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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 Jan 31 2022
Journal Name
Iraqi Journal Of Science
Synthesis and Characterization of Several New Copolymers Based on Maleimides Bearing 1, 3, 4-Oxadiazole Moiety

A series of new copolyimides containing pendant 1,3,4-oxadiazole moiety were synthesized via multisteps. In the first step five N-(5-substituted-1,3,4-oxadiazole-2-yl)maleamic acids were prepared via reaction of maleic anhydride with 2-amino-5-substituted-1,3,4-oxadiazoles. The obtained amic acids were dehydrated in the second step affording the corresponding N-(5-substituted-1,3,4-oxadiazole-2-yl) maleimides. In the third step the newly synthesized maleimides were introduced successfully in free radical copolymerization reaction with four vinylic monomers including acrylo nitrile, methacrylonitrile, methyl acrylate and methyl meth acrylate respectively producing twelve new copolymers having different physical properties which may serve

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Publication Date
Wed Jun 24 2020
Journal Name
Systematic Reviews In Pharmacy
Studies on the Photostability of Polystyrene Films with New Metals Complex of 1, 2, 4-triazole-3-thione Derivate

The new complexes including Cu(II), Co(II), Ni(II), Pt(IV), and Pd(II) metals with 4,4'-(((1E,1'E)-1,4-phenylenebis(methaneylylidene))bis(azaneylylidene))bis(5-(4-chlorophenyl)-4H-1,2,4-triazole-3-thione) have been synthesized of utilizing us polystyrene (PS) photostability. The supplement (0,5 w / v%) was for the production of polystyrene ( PS) in the form of tetrahydrofuran (THF). Polystyrene films were exposing irradiation (250 – 380 nm) absorption light intensity of 6.02 x 10-9 ein dm-3 s-1 at room temperature, through the changes that occur to each of viscosity average molecular weight (Mv), main chain scission (S), degree of polymerization (DPn), weight loss %, hydroxyl index (lOH), carbonyl index (ICo) determined the photo stabiliz

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Publication Date
Sun Mar 06 2011
Journal Name
Baghdad Science Journal
Optical Investigations of CdSe1-x Tex Thin Films

The alloys of CdSe1-xTex compound have been prepared from their elements successfully with high purity (99.9999%) which mixed stoichiometry ratio (x=0.0, 0.25, 0.5, 0.75 and 1.0) of (Cd, Se and Te) elements. Films of CdSe1-xTex alloys for different values of composition with thickness(0.5?m) have been prepared by thermal evaporation method at cleaned glass substrates which heated at (473K) under very low pressure (4×10-5mbar) at rate of deposition (3A?/s), after that thin films have been heat treated under low pressure (10-2mbar) at (523K) for two hours. The optical studies revealed that the absorption coefficient (?) is fairly high. It is found that the electronic transitions in the fundamental absorption edge tend to be allowed direct tr

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Publication Date
Sat Dec 30 2023
Journal Name
Iraqi Journal Of Science
Injectivity and chain conditions on y-closed submodules

Let R be a commutative ring with identity and let M be a unital left Rmodule.
Goodearl introduced the following concept :A submodule A of an R –
module M is an y – closed submodule of M if is nonsingular.In this paper we
introduced an y – closed injective modules andchain condition on y – closed
submodules.

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Publication Date
Wed Jan 01 2014
Journal Name
Journal Of The College Of Languages (jcl)
Sólo/Solo y la alternancia de sólo/solamente

El español es una lengua hablada por una ingente comunidad que abarca varios cientos de millones de personas. Son muchas las palabras con distintos significados que se escriben de similar manera. Hablamos, por ejemplo, de dos de ellas: el adjetivo solo y el adverbio sólo.

En este trabajo se plantea un estudio del adverbio sólo, palabra invariable cuya función consiste en (complementar la significación del verbo) y solo es un adjetivo (califica a un sustantivo).¿Cómo diferenciarlas para evitar errores ortográficos? Así, en estos casos (solo/ sólo), la distinción la da la tilde en la primera vocal. Ésta es la

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Publication Date
Tue Nov 01 2016
Journal Name
Research Journal Of Pharmaceutical, Biological And Chemical Sciences
The use of locally prepared Zeolite (Y) for the removal of hydrogen sulfide from Iraqi natural gas

