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bsj-8399
Sum of Squares of ‘n’ Consecutive Carol Numbers
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The discussion in this paper gives several theorems and lemmas on the Sums of Squares of  consecutive Carol Numbers. These theorems are proved by using the definition of carol numbers and mathematical induction method. Here the matrix form and the recursive form of sum of squares of  consecutive Carol numbers is also given. The properties of the Carol numbers are also derived.

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Publication Date
Fri Dec 22 2023
Journal Name
مجلة دراسات في التاريخ والآثار
رحلة الإله (رع) في العالم السفلي وفق مناظر ونصوص كتاب البوابات (مدات آن سباو - (md3t n sb3w (الساعة الأولى إلى الساعة الثالثة انموذجاً)
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        أن المفهوم العالم السفلي القديم في العقيدة المصرية القديمة نابع من الفكر المصري القديم منذ زمن الدولة القديمة , ويتطرق هذا البحث محتوى مناظر ونصوص بوابات الساعات الثلاث الأولى من كتاب (البوابات) والذي ظهر في نهاية الدولة الحديثة (1580-1314 ق.م) وبالتحديد خلال فترة حكم الملك (حور محب) وتعتبر مقبرته من معالم وادي الملوك بالعاصمة طيبة آنذاك (الأقصر) حالياً , وكتاب البوابات يعد من الأدب الجنائزي الديني وتنا

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Publication Date
Thu Dec 01 2016
Journal Name
Ibn Al-haitham Jour. For Pure & Appl. Sci.
Co(II) and Cd(II) Mixed-Ligands Complexes Prepared From N'-(4-methylsulfanyl-benzoyl)-hydrazine Carbodithioic Acid Methyl Ester; Synthesis and Physico-Chemical Characterisation
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This work is based on the synthesis of Cobalt(II) and Cadmium(II) mixed-ligands compounds obtained from the reaction of N'-(4-methylsulfanyl-benzoyl)-hydrazine carbodithioic acid methyl ester as a ligand and using ethylendiamine (en), 2,2'-bipyridine (bipy) or 1,10-phenanthroline (phen) as a co-ligand. The synthesis of ligand (HL) was based on multi-steps synthetic procedure. The reaction of 4-methylsulfanyl-benzoyl chloride with hydrazine gave 4-methylsulfanyl-benzoic acid hydrazide. This compound was reacted with carbon disulfide and potassium hydroxide in methanol to yield N'-(4-methylsulfanylbenzoyl)-hydrazine potassium thiocarbamate, which upon reaction with methyl iodide resulted in the formation of the ligand. A range of physico-chem

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Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Medicinal And Chemical Sciences
Some Metal Ions Complexes With Azo [4-((8-hydroxyquinolin-7- yl)-N(4-methylisoxazol-3-yl)benzenesulfonamide] Synthesis, Characterization, Thermal Study and Antioxidant Activity
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A new azo (LH) ligand was prepared by coupling reaction between, diazonium salt of Sulfamethoxazole, and 8-hydroxyquinoline in a process called diazotization process resulting in azo-ligand [4-((8-hydroxyquinolin-7-yl)- N(4-methylisoxazol-3-yl) benzene sulfonamide]. The azo ligand was identified by using spectroscopic techniques to detect and characterize the formation of ligand and complexes of Ni2+, Pt4+, Pd2+, and Rh3+ metal ions, and to determine the chelating behavior of ligand and also its bind position. All complexes have a [1:1] [M-ligand] ratio and all complexes are nonelectrolytes and most of the complexes have octahedral geometry, while Pd2+complex gave square planer geometry and Ni2+ complex indicate tetrahedral geometry. Therma

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Publication Date
Sat Jan 01 2022
Journal Name
Egyptian Journal Of Chemistry
Structural, Characterization and Biological Activity of New Ligand N-(Pyrimidin-2-Yl Carbamothioyl) Acetamide and Its Complexes With (VO(II), Mn (II), Cu (II), Zn (II), Cd (II) and Hg (II)
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New ligand of N-(pyrimidin-2-yl carbamothioyl)acetamide was synthesized and its complexes with (VO(II), Mn (II), Cu (II), Zn (II), Cd (II) and Hg (II) are formed with confirmation of their structures on the bases of spectroscopic analyses. Antimicrobial activity of new complexes are studied against Gram positive S. aureus and Gram negative E. coli, Proteus, Pseudomonas. The octahedral geometrical structures are proved depending on the outcomes from the preceding procedures. Keywords: pyrimidin-2-amine, acetyl isothiocyanate, complexes, Antimicrobial activity

