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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
Thu Jun 01 2023
Journal Name
Journal Of Namibian Studies
consciousness of green nanotechnology among chemistry scholers at the College of Education for Pure Sciences, Ibn al-Haytham in Iraq
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Publication Date
Tue Jan 01 2019
Journal Name
Biochemical And Cellular Archives
The diagnostic validity of P16<inf>INK4A</inf> for cervical carcinoma in a group of Iraqi women infected with HPV
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Scopus
Publication Date
Sun Sep 27 2020
Journal Name
Iraqi National Journal Of Nursing Specialties
Evaluation of Health Promotion Program for the Prevention of Epidemics at Primary Health Care Centers in Baghdad City: Comparative Study
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Objective(s): To evaluate and compare between Health Promotion Program for the Prevention of Epidemics at Primary Health Care Centers in Baghdad City.

Methodology: A descriptive study, using the evaluation and comparative approaches, is conducted to evaluate health promotion program for the prevention of epidemics at primary health care centers in baghdad city from October 15th  2019 through March 1st 2020. A purposive, non-probability, sample of (42) health promotion unit officers were recruited from the same number of primary health care centers which were divided into (14) main, (14) sub and (14) family medicine primary health care centers i

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Publication Date
Fri Dec 27 2024
Journal Name
Epitheorese Klinikes Farmakologias Kai Farmakokinetikes – Greek Edition
Response surface optimization and in vitro study of nasal solusomes nanovesicles for the bioavailability improvement and brain targetting of sumatriptan
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Background: One effective second-generation triptan for migraine attacks is sumatriptan. Following oral use, it has a 40% restricted bioavailability because of the first-pass metabolism. Aim: To develop the best intranasal Solusomes formula as a substitute that delivers into the brain directly, improving its bioavailability, and removing the first-pass outcome was the aim of this effort. Methodology: We developed solute formulations based on the Box-Behnken design and subsequently produced them via thin-film hydration. The quality by design technique was used to establish a correlation between the formulation parameters (Soluplus® and phosphatidylcholine (PC) concentrations) and signif¬icant quality powers (entrapment efficiency (

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Publication Date
Sun Sep 01 2013
Journal Name
Journal Of Economics And Administrative Sciences
Measure the impact of the age structure of the population on the gross domestic product in Iraq
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   يهدف البحث إلى التعرف على The research aims to identify the effect ofاثر التركيب العمري للسكان على الناتج المحلي الإجمالي في العراق وتحديد الفئات العمرية من أطفال ومنتجين أي من هم في سن العمل والمسنين لأهمية ذلك لإغراض التخطيط الاقتصادي.إنeffectofeee age structure of the population on GDP in Iraq and determine the age groups of children and any of the producers wham are of working age and the elderly of the importance for the purposes of economic planning. نسبة الفئة العمرية Proportion of the age group (00- -4 4سنوات اقتربت من

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Publication Date
Tue Oct 01 2013
Journal Name
Journal Of Economics And Administrative Sciences
The Impact of Exchange Rate Fluctuations on the Behavior of the Stock Markets in the Turkish Economy
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             A discussion about the repercussions of the exchange rate on the behavior of stock markets became one of the basic principles of financial economics. The Istanbul Stock Exchange , considered  one of the fastest financial markets growing in the region, driven by solid economic activity, for a diversified economy  which classified as one of the the fastest growing economies in the world. However, the aforementioned market witnessed sharp fluctuations in the past few months, coinciding with the continuous fluctuations in the exchange rate of the Turkish lira, posing a serious challenge to the economic and investment environment in a c

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Crossref
Publication Date
Wed Aug 20 2025
Journal Name
Journal Of Physical Education
The reality of the physical education lesson in the schools of Baghdad governorate from the point of view of the applied students
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Publication Date
Tue Dec 06 2011
Journal Name
Journal Of Planner And Development
The Development of the planning and architectural thought of the holy city of Kadhimia in line with the spirit of the time
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The evolution of thought, planning for Urban Communities in the second half of the twentieth century, through several successive stages. He was thought of planning urban communities depends on identifying the general plan for land uses of the project area as a basis for drawing charts the physical, social, economic, and put the general plan for land uses based on the terms of reference set by the number of experts in the ministries and agencies. I have lived cities in the Arab-Muslim region, during the transition period the natural and historic environment, urban, sophisticated balanced ways mentioned in the cultural, social, inspired by the teachings of Islam and the customs and traditions of the Arab social, put forth a set of

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Publication Date
Mon Jul 28 2025
Journal Name
Retos
The effect of the beehive strategy on deliberate thinking and learning the setting skill of volleyball among female students at the College of Physical Education and Sports Sciences for Woman
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Objective: Develop a deliberate thinking scale for the setting skill in volleyball for second-year female students in the College of Physical Education and Sports Sciences for Woman. Research methodology: The researchers used the experimental approach, employing a two-group approach (pre-test and post-test), to suit the nature of the research. The research community comprised (65) second-year female students from the College of Physical Education and Sports Sciences for Woman at the University of Baghdad for the academic year 2024-2025. The research sample was randomly selected, with (15) students in Section A, the experimental group, and (15) students in Section B, the control group. This group represented (46%) of the students. Th

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Crossref
Publication Date
Fri Jun 30 2023
Journal Name
College Of Islamic Sciences
The Role Of Atheism In The Demolition Of Societal Security
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The enemies of religion are still following the approach of undermining the Islamic faith in various ways through the diversity of methods of smear campaigns by raising suspicions to obliterate the Islamic identity and threaten security and stability of social life under the Islamic religion in Islamic societies, as we find that they have employed the doctrine of atheistic thought in order to distance people from the path of truth, distort the features of religion, destabilize psychological security and family stability, and thus destroy societal security by questioning the tolerant faith at times, and by raising suspicions at other times.

Hence, this research came to review the legal duty that requires Islamic scholars to protec

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