Let  be a commutative ring with identity, and  be a unitary left R-module. In this paper we, introduce and study a new class of modules called pure hollow (Pr-hollow) and pure-lifting (Pr-lifting). We give a fundamental, properties of these concept.  also, we, introduce some conditions under which the quotient and direct sum of Pr-lifting modules is Pr-lifting.

     The goal of this paper is to show the kinematic characteristics of gaseous stellar dynamics using scaling coefficient relationships (such as Tully-Fisher) in different spiral galaxies. We selected a sample of types of spiral morphology  (116 early, 150 intermediate, and 146 late) from previous literature work, and used statistical software (statistic-win-program) to find out the associations of multiple factors under investigation, such as the main kinematic properties of the gaseous-stellar (mass, luminosity, rotational speed, and baryons) in different types of spiral galaxies. We concluded that there is a robust positive connection between Log V_rot.max.) and Log M_star(B-V), as well as between Log V_r

     Factor and cluster analysis, two multivariate statistical approaches, have been used to analyze temporal and spatial variations and pollutants sources effecting the water quality of Tigris River from the north to the south of Baghdad city. From October 2021 to September 2022, 15 water quality parameters (electrical conductivity (EC), pH, water temperature (WT), turbidity (Tur), total hardness (TH), biochemical Ooxygen Ddemand (BOD), dissolved oxygen (DO), Mg+, Ca+, SO4, dissolved solids (TDS), total suspended solids (TSS), total chlorine (TC), Cr, and Al) were tested at five monitoring sites (Balad, Al-Ghrai’at, Al-Shuhada'a Bridge, Al-Za’franiya, and Jisr Diyala), along the study area of the river. Results revealed that the

     Several illustrative studies on the mathematical modeling and analysis of the Coronavirus have been carried out in a short period of time. There is not enough work that accounts for the vaccination campaign's two stages. In this work, a mathematical model is created to show the impact of the recent two-stage vaccination treatment on the Coronavirus. In the proposed model, five compartments are constructed, namely the susceptible individuals , the first dose of vaccination  , the second dose of vaccination , infected  and recovered population . The uniqueness, boundedness and existence of the solutions of this model have been discussed. All potential model equilibrium points are determined. The local as well as global stability

     In the present study, three different depth conversion methods have been used with varying equations at Mishrif Formation to determine the best method to produce better, more realistic and accurate interpretation results and to reduce the risk of future petroleum production wells drilling. Three horizons were picked (Tanuma, Mishrif and Rumaila) and converted into a two-way time grid surface. In addition, the velocity parameters (instantaneous velocity and rate of velocity change with depth) were computed and converted to the form grid surface from the well data, showing lateral velocity variation. Among the three models carried out, the Model 1 is considered the most accurate depth conversion method in this region according to

     In this study, the linear Volterra integral problem of the second kind will be treated with delay using a Lagrange polynomial. The Volterra integral problem is solved numerically using the chosen technique to obtain the best approximation. Additionally, the test examples are provided to demonstrate, through comparison with other methods' outcomes, the great degree of accuracy of the approximative solutions. Moreover, To verify the accuracy of the calculations that is used in these test examples, the absolute error is used to compare it to the exact solution. For this method, the program is written by MATLAB R2018a language.

     In this paper, our purpose is to study the quaternary continuous classical boundary optimal control vector problem dominated by a quaternary linear parabolic boundary value problem. Under suitable assumptions and with a given quaternary continuous classical boundary control vector, the existence theorem for a unique quaternary state vector solution to the weak form is stated and demonstrated via the method of Galerkin. Furthermore, the continuity of the Lipschitz operator between the state vector solution to the weak form for the dominating equations and the corresponding are proved. The existence of a quaternary continuous classical boundary optimal control vector is stated and demonstrated under suitable Assumptions. The mathe

     The nuclear shell model was used to investigate the bulk properties of lithium isotopes (^6,7,8,9,11Li), i.e., the ground state density distributions and C0 and C2 components of charge form factors. The theoretical treatment was based on supposing that the Harmonic-oscillator (HO) potential governs the core nucleons while the valence nucleon(s) move through Hulthen potential. Such assumptions were applied for both stable and exotic lithium isotopes. The HO size parameters (  and ), the core radii ( ) and the attenuation parameters (  and ) were fixed to recreate the available empirical size radii for lithium isotopes under study.

