Longitudinal data is becoming increasingly common, especially in the medical and economic fields, and various methods have been analyzed and developed to analyze this type of data.

In this research, the focus was on compiling and analyzing this data, as cluster analysis plays an important role in identifying and grouping co-expressed subfiles over time and employing them on the nonparametric smoothing cubic B-spline model, which is characterized by providing continuous first and second derivatives, resulting in a smoother curve with fewer abrupt changes in slope. It is also more flexible and can pick up on more complex patterns and fluctuations in the data.

The longitudinal balanced data profile was compiled into subgroup

This paper deals with constructing a model of fuzzy linear programming with application on fuels product of Dura- refinery , which consist of seven products that have direct effect ondaily consumption . After Building the model which consist of objective function represents the selling prices ofthe products and fuzzy productions constraints and fuzzy demand constraints addition to production requirements constraints , we used program of ( WIN QSB )  to find the optimal solution

Knowing the nature of the relationship in federal systems lies in studying the political, social, economic and cultural forces, for their role in laying the foundations and the federal system. No matter how important the pillars of that system are, and through this research, we will learn how the political elites were able to crystallize this unique system, until it became one of the political systems that some countries seek to copy and apply its experience.

This paper investigated the fatigue life behavior of two composite materials subjected to different times of shot peening (2, 4 and 6 min).The first material prepared from unsaturated polyester with E-glass reinforcement by 33% volume fraction. While, the second one was prepared from unsaturated polyester with aluminum powder by2.5% volume fraction. The experimental results showed that the improvement in endurance limit was obtained (for the first material) at 2, 4 and 6 min shot peening times where the percentage of maximum improvement was 25% at shot peening time of 6 min. While, the endurance limit of the second material decreased at shot peening times of 2, 4 and 6 min where the percentage of maximum reduction was 29 % at shot peenin

Conclusion :

The conflict between the fundamentalist and news theory in the methodology that each of the two schools pursued with the Twelver Shi'a Imamiyyah in deriving the legal rulings from the sources of legislation, especially in the second source, which is the noble hadith and narration after the Holy Qur’an, which is the first source has gone through multiple and complex stages that led This struggle to excess, stress, exaggeration, negligence, neglect and indulgence by each of the two schools in dealing with the noble hadith and narration and in the manufacture of rules and laws and fundamentalist and juristic theories of the process of jurisprudential development of legal rulings where every school believed and proceed

   A comparison of double informative and non- informative priors assumed for the parameter of Rayleigh distribution is considered. Three different sets of double priors are included, for a single unknown parameter of Rayleigh distribution. We have assumed three double priors: the square root inverted gamma (SRIG) - the natural conjugate family of priors distribution, the square root inverted gamma – the non-informative distribution, and the natural conjugate family of priors - the non-informative distribution as double priors .The data is generating form three cases from Rayleigh distribution for different samples sizes (small, medium, and large). And Bayes estimators for the parameter is derived under a squared erro

This study examines the relationships between Kuwait and the Soviet Union from 1961 to 1991, chiefly by analyzing not only the factors that drove Kuwait to form diplomatic relationships with Moscow in 1963 but also how domestic, regional, and international variables affected the development of those relationships until 1991. The study presents the analytical and historical research methods used to reach its findings. Among the findings, Kuwait’s decision to forge diplomatic relationships with Moscow in 1963 indeed seems to have been driven by domestic, regional, and international factors, including Kuwait’s geographical situation, the historical background of the relationships between Kuwait and Moscow, and the structure of t

Greek theatre and roman theatre don’t let for woman with working in the theatre such as writer , directing and acting theatre , so appear term women theatre in past sixty central because the woman feeling with iniquitousness in your life , so this search included several sections that include money parts . Part one is term theatre women. Part two causes show the women theatre. Part three jenouse women in writer, direction, and action in the world. Part four jenouse women in the Arab theatre. Part fife Iraqi woman jenouse in the theatre. Section tow includes analyses for once performance Iraqi theatre that include several women. This performance from editor and direction by kaseem – Muhammad, assistant in the direction montaha – rah

Abstract

The Research "Surah At-Talaq between Commentators and Jurists" is summarized in the objectives of the Surah, clarifying the meanings of the verses of the rulings contained therein by mentioning the statements of the commentators, with mentioning the most acceptable of those meanings when a difference arises, explanation of the provisions of the Surah, with a statement of sayings of the  four religious schools of Islamic jurisprudence, in summary, due to the narrowness of the place, and the most acceptable of them.

The research addresses (9) topics, which are: the objectives of Surah At-Talaq, prohibition of divorce during menstruation, testifying retract and divorce, irrevocably divo