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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 May 27 2025
Journal Name
Bulletin Of The Chemical Society Of Ethiopia
Preparation, kinetics, and thermodynamic investigation of Janus green dye removal from aqueous solutions using MnO2 nanoparticles as an adsorbent
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In this study, manganese dioxide (MnO₂) nanoparticles (NPs) were synthesized via the hydrothermal method and utilized for the adsorption of Janus green dye (JG) from aqueous solutions. The effects of MnO₂ NPs on kinetics and diffusion were also analyzed. The synthesized NPs were characterized by scanning electron microscopy (SEM), X-ray diffraction (XRD), energy-dispersive X-ray analysis (EDX), and Fourier-transform infrared spectroscopy (FT-IR), with XRD confirming the nanoparticle size of 6.23 nm. The adsorption kinetics were investigated using three models: pseudo-first-order (PFO), pseudo-second-order (PSO), and the intraparticle diffusion model. The PSO model provided the best fit (R² = 0.999), indicating that the adsorpti

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Publication Date
Sat Jun 06 2015
Journal Name
Advances In Life Science And Technology
Cytotoxic Effect of Aqueous Extract of Anastatica hierochuntica L. on AMN-3 Cell Line in vitro
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Anastatica hierochuntica L. is distributed throughout Arabain Peninsula, and elsewhere it is locally called "Kuffe Maryam" .All parts of the plant are used in folk medicine. This study amid to investigate the effect of aqueous extract of anastatica hierochunctica L. on the cancer cell lines AMN-3. Anti cancer activity of aqueous extract of anastatica hierochunctica L. showed anticancer activity against AMN-3 cell line for twelve concentrations (0.04, 0.09, 0.195, 0.39, 0.78, 1.56, 3.125, 6.25, 12.5, 25, 50, 100) mg/mL in comparison with negative control.

Publication Date
Sat Dec 01 2018
Journal Name
Journal Of Pharmaceutical Sciences And Research
Pryparation, characterization and biological activity of new derivatives of 2-biphenyl-3-aminomethylimidazo(1,2-a)pyrimidine
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New Fourteen compounds were synthesized in four steps. The first step included synthesis of 2-biphenyl fused ring of imidazo(1,2- a)pyrimidine from the reaction of 2-aminopyrimidine and biphenyl phenacyl bromide . The second step was introduced aldehyde group from the reaction of 2-biphenyl fused rings of imidazo(1,2-a)pyrimidine with POCl3 in presence of DMF and CHCl3. 3-Carbaladehyde derivatives of fused imidazo/pyrimidine was reacted with different aromatic amines to afford new Schiff bases. These new 3- imines derivatives was reduced by using sodiumborohydride to yield another new 3-aminomethyl-2-biphenyl imidazo (1,2-a)pyrimidine derivatives in moderate yield .Some new prepared compounds were identified by melting point, FT- IR , 13C-

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Publication Date
Sat May 02 2015
Journal Name
Advances In Life Science And Technology
Cytotoxic Effect of Aqueous Extract of Anastatica hierochuntica L. on AMN-3 Cell Line in vitro
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Anastatica hierochuntica L. is distributed throughout Arabain Peninsula, and elsewhere it is locally called "Kuffe Maryam" .All parts of the plant are used in folk medicine. This study amid to investigate the effect of aqueous extract of anastatica hierochunctica L. on the cancer cell lines AMN-3. Anti cancer activity of aqueous extract of anastatica hierochunctica L. showed anticancer activity against AMN-3 cell line for twelve concentrations (0.04, 0.09, 0.195, 0.39, 0.78, 1.56, 3.125, 6.25, 12.5, 25, 50, 100) mg/mL in comparison with negative control.

