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 method of operational matrices based on different types of polynomials such as Bernstein, shifted Legendre and Bernoulli polynomials will be presented and implemented to solve the nonlinear Blasius equations approximately. The nonlinear differential equation will be converted into a system of nonlinear algebraic equations that can be solved using Mathematica®12. The efficiency of these methods has been studied by calculating the maximum error remainder ( ), and it was found that their efficiency increases as the polynomial degree (n) increases, since the errors decrease. Moreover, the approximate solutions obtained by the proposed methods are compared with the solution of the 4th order Runge-Kutta method (RK4), which gives very

Apprendre une langue étrangère est une nécessité dans notre. Monde actuel. II y a quelques années certains croyaient qu'apprendre les langues étrangères servait uniquement aux examens a L'école et que c'était un luxe réservé a l'élite. De nos jours et à l'heure de la mondialisation des échanges et du développement des relations entre les pays, beaucoup ont pris conscience des multiples possibilités qu'offre L'apprentissage des langues des autres pays. La mondialisation a fait de la connaissance des langues un enjeu essentiel personnel, professionnel et culturel, pour le citoyen d'aujourd'hui et de demain. La mondialisation pousse nos jeunes a apprendre de plusieurs langues, s'ils ne maîtrisent pas bien la langue, ils ser

Essentiellement, la critique est l’âme de tous les domaines: artistique, scientifique, historique, … et littéraire. C’est la critique qui leur garantit l’existence et la continuité ; une telle puissance mérite d’être étudiée. La critique que nous allons aborder a pour objet l’étude de l’art littéraire. Cet art qui n’est que le recuit des faits et des expériences humains : Le critique à contempler ces expériences par une vision profonde susceptible de toucher les motifs les plus secrets ; il a à lire tout ce qui n’est pas écrit et à y ajouter sa culture pour en faire l’oeuvre critique.
Ainsi, critiquer, ce n’est pas attaquer, invectiver ni punir, mais c’est comprendre et analyser les oeuvre litté

The precise classification of DNA sequences is pivotal in genomics, holding significant implications for personalized medicine. The stakes are particularly high when classifying key genetic markers such as BRAC, related to breast cancer susceptibility; BRAF, associated with various malignancies; and KRAS, a recognized oncogene. Conventional machine learning techniques often necessitate intricate feature engineering and may not capture the full spectrum of sequence dependencies. To ameliorate these limitations, this study employs an adapted UNet architecture, originally designed for biomedical image segmentation, to classify DNA sequences.The attention mechanism was also tested LONG WITH u-Net architecture to precisely classify DNA sequences

This research sheds light on the morphological structure of nouns and verbs in the novel "ASTONISHMENT" by the novelist Aharon Applefield by analysing selected models from the novel in a morphological analysis in order to identify the most important morphological features of this structure according to a statistical analytical approach.

 The morphological structure is the main pillar of the linguistic structure of the literary text. Morphology is the science that studies the word, by which its structure and original letters are known, and the change that has occurred to it.  The aesthetics of the fictional text is reflected in this structure, through which the writer conveys his ideas and narrations to the reader.  The research

In recent days, the escalating need to seamlessly transfer data traffic without discontinuities across the Internet network has exerted immense pressure on the capacity of these networks. Consequently, this surge in demand has resulted in the disruption of traffic flow continuity. Despite the emergence of intelligent networking technologies such as software-defined networking, network cloudification, and network function virtualization, they still need to improve their performance. Our proposal provides a novel solution to tackle traffic flow continuity by controlling the selected packet header bits (Differentiated Services Code Point (DSCP)) that govern the traffic flow priority. By setting the DSCP bits, we can determine the appropriate p