the Mesopotamia- plain of Iraq
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The Sebkha of geomorphological aspects of evaporative where climate leads active role, which forms part of the earth's surface in the form of Iraqi Mesopotamia plain who of the most fertile land, and because of natural factors and human Common turned most of the arable land to the territory of Sebkha. It was to determine the exact geomorphological associated of Sebkha formats by field work such as: Alnbaka, lakes, salt flats, and other forms of Small is: bridges salt, mud cracks, salt ponds, Rectangles and polygons salt, Sahaf salt, salt domes, salt gravel, bumps saline (salt points), Ash salt, salt bows, in detail and accurately documented Terrestrial Photogrammetry field and were compared to the levels and standards varieties have been

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Publication Date
Wed Apr 01 2015
Journal Name
Journal Of Economics And Administrative Sciences
Identifying the Phenomenon of monopoly according to the vision of Accounting
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The research seeks to identify the factors affecting the monopoly and the possibility of measuring the phenomenon of economic ( monopolistic profit) accounted for and that the importance of research topic arising from the transformation of the majority of developing countries to the market economy, which represents the image of the capitalist economy, which is a monopoly, a stages that economy in its various forms, whether Market Worldwide sales monopoly or monopoly, which generates absolute monopolistic profits, which more or less affect on the overall economy of those countries than they should study the phenomenon of monopoly and its impact on the economies of those countries that still love to find her site reinforces its pos

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Publication Date
Thu Aug 07 2025
Journal Name
Baghdad Science Journal
Study the effect of position on the time of astronomical twilight
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Twilight is that light appear on the horizon before sunrise and after sunset, Astronomically it is known that sunrise and sunset are effected by high above sea level, but the effect of high above sea level on the time of astronomical twilight still not decided and controversy among astronomers, in This research we studies the effect of high above sea level on the time of astronomical twilight, through adding the equation correct high above sea level to equation computation of twilight and then calculate of changing in the time of twilight for different highest (0-10000) meters above sea level , and the ratio of increase for time with high between (15.45-20.5) minutes. It was found that there was an increase in the time of the twilight along

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Publication Date
Sat Feb 09 2019
Journal Name
Journal Of The College Of Education For Women
The role of satellite channels in the dissemination of consumer culture
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This study is concerned look at the role of satellite channels in the dissemination of
consumer culture that has become part of our everyday lives , which is a dangerous
phenomenon on society , so the study is aimed at introducing the concept of consumer culture
and the risks to individuals , which conducted a field study on a sample of students from the
University of Baghdad, as they represent an important category of the society they are a class
of young people to get to know the impact of satellite television on them through their various
programs and serials, films and ads may develop consumer culture they have , including in
respect of ideas and information , where the questionnaire was developed to ensure diffe

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Publication Date
Wed Dec 14 2022
Journal Name
Nasaq Journal
The Effect of Co-text on the Comprehensibility of World Englishes
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MR Younus, Nasaq Journal, 2022

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Publication Date
Fri Dec 01 2023
Journal Name
Political Sciences Journal
Impact of the Rising of China in Restructuring the International System
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It is no secret to everyone that the Arab individual suffers from poor self-awareness and political awareness, which made the state and the importance of its existence and preserving its institutions not among his interests, which made researchers wonder about the possibility of strengthening it and the extent of its impact on the future of building the contemporary Arab state. So, the study attempts to addressing the issue of community awareness and its impact on building the state through a clear intellectual vision that blended what is social and political to define the concept of community awareness and highlight its importance and role as a basic pillar in shaping and building modern Arab countries in the Arab world and ways to enha

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Publication Date
Sat May 16 2009
Journal Name
Journal Of Planner And Development
Quantitative analysis of the economic characteristics of the land transport network
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Highway network could be considered as a function of the developmental level of the region, that it is representing the sensitive nerve of the economic activity and the corner stone for the implementation of development plans and developing the spatial structure. The main theme of this thesis is to show the characteristics of the regional highway network of Anbar and to determine the most important effective spatial characteristics and the dimension of that effect negatively or positively. Further this thesis tries to draw an imagination for the connection between highway network as a spatial phenomenon and the surrounded natural and human variables within the spatial structure of the region. This thesis aiming also to determine the natu

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Publication Date
Thu Feb 07 2019
Journal Name
Journal Of The College Of Education For Women
(Love and Love) in the light of the significance of Quranic
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Thanks allah and peace be upon our prophet muhammed and upon his family and his
followers……
Love means in holy quran what comes to people s mind nowadays and what it inspired its
signi ficence is related with sensual desire and it means adore and passion .by the waythe
word (ishiq) adore wasn’t mentioned in holy quran which means that both of their bases are
farfrom each oiter in m eaning.
The significance of love means virtue while adore means the excess and desire so adore is
dis praised . as al askari said (died 395h )between love and adore.adore is the strain of desire
to get the purpose from lovers if it was ahuman who intended to make love affairs.
Today both of love and adore changed in their meani

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Publication Date
Tue May 16 2023
Journal Name
Political Sciences Journal
Criticism of the Green Political Thought of the Modernist Intellectual Output
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In the last decades of the twentieth century, ideas emerged that were increasingly being floated, stating that the planet is suffering from a population explosion, depletion of resources, and environmental problems that require action to be addressed. Although these problems in practice need scientific solutions, the problem is that these solutions collide with ideologies. Here the green political thought emerges, based on the criticism of many ideological axioms. The owners of green thinking agree that most environmental damage is due to the humanist doctrine. It criticizes modernity accompanied by a scientific revolution, where this criticism centered around (the rationality of the scientific and technological mind), here the green pol

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Publication Date
Mon Jun 19 2023
Journal Name
Journal Of Engineering
The Effect of Hydraulic Accumulator on the Performance of Hydraulic System
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The purpose of this paper is to depict the effect of adding a hydraulic accumulator to a hydraulic system. The experimental work includes using measuring devices with interface to measure the pressure and the vibration of the system directly by computer so as to show the effect of accumulator graphically for real conditions, also the effects of hydraulic accumulator for different applications
have been tested. A simulation analysis of the hydraulic control system using MATLAB.R2010b to study was made to study the stability of the system depending on the transfer function, to estimate the effect of adding the accumulator on stability of the system. A physical simulation test was made for the hydraulic system using MATLAB to show the ef

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