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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
Sat Apr 01 2023
Journal Name
Journal Of Engineering
Estimation of Water and Energy Saving by Rainwater Harvesting: Sulaimani City as a Case Study
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Rainwater harvesting could be a possible solution to decrease the consequences of water scarcity and energy deficiency in Iraq and the Kurdistan Region of Iraq (KRI). This study aims to calculate the water and energy (electricity) saved by rainwater harvesting for rooftops and green areas in Sulaimani city, KR, Iraq. Various data were acquired from different formal entities in Sulaimani city. Moreover, Google Earth and ArcMap 10.4 software were used for digitizing and calculating the total rooftop and green areas. The results showed that for the used runoff coefficients (0.8 and 0.95), the harvested rainwater volumes were 2901563 and 12197131 m³ during the study period (2005 – 2006) and (2019-2020). Moreover, by compa

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Publication Date
Sat Mar 31 2018
Journal Name
Journal Of Engineering
Potential of Microalgae Cultivation in Dairy Wastewater as a Step in Low-Cost Biofuel Production
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The present study addresses adopting the organic and nutritious materials in dairy wastewater as media for cultivation of microalgae, which represent an important source of renewable energy. This study was carried out through cultivation of three types of microalgae; Chlorella sp., Synechococcus, and Anabaena. The results shows the success the cultivation of the Synechococcus and  Chlorella Sp, while the Anabaena microalgae were in low-growth level. The highest growth was in the Synechococcus farm, followed by Chlorella and Anabaena. However, the growth of Synechococcus required 10 days to achieve this increase that re

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Publication Date
Wed Sep 24 2014
Journal Name
International Journal Of Environmental Science And Technology
Removal of copper ions from contaminated groundwater using waste foundry sand as permeable reactive barrier
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Publication Date
Sat Jun 01 2013
Journal Name
Journal Of The College Of Languages (jcl)
جوطرافياى شيَوةزارى باجةلآنى ناسراو بة شيَوةزارى شةبةك Geography of Bajalan Variety known as Shabak variety
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Shabak is one of minority related to Kurdish nation , speaking Bajalan variety especially Goran Dialect.

     This study is a historic  and diactological study about Kurdish Bajalan variety.The study is composed an  introduction and tw0 chapters. The first  chapter talks about Bajalan variety , and it has two axes . In the first axe , I talk about the geography of Bajalan variety and in the second axes the map of goran dialect . The second chapter is about Shabak variety and it is constituted of three axes : The first section is about Shabak variety , in the second section is allocated to the domicile of Shabak variety and in the third section , talks about the saint of shabak and in the end the

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Publication Date
Mon Jul 10 2023
Journal Name
Journal Of Engineering
Uptake of Fluoride from Water Using Recycled Raw Beef Bone as an Environmently Freindly Waste
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Excessive intake of fluoride, mainly through drinking water is a serious health hazard affecting humans worldwide. In this study, the defluoridation capacities of locally available raw waste beef bones have been estimated. Several experimental parameters including contact time, pH, bone dose, fluoride initial concentration, bone grains size, agitation rate, and the effect of co-existence of anions in actual samples of wastewater were studied for fluoride removal from aqueous solutions. Results indicated excellent fluoride removal effeciency up to 99.7% at fluoride initial concentration of 10 mg F/L and 120 min contact time. Maximum fluoride uptake was obtained at neutral pH range 6-7. Fluoride removal kinetic was well described by the ps

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Publication Date
Tue Jun 01 2021
Journal Name
Baghdad Science Journal
Experimental and Theoretical Study of Neomycin Sulfate as Corrosion Protection for Titanium in Acid Media
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        The experimental and theoretical methods were studied for inhibition of the corrosion titanium in HCl by using neomycin sulfate drug. The results of neomycin sulfate drug had good corrosion protection for titanium in hydrochloric acid and the inhibition efficiency (%IE) increasing with increasing concentration of drug because the neomycin sulfate drug had adsorption from acid solution on surface of titanium metal. The program of hyperchem-8.07 was used for theoretical study of the drug by molecular mechanics and semi-empirical calculations. Quantum chemical was studied drug absorption and electron transferred from the drug to the Titanium metal, also inhibition potentials of drug attachment with the (LUMO-HOMO) energy gap,

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Publication Date
Sun Dec 01 2019
Journal Name
Baghdad Science Journal
Extraction, Purification and Characterization of Peroxidase from Pseudomonas aeruginosa and Utility as Antioxidant and Anticancer
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        Peroxidase is a class of oxidation-reduction reaction enzyme that is useful for accelerating many oxidative reactions that protect cells from the harmful effects of free radicals. Peroxidase is found in many common sources like plants, animals and microbes and have extensive uses in numerous industries such as industrial, medical and food processing. In this study, P. aeruginosa was harvested to utilize and study its peroxidases. P. aeruginosa was isolated from a burn patient, and the isolate was verified as P. aeruginosa using staining techniques, biochemical assay, morphological, and a sensitivity test. The gram stain and biochemical test result show rod pink gram-ne

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Publication Date
Thu Dec 01 2022
Journal Name
Baghdad Science Journal
Molecular Characterization of Potential Crop Pathogens Associated with Weeds as Endophytes in Uniilorin Plantations, Nigeria
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Crop diseases are usually caused by inoculum of pathogens which might exist on alternate hosts or weeds as endophytes. These endophytes, cum pathogens, usually confer some beneficial attributes to these weeds or alternate hosts from protection against herbivores, disease resistance, stress tolerance to secondary metabolites production. This study was therefore carried out to isolate potential crop pathogens which exist as endophytes on weed species in the University of Ilorin plantations. Green asymptomatic leaves were collected from 10 weed species across the plantations, and processed for their endophytic fungi isolation. Isolates were purified into pure cultures and used for molecular identification using the internal transcribed spac

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Publication Date
Mon Apr 23 2018
Journal Name
Ibn Al- Haitham Journal For Pure And Applied Science
Performance of Strelitzia reginae Flowers Dye as Sensitizer for New Dye-Sensitized Solar Cell Fabrication
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        In current study, the dye from flowers petals of Strelitzia reginae used for the first time to prepare natural photosensitizer for DSSC fabrication. Among five different solvents used to extract the natural dye from S. reginae flowers, the ethanol extract of anthocyanin dye revealed higher absorption spectrum of 0.757a.u. at wavelength of 454nm.  A major effect of temperature was studied to increase the extraction yield. The results show that the optimal temperature was 70 °C and there was a sharp decrease of dye concentration from 0.827 at temperature of 70 °C to 0.521 at temperature of 90°C. The extract solution of flowers of S. reginae showed higher concentration in acidic media, especially at pH 4 (0.902). The

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Publication Date
Thu Jan 24 2019
Journal Name
Journal Of Education College Wasit University
“They’ve damaged your uniqueness”: Technology as a Source of Dystopia in Caryl Churchill’s A Number
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This study focuses on the impact of technology on creating a dystopian world as presented by the English playwright Caryl Churchill in her play A Number (2002). This dramatic work came as a reaction to the most crucial and valuable turning point in the scientific achievements of human engineering, namely, the cloning of the sheep called Dolly. Therefore, A Number is a play that presents an analytical stage for imagining the biotechnological and scientific future. This dramatic vignette captures the playwright’s fears towards the abnormal progress of technology and science and how far such technological progress affects human relationships and identity. It also portrays how technological progress results in the feeling of a lack of

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