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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
Thu Jun 30 2022
Journal Name
Iraqi Journal Of Market Research And Consumer Protection
THE USE OF ULTRAVIOLET RAYS TO PRESERVE FERMENTED GREEN OLIVES AND ITS EFFECTS ON CHEMICAL PROPERTIES OF ITS EXTRACTED OIL : THE USE OF ULTRAVIOLET RAYS TO PRESERVE FERMENTED GREEN OLIVES AND ITS EFFECTS ON CHEMICAL PROPERTIES OF ITS EXTRACTED OIL
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The use of ultraviolet rays is one of the methods of treating surface contamination of many foods especially pickles. however, there are some side effects to its use, especially in high percentage oil food products, it is necessary to determine the appropriate doses and time periods to avoid deterioration of its oil physicochemical characteristics. this study was conducted to see the effect of ultraviolet rays 15W on some chemical properties of olive oil when using it to preserve green olive pickles, treated for 5, 10 and 15 min daily. green olive fruits Iraqi variety (al-ashrasi), in season (2020-2021) were pickled using Spanish style, the best time period to pr

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Publication Date
Tue Jan 01 2019
Journal Name
Opción
Phraseological units of the idafa type in the Quran
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Publication Date
Sat Dec 01 2018
Journal Name
Ain Shams Engineering Journal
A semi-analytical iterative method for solving differential algebraic equations
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Publication Date
Mon Jan 01 2024
Journal Name
Aims Mathematics
Solving quaternion nonsymmetric algebraic Riccati equations through zeroing neural networks
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<abstract><p>Many variations of the algebraic Riccati equation (ARE) have been used to study nonlinear system stability in the control domain in great detail. Taking the quaternion nonsymmetric ARE (QNARE) as a generalized version of ARE, the time-varying QNARE (TQNARE) is introduced. This brings us to the main objective of this work: finding the TQNARE solution. The zeroing neural network (ZNN) technique, which has demonstrated a high degree of effectiveness in handling time-varying problems, is used to do this. Specifically, the TQNARE can be solved using the high order ZNN (HZNN) design, which is a member of the family of ZNN models that correlate to hyperpower iterative techniques. As a result, a novel

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Publication Date
Wed Dec 15 2021
Journal Name
Al-academy
Simulation of myths in industrial product design "the seven eyes amulet as a model"
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The research is to identify the legend of the seven eyes amulet of Babylonian origin and the representations it carried of the link between the Babylonian past and the Islamic present presented in the design works of the promoted products, preserving its impact in the souls as a way to avoid the act of envy, and from this was the research problem that I want to get answers to, which That is (How was the legend of the seven-eyes amulet represented in the design of industrial products?), making its goal to identify how that legend was represented within the design work of marketed industrial products, and in order to reach the answer, the research presented many concepts starting with the legend in its various forms in industrial products.

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Publication Date
Wed Jun 10 2009
Journal Name
Iraqi Journal Of Laser
Real Time Quantum Bit Error Rate Performance Test for a Quantum Cryptography System Based on BB84 protocol
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In this work, the performance of the receiver in a quantum cryptography system based on BB84 protocol is scaled by calculating the Quantum Bit Error Rate (QBER) of the receiver. To apply this performance test, an optical setup was arranged and a circuit was designed and implemented to calculate the QBER. This electronic circuit is used to calculate the number of counts per second generated by the avalanche photodiodes set in the receiver. The calculated counts per second are used to calculate the QBER for the receiver that gives an indication for the performance of the receiver. Minimum QBER, 6%, was obtained with avalanche photodiode excess voltage equals to 2V and laser diode power of 3.16 nW at avalanche photodiode temperature of -10

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Publication Date
Sun Jun 06 2010
Journal Name
Baghdad Science Journal
Algebraic Coincidence Periods Of Self – Maps Of A Rational Exterior Space Of Rank 2
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Let f and g be a self – maps of a rational exterior space . A natural number m is called a minimal coincidence period of maps f and g if f^m and g^m have a coincidence point which is not coincidence by any earlier iterates. This paper presents a complete description of the set of algebraic coincidence periods for self - maps of a rational exterior space which has rank 2 .

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Publication Date
Tue Jan 20 2026
Journal Name
Lark Journal For Philosophy , Linguistics And Social Sciences
Nostalgia to the land of Mesopotamia in the novels of Iraqi Jews in the Diaspora
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Publication Date
Fri Jan 01 2010
Journal Name
Journal Of Sports Sciences
Study the reality of the level of arbitration in Iraq Season of 2009-2008 and compared with the previous two seasons
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تعد لعبة كرة القدم ولا زالت من الألعاب التي تحظى بمتابعة الكثير من شرائح المجتمع، وهناك عناصر أساسية لها ( الملعب، الأدوات، اللاعبين، الحكام ) والحكام يشكلون العنصر الرئيس لهذه اللعبة إذ تدار كل مباراة بواسطة طاقم تحكيمي يشمل حكم ساحة بالتعاون مع حكمين مساعدين وحكم رابع ، ومن خلال خبرة الباحثان كونهما يعملان في مجال التحكيم وجدا إن هناك ضعفا في هذا المجال للموسم الكروي (2008 – 2009)، وهذا ما أشارت أليه العديد من وس

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Publication Date
Sun Jan 01 2023
Journal Name
Revista Iberoamericana De Psicología Del Ejercicio Y El Deporte
EXPLORING THE MODELING OF SOCIO-TECHNICAL SYSTEMS IN THE FIELDS OF SPORT, ENGINEERING AND ECONOMICS
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