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

The study aims to demonstrate the significance of metaverse technology across various disciplines, academic degrees, scientific fields, and academic titles. It also aims to assess the level of knowledge and understanding of university teachers (research sample) regarding metaverse technology. Hence, the descriptive research methodology was based on the method of statistical survey in the sample. It involved a set of organized scientific steps to deduce data from the reality of the statistical sample and its nature in order to achieve the objectives of the study. In this study, a questionnaire was used as a tool to collect data from a random sample of approximately 121 teachers and instructors from the University of Baghdad. This app

Unter Exilliteratur versteht man „die literarische Produktion von Autoren, die wegen politischer, religiöser oder rassistischer Verfolgung gezwungen sind, sich an einem anderen als dem von ihnen gewünschten Lebens- und Arbeitsort aufzuhalten.“[1] Deswegen unterscheidet sich „Migration“ von „Exil“ dadurch, dass sie freiwillige Auswanderung ist. Bereits in der Antike und auch im Mittelalter gab es Schriftsteller, die vor Zensur oder politischer Verfolgung ins Exil geflohen sind, wie zum Beispiel der griechische Satiriker des 

It is from the greatness of God Almighty and from him that he facilitated for me to delve into the immersion of the hadith of the Prophet in my doctoral dissertation, then I found it a fertile ground for the cultivation of scientific results.
Through this work, I chose the topic (Replies of Al-Aini to Ibn Malik in his book Umdat Al-Qari Sharh Sahih Al-Bukhari) because of its scientific impact, as such topics inspire in the soul of the follower and the student a lot of contemplation and great care to understand the texts and then come up with a result that is almost close. It is correct, and my current situation in this research is the condition of many scholars, not without errors and omissions. Whatever was correct is by the grace of

Arab heritage have teem much of the literature value, written by evacuated, who had a legacy of linguistic great scientists, but the circumstances are unknown, did not write those books or authors emerge, chose to search for a book of those compositions, he did not write to him and his book emerge, fell hands a book (Altvsh in the language) to Abu Sufyan grammar, a fourth-century scientists, as it is Abu Sufyan grammar of scientists who rolled up the time their impact, and the cryptic revelations among the stars, preferring to stand on this book and its author, a statement of the most important grammatical aspects contained therein; to notch the curtain for this world, and his book (Altvsh in strewn language and Mnzawmha and express the

Post-structural critical studies highlighted the importance of studying the texts surrounding the text as an important part in the process of receiving and understanding texts, and although this topic was dealt with by the ancient Arabs and Europeans, interest in it appeared clearly after the appearance of Gerard Genet's book (SEUILS), which separated it Text Thresholds. Or what he called paratexte, and dealt with them with interest as he reads them on books. With the development of semiotic studies, interest in paratexte studies began in a broader way and in various literary and non-literary texts, including journalistic texts. And since specialized magazines are one of the press releases that enjoy their privacy in terms of topics and

This research was conducted to determine content levels of heavy metal pollution. Samples taken from Ishaqi River bank and adjacent agricultural soils area, in ten sites, distributed along 48 km of the Ishaqi River, north Baghdad. The evaluated metals were Zinc, Copper, Manganese, Iron, Cobalt, Nickel, Chromium, Cadmium, Vanadium and Lead. PH and Electric Conductivity (EC) were measured to evaluate the acidity and (EC). Results showed that most site were contaminated with metals evaluated. Among these metals, Zn, Mn, Fe and Ni were consistently higher in all the samples (both river bank and adjacent soil) followed by PB, CU, V, Cd, Co and Cr. The level concentrations of river bank were almost higher than that of adjacent soil. As will be re