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Gaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y

The investigation of determining solutions for the Diophantine equation  over the Gaussian integer ring for the specific case of  is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the existence of infinitely many solutions. Since the analytical method used here is based on simple algebraic properties, it can be easily generalized to study the behavior and the conditions for the existence of solutions to other Diophantine equations, allowing a deeper understanding, even when no general solution is known.

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Publication Date
Mon Jun 01 2015
Journal Name
Journal Of The College Of Languages (jcl)
La estructura y el Simbolismo en «Bodas de sangre»

Bodas de sangre es una tragedia en verso del escritor Federico García Lorca escrita en 1932, y estrenada el 8 de marzo de 1933 en el teatro Beatriz de Madrid con gran éxito tanto en España como en Hispanoamérica. Fue llevada al cine por Carlos Saura en 1981. Es una producción poética y teatral que se centra en el análisis de un sentimiento trágico. Desde la vida y la muerte, a lo antiguo y lo moderno, en la manera de ver la tragedia. Todo ello enmarcado en un paisaje andaluz trágico y universal.

   El tema principal que se trata en este drama es la vida y la muerte. Pero de un modo arcano y ancestral, en la que figuran mitos, leyendas y paisajes que introducen al lector en un mundo de

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Publication Date
Thu Jun 01 2006
Journal Name
Journal Of The College Of Languages (jcl)
PABLO NERUDA "Premio Nobel" Y SUS ETAPAS LITERARIAS 1904_1973

Si Alfonso x el sabio y la Escuela de Traductores de Toledo habia hecho del castellana una lengua apta para la expresión cientifica, fue Pablo Neruda quien aplicó su sentido artistico para crear una poesia amorosa de caracter lileraria. Por lo tanto, pocos poetas han llegado ton populares come. Pablo Neruda, en el mismg tiempo: se comsidera esccitor de una abundante producción literaria ne sólo en su ciudad natal de (Chile), Sino ha sida uno de los padres de la poesia hispanoamericana contemporónea. Ademas la influencia que ejerció en el grupo de poetas de la Generación del 27, con los que empezó a relacionarse durante su estancia en Madrid, fue decisiva también para la poesia espańola. Esa era la razon principal que me hizo pe

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Publication Date
Wed Jun 01 2016
Journal Name
Journal Of The College Of Languages (jcl)
Jorge Luis Borges: El hombre de las paradojas Estudio analítico de dos cuentos "el Alpeh y Los dos reyes y los dos laberintos"

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     La literatura española tiene muchísimos de los grandes personajes y las figuras literarias que casi todos desempeñaron de una forma u otra un eficaz  e importante papel en el desarrollo de la literatura española en particular y la literatura universal en general, entre otros podemos mencionar el gran escritor de origen argentino Jorge Luis Borges sobre el mismo gira este trabajo de investigación.

    Sinceramente, podemos decir que el objetivo principal de ese trabajo de investigación es hacer conocer de una forma tan sencilla, tan simple y tan clara al lector público quién es Jorge Luis Borges quien procedía de una familia de próceres

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Publication Date
Sun Jun 05 2016
Journal Name
Baghdad Science Journal
Synthesis and Characterization of New Heterocyclic Compounds from 2, 5- dimercapto -1, 3, 4-Thiadiazole and Their Resins

In this research, a new 1, 3, 4-Thiadiazole derivatives have been synthesized by many heterocyclic reactions. Starting from (2, 5 – dimercapto -1, 3, 4-Thiadiazole) a variety of derivatives have been synthesis. Compound (1) was synthesized by the reaction of hydrazine hydrate with carbon disulphide in absolute ethanol. The compound (1) was reacted with 1, 2-dibromoethane in presence of alkali ethanol to give the compound (2). The compound (3) was formed from the reaction of compound (2) with hydrazine hydrate. Schiff base (4) was obtained by reacting of compound (3) with the compound (p-hydroxybenzaldehyde) in absolute ethanol. A variety of phenolic Schiff base (Methylolic, Etheric, and Epoxy) derivatives have been synthesized. Methylol

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Publication Date
Sun Sep 07 2008
Journal Name
Baghdad Science Journal
The antiviral activity of the compound chalcone (4-ethoxy-2-hydroxy-4, 6-dimethoxy-chalcone) against rubella virus in vitro

The studies on the antiviral compound chalcone in vitro in both tissue and organ culture systems against rubella virus glass that this compound relatively non toxic to the cell culture and organ culture of the concentration of 8 ug/ml or less, chalcone have significantly antiviral activity against rubella virus in tissue culture and organ culture. We find that a concentration of 0.03ug/ml or more inhibit the IOOTCID50 of rubella virus. The therapeutic index (TI) used in this study to evaluate the drug, the (TI) which is the ratio of the dose of drug which is just toxic (Maximum tolerated dose) to the dose which is just effective (Minimum effective dose). If this index is one or less it not possible to use the drug under the conditions outli

