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.

The sciences related to the Book of God are many, and the benefits of every science in it are abundant, and among those sciences is the science of readings, which is for the sake of science and the most honorable, due to its strong attachment to the Book of God Almighty. From this care, and aims to show the attention of scholars to the science of readings in general and the scholars of the fifth century in particular, as the literature on it abounded until it became the principal for those who came after them.
The research consists of an introduction that includes the objectives of the research, the reasons for choosing it, previous studies, research questions, and research terms, then a preface dealing with the im
... Show MoreThe concept of narration stems from the connotation of continuous communication through which narration is manifested as a message that is exchanged between the sender and the recipient, and that narration is an educational conceptual necessity, representing the philosophy of intellectual inclusion achieved in a direct speech to the mind, but it is encapsulated in a colorful frame that attracts the soul and attracts attention, and the graphic narration is a speech A visual based on the basis of interference and sequence of the event in weaving the elements in a consensual way through a continuous communication process that begins with the embodiment of an event - an important event - to the recipient, in which an intellectual employment
... Show MoreThe present study aimed at identifying the level of psychological alienation and motivation of achievement among the incoming teachers in the schools of Dhofar Governorate in the Sultanate of Oman a well as to explore the correlation relationship between psychological alienation and motivation of achievement. The sample of the study consisted of (238) expatriated teachers from Al- Dhofar Governorate in Oman who were selected randomly. The psychological alienation scale and the motivation of achievement scale for teachers were used by researchers and were conducted electronically by google forms. The data were processed statistically using the Statistical Package for Social Sciences (SPSS). The results showed that the level of psy
... Show MoreThe aim of this study is to get practical evidence from the Egyptian business environment The Impact of Audit Committees Effectiveness and External Audit Quality on Timeliness of annual Financial Report. Design and methodology: The study based on the content analysis technique to examine the annual reports of a sample of (30) companies listed on the Egyptian Stock Exchange (EGX100) during the period (2016-2019) with a total of (120) respondents. To test the research hypotheses, the results of the study indicate that there is a negative significant impact of audit committees on timeliness of annual financial report. Moreover, while there is a negative impact on the quality of the external audit on the timing of issuing the annual
... Show MoreThe study was planned to evaluate the effect of adding Guanidinoacetic acid in some characteristics of the sperm of the rams. This study was conducted in the animal field of the Animal Production Department / Faculty of Agricultural Engineering Sciences / University of Baghdad, for the period from 5/8/2018 to 28/2/2019. In this experiment, 3 rams were used at the age of 2-2.5 years and weighed 50-54 kg. The semen was collected early in the morning and once a week and the semen was pooled to remove the individual differences. The treatments were divided: GAA-free control group, treatment T1 (0.05 mg / 100 ml GAA), T2 treatment (0.1 mg / 100 ml GAA) and T3 treatment (0.2 mg / 100 ml GAA). The results of the study showed a significant decrease
... Show MoreThe main idea of this research stems from the challenges faced by managers working in service organizations, which are responsible for providing services to a large segment of the society. Therefore, they must use strategic intelligence to manage their performance and enhance their performance to serve the society. Organizational Performance The present study aimed to identify the concepts of strategic intelligence and its impact on organizational performance to raise awareness and awareness of the importance of the subject for the university. And to identify the perceptions of leaders about strategic intelligence and determine the nature of the relationship (impact and correlation) between strategic inte
... Show MoreA survey to show the reality of educational guidance in schools in Baghdad Rusafa 3\ from the point of view of educational guides. It used the analytical descriptive technique. The research community consists of () male and female advisors in schools of Baghdad. The sample was haphazard( 51\.) The questionnaire was made and it consists (50) items. The research statistics have been analyzed by (SPSS), The questionnaires have been used in the first term in (2017-2018) and the results showed the relationship between the advisor and other teachers, the advisor and students fathers and the local society. According to the results, the research made some recommendations and suggestions.
The research focuses on addressing one of the most important concepts of modern management that deal with the relationship between government institutions and stakeholders, Which now occupies a special significance in trends modern management, a concept of corporate governance it takes the internal mechanisms due to its key role and is important in the process of corporate governance and looking for building Effective mechanisms for this concept in light of laws and regulations that are available in the local environment and on the functioning of government institutions, Search has been applied in the Federal Board of Supreme Audit of Iraq (BSA) due to its particular importance as an institution control and as a awaits the societ
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