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Particle-Hole State Density Calculations with Non-Equidistant Spacing Model: I. Basic Derivation

The basic analytical formula for particle-hole state densities is derived based on the non-Equidistant Spacing Model (non-ESM) for the single-particle level density (s.p.l.d.) dependence on particle excitation energy u. Two methods are illustrated in this work, the first depends on Taylor series expansion of the s.p.l.d. about u, while the second uses direct analytical derivation of the state density formula. This treatment is applied for a system composing from one kind of fermions and for uncorrected physical system. The important corrections due to Pauli blocking was added to the present formula. Analytical comparisons with the standard formulae for ESM are made and it is shown that the solution reduces to earlier formulae providing more general way to calculate state density. Numerical calculations then are made and the results show that state density behavior with excitation energy deviates from Ericson’s and Williams’ formulae types, especially at higher excitation energies

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Publication Date
Thu Sep 30 2021
Journal Name
Iraqi Journal Of Science
The Continuous Classical Boundary Optimal Control of Triple Nonlinear Elliptic Partial Differential Equations with State Constraints

    Our aim in this work is to study the classical continuous boundary control vector  problem for triple nonlinear partial differential equations of elliptic type involving a Neumann boundary control. At first, we prove that the triple nonlinear partial differential equations of elliptic type with a given classical continuous boundary control vector have a unique "state" solution vector,  by using the Minty-Browder Theorem. In addition, we prove the existence of a classical continuous boundary optimal control vector ruled by the triple nonlinear partial differential equations of elliptic type with equality and inequality constraints. We study the existence of the unique solution for the triple adjoint equations

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Publication Date
Wed Apr 12 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Plasma Power Density Produced by D-T Fusion Reaction

         Calculation of the power density of the nuclear fusion reactions plays an important role in the   construction of any power plants. It is clear that the power released by fusion reaction strongly depended on the fusion cross section and fusion reactivity. Our calculation concentrates on the most useful and famous fuels (Deuterium-tritium) since it represents the principle fuels in any large scale system like the so called tokomak.

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Publication Date
Wed May 10 2023
Journal Name
Journal Of Planner And Development
The impact of population density in sustainable housing - An applied study in the city of Baghdad (Mahalla 817), Al-Bayaa as a model

Population density represents an important indicator for determining the growth of the size of urban areas. Population density has a direct impact on the quality of life, and its excessive rise may lead to the deterioration of basic service facilities. The problem of the research is that the increase in the total population densities of the residential neighborhood may reflect negatively on the nature of the services provided to the residents in these shops, and thus the failure to achieve sustainability in the residential locality. The research assumes that the increase in population densities negatively affects the achievement of sustainability in the residential neighborhood.

 

      

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Publication Date
Fri Jun 24 2022
Journal Name
Iraqi Journal Of Science
Determination the density of cometary nucleus material using gamma ray attenuation

In this work, the technique of attenuation of gamma ray to calculate the density of comet nucleus materials (C/2009 P1 (GARRADD) at different range of energy (0.2- 0.9 MeV). also, the single scattering model for gamma rays has been assumed that photons reaching the detector with scattered only once in the material. The program has been designed and written in FORTRAN language (77 – 90) to calculate the density for molecules using Monte Carlo method was used to simulate the scattering and absorption of photons in semi- infinite material. Gamma ray interacts with the matter by three mainly interactions: Photoelectric effect, Compton scattering and Pair production (electron and positron). On the 137Cs source energy (662 keV), Compton scat

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Publication Date
Tue Dec 01 2020
Journal Name
Journal Of Engineering
Impact of Induction Motor Faults on the Basic Parameters' Values

Unlike fault diagnosis approaches based on the direct analysis of current and voltage signals, this paper proposes a diagnosis of induction motor faults through monitoring the variations in motor's parameters when it is subjected to an open circuit or short circuit faults. These parameters include stator and rotor resistances, self-inductances, and mutual inductance. The genetic algorithm and the trust-region method are used for the estimation process. Simulation results confirm the efficiency of both the genetic algorithm and the trust-region method in estimating the motor parameters; however, better performance in terms of estimation time is obtained when the trust-region method is adopted. The results also show the po

