Let M be an R-module, where R is an integral domain with quotient field K .In this paper we introduce the concept of strongly primary submodule, where a submodule N of M is called strongly primary, it whenever r& K.xe M.rs EN Implies xeN or re(N:M) for some nez.. We study this concept and give some of its properties.

In this paper, we establish a relation between differential S' actions on homotopy 15-spheres and (12, 7) sphere pairs.

This paper investigates some exact and local search methods to solve the traveling salesman problem. The Branch and Bound technique (BABT) is proposed, as an exact method, with two models. In addition, the classical Genetic Algorithm (GA) and Simulated Annealing (SA) are discussed and applied as local search methods. To improve the performance of GA we propose two kinds of improvements for GA; the first is called improved GA (IGA) and the second is Hybrid GA (HGA).

The IGA gives best results than GA and SA, while the HGA is the best local search method for all within a reasonable time for 5 ≤ n ≤ 2000, where n is the number of visited cities. An effective method of reducing the size of the TSP matrix was proposed with

3D geological model for each reservoir unit comprising the Yamama Formation revealed to that the formation is composed of alternating reservoirs and barriers. In Subba and Luhais fields the formation began with barrier YB-1 and four more barriers (YB-2, YB-3, YB-4, YB-5), separated five reservoirs (YR-A, YR-B, YR-C, YR-D, YR-E) ranging in thickness from 70 to 80 m for each of them deposited by five sedimentary cycles. In the Ratawi field the formation was divided into three reservoir units (YR-A, YR-B, and YR-C) separated by two barrier units (YB-2 and YB-3), the first cycle is missing in Ratawi field.  

The study involves 1 well in Luhais field (Lu-12), 3 wells in Subba field (Su-7, Su-8, and Su-9), and 5 wells in Ratawi fi

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.

In this work, there will be upgraded on the work of (Mahmood and Mahmood , 2018) by finding a general rule of the code for any text made from any number of words by using James e-Abacus Diagram in partition theory

In this study consideration is given to viscous, incompressible, second order fluid flowing in a rectangular duct, with varying aspect ratio, under the action of the pressure gradient. In particular consideration is given to visco-inelastic liquid. An orthogonal coordinates system has been framed to describe the fluid motion and it is found that the motion equations are controiled by two parameters namely: Dean number and the Non-Newtonian parameter. Soluuons for the secondary flow and the axial velocity are derived as perturbations over straight pipe appearing through the dean number. The finite-difference method is employed to find a perturbation solution. These solutions have heen developed in certain coordinates for harmonic and biha

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

     In this research, we obtained nanoparticles (NPs) using a type of microwave (cold plasma) and water extract from Origanum vulgare with the addition of silver nitrate (AgNO3) solution. Silver nanoparticles are characterized by high production techniques. Experimental factors such as morphology, structure, optical properties and active compounds of the nanoparticle extract were studied through specific tests such as morphology, UV spectroscopy, FE-SEM, FT-IR, and Atomic Force Microscopy (AFM). Plants were used in manufacturing the nanoparticles, as plants are well known for their accessibility and applicability in different pathological areas. The current research provides information on the Green Union System of N

Strong evidence showed that many medicinal plants have the potential to reduce hyperlipidemia disease. The aim of this study was to determine the hypolipidemic activity of aqueous extracts of Fucus vesiculosus, Coleus forskohlii, Curcuma longa L., Rosmarinus officinalis L., Camellia sinensis L. and Melissa officinalis L. on lipid profile in serum taken from the blood of rats. Fifty-seven female albino rats were divided into 19 groups, each with three rats, that were treated orally with an aqueous plant extract in three different doses, except the control group which was treated with normal saline only. The chemical compositions of these extracts were analyzed using High Performance Liquid Chromatograph

     The sunrise, sunset, and day length times for Baghdad (Latitude =33.34º N, Longitude =44.43º E) were calculated with high accuracy on a daily basis during 2019. The results showed that the earliest time of sunrise in Baghdad was at 4^h: 53^m from 5 Jun. to 20 Jun while the latest was at 7^h: 07^m from 5 Jan. to 11 Jan. The earliest time of sunset in Baghdad was at16 ^h: 55^m from 30 Nov. to 10 Dec. whereas the latest was at 19^h: 16^m from 25 Jun. to 5 Jul. The minimum period of day length in Baghdad was 9^h: 57^m) in 17 Dec. whereas the maximum period was 14^h: 22^m) in 20 Jun. Day length

The aim of this study was the production of aspartame by using immobilized thermolysin in bentonite clay. The yield of immobilized thermolysin in bentonite was 92% of the original enzyme amount. pH profile of free and immobilized enzyme was 7.0 and 7.5 respectively which was stable at 6.5-9.0 for 30min. The optimum temperature of both enzymes was 50°C, while they were stable at 65°C for 30min. however, they lost 52.73 and 61.72% from its main activity at 80°C respectively. Immobilized thermolysin has retained all activity within 27 days, but it kept 68.27% of initial activity when stored for 60 days at 4°C whereas, it retained a full activity after 20 continue usage. In addition, it retained 86.53% of its original activity af

The major objective of this paper is to recognize the flow units of Yamama Formation in the west Qurna oil field, south of Iraq. To attain this objective, four wells namely, WQ-23, WQ-148, WQ-60, and WQ-203 are selected and analyzed. The two techniques hat proposed by some scientists to identify flow units are tested and verified. Results are also enhanced using well logs interpretation and the flow areas are proposed through the studying of the behavior of different well logs. Results of applying the two proposed techniques identify six flow reservoir units for the wells WQ-23, WQ-148, WQ-60, and WQ-203, respectively. This study also shows that the flow reservoir properties in the Yamama Formation improved towards the northeast of the W

The aim of this paper is to employ the fractional shifted Legendre polynomials (FSLPs) in the matrix form to approximate the fractional derivatives and find the numerical solutions of the one-dimensional space-fractional bioheat equation (SFBHE). The Caputo formula was utilized to approximate the fractional derivative. The proposed methodology applied for two examples showed its usefulness and efficiency. The numerical results showed that the utilized technique is very efficacious with high accuracy and good convergence.

