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.

Many pharmaceutical molecules have solubility problems that until yet consist a hurdle that restricts their use in the pharmaceutical preparations. Lacidipine (LCDP) is a calcium-channel blocker with low aqueous solubility and bioavailability.

        Lipid dosage forms are attractive delivery systems for such hydrophobic drug molecules. Nanoemulsion (NE)  is one of the popular methods that has been used to solve the solubility problems of many drugs. LCDP was formulated as a NE utilizing triacetin as an oil phase, tween 80 and tween 60 as a surfactant and ethanol as a co-surfactant. Nine formulas were prepared, and different tests performed to ensure the stability of the NEs, such as thermodyna

The research deals with the lyrical introduction in the commentary of Tarfa bin al-Abd as a formative system characterized by flexibility and richness of imagination, which achieved a formative treatment and a unique construction within the structures of the structural and semantic language. I dealt with the poetic verses represented by the lyrical introduction as a formative hypothesis, basing its goal on a methodological framework distributed on the problem that was summarized by the following question: Is it possible to look at the poetic pattern within the pre-Islamic poem / hanging blinking as a model, in its plastic dimensions and to identify the stylistic treatment that achieves the formation space within the poetic text. The rese

Contemporary art has been widely affected by technology, and ceramics production is no exception. As an ancient art that originates from clay and other humble materials found in the ground, ceramics is considered one of the most adaptable art forms. Once it is realised how flexible ceramics as a material is, it can be easily altered into endless forms and shapes. Therefore, it is vital for ceramics practitioners to find a relationship between this wonderful material and the media of contemporary art, culture and modelling software or technology in general so that they can take their deformable art pieces to a whole new level. Such a relationship is worth investigating. Thus, for the purposes of this research, several ceramic pieces were

Chekhov is well known and perceived in Arab countries. His stories and plays are very popular. They translated it into Arabic by different translators from different languages of the world Many of his stories require new translation solutions to achieve partial, if not complete, equivalence. Chekhov's works are a very difficult subject to analyze and interpret, which is explained by the fact that Chekhov's collections are constantly republished in foreign languages. It is impossible to preserve in translation all the elements of the original text containing historical and national details but, of course, the reader should have the impression that they represent the historical and national situation. When translating, it makes sense to prese

This study sought to understand how critical cultural awareness was in translating English idioms into Arabic, particularly in political news where clarity and precision are paramount. The challenges that arise from the linguistic and cultural disparities between the two languages include differences in metaphor, image, and cultural reference. The study demonstrates, through the lens of Skopos Theory, how efficient translation relies on the function and intent of the text taking precedence over word-for-word equivalence and cultural context. Overall, the study establishes the need to transform idioms so that they better align with what is appropriate given the expectations of the audience. The results highlight the importance of inn