In this paper we introduce the idea of the commutator of two fuzzy subsets of a group and study the concept of the commutator of two fuzzy subsets of a group .We introduce and study some of its properties .

Adsorption and ion exchange are examples of fixed-bed sorption processes that show transient behavior. This means that differential equations are needed to design them. As a result, numerical methods are commonly utilized to solve these equations. The solution frequently used in analytical methods is called the Thomas solution. Thomas gave a complete solution that adds a nonlinear equilibrium relationship that depends on second-order reaction kinetics. A computational approach was devised to solve the Thomas model. The Thomas model's validity was established by conducting three distinct sets of experiments. The first entails the adsorption of acetic acid from the air through the utilization of activated carbon. Following

Abstract: Various peoples have contributed to building the Islamic civilization through the achievements and creativity of their scholars. In particular, the Kurdish scholars have provided new and great services to the Holy Qur’an that deserves attention. For example, it is no secret that Sheikh Ahmadian, with his interpretation, rendered a great service to the Glorious Book of God. His style is distinguished by modernity, seriousness and objectivity, and represents a lively response to the needs of the Kurdish Muslim people. Due to the importance of Ahmadian’s interpretation of the Qur’an, therefore, I have demonstrated his approach in this research in terms of dealing with his interpretation of the Qur’an with the Qur’an, the

Background: Magnetic resonance imaging (MRI) is the modality of choice for investigation of disorders of the spine. The use of spinal MRI imaging has increased over the last few years, with improvement in hardware such as magnets, coils as well as imaging techniques. Which should lead to accurate reporting of these examinations includes identifying the incidental abnormalities even if they are not related to the spine.

Objective: The objective is to evaluate the incidence, types and associated variables of

Patients and methods: A retrospective study of 507 patients was reviewed for MRI spine at Baghdad teaching hospital and x- ray institute who underwent imaging between J

This study aims to reach the right of governorates that are not organized in a region to impose local legislation, including tax legislation, and the extent of the constitutionality of this legislation and its consistency with constitutional texts and legal rules. The imposition of local taxes finds its constitutional and legal basis in the Iraqi constitution for the year 2005 and the law of governorates not organized in a region.The imposition of local taxes corresponds to the principle of tax legality, which is reflected in the necessity of issuing tax laws from a competent authority, whether this authority is federal, regional or local. Rather, it is sufficient that it be competent

During the syrvey on natural enemies of whiteflies in Iraq, the following. predators were recorded.

Resumen The article deals with the analysis of different ways of creating Arabic scientific terminology. Arabic scientific style includes the terminology that represents different scientific areas functioning in all Arabic countries. These ways can be classified as: giving the meaning of terms; construction of new terms according to the rules of word formation; reduction and ellipsis of terms; direct term borrowing, all the above-mentioned being subject to further analysis. Main objectives of academic style, the specific features and certain lexical and grammatical peculiarities of the Arabic scientific terminology are under consideration as well. Discussed in the paper are linguistic and extra-linguistic factors influencing the ways of sci

Thirty clinical isolates of Helicobacter pylori bacteria obtained from patients attending endoscopy unit of Ibn-Sena teaching hospital in Mosul . These patients were complaining from epigastric pain , dyspepsia , acidity , vomiting , abdominal pain , flatulance , heart burn and melena . The H. pylori isolates were used for Haemagglutination assay (HA) , which involves the recognition of various glycoconjugates on the surface of red blood cells . In this study sheep red blood cells has been used in (HA) assay because the sheep erythrocytes surface resemble that of human epithelial cells . The results proved by (HA) assay, the ability of H. pylori to adherence to specific receptors on the surface of Human Epithelial Cell , which is the

Abstract. Silver, Indium Selenium thin film with a thickness (5001±30) nm, deposited by thermal evaporation methods at RT and annealing3temperature (Ta=400, 500 and 600) K on a substrate of glass to study structural and optical properties of thin films and on p-Si wafer to fabricate the AgInSe2/p-Si heterojunction solar cell. XRD analysis shows that the AgInSe2 (AIS) deposited film at RT and annealing3temperature (Ta=400, 500 and 600) K have polycrystalline structure. The average grain size has been estimated from AFM images. The energy gap was estimated from the optical transmittance using a spectrometer type (UV.-Visible 1800 spectra photometer). From I-V characterization , the photovoltaic parameters such as, open-circuit voltage, short