     We provide a q-operator form solution to a generalized q-difference equation involving (r+s+2)-variables. We introduce a q-polynomials Ψ_n^((A,B)) (x,y,c|q). The generating function, two Rogers formulas, and two types of Srivastava-Agarwal generating functions for the polynomials Ψ_n^((A,B)) (x,y,c|q) are established using the q-difference equation technique.

     Escherichia coli is gram negative bacteria and represents a typical resident of the digestive systems of both humans and animals. The stability and equilibrium of the luminal microbial flora are significantly influenced by E. coli. The Escherichia coli uropathogenic-specific protein (Usp) represents type of genotoxins produced by uropathogenic E. coli rather than fecal E. coli isolates. In the current study E. coli was isolated from urine and stool and usp gene was detected in it.   Sensitivity test was evaluated by using different types of antibiotics and the usp gene was detected by PCR in all bacterial isolates. Antibiotics sensitivity test showed variable degrees of sensitivity and resistance. High percentage of sensitivit

     The aim of this paper is to define new concepts, namely a homogenous system of difference equations x(n+1)=Bx(n)  where  B is a matrix of real numbers, which is called P-semi homogenous of order m if there exists a non-zero matrix A and integer number m such that the following equation holds: F (A(c)x(n))= 〖P(A(c))〗^m F(x(n)), Where F is a function,  m and  P are integer numbers and c is a real number. This definition is a generalization to the (3×3)-semi-homogeneous system of difference equations of order m. Special cases are studied of this definition and illustrative examples are given and some characterizations of this definition are also given. The necessary and sufficient conditions for a homogenous system of diff

     This article suggests designing an intelligent system to rehabilitate criminals in smart cities, which consists of two categories: the first category suggests a “smart social system," which suggests managing the behaviors (good or bad) of individuals as the root of crime committing. To manage any criminal behavior, we proposed electronic recording of the criminal behavior as the first step, then submitting the criminal with its behavior under proposed rehabilitation theories as the second step to examine the behavior enhancement. This rehabilitation system depends on the prize-and-penalty principle. The penalty in this system is a suspended sentence with community services and fines instead of prison punishment. The second pro

     Traditionally, real estate prices were determined based on demand and supply. As the real estate market was  unregulated and underdeveloped, brokers and real estate builders had an upper hand in determining the unit prices of residential houses in Abu Dhabi. A pricing gap was eventually noticed. This was a challenge. There is a delay in updating the real estate websites and portal information. Therefore, the need for accurate forecasting of prices has become urgent. With a variety of use case scenarios for machine learning concepts, this paper is dedicated to using the concepts of machine learning to predict the real estate prices of Aldar in the Abu Dhabi region, which comprises 511 residential units, 15 retail shops, and one

     In this paper, the class of meromorphic multivalent functions of the form by using fractional differ-integral operators is introduced. We get Coefficients estimates, radii of convexity and star likeness. Also closure theorems and distortion theorem for the class ,  is calculaed.

Cadmium sulfide quantum dots were synthesized and deposited on glass substrates by chemical bath deposition (CBD) technique using cadmium sulfate and thiourea solutions in the presence of a 4,4’-(1,2-ethanediyldinitrilo)bis-(2-pentanone) (EDDBP) tetradentate ligand as a complexing agent. The order of reagents addition was varied to deposit films that were characterized for their surface morphological, optical, structural, and solid-state properties using a scanning electron microscope (SEM), a UV-visible spectrophotometer, an X-ray diffractometer (XRD), and Brunauer-Emmet-Teller (BET) analyses. The optimal condition for film deposition using the norma

     The reliability in stress–strength model (s–s) is estimated in this article when the system has parallel and series components subject to one of the stresses and it follows generalized exponential distribution by taking via different estimation methods, namely the maximum likelihood estimation, unbiased estimation, moment estimation and shrinkage estimation. Also, the Mont Carlo method is used to compare these methods under mean squared error.

