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bsj-7344
Gaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y
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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
Thu Apr 06 2023
Journal Name
Materials Science Forum
Study of the Effect of Ce <sup>3+</sup> on the Gas Sensitivity and Magnetic Properties of Cu<sub>x</sub>Ce<sub>0.3-X</sub>Ni<sub>0.7</sub>Fe<sub>2</sub>O<sub>4</sub> Ferrite Nanoparticles
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This study includes the preparation of the ferrite nanoparticles CuxCe0.3-XNi0.7Fe2O4 (where: x = 0, 0.05, 0.1, 0.15, 0.2, 0.25, 0.3) using the sol-gel (auto combustion) method, and citric acid was used as a fuel for combustion. The results of the tests conducted by X-ray diffraction (XRD), emitting-field scanning electron microscopy (FE-SEM), energy-dispersive X-ray analyzer (EDX), and Vibration Sample Magnetic Device (VSM) showed that the compound has a face-centered cubic structure, and the lattice constant is increased with increasing Cu ion. On the other hand, the compound has apparent porosity and spherical particles, and t

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Publication Date
Fri May 03 2019
Journal Name
Photonics
Design Investigation of 4 × 4 Nonblocking Hybrid Plasmonic Electrooptic Switch
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This paper proposes a compact, plasmonic-based 4 × 4 nonblocking switch for optical networks. This device uses six 2 × 2 plasmonic Mach-Zehnder switch (MZS), whose arm waveguide is supported by a JRD1 polymer layer as a high electro-optic coefficient material. The 4 × 4 switch is designed in COMSOL environment for 1550 nm wavelength operation. The performance of the proposed switch outperforms those of conventional (nonplasmonic) counterparts. The designed switch yields a compact structure ( 500 × 70   µ m 2 ) having V π L = 12   V · µ m , 1.5 THz optical bandwidth, 7.7 dB insertion loss, and −26.5 dB crosstalk. The capability of the switch to route 8 × 40 Gbps WDM signal is demonstrated successfully.

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Publication Date
Tue Jan 01 2013
Journal Name
Journal Of The College Of Languages (jcl)
LA ENSEÑANZA Y EL APRENDEZAJEDELLÉXICO ESPAÑOL ENIRAK
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El tema de esta investigación está directamente relacionado con el papel del léxico en la enseñanza-aprendizaje del español como segunda lengua en el sistema de enseñanza universitariairaquí, donde se llevó a cabo la investigación empírica y la propuesta de criterios de la selección de léxico español.

Este estudio se ha centrado concretamente en los alumnos irakíes de nivel elemental que estudian elespañol como segunda lengua extranjera. Con el fin de conocer los estilos de enseñanza-aprendizaje del vocabulario practicado en las aulas, de determinar las faltas en la selección léxica y realizar propuestas de mejorar la competencia  léxica,  hemos efectuado el an

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Publication Date
Thu Jun 01 2017
Journal Name
Journal Of The College Of Languages (jcl)
Realismo y tradicionessocioculturales en “Bodas de sangre”
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Resumen

El trabajo se investiga en el realismo y la tradición social que incluye la tragedia Bodas de sangre, del autor español Federico García Lorca. A lo largo de estas páginas se da la luz sobre los temas, acciones, oraciones y palabras que pertenecen a la realidad de la vida española en general y sobre todo en territorio andaluz, en el que ocurren los sucesos de la obra.  Así como las tradiciones sociales que el dramaturgo español contemporáneo abundando a lo largo de su texto, y que han sido tomadas de la herencia popular.

    Literariamente, esta obra se clasifica como Tragedia Moderna, por la razón de que incorpora los elementos necesarios de d

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Publication Date
Wed Apr 09 2014
Journal Name
Chemical And Process Engineering Research
Analytical Profile of 4 - (4-Nitro Benzene Azo) - 3 - Amino Benzoic Acid on a Surface of Natural Granulated Calcined Iraqi Montmorillonite Clay Mineral, via Columnar Method
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The adsorption ability of Iraqi initiated calcined granulated montmorillonite to adsorb of 4-(4-Nitrobenzeneazo) 3-Aminobenzoic Acid from aqueous solutions has been investigated through columnar method. The azo dye adsorption found to be dependent on adsorbent dosage, initial concentration and contact time. All columnar experiments were carried out at three different pH values (5.5, 7and 8) using buffer solutions at flow rate of (3 drops/ min.), at room temperature (25±2) °C. The experimental isotherm data were analyzed using Langmuir, Freundlich and Temkin equations. The monolayer adsorption capacity is 6.4066 mg Azo ligand per 1g calcined Montmorillonite. The experiments showed that highest removal rate 90.5 % for azo dye at pH 5.5.The

