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Solving the multi-criteria: total completion time, total late work, and maximum earliness problem
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Within this research, The problem of scheduling jobs on a single machine is the subject of study to minimize the multi-criteria and multi-objective functions. The first problem, minimizing the multi-criteria, which include Total Completion Time, Total Late Work, and Maximum Earliness Time (∑𝐶𝑗, ∑𝑉𝑗, 𝐸𝑚𝑎𝑥), and the second problem, minimizing the multi-objective functions ∑𝐶𝑗 + ∑𝑉𝑗 +𝐸𝑚𝑎𝑥 are the problems at hand in this paper. In this study, a mathematical model is created to address the research problems, and some rules provide efficient (optimal) solutions to these problems. It has also been proven that each optimal solution for ∑𝐶𝑗 + ∑𝑉𝑗 + 𝐸𝑚𝑎𝑥 is an efficient solution to the problem (∑𝐶𝑗, ∑𝑉𝑗, 𝐸𝑚𝑎𝑥). Because these problems are NP-hard problems so it is difficult to determine the efficient (optimal) solution set for these problems so some special cases are shown and proven which find some efficient (optimal) solutions suitable for the discussed problem, and highlight the significance of the Dominance Rule (DR), which can be applied to this problem to enhance efficient solutions.

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Publication Date
Wed Jun 03 2020
Journal Name
Political Sciences Journal
Transitional justice: a study of the concept and mechanisms
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The concept of transitional justice is newly emerging, as it was mainly associated with addressing issues of serious breaches and abuses of human rights during conflicts and situations resulting from violence and the use of force in societies that are in the process of democratization, as transitional justice aims primarily to restore civil peace and rebuild institutions The state needs multidimensional justice: a judicial system that achieves the rule of law, corrective restoration of the wounds of the past, and a distributive characteristic of the redistribution of wealth.

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Publication Date
Thu Jul 01 2021
Journal Name
Civil Engineering Journal
The Cognition Role to Understanding Planning and Architectural Production
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This paper focuses on the concept of cognition and its clarification in the light of Islamic epistemology. Knowledge passes through two essential parts: conception and assent. Conception explains simple knowledge, while assent explains knowledge involving a judgment. The paper proceeded with the identification of the problem of relationship blurring between cognition and knowledge. The external and inner senses have explained the relationship between the stages of knowledge and cognition. The external senses receive stimuli and form primary conceptions. These conceptions transfer to the first part of the inner senses, which is common sense; it collects the sensations and transmits them to pictorial power. Secondary conceptions are f

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Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Interdisciplinary Mathematics
Enforcement for the groups SL(2,125) and SL(2,3125)
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The group for the multiplication of closets is the set G|N of all closets of N in G, if G is a group and N is a normal subgroup of G. The term “G by N factor group” describes this set. In the quotient group G|N, N is the identity element. In this paper, we procure K(SL(2,125)) and K(SL(2,3125)) from the character table of rational representations for each group.

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Publication Date
Mon Oct 02 2023
Journal Name
Journal Of Interdisciplinary Mathematics
Score for the groups SL(2,121) and SL(2,169)
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A factor group is a mathematical group obtained by aggregating similar elements of a larger group using an equivalence relation that preserves some of the group structure. In this paper, the factor groups K(SL(2,121)) and K(SL(2,169)) computed for each group from the character table of rational representations.

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Publication Date
Wed Feb 20 2019
Journal Name
Iraqi Journal Of Physics
The solar eclipse and its relation with higree months
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The solar eclipse occurs at short time before the crescent birth moment when the moon near any one of moon orbit nodes It is important to determine the synchronic month which is used to find Higree date. The 'rules' of eclipses are: 

Y= ± 0.997  of Earth radius , the solar eclipse is central and 0.997 < |Y| < 1.026 the umbra cone touch the surface of the Earth, where Y is the least distance from the axis of the moon's shadow to the center of the Earth in units of the equatorial radius of the Earth.

A new model have been designed, depend on the horizontal coordinates of the sun, moon, the distances Earth-Moon (rm), Earth-sun (rs) and |Y| to determine the date and times of total solar eclipse and the geogra

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Publication Date
Thu May 03 2018
Journal Name
Kne Engineering
Clarity and Visual Ratios of the Vibrant Place Making
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Clarity and Visual Ratios of the Vibrant Place Making

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Publication Date
Sun Feb 10 2019
Journal Name
Journal Of The College Of Education For Women
The Relations Between Ottoman State and Egypt (1863 – 1879)
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Facts and information contained showing in axes Find Egyptian Ottoman relations
(1863-1879), has gone through stages varying between tides, has witnessed the Khedive
Ismail three sultans Ottomans were Abdul Aziz Murad V, Abdul Hamid II, and since the
Khedive Ismail to judge sought to expand independence Egypt access to many privileges of
the sovereign on Egypt Ottoman Empire, in order to reach the country to independence, has
been chosen by the payment of money and gifts to gain independence, without resorting to
arms, and from this point of Khedive make a lot of money to get the privileges, the state of
the Ottoman were not to issue Farmans but against the huge amounts of money, and as a
result of that policy got

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Publication Date
Wed Dec 11 2019
Journal Name
Journal Of The College Of Education For Women
Quranic and Sunnah Educational Principles of the Muslim Child
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Child's personality development in Islam, in fact, represents the building of the Islamic community and a step on the way for the establishment of life, state, law, and civilization in accordance with the blessed Islamic principles, in order to achieve the happiness of the human being and to protect the components of society and preserve human safety. Child is the issue of interest across many years.  Paying heed to childhood issues is not a recent one. The faith of these communities in the child's rights and his education, which makes a man who cherishes himself and his language and homeland.

     The success of Islamic goals, the happiness of the individual and the

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Publication Date
Wed Feb 05 2020
Journal Name
Political Sciences Journal
The Future of Palestinian identity under occupation and resistance
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Summary

The conflict between Arab and Zionist movement before 1948 was not normal dispute about certain issue or quarrel on borders, it is comprehensive conflict, this research intraduce analytical and outlook future reading about Palestine identity in time of occupation and resistance in the first studying we take the concept of identity and the fundamental relationship identity history and geography. Our research treated the contents of palest Iain and Isralian identsunder. The political, cultural and military conflict between Israil and Palestine. The research introduce analytic study of research introduce analytic study of intellectual orientation of Zionist state in order to determine the exact meaning of this identity, beca

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Publication Date
Sat Dec 01 2012
Journal Name
Journal Of Economics And Administrative Sciences
Financial corruption and investment opportunities in the Iraqi economy
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Corruption is one of the barriers to economic growth and investment opportunities, and after the most serious security and stability, that corruption plagued the Iraqi economy is striking and has roots since the eighties of the last century to the present day.

The study aimed to identify practical impact of corruption on investment in the Iraqi economy and revealed the possibilities and obstacles to investment in Iraq and clarify the investment opportunities at the level of Iraq and the impact of corruption on investments.

The focus will be on the statement of the extent of corruption and investment in Iraq and the adoption of the style of economic measurement using cross-section

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