Recently, the environmental isotopes are adopted to figure out the hydrological processes, recharge areas, flow paths, groundwater origin and the interaction between different watery bodies. Currently, five samples of the rainwater have been collected since January to April 2012, as well as December 2011. Those sampling periods have highest amounts of precipitation events. Meantime, 25 samples of groundwater, 5 of the Lesser Zab River and 3 of overland flow have been picked up during the wet period. The dry sampling of groundwater and the Lesser Zab River has been achieved in summer 2011. The Local Meteoric Water Line lies between Global Meteoric Water Line (GMWL) and East Mediterranean Water Line (EMWL). The lowest, highest and

In this paper, we studied the effect of magnetic hydrodynamic (MHD) on accelerated flows of a viscoelastic fluid with the fractional Burgers’ model. The velocity field of the flow is described by a fractional partial differential equation of fractional order by using Fourier sine transform and Laplace transform, an exact solutions for the velocity distribution are obtained for the following two problems: flow induced by constantly accelerating plate, and flow induced by variable accelerated plate. These solutions, presented under integral and series forms in terms of the generalized Mittag-Leffler function, are presented as the sum of two terms. The first term, represent the velocity field corresponding to a Newtonian fluid, and the se

The aim of this paper is the study of the influence of magnetic field on unsteady
flow of the second-grade fluid with constant viscosity. The equations which
controlled this type of fluid flow are complicated, so finding an analytical solution is
not easy, because it is a system of partial differential equations.We obtained an
expression for the velocity by using homotopy analysis method HAM.
It is found that the equations motion are controlled by many dimensionless
parameter, namely magnetic field parameter M and material constant α,
dimensionless film thickness β and unsteadiness parameter S.We have been studied
the influence of all the physical parameters, that mentioned above on the velocity
field, also a

There are many factors effect on the spread of infectious disease or control it,
some of these factors are (immigration and vaccination). The main objective of this
paper is to study the effect of those factors on the dynamical behavior of an SVIR
model. It is assumed that the disease is spread by contact between members of
populations individuals. While the recovered individuals gain permanent immunity
against the disease. The existence, uniqueness and boundedness of the solution of
this model are investigated. The local and global dynamical behaviors of the model
are studied. The local bifurcations and Hopf bifurcation of the model are
investigated. Finally, in order to confirm our obtained results and specify t

Iraq has had more than 10000 km2 of geographical low land areas called marshes.
Enriched with great diversity of natural vegetation and wild life. With increasing
climatic changes and passive man interference phenomena, vast areas of these
marshes have deteriorated through drying out processes at an alarming rate.
According to recent survey achieved by several Iraqi ministries marshes areas have
decreased to about quarter of theS original area. The statistical data and geospatial
information are weak. We monitored, assessed the environmental processes and
detect changes using digitally processed landsat MSS (Multispectral Scanner) and
Spot (System Pour Observation) satellite images that transform haur Ibn Najm

This study designed to evaluate the deleterious effects of iron overloaded on organs weights , enzyme activity of liver and bilirubin, iron concentration, total iron binding capacity in serum and on bone marrow cells proliferation in mice.
The obtained results showed non significant differences in organ weights (spleen and kidney) in group 1 that treated with three parts extracts of pomegranate except the decreasing in spleen weight subgroup 1-4 , significant increasing in liver and kidney weight in all animals treated with iron dextran (group 2) in comparison with their weights of organs in negative control (group 1). While significant increasing in iron concentrations in serum of animal administrated peel and juice in comparison wit

Numerical simulations are carried out to investigate the possibility of observing
extrasolar planet nearby star via optical telescopes. Several techniques are
considered in this study in order to quantitatively assess their quality in suppressing
the wings of the point spread function of optical telescope of a reference star. The
optical telescope with circular Gaussian shape aperture reveals extrasolar planet
even with contrast ratio 10-7 while the square Gaussian shape aperture reveals the
planet with 10-5.

