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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
Wed Aug 31 2022
Journal Name
Iraqi Journal Of Science
Synthesis and Characterization of Some Metals Complexes with New Acidicazo Ligand 4-[(2-Amino-4-Phenylazo)-Methyl]-Cyclohexane Carboxylic Acid

      4-[(2-Amino-4-phenylazo)-methyl]-cyclo hexane carboxylic acid, a new Azo (LH2) ligand, was synthesized by reaction of the diazonium salt of trans-4-(amino-methyl) cyclo hexane carboxylic acid with 3-amino phenol. The azo ligand was characterized by micro elemental analysis (C.H.N.O.) and TGA as well as spectroscopic techniques (UV-Vis, FTIR, 1H-NMR, and LC-Mass). Atomic absorption, elemental analysis, infrared, LC-Mass, TGA, and UV-Vis spectral methods, as well as conductivity and magnetic susceptibility, were used to characterize the complexes of Ni (II), Pd (II), and Pt (IV). The following general formula has been given for the produced compounds based on the results obtained, which are as followi

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Publication Date
Thu Dec 31 2015
Journal Name
مجلة الترجمة واللسانيات
Publication Date
Wed Jan 01 2014
Journal Name
Journal Of The College Of Languages (jcl)
La Visión Filosófica en las Célebres Obras Literarias y Dramáticas de Unamuno

Desde la Salamanca de doradas piedras que tantas veces cantara, don Miguel de Unamuno dio a la literatura y al pensamiento españoles unas obras que, a pesar de muchos pesares, perdura viva, como viva fue su agónica existencia.  

   El bilbaíno Miguel de Unamuno (1864-1936) es autor de al menos, doce obras teatrales. Su costumbre de mezclar géneros literarios, sin distinguir claramente el drama de la novela dialogada, le llevó a preferir el teatro leído. De ahí que sus estrenos fuesen, frecuentemente, muy posteriores a las ediciones impresas.

Abstract:

   The Bilbao Miguel de Unamuno (1864-1936) is the author of at least twelve plays. His habit of mixing genres,

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Publication Date
Sun Jun 01 2008
Journal Name
Journal Of The College Of Languages (jcl)
Valle - Inclán Entre la Magia Filosófica de la Vida y la Sofisticación

Cuáles son los escritores que aun triunfan en España? ¿A cuáles tendencias o escuelas representan? ¿Todavía mantiene prestigio fecundo en el estudio literario? A todas tales preguntas queríamos ofrecer nuestro planteamiento investigativo en la página de las más importantes de la literatura española contemporánea, pero según nuestro punto de ver a las cosas.
La panorámica de la literatura española a partir del año 1860 no ofrece un tema o un estilo mutuamente románticos, aun cuando en este romanticismo decaído ya se advierten muy acusados los tones que se decoloran y los dibujos que se desvanecen. De esta realidad surge la necesidad del toque tan importante como el de Ramón del Valle Inclán cuya obra se encuentra nue

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Publication Date
Wed Jan 01 2014
Journal Name
Journal Of The College Of Languages (jcl)
DISPONIBILIDAD LÉXICA Y El análisis del manual (español en directo A1, A2)

En el contexto de la disponibilidad léxica, Esta investigación surge de la necesidad de enseñar, a los estudiantes extranjeros de comunicación que cursan sus estudios en nuestra universidad, el español especializado que realmente necesitan. La metodología disponibilidad léxica ofrece una oportunidad en cuanto a la elaboración de los manuales.

Abstract

This article presents the lexical availability as a practical tool, this research can be exploited didactically in the teaching of vocabulary as a foreign languages LE.

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Publication Date
Wed Nov 20 2024
Journal Name
Journal Of The College Of Languages
Particularidades sintácticas, semánticas y ortográficas del castellano antiguo "estudio analítico"

All alive languages had passed linguistic changes that made the mother language not recognized by its present speakers. Some of these changes are: syntactical, semantical, orthographical, phonetical and lexical.During the period of changes which extends over centuries, there had been a lof of written texts, such as literately texts, biographies, personal memories and manuscripts which are conserved until now as a literatel, historic and linguistic testimonies.Spanish is one of these languages that had been changed, so, the poem of the Cid (1145) was written in a Spanish which differs from the Spanish in which Cervantes wrote the Don Quixote in (1605/1615) and the Spanish of both of them differs from the Spanish of Francisco Ayala and Azorin

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Publication Date
Thu Jun 30 2011
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
CRACKING ACTIVITY OF PREPARED Y-ZEOLITE CATALYST USING CUMENE ON FLUIDIZED BED REACTOR

The catalytic activity of faujasite type NaY catalysts prepared from local clay (kaolin) with different Si/Al ratio was studied using cumene cracking as a model for catalytic cracking process in the temperature range of 450-525° C, weight hourly space velocity (WHSV) of 5-20 h1, particle size ≤75μm and atmospheric pressure. The catalytic activity was investigated using experimental laboratory plant scale of fluidized bed reactor.
It was found that the cumene conversion increases with increasing temperature and decreasing WHSV. At 525° C and WHSV 5 h-1, the conversion was 42.36 and 35.43 mol% for catalyst with 3.54 Si/Al ratio and Catalyst with 5.75 Si/Al ratio, respectively, while at 450° C and at the same WHSV, the conversion w

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Publication Date
Tue Nov 01 2016
Journal Name
Renewable Energy
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Publication Date
Sat Dec 30 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Studying the Connection Between Partical Size and Lattice Distortions Through X - Ray Diffraction Line Profile Analysis for CaO Powder

The integral  breadth  method  has been utilized to analyse line

proIiles broadening and lattice strain of CaO at different temperatures

The effect of tcmperattre on crystallite size and strain has also been investigated  . The crystall i tes are found to be highly anisotropic even at high temperatures

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Publication Date
Sun Dec 04 2016
Journal Name
Baghdad Science Journal
Synthesis of new Polyimides Derived from 4- minoantipyrine

In the present study, new five polymers of acryloyl chloride have been synthesized by reaction 4-aminoantipyrine with many substituted acid chloride (A-E). Then condensation of polyacryloyl chloride with the product in one step (A-E), in a suitable solvent in the presence amount of (Et3N) to obtain new polyimides(A1-E5). The prepared compounds were characterized by UV. FT-IR, 1H-NMR and 13C-NMR spectroscopy and measuring of other physical properties such as softening point, melting point and solublities.

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