Many studies revealed that Chlamydia trachomatis is the most prevalent bacteria “that cause sexually transmitted infections in the world.^. Most of these infections are asymptomatic and there is a remarkable relationship between CT infections and male infertility. Therefore, “the present study is established to determine the effect of Chlamydia trachomatis infection on seminal fluid quality in males suffering from infertility compared with fertile males.. “Semen samples were collected from 63 infertile male and 13 fertile male as control group, attending the clinical laboratory for routine seminal fluid analysis. Seminal fluid was analyzed according to World Health Organization guidelines, the whole geno

     The aim of this work is to survey the two rows resolution of Weyl module and locate the terms and the exactness of the Weyl Resolution in the case of skew-shape (8,6)/(2,1).

This paper presents results about the existence of best approximations via nonexpansive type maps defined on modular spaces. 

Some researchers are interested in using the flexible and applicable properties of quadratic functions as activation functions for FNNs. We study the essential approximation rate of any Lebesgue-integrable monotone function by a neural network of quadratic activation functions. The simultaneous degree of essential approximation is also studied. Both estimates are proved to be within the second order of modulus of smoothness.

An algebra has been constructed from a (D, A)-stacked algebra A, under the conditions that , A 1 and . It is shown that when the construction of algebra B is built from a (D, A)-stacked monomial algebra A then B is a d-Koszul monomial algebra.

In this paper, we propose a new approach of regularization for the left censored data (Tobit). Specifically, we propose a new Bayesian group Bridge for left-censored regression ( BGBRLC). We developed a new Bayesian hierarchical model and we suggest a new Gibbs sampler for posterior sampling. The results show that the new approach performs very well compared to some existing approaches.

In this paper, by using the Banach fixed point theorem, we prove the existence and uniqueness theorem of a fractional Volterra integral equation in the space of Lebesgue integrable 𝐿1(𝑅+) on unbounded interval [0,∞).

In this paper, the series solution is applied to solve third order fuzzy differential equations with a fuzzy initial value. The proposed method applies Taylor expansion in solving the system and the approximate solution of the problem which is calculated in the form of a rapid convergent series; some definitions and theorems are reviewed as a basis in solving fuzzy differential equations. An example is applied to illustrate the proposed technical accuracy. Also, a comparison between the obtained results is made, in addition to the application of the crisp solution, when the-level equals one.

An R-module M is called ET-H-supplemented module if for each submodule X of M, there exists a direct summand D of M, such that T⊆X+K if and only if T⊆D+K, for every essential submodule K of M and T M. Also, let T, X and Y be submodules of a module M , then we say that Y is ET-weak supplemented of X in M if T⊆X+Y and (X⋂Y M. Also, we say that M is ET-weak supplemented module if each submodule of M has an ET-weak supplement in M. We give many characterizations of the ET-H-supplemented module and the ET-weak supplement. Also, we give the relation between the ET-H-supplemented and ET-lifting modules, along with the relationship between the ET weak -supplemented and ET-lifting modules.

The main aim of this paper is to introduce the relationship between the topic of coding theory and the projective plane of order three. The maximum value of size of code over finite field of order three and an incidence matrix with the parameters,  (length of code),  (minimum distance of code) and  (error-correcting of code ) have been constructed. Some examples and theorems have been given.

Let be a ring with 1 and D is a left module over . In this paper, we study the relationship between essentially small quasi-Dedekind modules with scalar and multiplication modules. We show that if D is a scalar small quasi-prime -module, thus D is an essentially small quasi-Dedekind -module. We also show that if D is a faithful multiplication -module, then D is an essentially small prime -module iff is an essentially small quasi-Dedekind ring.

An -module is called absolutely self neat if whenever is a map from a maximal left ideal of , with kernel in the filter is generated by the set of annihilator left ideals of elements in into , then is extendable to a map from into . The concept is analogous to the absolute self purity, while it properly generalizes quasi injectivity and absolute neatness and retains some of their properties. Certain types of rings are characterized using this concept. For example, a ring is left max-hereditary if and only if the homomorphic image of any absolutely neat -module is absolutely self neat, and is semisimple if and only if all -modules are absolutely self neat.

In this paper, we offer and study a novel type generalized soft-open sets in topological spaces, named soft Æ„c-open sets. Relationships of this set with other types of generalized soft-open sets are discussed, definitions of soft Æ„ , soft bc- closure and soft bc- interior are introduced, and its properties are investigated. Also, we introduce and explore several characterizations and properties of this type of sets.

In this paper, we discuss the difference between classical and nonclassical symmetries. In addition, we found the non-classical symmetry of the Benjamin Bona Mahony Equation (BBM). Finally, we found a new exact solution to a Benjamin Bona Mahony Equation (BBM) using nonclassical symmetry.

Predicting future climate regionally and by space images and landscape studies indicate that the major influences is the increasing of carbon dioxide which attain to more than 350 ppm. The evidences accordingly refer to the increase in the earth temperature which attains to approximately 4 C◦ and 7.2 F◦ causes rapid inversion and changing the climate, so the surface air temperature is 22 C◦ in 1999 will be accordingly more than 26 C◦ in 2090.

This research deals with the spiritual side in mitigate the effect of dust storms on human beings .It is discussing the names and types of winds as written in holly Quran.