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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
Tue Apr 18 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Remedy Efficiency through Paclitaxel on Rat (Rattus norvegicus) Brain Injury and Risk Premium of N- Diethyl nitrosamine (DEN) Injection
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Abstract

The current study deals with the effect of N-Diethylnitrosamine (DEN) induced traumatic brain injury on male albino rats, as well as the outcome results of treatment with paclitaxel nanoparticles for a period of 8 weeks with two-week intervals is the concern of the present study. Mean body weight, as well as brain weight, was considered as the main parameters whereas a detailed immunohistochemical study on rat brain sections was performed. Astrocytic biomarkers for the diagnosis of astrocytes by fibrillary glial acidic protein (GFAP). Neuronal GFAP staining used for various broke sections were forwarded. Comparison and Contrast of all these parameters in all steps of the experiment had been discussed. The

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Publication Date
Thu Feb 23 2023
Journal Name
Chalcogenide Letters
Studying the effect of copper on the p-ZnTe/n-AgCuInSe2/p-Si for thin films solar cell applications
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A thin film of AgInSe2 and Ag1-xCuxInSe2 as well as n-Ag1-xCuxInSe2 /p-Si heterojunction with different Cu ratios (0, 0.1, 0.2) has been successfully fabricated by thermal evaporation method as absorbent layer with thickness about 700 nm and ZnTe as window layer with thickness about 100 nm. We made a multi-layer of p-ZnTe/n-AgCuInSe2/p-Si structures, In the present work, the conversion efficiency (η) increased when added the Cu and when used p-ZnTe as a window layer (WL) the bandgap energy of the direct transition decreases from 1.75 eV (Cu=0.0) to 1.48 eV (Cu=0.2 nm) and the bandgap energy for ZnTe=2.35 eV. The measurements of the electrical properties for prepared films showed that the D.C electrical conductivity (σd.c) increase

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Publication Date
Sun Jan 01 2012
Journal Name
The First Scientific Conference The Collage Of Education For Pure Sciences 2012
Synthesis, Spectroscopic and Biological Studies of some metal ions complexes with 2-hydroxy-N-pyridin-2-yl methyl-acetamide
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The ligand 2-Hydroxy-N-pyridin-2-ylmethyl-acetamide(L) has been prepared from reaction of 2-(aminomethyl)pyridin with chloroacetic acid (1:1).It has been characterized by elemental analysis (C,H,N) ,'H, 13 C-NMR, IR and electronic spectra. The complexes of divalent (Co,Ni,Cu,Zn,Cd and Hg) ions and trivalent(Cr) ion have been synthesized and characterized by IR, electronic spectra, molar conductivity, atomic absorption and molar ratio (Ni 2+) complex. The analytical studies for the complexes show; octahedral for (Cr 3+),square planar for (Cu 2+) and (Co,Ni Zn, Cd and Hg) tetrahedral geometries. The study of biological activity of the ligand (L) and its complexes (Co,Ni,Cu,Cd,Hg) in two deferent concentration (1and5) mg/ml showed various acti

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Publication Date
Wed Apr 12 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis and Characterization of Novel 1,3-Oxazepines Derived from Diamic Acid : N,N‾-Bis-(4-methyl phenyl ) pyromellitamic Diacid
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    The symmetrical N,N‾-Bis-(4-methyl phenyl) pyromellitamic diacid  (I) was synthesized from the reaction of toludine with pyromellitic dianhydride in dry acetone. Esterification of amic acid (I) with dimethyl sulphate in basic medium using acetone as a solvent give symmetrical N,N‾-bis-( 4- methyl phenyl ) pyromellitam diacetate (II).  The condensation of new ester with hydrazine hydrate in ethanol  leads to the formation symmetrical N,N‾-bis- (4-methyl phenyl) pyromellitamic hydrazide (III). New symmetrical 1,3-oxazepine derivatives (V)a-e  can be synthesized  from the reaction of the new synthesized Schiff bases (III)a-e (which are synthesized from the reaction new hydrazide

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Publication Date
Sun May 28 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
The Maximum Complete (k,n)-Arcs in the Projective Plane PG(2,4) By Geometric Method
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A (k,n)-arc A in a finite projective plane PG(2,q) over Galois field GF(q), q=pⁿ for same prime number p and some integer n≥2, is a set of k points, no n+1 of which are collinear.  A (k,n)-arc is complete if it is not contained in a(k+1,n)-arc.  In this paper, the maximum complete (k,n)-arcs, n=2,3 in PG(2,4) can be constructed from the equation of the conic.

