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.
This research is one of the public research aimed at identifying the communication habits and the implications of the content on the communication process, especially as the audience of specialized media is often characterized by effectiveness, depth and active in tracking the media message and interaction with its content. It means such audience is a positive, very active, dynamic, and very alert audience driven by his interests and psychological needs to watch specific programs meet his desires.
This satisfaction can only be achieved through the use of specialized media capable of producing programs that will communicate and interact between the ideas you present and this audience.
The phenomenon of specialized satellit
... Show MoreThe current study aims to demonstrate the role of strategic renewal in enhancing organizational immunity through strategic renewal mechanisms represented by (Reanimating, Rejuvenation, Venturing, and restructuring). The main idea of this study relates to the extent to which organizations’ immunity is achieved through strategic Renewal mechanisms, by measuring these dimensions with Organizational immunity represented by organizational learning, organizational memory, and organizational DNA. The study population was the headquarters of the Iraqi Ministry of Education, and the sample included (330) individuals from the upper, middle, and lower leadership levels. Several statistical methods were used to deal with the results of the questionna
... Show MoreRegulations of changes in Sharia policy
Variables include jurisprudential rulings that may be subject to change, alteration and interpretation, depending on the mujtahid’s view of the ruling, or changing it and switching to another view, and the variables are the crucial issues that befell the nation of Islam. It was not neglected by Islamic legislation, but rather the setting of controls that took into account in every incident the norms, interests and purposes.
In this paper the diagrams and divided power of the place polarization
(k )
ij , with
its capelli identities have been used, to study the complex of Lascoux in case of the
partition (4,4,4).
Praise be to God, who made the pegs of the earth and entrusted them with the task of keeping the earth from tilting, and prayers and peace be upon the one to whom the Qur’an was revealed, Muhammad, and upon his family and all his companions.
The topic of mountains is one of the important topics in human life, as God has associated great miracles with them that indicate the perfection of the power of God Almighty. God Almighty says: (And to the mountains, my palms have turned. This is worthy of every rational person to contemplate His signs, the Almighty, in this solid part and safety belt of the earth, in order to reveal the secrets of the mountains and uncover their treasures. The more the researcher studies the mountains and
... Show MoreThis study covers the area bounded by latitudes 29° to 34° N and longitudes 39° to 48°E.The seismicity of area for the period 1980–2011 is evaluated. In this study the geological and topography were performed, regarding the historical seismicity. More than (145) events were re-analyzed in Iraqi Seismological Network (ISN) and the recorded data was subjected to statistical analysis. This study shows high activity in the east and very low activity in the west.
Fine art represents part of society's culture. The development of art was accompanied by the penetration of new worlds known as the fourth dimension. After art entered the boundaries of geometry and reduction; He began to break into the absurd, and the form and philosophy of art changed, moving from modernity to what came after it to contemporary. Transforming from a formal form into a symbolic form with philosophical implications linked to the light, audio and kinetic effects as they embody time, the concept became the master of the idea. The research aims to identify the concept of time and its types, then the philosophical concept of time and its reflection on contemporary art, through the analytical study of a selection of contempora
... Show MoreThe researcher used the experimental approach due to its suitability and the nature of the research problem. The research community was represented by the eighth-grade students in the Rozak Elementary Mixed School affiliated with the General Directorate of Education in Erbil / the center, for the academic year (2021-2022), the number is (96) students, and the research sample consisted of (63) male and female students, with (31) in the experimental group, and (32) in the control group, and (11) students were excluded by (5) students from the experimental group, and (6) students from the control group, as the excluded, are students who failed and were absent from the lessons, and accordingly, the research sample became composed of (52) mal
... Show MoreFlow unit and reservoir rock type identification in carbonates are difficult due to the intricacy of pore networks caused by facies changes and diagenetic processes. On the other hand, these classifications of rock type are necessary for understanding a reservoir and predicting its production performance in the face of any activity. The current study focuses on rock type and flow unit classification for the Mishrif reservoir in Iraq's southeast and the study is based on data from five wells that penetrate it. Integration of several methods was used to determine the flow unit based on well log interpretation and petrophysical properties. The flow units were identified using the Quality Index of Rock and the Indicator of Flow Zone. Th
... Show MoreIn this research we present An idea of setting up same split plots experiments in many locations and many periods by Latin Square Design. This cases represents a modest contribution in area of design and analysis of experiments. we had written (theoretically) the general plans, the mathematical models for these experiments, and finding the derivations of EMS for each component (source) of sources of variation of the analysis of variance tables which uses for the statistical analysis for these expirements