Markov chains are an application of stochastic models in operation research, helping the analysis and optimization of processes with random events and transitions. The method that will be deployed to obtain the transient solution to a Markov chain problem is an important part of this process. The present paper introduces a novel Ordinary Differential Equation (ODE) approach to solve the Markov chain problem. The probability distribution of a continuous-time Markov chain with an infinitesimal generator at a given time is considered, which is a resulting solution of the Chapman-Kolmogorov differential equation. This study presents a one-step second-derivative method with better accuracy in solving the first-order Initial Value Problem

In the light of what is witnessing in the advertising arena of new ways and methods in delivering advertising message to consumers by finding new outlets to communicate with them especially through social networking sites, which became the first choice of advertising companies in order to spread its goods and services. These companies now are relying gradually on celebrities to appear with their products and goods to drive the audience's  attention towards them. The thesis aims to find out the attitudes of young people towards the the advertisements that show famous celebrities on social networking sites. The researcher used survey method which aims to record, analyze and interpret the phenomenon after collecting the necessa

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In this research, a selection of some mineral water was selected on the basis of being the most marketed by the owners of shops in Najaf province, with six types, where daily samples of this water were taken by 50 ml for two months from (1/11/2018 -1/1/2019). The following ions concentrations were measured (Br-, Cl-, F-, NO3-, SO42-, Na+, K+, Ca2+, Mg2+), pH and the electrical conductivity were measured and the results were compared with the allowable rates according to the international organizations. It was noted that they conform to international and Iraqi standards.

The researcher chose her research which is imprinted ( the mechanism of employing the numbered personality in structuring scientific imaginary movies) because it’s found in modern employing of the numbered personalities of the movies that are designed by computers which made the directors and the producers to exploit these numbered development technologies in designing numbered personalities, in order to make them heroes instead of the actual actors in the cinema scene, it’s divided the research to five chapters, the first chapter, the methodical fine which includes, the problem of the research, the aim of the research includes, the importance of the research and it’s details, and the chapter concludes limiting the important terms,

This research studies the effectiveness of the symbol in the Iraqi monodrama texts. The methodological framework is devoted to the research problem and the need for conducting it, its importance, the purpose of research, and the definition of the most important terms. The research problem dealt with the concept of the effectiveness of the symbol, the monodrama, and the working levels of the symbol in the monodrama texts of the author, in addition to the disclosure of the artistic vision embodied by the playwright in the use of the symbol within the literary product, as well as the development of the creative process. The research problem was defined by the following question: How effective is the symbol in the Iraqi Monodrama texts?
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Economists agree upon the importance of exports and their positive impacts on the economic variables. Therefore، they studied policies encouraging exports and set out the instrumentalities supporting them. These instrumentalities included a combination of fiscal، monetary، commercial، production policies like the tax policy that is encouraging to the exports، exchange rates reduction، establishing commercial free zones، better production quality، fostering investment climate، and preparation of the necessary financing before the exporting process and afterwards.

This research is interested in the finding aspect amongst the instrumentalities encouraging exports which is parallel t

        The purpose of this research is to highlight the nature of the relationship between the mental abilities of decision makers and strategic orientation . The intellectual capacity of decision-makers is the cornerstone for the implementation of all the tasks and duties of the Organization and constitutes the most important of its capabilities. As a result of the sharp changes in the environment in which it operates, this organization must accurately define its strategic directions to ensure its

survival and continuity. The problem of field research was to answer a fundamental question: Is the Iraqi director aware of how to employ mental abilities in strategic direc

Approaching the turning of the millennium, the American theatre witnessed an arousing
interest much shown in patients suffering of severe diseases as a subject matter to drama. In a
discussion of Margaret Edson's Wit, the light is shed on how far such patients, who were literally
involved in secular visions during their life-time, become apt to create a different one on their
death beds. The vision newly blossomed becomes much rooted in the spiritual life; it is a
redemptive vision that can amend what those patients' hearts and minds have long ignored.
Further, the human touch that has been ignored during man's healthy secular life is ultimately
needed for the time being. It helps to enhance man's vision towards the

The research problem is that the traditional methods of internal auditing are somewhat heavy with long and rigid procedures for the members of the audit process team, especially in light of the current developments that are reflected in the business environment and internal audit reports, so it is necessary to reconsider the traditional internal audit work method and assess the extent of its development by agile methods to reduce the time of the audit process on the activities and elements that add value and direct the effort and time to the activities and elements that add value to the work of the economic unit and the report of the internal auditor.

The research aims to study the possibility of applying agile internal auditing