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Publication Date
Fri Jul 01 2022
Journal Name
Iraqi Journal Of Science
Molecular Analysis of Y Chromosome Microdeletions in Oligozoospermic Iraqi Patients

This study was designed to determine the correlation between Y chromosome azoospermia factor (AZF) subregions microdeletions and oligozoospermia in infertile men. Subjects included 50 infertile men with oligozoospermia who had been referred to the Fertility Center and infertility treatment in Kamal Al-Samarrai Hospital\Baghdad health office-Iraq. DNA was extracted from blood samples. Polymerase chain reaction (PCR) amplification of 3 loci spanning the AZFa, AZFb and AZFc subregions of the Y chromosome using sY84, sY127 and sY254 and were performed. The frequency of deletions involving AZFa subregion of the Y-chromosome was found in twelve of the patients (24%) in oligozoospermic infertile Iraqi men. While the other subregion (AZFb and AZ

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Publication Date
Mon Feb 08 2016
Journal Name
Iraqi Journal Of Science,
Synthesis, Identification and Evaluation Biological Activity for Some New Triazole, Triazoline and Tetrazoline Derivatives From 2-Mercapto-3- phenyl-4(3H)Quinazolinone

This research, involved synthesis of some new 1,2,3-triazoline and 1,2,3,4- tetrazole derivatives from antharanilic acid as starting material .The first step includes formation of 2-Mercapto-3-phenyl-4(3H)Quinazolinone (0) through reacted of anthranilic acid with phenylisothiocyanate in ethanol, then compound (0) reaction with chloro acetyl chloride in dimethyl foramamide (DMF) to prepare intermediate S-(α-chloroaceto-2-yl)-3-phenylquinazolin-4(3H)-one (1); compound (1) reacted with sodium azide to yield S-(α-azidoaceto-2-yl)-3-phenylquinazolin-4(3H)-one (2), while Schiff bases (3-10) were prepared from condensation of substituted primary aromatic amines with different aromatic aldehydes in absolute ethanol as a solvent. Compound (2)

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Publication Date
Wed Feb 08 2023
Journal Name
Iraqi Journal Of Science
Synthesis, Identification and Evaluation Biological Activity for Some New Triazole, Triazoline and Tetrazoline Derivatives From 2-Mercapto-3-phenyl-4(3H)Quinazolinone

This research, involved synthesis of some new 1,2,3-triazoline and 1,2,3,4-tetrazole derivatives from antharanilic acid as starting material .The first step includes formation of 2-Mercapto-3-phenyl-4(3H)Quinazolinone (0) through reacted of anthranilic acid with phenylisothiocyanate in ethanol, then compound (0) reaction with chloro acetyl chloride in dimethyl foramamide (DMF) to prepare intermediate S-(α-chloroaceto-2-yl)-3-phenylquinazolin-4(3H)-one (1); compound (1) reacted with sodium azide to yield S-(α-azidoaceto-2-yl)-3-phenylquinazolin-4(3H)-one (2), while Schiff bases (3-10) were prepared from condensation of substituted primary aromatic amines with different aromatic aldehydes in absolute ethanol as a solvent. Compound (2) re

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Publication Date
Sun Jun 06 2010
Journal Name
Baghdad Science Journal
Preparation, Characterization and Antimicrobial Activity Study of Some Transition Metal Complexes of 4-Flourophenyl -4-Nitrobenzylidene

A new Schiff base of 4- flourophenyl-4- nitrobenzyliden (L) ,was prepared and used to prepare a number of metal complexes with Cr (III) , Fe (III), Co(II) ,Ni (II) and Cu (II). These complexes were isolated and characterized by (FITR),UV-Vis spectroscopy and flame atomic absorption techniques in addition to magnetic susceptibility, and conductivity measurements. The study of the nature of the complexes formed in ethanol was done following the molar ratio method gave results, agreed with those obtained from isolated solid state studies. The antibacterial activity for the ligand and its metal complexes were examined against two selected microorganisms, Pseudomonas aeruginosa and Staphylococcus aureus.The results indicated that the complexes

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Publication Date
Sat Mar 01 2008
Journal Name
Iraqi Journal Of Physics
The Determination of Lower Limit Detection of X-Ray Fluorescence for Zinc Powder Suspended in Engine Oil

In this work Different weight of pure Zinc powder suspended particles in 4ml base engine Oil were used.
Intensity of Kα Line was measured for the suspended particles ,also for mixture which consist from Zinc particle blended with Engine base Oil. Calibration Curve was drawn between Ikα line Intensity and Zinc concentration at different operation condition. The Lower Limit detection (LLD) and Sensitivity (m) of Spectrometer were determined for different Zinc Concentration (Wt%). The results of LLD and m for Samples were analyzed at Operation Condition of 30KV,17mA is best from Samples were analyzed at Operation Condition of 25KV,15mA

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