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Solving the Created Equations from Power Function Distribution
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      In this paper, a new class of ordinary differential equations is designed for some functions such as probability density function, cumulative distribution function, survival function and hazard function of power function distribution, these functions are used of the class under the study. The benefit of our work is that the equations ,which are generated from some probability distributions, are used to model and find  the  solutions  of problems in our lives, and that the solutions of these equations are a solution to these problems, as the solutions of the equations under the study are the closest and the most reliable to reality. The existence and uniqueness of solutions the obtained equations in the current study are discussed. The exact solutions of these obtained differential equations are calculated using some methods. In addition, the approximate solutions are determined by the Variation Iteration Method (VIM) and Runge-Kutta of 4th Order (RK4) method. The chosen approximate methods VIM and RK4 are used in our study because they are reliable, famous, and more suitable for solving such generated equations. Finally, some examples are given  to illustrate the behavior of the exact and the approximate solutions of the differential equations with the scale parameters of power function distribution.

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Publication Date
Sat Dec 01 2018
Journal Name
Al-khwarizmi Engineering Journal
Mechanical Properties of Burnished Steel AISI 1008
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Burnishing improves fatigue strength, surface hardness and decrease surface roughness of metal because this process transforms tensile residual stresses into compressive residual stresses. Roller burnishing tool is used in the present work on low carbon steel (AISI 1008) specimens. In this work, different experiments were used to study the influence of feed parameter and speed parameter in burnishing process on fatigue strength, surface roughness and surface hardness of low carbon steel (AISI 1008) specimens. The first parameter used is feed values which were (0.6, 0.8, and 1) mm at constant speed (370) rpm, while the second parameter used is speed at values (540, 800 and 1200) rpm and at constant feed (1) mm. The results of the fatigue

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Publication Date
Thu Apr 28 2022
Journal Name
Iraqi Journal Of Science
On Intuitionistic Fuzzy bi- Ideal With respect To an Element of a near Ring
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In this paper we introduce the notions of bi-ideal with respect to an element r
denoted by (r-bi- ideal ) of a near ring , and the notion fuzzy bi- ideal with respect
to an element of a near ring and the relation between F-r-bi-ideal and r-bi-ideal of
the near ring, we studied the image and inverse image of r-bi- ideal under
epimomorphism ,the intersection of r-bi- ideals and the relation between this ideal
and the quasi ideal of a near ring, also we studied the notion intuitionistic fuzzy biideal
with respect to an element r of the near ring N, and give some theorem about
this ideal .

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Publication Date
Sat Oct 30 2021
Journal Name
Iraqi Journal Of Science
N Sequence Prime Ideals
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    In this paper, the concepts of -sequence prime ideal and -sequence quasi prime ideal are introduced. Some properties of such ideals are investigated. The relations between -sequence prime ideal and each of primary ideal, -prime ideal, quasi prime ideal, strongly irreducible ideal, and closed ideal, are studied. Also, the ideals of a principal ideal domain are classified into quasi prime ideals and -sequence quasi prime ideals.

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Publication Date
Sun Mar 04 2018
Journal Name
Baghdad Science Journal
On Fully Stable Banach Algebra Modules and Fully Pesudo Stable Banach Algebra Modules
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The concept of fully pseudo stable Banach Algebra-module (Banach A-module) which is the generalization of fully stable Banach A-module has been introduced. In this paper we study some properties of fully stable Banach A-module and another characterization of fully pseudo stable Banach A-module has been given.

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Publication Date
Sun Dec 06 2015
Journal Name
Baghdad Science Journal
New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials
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Based on analyzing the properties of Bernstein polynomials, the extended orthonormal Bernstein polynomials, defined on the interval [0, 1] for n=7 is achieved. Another method for computing operational matrices of derivative and integration D_b and R_(n+1)^B respectively is presented. Also the result of the proposed method is compared with true answers to show the convergence and advantages of the new method.

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Publication Date
Sat Oct 01 2022
Journal Name
Environmental Advances
Stability and performance studies of emulsion liquid membrane on pesticides removal using mixture of Fe3O4Â nanoparticles and span80
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Publication Date
Tue Jun 30 2020
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Process Optimization Study of Pb(II) Removal by Bulk Liquid Membrane (BLM)
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   Box-Wilson experimental design method was employed to optimized lead ions removal efficiency by bulk liquid membrane (BLM) method. The optimization procedure was primarily based on four impartial relevant parameters: pH of feed phase (4-6), pH of stripping phase (9-11), carrier concentration TBP (5-10) %, and initial metal concentration (60-120 ppm). maximum recovery efficiency of lead ions is 83.852% was virtually done following thirty one-of-a-kind experimental runs, as exact through 24-Central Composite Design (CCD). The best values for the aforementioned four parameters, corresponding to the most restoration efficiency were: 5, 10, 7.5% (v/v), and 90 mg/l, respectively. The obtained experimental data had been

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Publication Date
Sun Dec 07 2014
Journal Name
Baghdad Science Journal
A Study Of Corrosion Behavior Of Low Carbon Steel In Acidic And Basic Washing Water Of Crude Oil Solution At Different Temperatures
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The corrosion behavior of low carbon steel in washing water of crude oil solution has been studied potentiostatically at five temperatures in the range ( 303 –343 )K, at pH ( 4 ) and at pH (4,6,7,9,11 ) at (343K)..The corrosion potential shifted to more negative values with increasing temperature and the corrosion current density increased with increasing temperature, the corrosion current density (icorr) decreased with increasing pH in the rang ( 4 – 7 ) and it increased with increasing pH in the rang ( 9 – 11 ) at ( 343 K ), while the corrosion potential generally variation with increasing pH in the rang (4-11)at(343K. From the general results for this study can be seen that thermodynamic and kinetic function were

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Publication Date
Sun Mar 04 2018
Journal Name
Iraqi Journal Of Science
Energy Band Diagram of NiO: Lu2 O3/n-Si heterojunction
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Crystalline NiO and doped with rare earth lutetium oxide (Lu2O3) at (6%wt)., have been prepared by pulsed laser deposition (PLD), The Q-switched Nd:YAG laser beam was incident at an angle of 45° on the target surface, and the energy of the laser was 500 mJ, wavelengths of 532nm, and frequency 6Hz. XRD pattern shows all doped and undoped films are polycrystalline, and cubic structure. The 200nm thin NiO showed an average optical energy band gap of 3.4eV, and increase with doping at 6% Lu2O3. The Hall Effect measurements confirmed that holes were predominant charges in the conduction process (i.e p-type). D.C conductivity measurements with temp-erature (T), show

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Publication Date
Tue Mar 30 2010
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Minimization of Toxic Ions in Waste Water Using Emulsion Liquid Membrane Technique
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In the present study, the removal of zinc from synthetic waste water using emulsion liquid membrane extraction technique was investigated. Synthetic surfactant solution is used as the emulsifying agent. Diphenylthiocarbazon (ditizone) was used as the extracting agent dissolved in carbon tetrachloride as the organic solvent and sulfuric acid is used as the stripping agent. The parameters that influence the extraction percentage of Zn+2 were studied. These are the ratio of volume of organic solvent to volume of aqueous feed (0.5-4), ratio of volume of surfactant solution to volume of aqueous feed (0.2-1.6), pH of the aqueous feed solution (5-10), mixing intensity (100-1000) rpm, concentration of extracting agent (20-400) ppm, surfactant co

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