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Publication Date
Thu Jan 01 2015
Journal Name
Ibn Al-haitham J. For Pure & Appl. Sci.
Synthesis and Characterization of Some Metal Complexes of [N-(1,5-dimethyl-3-oxo-2-phenyl-2,3-dihydro-1H-pyrazol- 4-ylcarbamothioyl) acetamide]
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A new ligand [N- (1,5- dimethyl -3- oxo- 2 – phenyl - 2 ,3 – dihydro -1H- pyrazol -4- ylcarbamothioyl) acetamide] (AAD) was synthesized by reaction of acetyl isothiocyanate with 4-aminoantipyrine, The ligand was characterized by micro elemental analysis C.H.N.S., FT-IR ,UV-Vis and 1H-13CNMR spectra, some transition metals complex of this ligand were prepared and characterized by FT-IR, UV-Vis spectra, conductivity measurements, magnetic susceptibility and atomic absorption. From the obtained results the molecular formula of all prepared complexes were [M(AAD)2(H2O)2]Cl2 (M+2 = Mn, Co, Ni, Cu, Zn, Cd and Hg),the proposed geometrical structure for all complexes were octahedral.

Publication Date
Mon May 08 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Calculation the Cross Sections of 10B(n,p)10Be Reaction by Using the Reciprocity Theory for the First Excited State
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  In this study light elements 10B , 10Be for 10B(n,p)10Be reaction as well as proton energy from 0.987 MeV to 2.028 MeV with threshold energy (1.04MeV) are used according to the available data of reaction cross sections. The more recent cross sections data of 10Be(p,n)10B reaction is reproduced in fin steps in the specified energy range , as well as cross section (p,n) values were derived from the published data of (n,p) as a function of energy in the same fine energy steps by using the reciprocity theory of principle inverse reaction . This calculation involves only the first excited state of  10B , 10Be in the reactions 10Be(p,n)10B and  10B(n,p)10Be. 

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Publication Date
Thu May 02 2013
Journal Name
Al-mustansiriyah
Synthesis, Spectroscopic and Biological Studies of a New some Complexes with N-Pyridine-2-Y1 methyl-benzene-1, 2-diamine.
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Publication Date
Fri Mar 16 2012
Journal Name
Iraqi National Journal Of Chemistry
Spectroscopic and Biological activity studies of azo ligand type (N,O)and its complexes with CrIII, MnII and FeII ions
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Azo derivative ligand[H3L] have been synthesized by the reaction of diazonium salt of p-amino benzoic acid with orcinol in(1:1)mole ratio. The bidente ligand was reacted with the metal ions MnII,FeIIandCrIIIin(2:1)mole ratio via reflux in ethanol using Et3N as a base to give complexes of the general formula: [ M(H2L)2(H2O)x]Cly The synthesized compounds were characterized by spectroscopic methods[ I.R , UV-Vis, A.A and H1 NMR]along with melting point, chloride content and conductivity measurements. The complexes were screend for their in vitro antibacterial activity against one strain of staphylococcus as Gram(+) positive and one strain of pseudomonas as Gram(-) Negative, using the agar diffusion technique.

Publication Date
Tue Oct 30 2018
Journal Name
Acs Omega
Catalytic Hydrogenation of <i>p</i>-Chloronitrobenzene to <i>p</i>-Chloroaniline Mediated by γ-Mo<sub>2</sub>N
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Promoting the production of industrially important aromatic chloroamines over transition-metal nitrides catalysts has emerged as a prominent theme in catalysis. This contribution provides an insight into the reduction mechanism of p-chloronitrobenzene (p-CNB) to p-chloroaniline (p-CAN) over the γ-Mo2N(111) surface by means of density functional theory calculations. The adsorption energies of various molecularly adsorbed modes of p-CNB were computed. Our findings display that, p-CNB prefers to be adsorbed over two distinct adsorption sites, namely, Mo-hollow face-centered cubic (fcc) and N-hollow hexagonal close-packed (hcp) sites with adsorption energies of −32.1 and −38.5 kcal/mol, respectively. We establish that the activation of nit

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