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Sum of Squares of ‘n’ Consecutive Carol Numbers
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The discussion in this paper gives several theorems and lemmas on the Sums of Squares of  consecutive Carol Numbers. These theorems are proved by using the definition of carol numbers and mathematical induction method. Here the matrix form and the recursive form of sum of squares of  consecutive Carol numbers is also given. The properties of the Carol numbers are also derived.

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Publication Date
Tue Jan 10 2023
Journal Name
College Of Islamic Sciences
The Approach of Sheikh Abdul Qadir Al-Muhajir in Proving the Existence of God through his book (Rafa’ Al-Hajib fi Sharh ethbat Al-Wajib) An analytical study
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This research is drawn from a doctoral dissertation, studying the approach of Sheikh Abd al-Qadir al-Muhajir al-Sanandji al-Kurdi (1303 AH) on the issue of proving the existence of God Almighty.
Sheikh Abd al-Qadir al-Sanandji was one of the scholars well versed in mental sciences. He has many books, all of them in the sciences of speech and wisdom, and among his books is the book (Raising the Eyebrow in Explanation of Ithbat al-Wajib), which is still a manuscript that has not been printed.
Through this book, the researcher studied the evidence of Sheikh Abdul Qadir to prove the existence of God Almighty, and compared it with the evidence of philosophers and theologians.
At the beginning, he presented a study on the import

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Publication Date
Wed May 01 2019
Journal Name
Journal Of Engineering
Determination of the Optimum formula for Composite Motor Gasoline Octane Number Blending Enhancer
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To decrease the dependency of producing high octane number gasoline on the catalytic processes in petroleum refineries and to increase the gasoline pool, the effect of adding a suggested formula of composite blending octane number enhancer to motor gasoline composed of a mixture of oxygenated materials (ethanol and ether) and aromatic materials (toluene and xylene) was investigated by design of experiments made by Mini Tab 15 statistical software. The original gasoline before addition of the octane number blending enhancer has a value of (79) research octane number (RON). The design of experiments which study the optimum volumetric percentages of the four variables, ethanol, toluene, and ether and xylene materials leads

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Publication Date
Sun Mar 05 2017
Journal Name
Baghdad Science Journal
Notes on Traces of a Symmetric Generalized (?, ?)-Biderivations and Commutativity in Prime Rings
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Let R be a 2-torision free prime ring and ?, ?? Aut(R). Furthermore, G: R×R?R is a symmetric generalized (?, ?)-Biderivation associated with a nonzero (?, ?)-Biderivation D. In this paper some certain identities are presented satisfying by the traces of G and D on an ideal of R which forces R to be commutative

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Publication Date
Sun Dec 31 2023
Journal Name
College Of Islamic Sciences
Hadiths about fasting at the beginning of the months, in compilation and criticism
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This research included the hadiths in which the urge to fast the month of the month, or the beginning of the month, and followed the inductive approach to collecting hadiths, and the critical approach in their studies, and in the weighting of the right from the faces contained in it, and one of the most important results of the research is the agreement of the words of the people On the whiteness, whether it is a little or a lot, the rush of the month will be the first three nights, where the moon white is a little, and they also agreed that the middle three are called the white days, and that the release of the rage on them for the whiteness of its nights, where the moon is complete, and the Prophet has been proven. May God bless him an

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Publication Date
Sat Oct 01 2011
Journal Name
Iraqi Journal Of Physics
The Electric Energy Generation Approach of the Energy Saving House Using Photovoltaic System
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This paper describes a research effort that aims of developing solar models for housing suitable for the Arabian region since the Arabian Peninsula is excelled with very high levels of solar radiation.
The current paper is focused on achieving energy efficiency through utilizing solar energy and conserving energy. This task can be accomplished by implementation the major elements related to energy efficiency in housing design , such as embark on an optimum photovoltaic system orientation to maximize seize solar energy and produce solar electricity. All the precautions were taken to minimizing the consumption of solar energy for providing the suitable air-condition to the inhibitor of the solar house in addition to use of energy effici

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Publication Date
Fri Jan 01 2016
Journal Name
International Journal Of Advanced Scientific And Technical Research
Topological Generalizations of Rough Concepts
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The importance of topology as a tool in preference theory is what motivates this study in which we characterize topologies generating by digraphs. In this paper, we generalized the notions of rough set concepts using two topological structures generated by out (resp. in)-degree sets of vertices on general digraph. New types of topological rough sets are initiated and studied using new types of topological sets. Some properties of topological rough approximations are studied by many propositions.

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Publication Date
Mon Apr 01 2013
Journal Name
International Journal Of Mathematical Archive
ON GROUPS OF GEOMETRIC FIGURES
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In this paper we introduce the basic of definitions of groups for geometric figures; we describe some of geometric figures by using the properties of groups. The classification of some geometric figures by using the properties of some algebraic structures.

Publication Date
Fri Jun 30 2023
Journal Name
Journal Of The College Of Education For Women
Knowledge purification of Kindergarten Children
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The research is concerned with the problems of knowledge purification of kindergarten children by verifying its aims, identifying of knowledge purification among the first level of kindergarten children and the second level of kindergarten children, and the differences between the males and females in the variable of knowledge purification. The research community included the children in the state and private kindergartens in Baghdad governorate, on its two sides, Karkh and Rusafa, for the six districts for the academic year 2022-2023. After making the knowledge purification test according to the scientific steps of test constructions, the test has been presented to a group of experts specialized in the field of kindergarten to ascertain

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Publication Date
Fri Mar 30 2001
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Nucleation Kinetics of Ammonium Perchlorate
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Publication Date
Sun Dec 02 2018
Journal Name
Journal Of The College Of Education For Women
Psychological Views of Ibn-Aljawzi
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           The researcher found that neglecting our Arab Islamic heritage and bragging about what the West came in the field of education and psychology is common in our curriculum

So the researcher found it necessary to identify the thought of our media Arab Muslims like Ibn Al-Jawzi being a remarkable figure in the world of human thought therefore, the researcher in this research decided to identify his educational and psychological ideas and psychological emotions in his mind and methods of control and characteristics of the human soul and methods of development of the Muslim character by following the descriptive analytical approach.

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