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Investigating Particular Representations for Matrix Lie Groups SO(3) and SL(2,₵)

A complexified adjoint representations of the complexification Lie algebras associated with the special orthogonal group SO(3) and special linear group SL(2,₵)  have been obtained. A new representation of their tensor product is naturally arisen and computed in details.

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Publication Date
Wed Dec 22 2021
Journal Name
Mathematical Modelling Of Engineering Problems
Forward Kinematic and Jacobian Matrix for the Prosthetic Human Finger Actuated by Links

The most important function of a prosthetic hand is their ability to perform tasks in a manner similar to a natural hand, so it is necessary to perform kinematic analysis to determine the performance and the ability of the prosthetic human finger design to work normally and smoothly when it's drive by two sets of links that embedded in its structure and pulled by a servomotor, so the Denvit-Hartenberg method was used to analyse the forward kinematics for the prosthetic finger joints to deduction the trajectory of the fingertip and the velocity of the joints was computed by using the Jacobian matrix. The prosthetic finger was modelled by the Solidwork - 2018 program and the results of kinematics were verified using MATLAB. The analys

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Publication Date
Mon Jul 01 2019
Journal Name
Journal Of Educational And Psychological Researches
The Impact of Strategy 3-2-1 in acquiring Concepts of Sociology of fourth grade students: The Impact of Strategy 3-2-1 in acquiring Concepts of Sociology of fourth grade students

 

Abstract

The current research aims to identify the impact of triangular bridging strategy in the acquisition of sociology of fourth-stage students. To achieve the research objective, the following null hypotheses were adopted: there are no statistically significant differences at a significance level (0, 05) between the average grades of the experimental group students who studied the triangular bridging strategy in acquiring concepts of sociology and average grades of the control group. The researcher has selected the fourth-stage students from Alexandronah School for girls that s related to the Directorate General of Baghdad the sample consisted of (87) students at litera

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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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Publication Date
Sat Jan 30 2021
Journal Name
Iraqi Journal Of Science
A4-Graph of Finite Simple Groups

 

Let G be a finite group and X be a conjugacy class of order 3 in G. In this paper, we introduce a new type of graphs, namely A4-graph of  G, as a simple graph denoted by A4(G,X) which has X as a vertex set. Two vertices,  x and y, are adjacent if and only if  x≠y and  x y-1=y x-1. General properties  of the A4-graph as well as the structure of A4(G,X) when G@ 3D4(2) will be studied.

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Publication Date
Fri Dec 15 2023
Journal Name
Al-academy
Representations of the Metaverse in the Works of Potter Jason Walker

The current research studies (representations of metaphysics in the works of potter Jason Walker) a concept that refers to To a large extent, by conveying a sense of reality to the recipient by conveying ideas, contents, and connotations. A variety of center hit, dispersion, and rejection of everything that prevails, so our position on the closed text has shifted To the open text, through the role played by cross-pollination in the works of the potter (Jason Walker), which established a clear hypothetical vision of the image represented in the construction of the ceramic work and the thought that was embodied in that image represented by the nature of its unrealistic formations for those ceramic artworks. It is thus considered a logical

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Publication Date
Sun Dec 01 2019
Journal Name
Al-nahrain Journal Of Science
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Publication Date
Mon Jun 05 2023
Journal Name
Journal Of Engineering
Exact Stiffness Matrix for Nonprismatic Beams with Parabolic Varying Depth

In this paper, an exact stiffness matrix and fixed-end load vector for nonprismatic beams having parabolic varying depth are derived. The principle of strain energy is used in the derivation of the stiffness matrix.
The effect of both shear deformation and the coupling between axial force and the bending moment are considered in the derivation of stiffness matrix. The fixed-end load vector for elements under uniformly distributed or concentrated loads is also derived. The correctness of the derived matrices is verified by numerical examples. It is found that the coupling effect between axial force and bending moment is significant for elements having axial end restraint. It was found that the decrease in bending moment was
in the

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Publication Date
Sun Sep 01 2013
Journal Name
Baghdad Science Journal
Synthesis and Theoretical Study of 4-(2-methyl-4-oxoquinazoline-3(4H)-yl) Benzoic acid with Some Transition Metal Ions

New complexes of the type [ML2(H2O)2] ,[FeL2(H2O)Cl] and [VOL2] were M=Co(II),Ni(II) and Cu(II) ,L=4-(2-methyl-4-oxoquinazoline-3(4H)-yl) benzoic acid were synthesized and characterized by element analysis, magnetic susceptibility ,molar conductance ,FT-IR and UV-visible. The studies indicate that the L acts as doubly monodentate bridge for metal ions and form mononuclear complexes. The complexes are found to be octahedral except V(IV) complex is square pyrimde shape . The structural geometries of compounds were also suggested in gas phase by theoretical treatments, using Hyper chem-6 program for the molecular mechanics and semi-empirical calculations, addition heat of formation(?Hf ?) and binding energy (?Eb)for the free ligan

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Publication Date
Fri Jan 01 2016
Journal Name
Journal University Of Kerbala
Synthesis and Characterization of Some Metal Complexes of [2-chloro-N-(1,5-dimethyl-3-oxo-2-phenyl-2,3-dihydro-1H-pyrazol-4-ylcarbamothioyl)acetamide] (L)

A new ligand [ 2-chloro-N- (1,5-dimethyl-3-oxo-2-phenyl-2,3-dihydro -1H-pyrazol- 4-ylcarbamothioyl)acetamide](L) was synthesized by reacting the Chloro acetyl isothiocyanate with 4-aminoantipyrine,The ligand was characterized by(C HNS) elemental microanalysis and the spectral measurements including Uv-Vis ,IR ,1H and13C NMR spectra, some transition metals complex of this ligand were prepared and characterized by Uv-Vis, FT-IR spectra, conductivity measurements, magnetic susceptibility and atomic absorption. From the obtained results the molecular formula of all prepared complexes were [M(L)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 Mar 08 2021
Journal Name
Baghdad Science Journal
Synthesis and Characterization of N-((6-substituted - Benzothiazol-2-Y)succunamic acid.3-(6-substituted-benzothiazol-2-Y1)-Carbamoyl Prorionyl Chloride and study of thier Biological effects

Twelve N-(6-sustirured benzothanol-2-y1) succinamic acids and 3-(6-substitted benzonathol-2-y1)-carbamoyl propionyl chloride were synthesized in good yields from reaction of benzonathol2-yl)

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