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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
Thu Jul 04 2024
Journal Name
Pharmaceutics
Formulation Development of Meloxicam Binary Ethosomal Hydrogel for Topical Delivery: In Vitro and In Vivo Assessment
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Abstract: The article aimed to formulate an MLX binary ethosome hydrogel for topical delivery to escalate MLX solubility, facilitate dermal permeation, avoid systemic adverse events, and compare the permeation flux and efficacy with the classical type. MLX ethosomes were prepared using the hot method according to the Box–Behnken experimental design. The formulation was implemented according to 16 design formulas with four center points. Independent variables were (soya lecithin, ethanol, and propylene glycol concentrations) and dependent variables (vesicle size, dispersity index, encapsulation efficiency, and zeta potential). The design suggested the optimized formula (MLX−Ethos−OF) with the highest desirability to perform the

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Publication Date
Tue Apr 01 2025
Journal Name
Journal Of Nature And Science Of Medicine
Examining of Predictive Factors for Developing Gastroduodenal Ulcer among Patients Attending Gastrointestinal Teaching Hospitals in Baghdad
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Background and Objectives:

Duodenal and gastric ulcers remain the two most common perforations of the gastrointestinal tract and might be reduced by the early detection of predictive factors, which has limitedly researched. This study conducted to examine the predictive factors for developing of gastroduodenal ulcer among patients attending Gastrointestinal Teaching Hospitals in Baghdad, Iraq.

Materials and Methods:

A cross-sectional survey with a total of 100 patients with gastric and duodenal ulcers was recruited using a nonprobability (purposive) sampling techniqu

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Publication Date
Sat Jun 01 2024
Journal Name
Applied Thermal Engineering
Design and optimization of a household photovoltaic/thermal collector with serpentine tube: Energy and exergy analysis
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Publication Date
Mon Dec 01 2025
Journal Name
Applied Thermal Engineering
Efficient thermal management of PVT systems via water-PCM hybridization: New design with optimized geometrical configuration
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Publication Date
Mon Nov 25 2024
Journal Name
Heat Transfer
Thermo‐Enviro‐Economic Study of Solar Concentrated Hexagonal Covered Tubular Still Using Interrupted and Tilted Receiver
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ABSTRACT<p>Solar energy is still commonly used to produce clean drinking water due to its simple construction, low maintenance, and ecofriendliness. This work aims to experimentally investigate the yield upgrade and the thermal performance of a novel concentrated single‐axis tracking trough tubular solar still (TSS). This tubular still is identified by three baffles that generate four interrupted sections in the U‐receiver, which is inserted with copper mesh and fitted in a hexagonal‐shaped glass cover. Two identical TSS models were side‐by‐side outdoor tested in Baghdad‐Iraq 33.3° N and 43.3° E from January to March 2024. The first is inserted with black copper mesh (Model I), and the other h</p> ... Show More
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Publication Date
Sat Feb 01 2025
Journal Name
Saudi Medical Journal
Spectrum and classification of<i>ATP7B</i>variants with clinical correlation in children with Wilson disease
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Objectives: To study the spectrum and classification of ATP7B variants in Iraqi children with Wilson disease by direct gene sequencing with clinical correlation. Methods: Fifty-five unrelated children with a clinical diagnosis of Wilson disease (WD) were recruited. Deoxyribonucleic acid was extracted from peripheral blood samples, and variants in the ATP7B gene were identified using next-generation sequencing. Results: Seventy-six deleterious variants were detected in 97 out of 110 alleles of the ATP7B gene. Thirty (54.5%) patients had 2 disease-causing variants (15 homozygous and 15 compound heterozygous). Twelve (21.8%) patients had one disease-causing variant and one variant of uncertain significance (VUS) with potential pathogenicity. T

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Publication Date
Sun Apr 01 2012
Journal Name
2012 International Conference On Future Communication Networks
Efficient method to find the multiplicative inverse in GF (2&lt;sup&gt;m&lt;/sup&gt;) using FPGA by exponentiation to (2&lt;sup&gt;k&lt;/sup&gt;)
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Publication Date
Sun Apr 01 2012
Journal Name
2012 International Conference On Future Communication Networks
Efficient method to find the multiplicative inverse in GF (2&lt;sup&gt;m&lt;/sup&gt;) using FPGA by exponentiation to (2&lt;sup&gt;k&lt;/sup&gt;)
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Multiplicative inverse in GF (2 m ) is a complex step in some important application such as Elliptic Curve Cryptography (ECC) and other applications. It operates by multiplying and squaring operation depending on the number of bits (m) in the field GF (2 m ). In this paper, a fast method is suggested to find inversion in GF (2 m ) using FPGA by reducing the number of multiplication operations in the Fermat's Theorem and transferring the squaring into a fast method to find exponentiation to (2 k ). In the proposed algorithm, the multiplicative inverse in GF(2 m ) is achieved by number of multiplications depending on log 2 (m) and each exponentiation is operates in a single clock cycle by generating a reduction matrix for high power of two ex

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Publication Date
Sun Jul 01 2018
Journal Name
Journal Of Educational And Psychological Researches
Item Difficulty and Item Discrimination Coefficient for School and College Ability Tests (SCAT) Advanced Form in Classical Test Theory (CTT) and Item Response Theory (IRT) and the Correlation among Them
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Item Difficulty and Item Discrimination Coefficient for School and College Ability Tests (SCAT) Advanced Form in Classical Test Theory (CTT) and Item Response Theory (IRT) and the Correlation among Them Mohammad moqasqas Haifa T. Albokai Assistant Professor of Measurement and Evaluation Associate Professor of Measurement and Evaluation College of Education, Taibah University The aim of this study was to study the item difficulty and item discrimination of the SCAT (advance form) with CTT, and IRT, and to study the correlation among them. To do this, the researchers used the data of their previous study, which conducted in (2011). It consisted of (3943) subject. Then, they used two-statistical programs (TAP, Bilog-MG-3) to obtain the item

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Publication Date
Tue Feb 02 2021
Journal Name
مجلة بحوث الشرق الأوسط
PROPÓSITOS RETÓRICOS DE LA VOZ PASIVA EN EL NOBLE CORÁN Estudio comparativo entre dos versiones españolas الأغراض البلاغية لصيغة المبنى للمجهول فى القرآن الکريم «دراسة مقارنة بين ترجمتين للقرآن الکريم»
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This research deals with the rhetoric purposes of the passive voice in the holy Quran. First, we put an introductory to the concept of the Quran language and its difference of the spoken Arabic language during the revelation period. Besides; we gave a brief about the structure passive voice form of Arabic language. Second, we explained the purposes of passive voice used in the holly Quran with sufficient examples, commentaries and clarifications about all the cases. Rhetoric purposes that we deals with are: concision, emphasize an idea, avoid using the subject because it is known and clear for all or because it is really unknown, etc. This part has contained the most important purposes for the use of passive voice in holy Quran. At the end

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