Some discrete d-orthogonal polynomial sets

AbstractIn this paper, we characterize all polynomial sets which are at the same time d-orthogonal and Δω-Appell. The resulting polynomials reduce to Charlier polynomials for (d,ω)=(1,1). Various properties of the obtained polynomials are singled out: generating function, recurrence relation of order d+1 and a difference equation of order d+1. We also explicitly express the d-dimensional functional for which the d-orthogonality holds

Performance Evaluation of Finite-Source Cognitive Radio Networks with Impatient Customers

The current paper takes into consideration a cognitive radio network with impatient customers, by the help of finite-source retrial queueing system. We consider two different types of customers (Primary and Secondary) assigned to two interconnected frequency bands. A first frequency band with a priority queue and a second one with an orbit, both are respectively dedicated for the Primary Users (PUs) and Secondary Users (SUs). In case the servers are busy, both customers (Licensed and Unlicensed) join either the queue or the orbit. Before joining the orbit, secondary customers receive a random retrial time according to exponential distribution, which is the holding time before the next retry. Unlicensed users (impatient) are obliged to leave the system once their total waiting time exceeds a given maximum waiting time. The novelty of this work is the investigation of the abandonment and its impact on several performance measures of the system such as the mean response time and waiting time of users, probability of abandonment of SU, etc. Several figures illustrate the problem in question by the help of simulation

Chinese Offensive Language Detection:Current Status and Future Directions

Despite the considerable efforts being made to monitor and regulate user-generated content on social media platforms, the pervasiveness of offensive language, such as hate speech or cyberbullying, in the digital space remains a significant challenge. Given the importance of maintaining a civilized and respectful online environment, there is an urgent and growing need for automatic systems capable of detecting offensive speech in real time. However, developing effective systems for processing languages such as Chinese presents a significant challenge, owing to the language's complex and nuanced nature, which makes it difficult to process automatically. This paper provides a comprehensive overview of offensive language detection in Chinese, examining current benchmarks and approaches and highlighting specific models and tools for addressing the unique challenges of detecting offensive language in this complex language. The primary objective of this survey is to explore the existing techniques and identify potential avenues for further research that can address the cultural and linguistic complexities of Chinese

Le repérage automatique des entités nommées dans la langue arabe : vers la création d'un système à base de règles

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal

Type II cytokines direct choices of early thymic progenitor lineage and influence negative selection of myelin-reactive T cells

Autoimmune diseases have been known for having a strong genetic component; however, there is growing indication that shows the environment also plays an important role. One way in which the environment plays a role is though influencing central tolerance via fine tuning of the thymic microenvironment. It has been shown that early thymic progenitors (ETPs) that express the heteroreceptor (HR), which are comprised of both IL-13R[alpha]1 and IL- 4R[alpha] chain, are directed toward the myeloid lineage and serve as antigen presenting cells (APCs). Due to the role of APCs in T cell negative selection, this research looks to investigate whether type II cytokines can determine ETP lineage choice and subsequently alter negative T cell selection. --Introduction.Funding: NIH grant, RO1 NS057194.Hannah Gavin (Undergraduate Student, University of Missouri School of Medicine at Columbia), Alexis Cattin-Roy (Molecular Microbiology and Immunology Department, University of Missouri Hospital, MO, 65201), Habib Zaghouani (Molecular Microbiology and Immunology Department, University of Missouri Hospital)