Publication Date
Sun Jun 30 2024
Journal Name
مجلة التراث العلمي العربي
التنبيه على ما في تحقيق محمد علي الصابوني لـ ( فتح الرحمن بكشف ما يلتبس في القرآن ) من تغيير وسقط ووهم وتحريف
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(فتح الرحمن بكشف ما يلتبس في القرآن ) لزكريا الأنصاري (ت 926 هـ ) مصنَّف مهم تبارت فيه علوم العربية لفكّ ما يثيره ظاهر آيات قرآنية من لبس لدى المتلقي ، فكان للبلاغة السطوة في ذلك ، ولأهميته طبع طبعات كثيرة ، خمس منها بتحقيق محمد علي الصابوني ، وهو التحقيق المهمين الشائع ، غيرأنه لم يستوفِ الأسلوب العلمي في اخراج النصوص، إذ بدت فيه مزالق كثيرة بينَ تغيير وسقط ووهم وتحريف وتصحيف ودمج مما استنهض فكرة هذا البحث ، للتنب

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Publication Date
Thu Oct 01 2009
Journal Name
Iraqi Journal Of Physics
تأثیر التطعیم بأیونات النیودیمیوم الفعالة Nd+3 على طیف الفلورة لزجاج التلیریت TeO2
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In the present work, the fabrication techniques of type of Nd +3-glass laser active
media : namely, Neodymium- Tellurite glass, where the glass system(TeO2(1-x) - BaOZnO-
Nd2O3x) for values of (X=1,1.5,2,2.5,3,3.5 wt%) was used.
Measurements have been taken for the signal of fluorescence spectrum of Nd+3- glass
samples. The fluorescence spectrum, for one of the samples, has been taken, after the
sequences of polishing for the out surface.
The results give signal of fluorescence spectrum for the samples. Intensity of the peak of
the signal increases with Nd +3 concentration. The fluorescence at (l=1.06 mm) for one
of the samples has been detected and the fluorescence line width was (100 cm-1). The
cross section

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Publication Date
Thu Oct 26 2023
Journal Name
International Journal Of Environment And Waste Management
Novel Poly (3-hydroxybutyrate) production using Bacillus subtilis NG220 and watermelon derived substrates
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Poly (3-hydroxybutyrate) (PHB) is a typical microbial bio-polyester reserve material; known as “green plastics”, which produced under controlled conditions as intracellular products of the secondary metabolism of diverse gram-negative/positive bacteria and various extremophiles archaea. Although PHB has properties allowing being very attractive, it is too expensive to compete with conventional and non-biodegradable plastics. Feasibility of this research to evaluate the suitability of using a watermelon-derived media as an alternative substrate for PHB synthesis under stress conditions was examined. Results, include the most nutrients extraction, indicated that the watermelon seeds contain a high content of nutrients makes them a promisi

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Publication Date
Sun Dec 01 2019
Journal Name
Saudi Medical Journal
The diagnostic power of circulating micro ribonucleic acid 34a in combination with cancer antigen 15-3 as a potential biomarker of breast cancer
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Publication Date
Mon Sep 01 2025
Journal Name
Chinese Journal Of Analytical Chemistry
Synthesis, characterization, and evaluation of the antioxidant and anticancer activities of metal ion complexes with a novel7-(3-hydroxyphenylazo)-quinolin-8-ol ligand
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Publication Date
Wed Jun 22 2022
Journal Name
Journal Of Oral &dental Research
The Antibacterial Effect of Tea Tree Oil, Clove Oil and 3% Sodium Hypochlorite against Enterococcus faecalis in Endodontics: An in vitro Study
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Irrigation has significant role in endodontic treatment, many types of antimicrobial irrigation solutions have been used, but due to the ineffectiveness, safety concerns and side effects of this irrigation, the herbal alternatives for endodontic irrigants might be beneficial. Objectives This study compared the in vitro effectiveness of tea tree oil and clove oil as possible irrigants in endodontics against Enterococcus faecalis in comparison with 3% Sodium hypochlorite. Materials and Methods E. faecalis was isolated from patients in need for endodontic treatment; VITEK was employed for E. faecalis isolate conformation. Muller Hinton agar was prepared with 100μl of freshly prepared suspension of E.faecalis. Wells of 6mm diameter and 4mm dep

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