The main focus of this research is to examine the Travelling Salesman Problem (TSP) and the methods used to solve this problem where this problem is considered as one of the combinatorial optimization problems which met wide publicity and attention from the researches for to it's simple formulation and important applications and engagement to the rest of combinatorial problems , which is based on finding the optimal path through known number of cities where the salesman visits each city only once before returning to the city of departure n this research , the benefits  of( FMOLP)   algorithm is employed as one of the best methods to solve the (TSP) problem and the application of the algorithm in conjun

The researchers have a special interest in studying  Markov  chains as one of the probability samples which has many applications in different fields. This study comes to deal with the changes issue that happen on budget expenditures by using statistical methods, and Markov chains is the best expression about that as they are regarded reliable  samples in the prediction process. A transitional matrix is built for three expenditure cases (increase ,decrease ,stability) for one of budget expenditure items (base salary) for three directorates (Baghdad ,Nineveh , Diyala) of one  of the ministries. Results are analyzed by applying  Maximum likelihood estimation  and Ordinary least squares  methods resulting

هدف البحث الى إعداد تمرينات تعليمية  بأسلوب التمرين المتغير واثره في تعلم مراحل فعالية الوثب العالي, واستخدمت الباحثون المنهج التجريبي على عينة من (20) طالبة في المرحلة الرابعة جامعة بغداد كلية التربية البدنية وعلوم الرياضة للبنات شعبة ( ب), مقسمين الى مجموعتين تجريبية وضابطة , واستخدم الباحثون منهج تعليمي بأسلوب التمرين المتغير للمجموعة التجريبية لمدة (6 أسابيع) بواقع وحدتين تعليمية في الأسبوع , واستنتجت

تعد ظاهرة الصراعات ظاهرة قديمة كقدم الوجود البشري وهذا يطبق على المستوى الدولي مما يجعل الدول الصغرى هي ساحة تصفيات كما هو الحال في سوريا مما يجعل الامن الانساني فيها معدوم

The research goes to clarifying the system of values ​​in dialogue with the violator through an inspection of our cultural heritage, and our inherent religious values. Al-Rashidah, and this position is represented in their various and varied dialogues with the Kharijites, whether that was at the beginning of their appearance - as is the case in the dialogue of Ali and Ibn Abbas, may God be pleased with them - or after the formation of their teams and the strength of their thorns, as in the dialogue of Ibn al-Zubayr and Jabir bin Abdullah, may God be pleased with them.

In these dialogues, I found important values ​​in the dialogue, which it is good to draw upon and work on, especially with the extremist currents in our tim

The harsh human suffering experienced by the Andalusians were a religious conflict and racist impact on all aspects of public life. The religious factor most important factors that determined the nature of the hostile relationship between the Andalusian and Castilian, Castile has sought to make them Christians by force through laws that deprived them of all their rights. In spite of the large number of those laws, the authority admitted inability to subdue the Andalusians to its will through the issuance of the final decree of expulsion.

The basic goal of human creation is worship, the Almighty stated: { I created the jinn and mankind only to worship Me} Al-Dhariyat 56.  The basic worships by which we approach Allah Almighty are the praying and zakat, that they are significant because the praying  and zakat mostly come together in numerous Qur’anic verses. Being the praying is a Physical worship while zakat is a financial devotion, they have many educational effects explained by the writer Muhammad Darwaza in his interpretations of these two pillars of Islam that he has chosen them to be the subject of this research

It could be said that the essence of the “quota” is the state’s intervene as external power in bringing positive change for the benefit of the disadvantaged women and cultural minorities, and from the perspective that compensatory justice requires dealing differently with the different parties culturally and economically for the benefit of those deprived of them. Practicing of quotas merely, does not mean the full achievement of equality between cultural and sexual components in general, but it’s a big leap towards achieving this crucial goal, since the latter necessarily requires a range of legal and non-legal mechanisms aimed at empowering women and expanding their capabilities as a whole. On the other hand, in the absence of a