This work was conducted to study the ability of locally prepared Zeolite NaY for the reduction of sulfur compounds from Iraqi natural gas by a continuous mode adsorption unit. Zeolite Y was hydrothermally synthesized using abundant kaolin clay as aluminum precursor. Characterization was made using chemical analysis, XRD and BET surface area. Results of the adsorption experiments showed that zeolite Y is an active adsorbent for removal H2S from natural gas and other gas streams. The effect of temperature was found inversely related to the removal efficiency. Increasing bed height was found to increase the removal efficiency at constant flow rate of natural gas. The adsorption capacity was evaluated and its maximum uptake was 5.345 mg H2S/g z

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Publication Date
Tue Nov 01 2016
Journal Name
Research Journal Of Pharmaceutical, Biological And Chemical Sciences
The use of locally prepared Zeolite (Y) for the removal of hydrogen sulfide from Iraqi natural gas

This work was conducted to study the ability of locally prepared Zeolite NaY for the reduction of sulfur compounds from Iraqi natural gas by a continuous mode adsorption unit. Zeolite Y was hydrothermally synthesized using abundant kaolin clay as aluminum precursor. Characterization was made using chemical analysis, XRD and BET surface area. Results of the adsorption experiments showed that zeolite Y is an active adsorbent for removal H2S from natural gas and other gas streams. The effect of temperature was found inversely related to the removal efficiency. Increasing bed height was found to increase the removal efficiency at constant flow rate of natural gas. The adsorption capacity was evaluated and its maximum uptake was 5.345 mg H2S/g z

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Publication Date
Mon Jan 01 2018
Journal Name
J. Of University Of Anbar For Pure Science
Synthesis, spectral Characterization and studies of Some Divalent Metal Ion Complexes with Ligand of [3-(1H-indol- 3-yl)-2-(3-(4-methoxybenzoyl)thiouereido)propanoic acid] (MTP

In this work, prepared new ligand[3- (1H-indol-3-yl) -2- (3-(4- methoxybenzoyl)thiouereido) propanoic acid](MTP) has been synthesized by reaction of 4-Methoxybenzoyl isothiocyanate with tryptophane(1:1), The ligand was characterized by elemental microanalysis C.H.N.S, FT-IR, UV-Vis and 1H,13C NMR spectra, Some transition metals complexes of this ligand were prepared and characterized by FT-IR, UV-Vis spectra, conductivity measurements, magnetic susceptibility and atomic absorption, From obtained results the molecular formula of all prepared complexes were [M(MTP)2] (M+2 =Mn, Co, Ni, Cu, Zn, Cd and Hg), the proposed geometrical structure for all complexes were tetrahedral except copper complex has a square planer geometry around metallic ion

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Publication Date
Wed Feb 01 2023
Journal Name
Indonesian Journal Of Electrical Engineering And Computer Science
Diagnose COVID-19 by using hybrid CNN-RNN for Chest X-ray

<p>Combating the COVID-19 epidemic has emerged as one of the most promising healthcare the world's challenges have ever seen. COVID-19 cases must be accurately and quickly diagnosed to receive proper medical treatment and limit the pandemic. Imaging approaches for chest radiography have been proven in order to be more successful in detecting coronavirus than the (RT-PCR) approach. Transfer knowledge is more suited to categorize patterns in medical pictures since the number of available medical images is limited. This paper illustrates a convolutional neural network (CNN) and recurrent neural network (RNN) hybrid architecture for the diagnosis of COVID-19 from chest X-rays. The deep transfer methods used were VGG19, DenseNet121

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Publication Date
Fri Nov 24 2023
Journal Name
Iraqi Journal Of Science
Synthesis, Characterization and Evaluation Antimicrobial Activity of Some New substituted 2-Mercapto-3-Phenyl-4(3H)-Quinazolinone

This work includes synthesis of new heterocyclic derivatives of 2-mercpto-3-phenyl-4(3H)-quinazolinone bearing 1, 2, 4-triazole and acetylenic amines moieties by using two ways. The first way includes reaction of 2-mercpto-3-phenyl-4(3H)-quinazolinone (1) with ethyl-2-bromopropanoate in methanol as solvent to gives ester derivative (2). Then, compound (2) was converted to (hydrazide, simecarbazid, phenylsimecarbazide and thiosimecarbazide) derivatives through its reactions with (hydrazine hydrate, simecarbazid, phenylsimecarbazide and thiosimecarbazide) respectively to give compounds (3-6). Finally, the cyclization of compounds (4-6) in alkaline media (4N-NaOH) gave the corresponding substituted triazole derivatives (7-9) respectively. W

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