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 scientific and technological developments and their practical applications in all fields of life in general and in the education field in specific have led to the emergence of variables in the educational structure, teaching methods and in education in their modern form which is consistent in its entirety with the spirit of the age. We today live the age of knowledge increase full of wide ranging scientific and technological developments. Thus life demands human capabilities of a special kind able to develop and innovate. Here the increasing significance emerges for taking care of the human powers through educational systems much different from those current traditional systems. System
... Show MoreThe research aims to shed light on the role of E-Audit in raising Independence and professional competence of the external auditor, the study has been applied on a sample of the branches of the Rafidain Bank n have been addressed research topic beside the theoretical, as put forward by the literature of accounting, audit and that the contents of the section first, either the practical side was required to test the hypotheses use form questionnaire, which was distributed to a sample of the external auditors and bankers research sample. He has applied for his part in the search for a standard of independence and professionalism of the external auditor and the factors influencing these standards, and the most import
... Show MoreCorruption has become the subject of great interest, and the subject of research and scrutiny in recent years, because of its penetration in all fields of life, whether these fields are political, economic, social, and administrative. It is one of the biggest challenges and problems that are facing communities. Therefore, this study is focused on the evaluation of measures implementing the national strategy to combat corruption in Iraq.
This study was launched, first because of its intellectual dimensions to ensure a conceptual presentation of the strategy and operational management in general with a special focus on the processes of implementation and control str
... Show MoreBackground: One of the unique prosthesis for tooth or teeth replacement is the dental implant. Our attempt is using a biomaterial system that is easily obtained and applicable and has the ability to provoke osteoinductive growth factor to enhance bone formation at the site of application. One of these natural polymers is hyaluronic acid. Material and methods: Sixty machined surface implants from commercially pure titanium rod inserted in thirty NewZealand rabbits. Two implants placed in both tibia of each rabbit. The animals scarified at 1, 2 and 4 weeks after implantation (10 rabbits for each interval). For all of animals the right tibia’s implant was control (uncoated) and the left one was experimental (coated with 0.1ml Hyaluro
... Show More
The aim of the current research to determine the extent of logical intelligence in the book of chemistry for the fifth grade of science and to achieve the goal the researcher has prepared a special criterion in the areas of logical intelligence main and sub-to be included in the book after reviewing the previous literature and studies in this regard may be the final form after presentation to experts and arbitrators in the field of Educational and psychological sciences, curricula and teaching methods from (3) main areas and (21) sub-fields, then the researcher analyzed the book Bibih and applied branches and adopted the idea of both explicit and implicit as a unit of registration and repet
... Show MoreThe research problem stems from a chief question: “What is the nature of the responsibility that «Al-Sabah Al-Jadeed» and «Al-Mada» Newspapers have undertaken in promoting the values of citizenship and national belonging in the society? The research aims to achieve a number of goals, including: Determining the most prominent themes that were emphasized in the opinion articles in these two newspapers within the framework of the responsibility of promoting the values of citizenship and national belonging in society, and revealing the most prominent topics that were discussed in opinion articles in the two sample newspapers regarding the promotion of the mentioned values. This research is a desc
... Show More