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Publication Date
Mon Apr 04 2011
Journal Name
Ibn Al-haitham J.for Pure &appl.sci
Anew Spectrophotometric Method For The Determination of La (III) With 3-Hydroxy -4-(2-hydroxy –Phenyl azo)Naphthalene -1-Sulfonic Acid
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A simple, rapid and sensitive spectrophotometric method has been proposed for the determination of La (III) using 3-hydroxy -4-(2-hydroxy-phenyl azo) naphthalene -1- sulfonic acid as a chromogenic reagent. This method is based on the formation of a red-pink colored complex, upon the reaction of La(III) with the reagent in an alkaline medium (pH= 9.50), having a maximum absorbance at 459 nm. Beer's law is valid in the concentration range 0.512 µg.ml-1 with a Sandell's sensitivity value of 0.0188 µg.cm-2 and molar absorptivity of 7376.12 L.mol-1.cm-1. The stoichiometric composition of the chelate is 1:3. The effect of the presence of different cations as interferants in the determination of La(III) under the given optimum conditions wer

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Publication Date
Sun Dec 05 2010
Journal Name
Baghdad Science Journal
Study the structure of Hg1-x Cdx Te alloy
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A study carried out to prepare Hg1-xCdxTe compound and to see the effect on increasing the percentage of x on the compound structure by using x-ray diffraction and atomic absorption for 0

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Publication Date
Sun Mar 01 2020
Journal Name
Plant Archives
Thermodynamic and kinetic analysis of Basic green-4 dye Removal from aqueous solutions using adsorption technique
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In this work, a local sunflower husk (SFH) was used as a natural surface for removing Basic Green-4 (BG4) dye, as a watersoluble pollutant. The effect of initial concentration, contact time, the mass of surface of the dye with the SFH as well as the medium temperature was studied. The application of Langmuir, Freundlich isotherms on the collected data of the adsorption process found to harmonize to Freundlich equation more than that of Langmuir. However, the adsorbed mass of BG4 dye showed a direct increase with the increase of SFH mass and equilibrium was achieved within a 60min window. The interaction of BG4 with SFH surface was spontaneous and exothermic. The empirical kinetic outcomes at ambient temperatures were applied to pseudo 1st a

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Publication Date
Fri Jan 01 2010
Journal Name
Journal Of The College Of Education, Al-mustansiriya University
Synthesis and ldentification of metal complexes of 1- phenyl -3, (2'(S'phenyl amine)'l, 3, 4-thiad iazole'Z'yl) phenyl thiourea.
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Complexes of 1-phenyl-3-(2(-5-(phenyl amino)-1,3,4- thiadiazole-2-yl)phenyl) thiourea have been prepared and characteized by elemental analysis, Ff-[R, and u.v./ visible spectra moreover, determination of metal content M%o by flame atomic absorption spectroscopy, molar conductance in DMSO solution and magnetic moments (peffl. The result showed that the ligand (L) was coordinated to Mn*2, Ni*2, Ct*2,2n*2,Cd*2, and Hg*2 ions through the nitrogen atoms and sulpher atoms. From the result obtained, rhe following general formula [MLClz] has been given for the prepared complexes with an octahedral geometry around the metal ions for all complexes. where M= Mn*2, Ni*2, cu*2, zn*z, cd*z, and Hg*2 l= l-phenyl-3-(2-(5-(phenyl amino)-1, 3,

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Publication Date
Wed Dec 01 2021
Journal Name
Baghdad Science Journal
Analytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties
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This paper aims to find new analytical closed-forms to the  solutions of the nonhomogeneous functional differential equations of the nth order with finite and constants delays and various initial delay conditions in terms of elementary functions using Laplace transform method. As well as, the definition of dynamical systems for ordinary differential equations is used to introduce the definition of dynamical systems for delay differential equations which contain multiple delays with a discussion of their dynamical properties: The exponential stability and strong stability

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