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Publication Date
Thu Mar 03 2022
Journal Name
Trends In Sciences
Computational Study of Charge Density Produced in N2: H2 Plasma Actuator

Numerical simulation of charge density produced in plasma actuators is dependent upon the development of models dealing with electrical properties. The main aim of this work is to investigate the characteristics surface charge density and space charge density of DBD plasma actuator. A simple design of surface dielectric barrier discharge plasma actuator is used in the study. The discharge gas was N2:H2 mixture with applied voltage equal to 1.5 kV. A theoretical plasma model is used to establish the charge density details. Results show that surface charge density increased in value and spread in width alone the exposed electrode as the voltage increased and reached to the amplitude value.

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Publication Date
Sat Aug 21 2021
Journal Name
Engineering, Technology & Applied Science Research
The Response of a Highly Skewed Steel I-Girder Bridge with Different Cross-Frame Connections

Braces in straight bridge systems improve the lateral-torsional buckling resistance of the girders by reducing the unbraced length, while in horizontally curved and skew bridges, the braces are primary structural elements for controlling deformations by engaging adjacent girders to act as a system to resist the potentially large forces and torques caused by the curved or skewed geometry of the bridge. The cross-frames are usually designed as torsional braces, which increase the overall strength and stiffness of the individual girders by creating a girder system that translates and rotates as a unit along the bracing lines. However, when they transmit the truck’s live load forces, they can produce fatigue cracks at their connection

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Publication Date
Tue Jun 30 2015
Journal Name
Al-kindy College Medical Journal
Gene frequency and haplotype analysis of HLA class I in patients with simple renal cysts

Background: The study of human leukocytes (HLA) alleles, and haplotype frequencies within populations provide an important source of information for anthropological investigation, organ and hematopoietic stem cell transplantation as well as disease association, certain diseases showed association with specific alleles specially those of known or suspected hereditary origin or immunological basis, whether simple renal cyst is congenital or acquired is still unclear and need to be investigated.Objectives: To study the genetic aspect of simple renal cysts by detecting the gene frequency and the haplotype of HLA class I of patients with simple renal cysts, and to find the presence of these cysts in other family members.Method: Thirty patient

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Publication Date
Sun Jul 02 2023
Journal Name
Iraqi Journal Of Science
Determination of HLA Class I Antigens in some Iraqi patients with Acute and Chronic Urticaria

This research was included (60) patients diagnosed as having Urticaria, (30) patients with acute Urticaria and (30) patients with chronic Urticaria in addition to ( 30) healthy people were chosen as a control. lymphoid cells (Lymphocytes) isolated from patients and healthy controls and added to Terasaki Plates which containing specific antibodies to the( HLA -Class I Antigen) to identify alleles of these antigens. The result showed (HLA-A2) allele increased in its recurrences in patients with acute Urticaria and significantly higher when compared with chronic Urticaria patients and control group, which have Relative Risk (RR) (4.12 , 13.50), respectively, and raise the value of the Etiological Fraction (EF) to (0.45 , 0.55), respectively

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Publication Date
Mon Jun 05 2023
Journal Name
Journal Of Engineering
Serviceability behavior of High Strength Concrete I-beams reinforced with Carbon Fiber Reinforced Polymer bars

Fiber Reinforced Polymer (FRP) bars are anisotropic in nature and have high tensile strength in the fiber direction. The use of High-Strength Concrete (HSC) allows for better use of the high-strength properties of FRP bars. The mechanical properties of FRP bars can yield to large crack widths and deflections. As a result, the design of concrete elements reinforced with FRP materials is often governed by the Serviceability Limit States (SLS). This study investigates the short-term serviceability behavior of FRP RC I-beams. Eight RC I-beams reinforced with carbon-FRP (CFRP) and four steel RC I-beams, for comparison purposes, were tested under two-point loading.
Deformations on the concrete and crack widths and spacing are measured and

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