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 Problems (IVPs) compared to other approaches found in the literature, which is verified by the obtained solutions. The determination of the transient solutions for Markov chains is presented using the proposed method. The results show better accuracy in solving the transient distribution in Markov chains, which implies that there is an improved assurance in adopting this approach in future studies of the Markov chain modeling process for predicting future events based on the current state of a process. Future studies on Markov chain modeling could adopt the introduced method to predict future events based on the current state of a process.
A great abbey in the Shari'a, and is therefore destined to be preserved in many texts and by methods
There are many prayers in the Qur'an and Sunnah to encourage them
They have a clear relationship with the preservation of the purposes of the Sharia in general, and with a purpose
Save the mind in particular, but the scholars - the mercy of God - when they declare that the costs of Sharia
Due to the preservation of my intentions in the creature, they limit their words to orders and intentions, and are not exposed
In particular,
If they were included in the texts of the Shariah and Tawjiyatiya,
To be related to the preservation of the purposes of the law, which confirms the words of the former leaders, and light the li
Necati Cumalı, the Turkish writer and poet, was born on the 13th of January 1921. The Origin of his name coincides with the same Friday where an airplane crush accident happened inside the borders of Greece where he used to live. He was one of the 20th century most prominent writers whose fame lasted for 80 years until his death on the 10th of January 2002.
Although Necati Cumalı worked in various literary fields such as short stories, novel, drama, and critical analysis, he was often known as a poet. His poetry celebrates highly elevated emotions to love and nature in unique lifestyle that displays his delightful diction. The p
... Show MoreEdward Albee, as a playwright, indicates that art should be useful and have a message. Therefore, his work foregrounds and critically examines issues concerning the Neurosis of Blackness and psychological trauma. Albee uses cruelty of racism in reflecting psychological trauma and emotional abuse of American black identity in his plays. Race, social inequality, and gender still sustain to engender controversy audience consciously. Racial discrimination is one of the major issues that affect the American Society. Albee challenges and exposes the presumptive dreams of equality of American society and institutional racism. Therefore, one of the main problems of the twentieth century in America is skin color. It
... Show MoreBACKGROUND: Mental health problems are reflected and linked to human behavior in many aspects. Medical students are susceptible to a wide variety of events that compromise their mental well-being, social life as well as their academic achievements. AIM: This study aimed to find the impact of social support on medical students’ behavior in Iraq via assessing their depression, anxiety, and stress status. METHODS: A cross-sectional online survey-based study targeted all medical students in Iraq. The employed questionnaires covered mental health status of participants by evaluating their perceptions of depression, anxiety, and stress using. Data were analyzed using the Statistical Analysis System. RESULTS: The study revealed a signifi
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The aim of the research is to demonstrate the role of uncertainty in adopting the general requirements for the strategic environmental assessment of service departments in Babil Governorate and the Environment Department. By focusing on a range of environmental problems, despite the efforts exerted to deal with the environme
... Show MoreThe paper aims at making the Russian reader acquainted with the Iraqi Poet Badr Shakir as-Sayyab, and showing the effect of the village and the city in his soul, the theme which is reflected in his poetry. Therefore, the researcher has translated the verses pertaining to this topic from Arabic into Russian so as to make the Russian reader know the important phases that talk about the village and city. The researcher has concluded that the theme of place, village and city has occupied a good portion of As-Sayyab's poetry, and that he (the poet) hated the city and expressed his wrath against it, because he viewed the city as embodiment of money and the degeneration of man. As opposed to this, As-Sayyab he loved being a farmer, and was
... Show MoreBackground:The technology of nanoparticles has been expanded to many aspects of modern life. Titanium dioxide nanoparticles were of many nanomaterials utilized in biomedical applications. The interactions between nanoparticles and proteins are believed to be the base for the biological effect of the nanoparticles. The oxidation reaction of many substances is catalyzed by oxidizing enzymes called peroxidases. The activity of salivary peroxidase is elevated with periodontal diseases. the aim ofthis study is to examine the action of titanium dioxide nanoparticles on salivary peroxidase activity.Material and method75 participants were enrolled in this study—Periodontitis group with 44 participants and the non-periodontitis group with 31 pa
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