Publication Date
Tue Jun 07 2022
Journal Name
Egyptian Journal Of Chemistry
Structural, characterization and biological activity of new ligand N-(pyrimidin-2-yl carbamothioyl) acetamide and its complexes with (VO(II), Mn (II), Cu (II), Zn (II), Cd (II) and Hg (II)
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New ligand of N-(pyrimidin-2-yl carbamothioyl)acetamide was synthesized and its complexes with (VO(II), Mn (II), Cu (II), Zn (II), Cd (II) and Hg (II) are formed with confirmation of their structures on the bases of spectroscopic analyses. Antimicrobial activity of new complexes are studied against Gram positive S. aureus and Gram negative E. coli, Proteus, Pseudomonas. The octahedral geometrical structures are proved depending on the outcomes from the preceding procedures

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Publication Date
Tue Jan 20 2026
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis, Characterization and Dyeing Performance of Co(II), Ni(II), Cu(II) and Zn(II) Complexes with (E)-4-Chloro-N-(2-(Dimethylamino)Ethyl)-5-((8-Hydroxyquinolin-5-yl)Diazenyl)-2-Methoxybenzamide
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The (E)-4-chloro-N-(2-(dimethylamino)ethyl)-5-((8-hydroxy quinolin-5-yl)diazenyl)-2-methoxybenzamide azo ligand (L) has been synthesized through the reaction of diazonium salt for 5-amino-4-chloro-N-(2-(dimethylamino) ethyl)-2-methoxybenzamide with 8-hydroxyquinoline and identified azo ligand (L) using spectroscopic studies (FTIR, UV-Vis, 1H and 13CNMR, mass), and micro-elemental analysis (C.H.N). Metal chelates of Co(II), Ni(II), Cu(II), as well as Zn(II) have been completed as well as characterized using mass spectra, flame atomic absorption, elemental analysis (C.H.N), infrared, UV-Vis spectroscopy, as well as conductivity, magnetic measurements. The metal-to-ligand ratio in all complexes, as determined by analytical data, was 1:2 and ex

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Publication Date
Sat Dec 26 2020
Journal Name
International Journal Of Pharmaceutical Research
Complexes of Co(II), Cu(II), Ni(II), Pt(II) And Pd(II) with N 3 O-Chelating Ligand Incorporating Azo and Schiff Base Moieties: Synthesis, Spectroscopic, Thermal Decomposition, Theoretical Studies, and thermodynamic parameters
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Publication Date
Thu Apr 20 2023
Journal Name
Baghdad Science Journal
Ni2+, Pt4+, Pd2+, and Mn2+ Metal ions Complexes with Azo Derived from Quinolin-2-ol and 3-amino-N-(5-methylisoxazol-3-yl) Benzenesulfonamide: Synthesis, Characterization, Thermal Study ,and Antioxidant Activity
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  Diazotization reaction between quinolin-2-ol and (2-chloro-1-(4-(N-(5-methylisoxazol-3-yl)sulfamoyl)phenyl)-2l4-diazyn-1-ium was carried out resulting in ligand-HL, this in turn reacted with the next metal ions (Ni2+, Pt4+, Pd2+, and Mn2+)  forming stable complexes with unique geometries such as (tetrahedral for both Ni2+ and Mn2+, octahedral for Pt4+ and square planer for Pd2+ ). The creation of such complexes was detected by employing spectroscopic means involving ultraviolet-visible which proved the obtained geometries, fourier transfer proved the formation of azo group and the coordination with metal ion through it. Pyrolysis (TGA & DSC) studies proved the coordination of water residues with metal ions inside the coordin

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Publication Date
Sat Oct 28 2023
Journal Name
Baghdad Science Journal
COMPARATIVE STUDY BETWEEN A NOVEL DETERMINISTIC TEST FOR MERSENNE PRIMES AND THE WELL-KNOWN PRIMALITY TESTS
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In this article, a new deterministic primality test for Mersenne primes is presented. It also includes a comparative study between well-known primality tests in order to identify the best test. Moreover, new modifications are suggested in order to eliminate pseudoprimes. The study covers random primes such as Mersenne primes and Proth primes. Finally, these tests are arranged from the best to the worst according to strength, speed, and effectiveness based on the results obtained through programs prepared and operated by Mathematica, and the results are presented through tables and graphs.

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Publication Date
Wed Feb 01 2023
Journal Name
Baghdad Science Journal
Study the Nuclear Structure of Some Even-Even Ca Isotopes Using the Microscopic Theory
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The root-mean square-radius of proton, neutron, matter and charge radii, energy level, inelastic longitudinal form factors, reduced transition probability from the ground state to first-excited 2+ state of even-even isotopes, quadrupole moments, quadrupole deformation parameter, and the occupation numbers for some calcium isotopes for A=42,44,46,48,50 are computed using fp-model space and FPBM interaction. 40Ca nucleus is regarded as the inert core for all isotopes under this model space with valence nucleons are moving throughout the fp-shell model space involving 1f7/2, 2p3/2, 1f5/2, and 2p1/2 orbits. Model space is used to present calculations using FPBM intera

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