In recent years, Elliptic Curve Cryptography (ECC) has attracted the attention of
researchers and product developers due to its robust mathematical structure and
highest security compared to other existing algorithms like RSA. It is found to give
an increased security compared to RSA for the same key-size or same security as
RSA with less key size. In this paper a new approach is proposed for encrypting
digital image using the arithmetic of elliptic curve algebra. The proposed approach
produced a new mask for encrypt the digital image by use a new convolution
processes based on ECC algebra operations and work as symmetric cryptographic
system instead of asymmetric system. A new approach combined both compression

Images are usually corrupted by type of noise called "mixed noise ", traditional
methods do not give good results with the mixed noise (impulse with Gaussian
noise) .In this paper a Simple Cascade Method (SCM) will be applied for mixed
noise removal (Gaussian plus impulse noise) and compare it's performance with
results that acquired when using the alpha trimmed mean filter and wavelet in
separately. The performances are evaluated in terms of Mean Squane Error (MSE)
and Peak Signal to Noise Ratio (PSNR).

The charge density distributions (CDD) and the elastic electron scattering form factors, F(q), of the ground state for some 1f-2p shell nuclei, such as 74Ge, 76Ge, 78Se and 80Se nuclei have been calculated based on the use of occupation numbers of the states and the single particle wave functions of the harmonic oscillator potential with size parameters chosen to reproduce the observed root mean square charge radii for all considered nuclei. It is found that introducing additional parameters, namely β1 and β2 which reflect the difference of the occupation numbers of the states from the prediction of the simple shell model leads to a remarkable agreement between the calculated and experimental results of the charge density distributions

Geodesy is concerned with the relative positioning of points and the gravity field of the earth. For this task, a well-defined coordinate system is needed on which measurements are normally tied to a set of reference points called a geodetic datum (geoid or ellipsoid). The Global Positioning System GPS gives accurately the three-dimensional position of a point (latitude, longitude, and ellipsoidal height) and can measure under all weather conditions. The coordinates of the GPS reference to the World Geodetic System1984 (WGS 84), a global ellipsoid having its origin as the mass center of the earth, and height, referenced to the surface of the ellipsoid . In this research , using RTK-DGPS technique Data collection for study local and level

     In the past years, there was an attempt to add one column to the e-abacus diagram, then another work followed by other researchers by adding several columns to the same diagram. At that time, a question remained, is it possible to add a row and later several rows on the same diagram? Or is this not an easy thing except under certain conditions? In this research, we will know when we can take these steps.

The studied succession (Lower Miocene-Early Middle Miocene) In central Iraq is distinguished by a wide range of fossils, mostly benthic foraminifera, and other fossils including bivalves, gastropods, echinoids fragments, red algae and coral are also presented. Index fossils of benthic foraminifera have been used for the purpose of determining the age of the Euphrates and Jeribe formations, because of their young age, wide geographical distribution and abundance in the selected wells.

The present study involves four selected wells of Ajil oil field and in terms of the biostratigraphy of the Euphrates, Dhiban, and Jeribe formations depending on benthic foraminifera and other associated fossils. Some of these fossils have a short ve

The groundwater evaluation has been carried out in Khanaqin area in Diyala governorate to the east of Iraq. The analyzed hydrochemical parameters such as pH, electrical conductivity, total dissolved solids as well as cations and anions are used to describe groundwater quality and its suitability for different purposes. The study area covers (1920) km². According to hydrogeological investigation (43) water points were inventoried and water levels in wells were measured. (34) Wells were sampled during 2013-2014 during water surplus and water deficit periods. The studied area is divided groundwater aquifers into two main units, the unconfined and confined aquifers. The values of pH, electrical conductivity (EC) and total dissolve