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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 Oct 01 2020
Journal Name
Alexandria Engineering Journal
Biodegradation of reactive dyes by some bacteria using response surface methodology as an optimization technique
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Water pollution as a result of contamination with dye-contaminating effluents is a severe issue for water reservoirs, which instigated the study of biodegradation of Reactive Red 195 and Reactive Blue dyes by E. coli and Bacillus sp. The effects of occupation time, solution pH, initial dyes concentrations, biomass loading, and temperature were investigated via batch-system experiments by using the Design of Experiment (DOE) for 2 levels and 5 factors response surface methodology (RSM). The operational conditions used for these factors were optimized using quadratic techniques by reducing the number of experiments. The results revealed that the two types of bacteria had a powerful effect on biodegradable dyes. The regression analysis reveale

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Publication Date
Tue Apr 02 2024
Journal Name
Journal Of Engineering
Revolutionizing Depth Sensing: A Review Study of Apple LiDAR Sensor for as-built Scanning Applications
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Incorporating the LiDAR sensor in the most recent Apple devices represents a substantial development in 3D mapping technology. Meanwhile, Apple's Lidar is still a new sensor. Therefore, this article reviews the potential uses of the Apple Lidar sensor in various fields, including engineering and construction, focusing on indoor and outdoor as-built 3D mapping and cultural heritage conservation. The affordable cost and shorter observation times compared to traditional surveying and other remote sensing techniques make the Apple Lidar an attractive choice among scholars and professionals. This article highlights the need for continued research on the Apple LiDAR sensor technology while discussing its specifications and limitations. A

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Publication Date
Thu Jun 28 2018
Journal Name
Iraqi Journal Of Physics
Measurement of Percentage Depth Dose (PDD) for 6 MeV in water phantom and homogenous actual planning
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Radiotherapy is the branch of clinical medicine concerned with the application of ionizing radiation in the treatment of disease. And it is used to killing of cancer cells in a tissue using ionizing radiation while keeping the sparing of healthy cells at acceptable level. X-ray beams are used to deposit absorbed dose at depth within a patient at the site of the tumor. The aim of this work is studying the relationship between the depth dose and the field size in water phantom and homogenous actual planning. In our work, the dose distribution at different depths (zero-18 cm) deep at1cm interval treated with field size (10×10 and 20×20) cm2 were studied. Results show that high similarity between water phantom and actual planning for

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Publication Date
Fri Jul 29 2022
Journal Name
Journal Of Environmental Science And Health, Part A
Comparing the efficiency of N-doped TiO<sub>2</sub> and commercial TiO<sub>2</sub> as photo catalysts for amoxicillin and ciprofloxacin photo-degradation under solar irradiation
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Publication Date
Wed Jan 30 2019
Journal Name
Journal Of The College Of Education For Women
The Difficulties which Face Public Basic School Principals in Jarash Governorate in Editing Formal Letters and Correspondence and Means of Dealing With These Problems as Perceived by Them
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This study aimed at identity baying the difficulties which face public basic school
principals in jar ash governorate in editing formal letters and correspondence and means of
debating with these problems to collect data the researchers developed a question air were
established the population of the study which represents its sample consisted of 129 principals
65 males and 64 females
The results of the study revealed that the principals face difficulties in office and file
management in preparing plans and reports and writing formal letters and answering them
saved recommendations were presented among which were organizing training sessions and
workshops to train the principals on how to dead with there problems.<

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Publication Date
Thu Dec 22 2022
Journal Name
Fine Art Journal
Spatial relationships and their impact on monumental sculptures (arab capitals as a model)
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The current research deals with spatial relations as a tool to link urban landmarks in a homogeneous composition with monumental sculptures, by identifying these landmarks and the extent of their impact on them, which constitutes an urgent need to evaluate the appropriate place and its effects on them, so that this analytical study is a critical approach adopted in artistic studies of monumental models in Arabcapitals .The current research came in four chapters, the first chapter of which dealt with the research problem, its importance and the need for it, then its objectives that were determined in revealing the spatial relations and their impact on

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Publication Date
Tue Jun 21 2022
Journal Name
Journal Of Planner And Development
Knowing the shape of the physical identity of the city
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This  research deals with the form of the physical identity which is concerned with the features and characteristics that distinguish the shape of the city from other existing cities and reveal its similarity with the self (itself) and objective difference with others.  Accordingly, these features must be sophisticated and variable resulting the shape of the city, while preserving the continuity of time, and eventually leads to the emergence of the whole shape. Physical identity is conceptually equivalent with the terms "personality" and "sense of place".  The research determined the criteria for evaluating the physical identity as follows:              

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Publication Date
Sun Jan 24 2016
Journal Name
Al-academy
Iraq Sophism Recitation "luIIaby as example": أنمار علي حسين
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The research consists of four chapters, and the research aims to uncover the melodic and rhythmic aspects of the Iraqi Sufi chanting (Thalilah as a model) as one of the models of Sufi chanting in Iraq that is held at the tomb of Sheikh "Abdul Qadir Al-Kilani". As for the temporal limit of the research, it is from 2011 to 2012.
The researcher selected two samples for the research sample:
1. Separation of the Thalilah of the Prophet Al Adnani
2. Separate the chanting of prayers
According to the musical analysis, the researcher prepared the search tool, which consisted of eight paragraphs, for a special standard system in line with the research objectives. The validity and reliability of the instrument was verified by experts to

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Publication Date
Fri Jan 05 2024
Journal Name
Al-academy
Theatrical Thechnology & IT Applycation circus clown Sad as sample
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Means the current research to study the organization formal and its role in demonstrating aesthetic values of the publications issued by the Telecommunications Company (Asia Cell) in Iraq, where is the organization the formal need for a mission to find the concepts and dimensions of the functional and expressive and aesthetic added to the impact of the actor in achieving the goals set for the publication.
The target is determined by the researcher to disclose the role of formal organization to show the aesthetic values of the publication to reach scientific results

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Publication Date
Fri Jul 01 2016
Journal Name
Journal Of Engineering
Aluminum Rubbish as a Coagulant for Oily Wastewater Treatment
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In this study an experimental work was done to study the possibility of using aluminum rubbish material as a coagulant to remove the colloidal particles from oily wastewater by dissolving this rubbish in sodium hydroxide solution. The experiments were carried out on simulated oily wastewater that was prepared at different oil concentrations and hardness levels (50, 250, 500, and 1000) ppm oil for (2000, 2500, 3000, and 3500) ppm CaCo3 respectively. The initial turbidity values were (203, 290, 770, and 1306) NTU, while the minimum values of turbidity that have been gained from the experiments in NTU units were (1.67, 1.95, 2.10, and 4.01) at best sodium aluminate dosages in milliliters (12, 20, 24, and 28) for

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