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Application of the One-Step Second-Derivative Method for Solving the Transient Distribution in Markov Chain
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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.

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Publication Date
Mon Dec 22 2025
Journal Name
Journal Of Physical Education
The Effect of Special Exercises for Developing Transitional Speed of Field Referees in Iraqi Soccer Primer League
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Publication Date
Wed Dec 30 2020
Journal Name
Al-kindy College Medical Journal
The immediate and late results for balloon angioplasty of native coarctation of aorta in pediatrics age group
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Background: percutaneous balloon dilation of corotation of aorta is a less invasive and alternative to surgical repair for patients with discrete coaction of aorta and although the used of balloon angioplasty in patients with recurrent postoperative coarctation gained a wide consensus, the use this technique for native coarctation is still controversial in children less one years. 

Objective: to evaluate the immediate and late result of balloon dilation of native coarctation of aorta in infant and children.

Type of the study: A prospective study. 

Subjects & Methods: The study was done on forty-five patients who were referred for cardiac catheterization and balloon

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Publication Date
Thu Jun 29 2017
Journal Name
College Of Islamic Sciences
The prohibition of cheating in the Sunnah of the Prophet
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In The Name of Allah Most Gracious Most Merciful

Cheating is one of the forbidden actions and reprehensible morals that are forbidden by Islamic law, because it involves an assault on rights, whether they are the rights of God Almighty or the rights of God.

people, or self-rights, and because it involves harming others.

Since the Sunnah of the Prophet is the second source of Islamic law, many of the noble hadiths of the Prophet forbid and prohibit cheating.

This study sheds light on it.

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Publication Date
Sat Jan 12 2019
Journal Name
Journal Of The College Of Education For Women
Strategic Analysis for the Grain Grinders' establishments in Baghdad governorate and problems suffered by the industry, along with the possibility to predict its products
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Geography of industry has been considered a branch of important economic geographical branches. This importance has been regarded as a reflection on the industrial sector contribution in economies of any state since they contribute into the total national product ; it also assimilates a huge number of labor hands . The industry of grains grinding has been considered as one of the main food industries having a main role in satisfying the need of the population from the foods. The industry is continued to use the food as daily meal . Here, it should predict the population in Baghdad and for every district until the end of 2025 and knowing either these grains grinders are able to meet and satisfy the needs of populations of flours, making s

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Publication Date
Sat Jun 01 2013
Journal Name
Journal Of Economics And Administrative Sciences
Evaluation of Integrated Information Technology System in Organizations “Exploratory Comparative Search for opinions of sample of Workers in the Faculties of Science & Education AL- Asma'I at the University of Diyala
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       The subject of the information technology system ( ITS ) of the important issues And contemporary thought in management, and various types of organizations seeking to apply and try to

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Publication Date
Mon Jan 01 2018
Journal Name
Journal Of Engineering And Applied Sciences
Estimation of concentration of radioactive elements for the Liquid Waste pool in radiochemistry laboratories in Al Tuwaitha site Baghdad-Iraq
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Publication Date
Thu Mar 01 2012
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The Commitment of Public Companies in disclosure requirement of Financial Statement: Analysis Study in State Company for Leather Industries (SCLI)
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It has been an increase concern of scientific and professional accounting sides on disclosure especially after appearance of business firms and accounting development with its relationship to financial statements which are considered to be outputs of the activity results.  The preparing of financial statements and auditing of those accounts according to normal principles and standards of accounting on both local and international levels. Accounting disclosure can be seen an importance through discover all fundamental and necessary information for proper supply. Therefore, the research will highlight on public companies commitment in Iraq for basis and standards which have taken disclosure in financial data. The conceptual frame of t

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Publication Date
Sun Oct 01 2017
Journal Name
Journal Of Economics And Administrative Sciences
The role of Job Engagement for Employees in ensuring customer loyalty :Applied research in a Sample of private Iraq banks
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ABSTRACT

      The current research aims at highlighting the role of engagement of a sample of employees who works in some of the Iraqi private banks in terms of their interaction , commitment and enthusiasm and the positive impact they own regarding their job and devote their efforts to achieve the core purpose  which is customer loyalty. The problem was expressed through a number of intellectual and practical questions.

In order to achieve the aim of the research the quantitative analytical method was used depending on a questionnaire as a basic tool to collect research data and the qualitative survey method depending on semi-structured interviews which were distrib

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Publication Date
Mon Feb 04 2019
Journal Name
Iraqi Journal Of Physics
Evaluated the level density for proton induced nuclear resonances in (P+48Ti) reaction using different models
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The experimental proton resonance data for the reaction P+48Ti have been used to calculate and evaluate the level density by employed the Gaussian Orthogonal Ensemble, GOE version of RMT, Constant Temperature, CT and Back Shifted Fermi Gas, BSFG models at certain spin-parity and at different proton energies. The results of GOE model are found in agreement with other, while the level density calculated using the BSFG Model showed less values with spin dependence more than parity, due the limitation in the parameters (level density parameter, a, Energy shift parameter, E1and spin cut off parameter, σc). Also, in the CT Model the level density results depend mainly on two parameters (T and ground state back shift energy, E0), which are app

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Publication Date
Wed Jan 01 2020
Journal Name
Plant Archives
Response of some vegetative growth characteristics of organically fertilized potatoes to zinc and manganese foliar application
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