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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
Thu Jan 01 2015
Journal Name
Journal Of Baghdad College Of Dentistry
Evaluation of antibacterial effect of irrigant solutions (titanium tetra fluoride, green tea, sodium hypochlorite, normal saline) using real-time quantitative – polymerase chain reaction
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Background: Removal of bacteria from the pulp system by instrumentation of an infected root canal, will be significantly reduced the number of bacteria, but it is well documented that instrumentation alone can-not clean and kill all bacteria found on the root canal walls. Antibacterial irrigants are needed to kill the remaining microorganisms. The aims of this study was to assess antibacterial effect of titanium tetrafluoride (TiF4) solution and brewing green tea against root canal bacteria and to compare with sodium hypochlorite and normal saline through microbiological and molecular studies. Materials and methods: Microbiological study was carried out to determine the concentration of titanium tetrafluoride and brewing green tea at which

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Publication Date
Wed Oct 03 2018
Journal Name
University Of Plymouth
Green networking: analyses of power consumption of real and complex IFFT/FFT used in Next-Generation Networks and optical Orthogonal Frequency Division Multiplexing
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he Orthogonal Frequency Division Multiplexing is a promising technology for the Next Generation Networks. This technique was selected because of the flexibility for the various parameters, high spectral efficiency, and immunity to ISI. The OFDM technique suffers from significant digital signal processing, especially inside the Inverse/ Fast Fourier Transform IFFT/FFT. This part is used to perform the orthogonality/De-orthogonality between the subcarriers which the important part of the OFDM system. Therefore, it is important to understand the parameter effects on the increase or to decrease the FPGA power consumption for the IFFT/FFT. This thesis is focusing on the FPGA power consumption of the IFFT/FFT uses in the OFDM system. This researc

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Publication Date
Sun Jun 01 2014
Journal Name
Alustath Journal For Human And Social Sciences
Obstacles to the application of electronic management in university libraries: the universities of Baghdad and Al-Mustansiriya as a model.
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The research aims to identify the obstacles facing the application of electronic management in our university libraries, including the central library of the University of Baghdad and the central library of Al-Mustansiriya University, the research sample, as they are among the main libraries that used electronic technologies in managing some of their work and in providing their services, and they have a website via the Internet. The research relied on the case study method to identify the obstacles by visiting the two libraries, interviewing their managers and employees responsible for the departments, and answering inquiries about the obstacles that prevent the application of electronic management in order to identify them and find appropr

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Publication Date
Tue Jun 15 2021
Journal Name
Al-academy
The concept of freedom in the texts of Yashar Kamal play "The play (The Plate) as a model": عامر صباح نوري المرزوك
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This research is concerned with studying (the concept of freedom in the texts of Yaşar Kamal the play), as the Turkish playwright (Kamal Yasar) is one of the contemporary playwrights who have been interested in and criticize society, and perhaps the concept of freedom in his texts took a different form, through his ability to renew and present his attempts to create A theatrical form different from his earlier writers in dealing with the life of the peasants and the oppression that went through them, as the researcher identified the problem of his research with the following question: What is the concept of freedom in the texts of Yashar Kamal? The research aims to define the concept of freedom in the texts of Yashar Kamal of the play,

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Publication Date
Sun Feb 10 2019
Journal Name
Journal Of The College Of Education For Women
Arthur Miller’s Tragedy as Reflected in The Crucible
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In the period immediately following the end of World War II, American theatre was transformed by the work of playwright Arthur Miller. Miller tapped into a sense of dissatisfaction and unrest within the greater American psyche because he was profoundly influenced by the depression and the war that immediately followed it. His dramas proved to be both the conscience and redemption of the times; allowing people an honest view of the direction the country had taken.1 Miller has his own concept of tragedy as a modern playwright. He believes that tragedy may depict ordinary people in domestic surroundings instead of talking about a character from a high rank, a king or a queen. Miller’s main concern lies in dramatizing the whole man as he i

