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bsj-4152
Representation 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
Wed May 17 2023
Journal Name
College Of Islamic Sciences
Dignity in the books of faith
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The issue of dignity is one of the topics that do not pass as long as the earths and the heavens remain; Because the earth is not devoid of the righteous, the believers, the saints, and the pious, and these do not cease from them aid, dignity, insight, or good vision, and from here the authorship in this section was continuous; Because the people’s need for it is confirmed as time progresses, and in that, Ibn Taymiyyah says in the sum of his fatwas, “And from what it should be known is that dignities may be according to the man’s need, so if the weak needs them Faith or the needy, he is given from it what strengthens his faith and fulfills his needs, and he who is more complete is the guardianship of God than him. He is independent

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Publication Date
Sun Apr 07 2013
Journal Name
Journal Of Educational And Psychological Researches
The effect of relaxation music in reducing symptoms of dental anxiety
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Many behavioral researchers pointed out the importance of relaxation techniques in the treatment of different psychological disorders where find  the importance of these techniques in reducing anxiety and stress and the resulted of behaviors and habits, with the development of these techniques are being used to gain public health, whether mental health or physical or mentality, and one of these techniques is music therapy that reduces tension and anxiety and operates a state of relaxation, which is used in the treatment of  patients of dental clinic.                        

Re

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Publication Date
Tue Oct 04 2022
Journal Name
College Of Islamic Sciences
The aesthetics of metaphor sent in Nahj al-Balaghah
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Abstract

       The main goal of this study is to showcase the aesthetic values contained in Nahj Al-Balagha by exploring its wide horizons and enriching the subject of rhetoric with new forms and images that did not exist in other books, as they characterized no other book but Nahj Al-Balagha. Imam Ali mastered the use of rhetorical forms in his speech to the fullest extent that such forms raced to his thought one after the other to book their place amongst the topics of religious and earthly life. One of those rhetoric forms is synecdoche, in its various parts. Due to this form great importance and high status, it was used by the Imam at many

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Publication Date
Sun Dec 30 2012
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Prediction of The Chemical Composition and Physical properties of Aged Asphalt Cement
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In the present work a modification was made on three equations to represent the
experiment data which results for Iraqi petroleum and natural asphalt. The equations
have been developed for estimating the chemical composition and physical properties
of asphalt cement at different temperature and aging time. The standard deviations of
all equations were calculated.
The modified correlation related to the aging time and temperature with penetration
index and durability index of aged petroleum and natural asphalts were developed.
The first equation represents the relationship between the durability index with aging
time and temperature.

loge(DI)=a1+0.0123(2loge T

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Publication Date
Wed Jan 02 2019
Journal Name
Journal Of The College Of Languages (jcl)
"The wisdom of the Abraham son of Izra": "החכמה אצל המשורר אברהם בן עזרא"
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Abraham son of Izra, the poet, the philosopher, the grammarian, and the Turah exegesis, is considered one of the famous poets in the era of Islamic reign in Spain which is called the "Golden Era". He was taught all types of teaching which was rich in Jewish literary products. He learned Arabic and studied Arabic language and literature. He travelled a lot, and made tours within Spanish places, and even reached the North of Africa. He preferred living with Muslim rulers in the south of Spain, like the rest of the Jews who emigrated from the north of Spain to the South in search for freedom and to participate in higher positions of the Islamic Palace. He was influenced by Arabic culture, and even translated "Th

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Publication Date
Tue Jan 27 2026
Journal Name
Al–bahith Al–a'alami
The problem of defining the vocabulary of teaching Arabic language methodology in media colleges
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This study examined the problem of identifying the vocabulary of the methodology of teaching Arabic language in the faculties of Media. The researcher noticed the existence of an overlap between the syllabuses of the general specialization of the Arabic language and its Media sections in the universities with the special professional vocabulary that suits the study of the media student. Thus ,this study is regarded as a real attempt to present a methodological model of media language that concerns with fillfuling students ‘linguistic and knowledgeable needs relying on measuring their benefits from the methodological Arabic curriculum .  Key words:problem,  teaching’ methodology of Arabic language, media language.

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Publication Date
Tue Jan 27 2026
Journal Name
Sciences Journal Of Physical Education
The relationship of future anxiety to the level of academic ambition among female students
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Publication Date
Thu Dec 15 2022
Journal Name
Al-academy
The image of the soldier in contemporary Iraqi painting
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The research tagged (the image of the soldier in contemporary Iraqi painting) dealt with the concept of the image as one of the basic concepts in the creative achievement, whether it is in the field of art, literature or beauty. Therefore, the concept of the image expanded to express the various aspects of human creativity, including the field of painting. To know the image of the soldier in contemporary Iraqi painting, the research included four chapters. The first chapter focused on the methodological framework of the research, while the second chapter included three sections. The first topic dealt with the philosophical and artistic concept of the image. The second topic was concerned with the representations of the soldier's image in

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Publication Date
Wed May 01 2024
Journal Name
Journal Of Physics: Conference Series
A study of the Electrical and Dialectical proprieties of S<sub>60-</sub>Se<sub>40-X</sub>-Pb<sub>X</sub>Chalcogenide Compound
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Abstract<p>In this study, the melting-cooling method was used to prepare the chalcogenide compound S<sub>60</sub>-Se<sub>40-X</sub>-Pb<sub>X</sub>. Four samples were obtained by partial replacement of Selenium with Lead in the weight ratios x = 0, 10, 20, and 30, respectively. The materials were mixed separately, ground, placed in quartz ampoules, and heated to 500 degrees Celsius. After conducting several operations on the samples, their insulating properties were studied, represented by the real dielectric constant and the imaginary dielectric constant, and the electrical conductivity was measured as a function of the frequency. It was found that partial replacement plays an impo</p> ... Show More
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Publication Date
Fri Dec 16 2022
Journal Name
Journal Of The College Of Languages (jcl)
The official business style of the Russian literary language. Problems of formation.: Официально-деловой стиль русского литературного языка. Проблематика формирования.
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In the article we consider features of official style, its functions and factors which influence the definition of the style. The topicality of the issue can be explained by rapid development of market economy which affects in its turn business correspondence. In this regard, there are a lot of cliché, terms and professionalisms appeared recently. Only correct usage of them can serve as a key to successful communication in Russian as well as other languages. This work highlights documents that are part of the diplomatic style such as declarations, credentials, notes, resolutions and other documents. The administrative style can include orders and instructions.

Аннотация.

 В данной статье рассмо

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