In this article, a new deterministic primality test for Mersenne primes is presented. It also includes a comparative study between well-known primality tests in order to identify the best test. Moreover, new modifications are suggested in order to eliminate pseudoprimes. The study covers random primes such as Mersenne primes and Proth primes. Finally, these tests are arranged from the best to the worst according to strength, speed, and effectiveness based on the results obtained through programs prepared and operated by Mathematica, and the results are presented through tables and graphs.
In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.
Hardly a day passes without hearing the news of a person’s suicide here or there, as if life no longer has value for a person, and this fact is what prompted the World Health Organization to sound the alarm, after it found that suicide had become widespread in the world and published its report Under the title (Suicide Prevention - A Global Necessity), and announced the need to take care of mental Health as part of public health, because what psychological human crises are exposed to may lead to suicide.
A quick look at the position of the various legislations on suicide, we find there is a great difference, some legislations recognize the human right to death, while other legislation punishes the
... Show MoreThis research is a new reading of some of the words in the Holy Quran, which is very old. It is a human reading in which religions are intertwined by recognizing the relationship between man and his fellow man in the unity of existence and the unity of the source of religions and the unity of language. The importance of this research in comparing some of the Arabic words has been contained among books believed by followers that it is from the one God Sunday.
When words are spoken in one way in the form of one creature, from the beginning of creation to the present day, this indicates the single origin of the languages..
The research tools were books of heavenly religions, the Quran, dictionaries and interpretations.
... Show MoreThe most important right parliamentary system features it is based on three key elements must be met in order for this system is characterized by Balbrlmana, and these features lie in cooperation and balance between the executive and legislative branches also lies in the equality between the two branches, and this can not be achieved unless there is a mutual understanding between them, and this understanding can only be achieved if all possessed the power of the media and the influence of pressure is what makes other power stands at a certain point
Therefore constitutional rules came in this system to decide the legislative authority of certain rights exercised in the face of the executive branch and check use effective on its wo
... Show MoreBoth of the species Typha domengensis and Phragmites communis among the most important plant endemic in flora of Iraq from monocotyledon. Due to the similarity of the two species with each other in many morphological characteristics such as the environment where they live and the form of leaves and type of leaf venation and type of stomata….ets, also both of species belong to monocots plant therefore this research work was conducted find anatomical differences that have the same as taxonomic value to help distinguishing between both species under study. Through this research, we found great importance to the anatomical characteristics which we reached by studying the roots, stems and leaves sections f
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The subject of this research is the study of the formal alienation of contemporary English sculpture, by comparing the most important sculptors of the new contemporary generation. This research problem is to look for the important factors in the formation of the contemporary sculptural structure of the exotic, and what is the mechanism of formation and output of these forms. The research seeks to explore (Alienation in contemporary sculpture between the works of Anthony Caro and Tony Cragg) in a comparative study. The importance of the research is to identify the concept of alien forms in contemporary British sculpture, especially in the cases of Anthony Caro and Tony Cragg that this research is considered a know
Sort out the stability of the principle of separation of power to stabilize the rules for the distribution of power to the three state authorities (legislative, executive and Judicial), this, in turn led to emergence of the principle of legislative unilateralism, which means that the legislative authority is unique and not the other by exercising legislative competence, except with the permission of the legislative or the provisions of the constitution, this led to the emergence of what is known as the traditional relationship between law and regulation. However, this principle began to lose it, severity due the political, social and economic condition which changed the relationship between the law and the regulation, consequently, the l
... Show MoreIn this paper, the deterministic and the stochastic models are proposed to study the interaction of the Coronavirus (COVID-19) with host cells inside the human body. In the deterministic model, the value of the basic reproduction number determines the persistence or extinction of the COVID-19. If , one infected cell will transmit the virus to less than one cell, as a result, the person carrying the Coronavirus will get rid of the disease .If the infected cell will be able to infect all cells that contain ACE receptors. The stochastic model proves that if are sufficiently large then maybe give us ultimate disease extinction although , and this facts also proved by computer simulation.
Background: Thyroid surgery has undergone many changes during the past 2 decades, including the introduction of new surgical techniques such as endoscopic or video-assisted approaches, anesthesia care, intraoperative nerve monitoring and new hemostatic tools
Objectives: to assess the efficacy and safety of Harmonic Focus shears in total thyroidectomy compared with conventional surgical technique.
Patients and methods: prospective study conducted from October 2011 till January 2016, two handers and nine patients with benign and malignant thyroid diseases, scheduled for total thyroidectomy in a governor and private hospitals were enrolled randomly into 2 groups, group A consists of 105 patient who undergone a total thyroidectomy usin
This research aims to identify the reality of teaching political science research methods curriculum, to observe practices, and differences in teaching and learning between the Arab and Western universities. Moreover, it focuses on the difficulties that face students' acquisition of the course skills. The research uses the course model of some Western and Arab universities as case study.
This research shows that the curriculum do not reach yet the final form as other political science curriculums, and its upcoming changes will reflect the needs of stakeholders. The best method to teach this curriculum is to use applied learning in groups, learning by doing, and finally problem-based learning approach. Using optimal assessment deep
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