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Publication Date
Wed Jun 01 2022
Journal Name
Journal Of The College Of Languages (jcl)
The Existential Dilemma as a Philosophical Problem in The Beggar by Naguib Mahfouz
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     The Beggar (1965) is a story of isolation and depression which is written by the Egyptian novelist Naguib Mahfouz who is considered the father of Arabic Literature in the modern era. Specifically, he refers in his great novel called The Beggar that the man unable to achieve psychological revival after Nasser’s revolution, the man sacrificed his own job and his family for a desire that increases his feelings of alienation and depression which leads him to an emotional outcry against the indifferent. The main aim of the study highlights the concept of existential dilemma as a philosophical problem and personality crisis by the protagonist of The Beggar novel, Omer Al-Hamzawi who had acc

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Publication Date
Sun Oct 02 2011
Journal Name
Journal Of Educational And Psychological Researches
Levels of Geometrical Thinking of The Students of Mathematic Department in Basic Education College at AL- Mustansiriyah University
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This  research aimes to expose the levels of geometrical thinking among the students of mathematic department in Basic Education College at AL-Mustansiriyah University throughout their respondes on the test of  geometrical thinking which consists (50) multi- choice items  distributed on the first four levels of Van Hiele ( recognition – analysis – ordering – deduction ).

The validity and the reliability of the test have been investigated. Besides, the difficulty and its discrimination have been measured. The activity of the wrong variables has been measured.

The test has been applied on (180) male and female students of the first, second and third grades.

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Publication Date
Wed Jul 01 2015
Journal Name
Al–bahith Al–a'alami
The Position of the Oil Press about the World Oil Industry / OAPEC Bulletin 2011-2012 as a Model
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This research deals with the attitude of oil press towards oil industry in the world and the extent of their concerns with the stages of oil industry relating to the abundance of oil and natural gas, as it is an international strategic and complementary industry. The researcher uses the survey method for content analysis of the initial article and the press news for two: years (2011-2012). The results if the study are as follows
1- Oil press is concerned with developing and the stages of the Arabic oil industry in the interest of OAPEC in the first place.
2- It is concerned with exploring, extracting, and marketing oil in the first place, then with refining operations in refineries and petrochemical plants in the second place, an

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Publication Date
Sat Dec 31 2022
Journal Name
College Of Islamic Sciences
Weighting between the texts as the ruling when Imam Al-Salmi
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abstract:

Objectives: The study aims to reveal the approach of Imam Al-Salmi in the weighting between the apparently conflicting texts, and to show the extent of his agreement and disagreement with the rest of the fundamentalists, and does he have vocabulary that can be used to elicit legal rulings in modern contemporary issues?

Method: The method of induction and analysis is one of the main tools to reach the research results. The study resorted to following the sayings of Imam Al-Salmi in various sources and fatwas and standing on them, then analyzing and applying them to the various branches of jurisprudence in the various jurisprudential chapters.

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Publication Date
Wed Jul 01 2015
Journal Name
Bulletin Of The Iraq Natural History Museum (p-issn: 1017-8678 , E-issn: 2311-9799)
THE CHEMISTRY OF THE LEAVES OF PLANT Eucalyptus camaldulensis AS ENVIRONMENTAL CONTAMINATION INDICATOR OF SELECTED LOCATIONS AT KIRKUK - IRAQ
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    The environmental contamination by the polycyclic aromatic hydrocarbons (PAHs) and heavy metals (Pb, Cu, Ni, Cr, and Cd) concentrations in the leaves of plant Eucalyptus camaldulensis were determined at the city of Kirkuk in 15 selected locations using GPS. The pickings up of samples were carried out in two periods October 2010 and March 2011. Compared with results of other studies, the concentration levels of determined heavy metals show values within these studies results. The average total concentration of polycyclic aromatic hydrocarbons (PAHs) in the leaves of Plant Eucalyptus camaldulensis indicated 37.1 ppb in October, while in March 165.2 ppb.

 

    The mode

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