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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
Tue Jun 01 2021
Journal Name
Baghdad Science Journal
Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials
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A new method based on the Touchard polynomials (TPs) was presented for the numerical solution of the linear Fredholm integro-differential equation (FIDE) of the first order and second kind with condition. The derivative and integration of the (TPs) were simply obtained. The convergence analysis of the presented method was given and the applicability was proved by some numerical examples. The results obtained in this method are compared with other known results.

 

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Publication Date
Sat Jan 01 2005
Journal Name
Journal Of The College Of Languages (jcl)
Ser y Estar
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Ser y Estar

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Publication Date
Wed Mar 01 2023
Journal Name
Baghdad Science Journal
Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma
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This paper aims to study the fractional differential systems arising in warm plasma, which exhibits traveling wave-type solutions. Time-fractional Korteweg-De Vries (KdV) and time-fractional Kawahara equations are used to analyze cold collision-free plasma, which exhibits magnet-acoustic waves and shock wave formation respectively. The decomposition method is used to solve the proposed equations. Also, the convergence and uniqueness of the obtained solution are discussed. To illuminate the effectiveness of the presented method, the solutions of these equations are obtained and compared with the exact solution. Furthermore, solutions are obtained for different values of time-fractional order and represented graphically.

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Publication Date
Sun Mar 07 2010
Journal Name
Baghdad Science Journal
Synthesis of New Heterocyclic Derivatives from 4-(3, 5-Dimethyl-1-phenyl-1H-pyrazol-4-ylazo)- benzoic acid
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In this work pyrazolin derivatives were prepared from the diazonium chloride salt of 4-aminobenzoic acid. Azo compounds were prepared from the reaction of an ethanolic solution of sodium acetate and calculated amount of active methylene compound namely, acetyl acetone to obtain the corresponding hydrazono derivative (1). Cyclocondensation reaction of compounds (1) with hydrazine hydrate and phenyl hydrazine in boiling ethanol affording the corresponding pyrazoline-5-one derivatives of 4-aminobenzoic acid (2,3). Then compound (3) was reacted with thionyl chloride to give the corresponding acid chloride derivative(4), followed by conversion into the corresponding acid hydrazide derivative (5) carboxylic acid thiosemicarbazide (11), esters

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Publication Date
Mon Nov 01 2010
Journal Name
Iraqi Journal Of Physics
The Effect of Germanium Content(x) on the Electrical Properties of (Gex S1-x) Thin Films
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Thin films of GexS1-x were fabricated by thermal evaporating under vacuum of 10-5Toor on glass substrate. The effect of increasing of germanium content (x) in sulfide films on the electrical properties like d.c conductivity (σDC), concentration of charge carriers (nH) and the activation energy (Ea) and Hall effect were investigated. The measurements show that (Ea) increases with the increasing of germanium content from 0.1to0.2 while it get to reduces with further addition, while charge carrier density (nH) is found to decrease and increase respectively with germanium content. The results were explained in terms of creating and eliminating of states in the band gap

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Publication Date
Sun Nov 01 2020
Journal Name
Iop Conference Series: Materials Science And Engineering
Dielectric properties and A.C electrical conductivity analysis of (La<sub>2</sub>O<sub>3</sub>)<sub>1-x</sub>(ZnO)<sub>x</sub>
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Summery<p>The A.C conductivity of three samples of lanthanide oxide : zinc oxide (La<sub>2</sub>O<sub>3</sub>)<sub>1-x</sub>(ZnO)<sub>x</sub> pellets with different zinc oxide content which were sintered 1273 K temperatures were studied using LRC meters in the frequency range of 50–10<sup>6</sup> Hz at temperature of 30 °C. The a.c conductivity, was analyzed depending of the universal power law proposed by Jonsher,. The slope of the relation between logarithm of a.c conductivity and angular frequency represent the s value were in the range (0.44-0.77) which found to increase by increasing of zinc oxide content which coincided with the small po</p> ... Show More
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Publication Date
Mon Jan 01 2024
Journal Name
Journal Of The College Of Languages (jcl)
The neology in the Iraqi dialect after the invasion of 2003 and the level of imaginative comprehension: La neología en el dialecto Iraqui tras la invasión de 2003 y el nivel de la comprensión imaginativa
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       The article analyzes the neologisms that arose in the Iraqi dialect after the 2003 US-British invasion and the fall of Saddam Hussein's regime, according to the theory I advocate: "The Basic Outline of Reference," a developed theory of Arab legacy and cognitive theory, which came out in 1987 in America, so we have used the terminology of cognitive grammar. In this theory it is stated that the reference is the interaction between four components: perception, imagination, imaginative comprehension and the linguistic sign or symbolization (the neological word in this article), which are closely related, so that none of them can be lacking, because they constitute a holistic whole that belongs to a deeper level. Let us

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Publication Date
Sat May 30 2026
Journal Name
Iraqi Journal Of Science
Synthesis and Evaluation of 3-(4-bromobenzyl)-2-mercaptoquinazolin-4(3H)-one as a Corrosion Inhibitor for carbon steel CS45  in 1M HCl
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     In this study, a mercapto-quinazolinone derivative, 3-(4-Bromobenzyl)-2-mercaptoquinazolin-4(3H)-one (compound B), was synthesized and assessed as a corrosion inhibitor for carbon steel (CS45) in 1M hydrochloric acid. The synthesis began with anthranilic acid and involved two main steps: first, the formation of a thiocyanate intermediate, followed by its reaction with anthranilic acid to produce compound B. The chemical structure of the synthesized compound was confirmed using FT-IR, 1H-NMR, and 13C-NMR techniques. The corrosion inhibition performance of compound B was evaluated at different concentrations (0.01, 0.05, 0.1, and 0.3 M) and temperatures (293, 303, and 313 K) in acidic media. Potentiodynamic polarization measu

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Publication Date
Mon Jan 01 2024
Journal Name
Aip Conference Proceedings
Synthesis and characterization of (Fe2O3)1-x(MgO)x thin film composites for NH3 gas sensors
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This research is presenting a study of optical and structural properties of (Fe2O3)1-x(MgO)x composites synthesized as thin film that can be used as a gas sensor. Pulsed laser deposition technique was used to prepare thin films of (Fe2O3)1-x(MgO)x. The pattern of X-ray diffraction of the composites powder showed the consistency of iron oxide (α-Fe2O3) hematite phase along with the planes (104) and (110) as preferred planes for crystal growth where the intensities of which varied with MgO content. The crystal size of the thin film material was varied in between (26.8-35.1) nm. The diffraction pattern of the pulsed laser deposited thin films was absent from any diffraction peaks. The maximum transparency obtained of hematite

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Publication Date
Sun Jun 01 2014
Journal Name
Baghdad Science Journal
The Effect of annealing temperature on the optical properties of (Cu2S)100-x( SnS2 )x thin films
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Thin films of (Cu2S)100-x( SnS2 )x at X=[ 30,40, &50)]% with thickness (0.9±0.03)µm , had been prepared by chemical spray pyrolysis method on glass substrates at 573 K. These films were then annealed under low pressure of(10-2) mbar ,373)423&473)K for one hour . This research includes , studying the the optical properties of (Cu2S)100-x-(SnS2)x at X=[ 30,40, &50)]% .Moreover studying the effect of annealing on their optical properties , in order to fabricate films with high stability and transmittance that can be used in solar cells. The transmittance and absorbance spectra had been recorded in the wavelength range (310 - 1100) nm in order to study the optical properties . It was found that these films had direct optical band

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