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.
Semi-empirical methods were applied for calculating the vibration frequencies and IR absorption intensities for normal coordinates of the {mono (C56H28), di (C84H28), tri (C112H28) and tetra (C140H28)} -rings layer for (7,7) armchair single wall carbon nanotube at their equilibrium geometries which were all found to have D7d symmetry point group.
Assignment of the modes of vibration (3N-6) was done depending on the pictures of their modes by applying (Gaussian 03) program. Comparison of the vibration frequencies of (mono, di, tri and tetra) rings layer which are active in IR, and inactive in Ramman spectra. For C-H stretching vibrat
... Show MoreThe Islamic religion is a religion of tolerance and is pleased with worship and other legislation and the idea of peace is an authentic and profound idea related to the call for coexistence with all religions. The Prophet (PBUH) was keen to organize his relations with non-Muslims on the basis of cohabitation, On the basis of love and intolerance, God Almighty says: "If your Lord wants to make people one nation and they are still backward." Surah Hud: 118 Islam has taken care of the people and made them tolerant brothers who sympathize with their different beliefs. Which means that everyone has the right to live, believe and believe what he sees right and have the freedom to perform the acts of worship and beliefs he deems correct. The di
... Show MoreThe aim of the current research is to measure the sense of coherence among individuals with physical disabilities. The researcher adopted a scale of (29) paragraphs spread over three domains designed by Antonovski (1993) to measure the sense of coherence. A sample of (210) disabled individuals was chosen randomly to collect the required data. The data were analyzed using the statistical package for social sciences (SPSS). The result showed a lack of sense of coherence among the sample.
The researcher dealt with the importance of striking proverbs in the Holy Qur’an and their uses and benefits in Islamic education and ethics and between the types of proverbs, so it emerged through the study the following things that the proverbs are of three types: authorized, latent, and transmitted, and it has been shown through the current study that the proverb has conditions that the proverb is not valid except There are five: (realism, clarity, environmental, meaning injury, and good pronunciation). If the example violates these conditions, it is not an example. This study showed that proverbs have a prominent role in persuasion, argument, statement, education, clarity, approximation, education, refinement, correct belief, etc.
... Show MorePurpose: The research aims to determine the relationship between E-Learning and Total Quality Management (TQM) in Educational institutions in Nineveh Governorates.
Methodology / Design: The researchers distributed (30) questionnaires to employees (teachers and administrators) of Nineveh Governorate education who represent the community of the research sample, as they were analyzed using the SPSS V.20
The importance of research: The importance of the research in the fact that it focuses on one of the educational methods represented in integrating the traditional method and relying on modern technologies using computers and the Internet in the field of education to improve the reali
... Show MoreThe research aimed to identify the level of reality of administrative values of sports activities in the Faculties of the university of Baghdad from the point of view of the leaders and those related to the divisions and units of student's activities and the case study method was adopted from the descriptive approach.
The manufacturing industry in Iraq has faced, during the time stages, several obstacles that have had devastating effects on the Iraqi economy. These obstacles are represented by political events and wars that have led to the depletion of most human and material resources and the suspension of most vital industrial facilities from working, And the occurrence of this major deviation in the process of economic development, For the same reasons, the contributions of the manufacturing sector to the gross domestic product varied fluctuatingly, indicating instability in the growth rates of this sector, On the other hand, the supremacy of the belief that the dominance of oil resources as a main source for creating economic growth and achieving a h
... Show MoreBecause asceticism has a great impact on educating the human soul properly, according to what was mentioned in the Book and the Sunnah of the Prophet, and keeping it away from vices and what is devolving into it, and this world and its adornments keep the Muslim away from virtues and work with them in order to reach the Hereafter in which is the eternal bliss that God, peace be upon him, has prepared for the obedient. The two pious obedient ones. And because of the impact of this topic on the Islamic community and adorn it with good qualities. Likewise, I saw many Muslims who do not prefer the life of this world over the hereafter, and they began to fight over the world and enjoy its adornments, and they took pride in money, building, an
... Show MoreThe current research problem is focused on the level of human resource managers' performance of their contemporary roles and the impact of this on achieving organizational excellence. The research aims at diagnosing and interpreting the nature of the relationship between the roles of human resource manager and organizational excellence. ), And oil companies located in Baghdad governorate. The research included (boards of directors), and collected data from (83) respondents representing the research community exclusively and comprehensively
represented in the positions of function (Directors-General, Associate Directors-General, heads of departments, divisions and divisions). (49) questions, as well as th
... Show MoreFreedom of opinion and expression occupy the first place among the concerns of countries and international organizations. And it is also the basis of contemporary freedom because it is the foundation for achieving freedom in other fields such as politics, economics, education, etc.. The constitutions of the state have ensured that almost the entire freedom to express an opinion in all its forms either orally or writing or images of expressions, but these freedoms are identified within the law. Most countries announced their commitment to the international conventions and texts issued by international and regional organization like the Universal Declaration of Human Rights in 1948, and the International Covenant on Civil and Political Rig
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