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.

The accession of countries to the World Trade Agreement and the openness of markets to each other without restrictions led to the emergence of the philosophy of "a world without borders and business units without countries", which required adapting the modern business environment to that philosophy, which is considered as objectives for the activities of the units that must be implemented in order to achieve competition. The objective of the units has changed from making profit to meeting the desires of customers, which is what imposed a new role for management accounting as a field of knowledge renewed in it visions of competitiveness between units. Because of the increasing needs for information in light of environmental change

A twisted-fin array as an innovative structure for intensifying the charging response of a phase-change material (PCM) within a shell-and-tube storage system is introduced in this work. A three-dimensional model describing the thermal management with charging phase change process in PCM was developed and numerically analyzed by the enthalpy-porosity method using commercial CFD software. Efficacy of the proposed structure of fins for performing better heat communication between the active heating surface and the adjacent layers of PCM was verified via comparing with conventional longitudinal fins within the same design limitations of fin material and volume usage. Optimization of the fin geometric parameters including the pitch, numb

شيد الفكر العربي المعاصر تحولات عدة فرضتها بعض التيارات الفكرية والفلسفية الغربية، وأثرت في تكوينه وتحديد اتجاهاته، فضلا عن التحديات التي بات لزاما عليه ان يتعامل معها ويمكن رد هذه التحديات الى عدة عوامل داخلية وخارجية أنتجت عدة تيارات تناولت موضوع العقلانية في الفكر العربي المعاصر، لعل أبرزها التيار الاصلاحي، التيار الليبرالي، والتيار العقلي النقدي

تُمثل عملية صنع القرار السياسي في الكويت بمراحلها وآلياتها ومؤسساتها، معياراً على مدى تقدم النظام السياسي ونجاحه في تقدم الدولة. كذلك هي معيار لمستوى قوة تجذّر الديمقراطية بين الفرد الكويتي في المجتمع، ونتاج توازن التفاعل ما بين المؤسسات السياسية مع مؤسسات الدولة الرسمية والغير رسمية، اعتماداً على القانون لا على الأهواء والمصالح القبلية والعشائرية، لتأسيس دولة مؤسسات قبل دولة أفراد.

الادراك السياسي للاصلاح الاداري في العراق

The poet Maarouf Al-Rusafi lived in an anxious era of our intellectual history at the end of the nineteenth and first half of the twentieth century, which is the stage of the launch of the Enlightenment movement in the Arab East with the great political and social changes that witnessed this stage that had an influential

الدور السياسي للاحزاب الاسلامية في تركيا

The effect of superficial gas velocity within the range 0.01-0.164 m/s on gas holdup (overall, riser and down comer), volumetric oxygen mass transfer coefficient, liquid circulation velocity was studied in an internal loop concentric tubes airlift reactor (working volume 45 liters). It was shown that as the u_sg increases the gas holdup and also the liquid circulation velocity increase. Also it was found that increasing superficial gas velocity lead to increase the interfacial area that increases the overall oxygen mass transfer coefficient. The hydrodynamic experimental results were modeled with the available equations in the literature. The predicted data gave an acceptable accuracy with the empirical data.

The final

The aim of the study was to find out the correlations and impact between the variable of ethical leadership behavior and university performance at Sumer University. Use the descriptive analytical method by adopting the questionnaire tool to collect data. The questionnaire was distributed electronically to 113 teachers at Sumer University and the response was from 105 teachers. The research results showed that there is a correlation and effect relationship between the search variables. In addition, the responding university does not have ethically defined standards in terms of performance of the work of the cadres working there. Finally, the research presented a set of recommendations aimed at tackling problems in the ethical lead