In this paper, we investigate and characterize the effects of multi-channel and rendezvous protocols on the connectivity of dynamic spectrum access networks using percolation theory. In particular, we focus on the scenario where the secondary nodes have plenty of vacant channels to choose from a phenomenon which we define as channel abundance. To cope with the existence of multi-channel, we use two types of rendezvous protocols: naive ones which do not guarantee a common channel and advanced ones which do. We show that, with more channel abundance, even with the use of either type of rendezvous protocols, it becomes difficult for two nodes to agree on a common channel, thereby, potentially remaining invisible to each other. We model this in

     A complex number  is called an extended eigenvalue for an operator  on a Hilbert space H if there exists a nonzero operator  such that: such  is called an extended eigenoperator corresponding to. The goal of this paper is to calculate extended eigenvalues and extended eigenoperators for the weighted unilateral (Forward   and Backward) shift operators. We also find an extended eigenvalues for weighted bilateral shift operator. Moreover, the closedness of extended eigenvalues for the weighted unilateral (Forward and Backward) shift operators under multiplication is proven.

Contrary to deconstruction and its destructive pursuit, the concept of undermining the familiar seeks to refute the constants and its known limitations. It is done through the process of receiving and what is imposed by the formation of the word or text or the structural and design structure in general, along with the Arabic calligraphy in particular. This is based on the recipient's understanding and interpretation of the dual phenomenon and the content's manifestation. More accurately, the disclosure of its reality through its expressive phenomenology; for that sake, the research was devoted to studying “undermining the familiar and embodiment content in Arabic calligraphy” including four chapters. The first chapter comprised

Charge multipole Coulomb scattering form factors in ⁴⁸Ca nucleus have been reproduced utilizing the theory of nuclear shell. The efficient two-body nuclear potential fpbm is considered to construct the-spin orbit term LS vectors with Harmonic Oscillator HO potential as a wave function of single particle in Fp shell. Discarded spaces ( core + higher configuration) are taken into account through the Core polarization effect by model space with accurate two-body potential of Gogny to  interact the LS operating particles with the discarded space pair ( particle-hole) with energy of excitation equal to 2ћω. Gogny interaction has been selected as it had succeeded in nuclear shell theory. The computed results were compared with th

After the persistence of the British policy of oppression and control over the American colonies and the attempts to obliterate the identity of their inhabitants, the colonies worked on moving forward towards achieving independence, and Virginia was the first to initiate the development of the new government frameworks, through George Mason in drafting the Virginia Bill of Rights in 1776, which expressed the philosophy of the era Enlightenment and independent revolutionary thought, which called for equality and natural rights for individuals and the need for a free popular government that works for the common good.

Background: Cholecystectomy in cirrhotic patients is commonly followed by high morbidity and mortality, the incidence of hepatic cirrhosis has increased since last decade as well as the occurrence of complication such as liver failure, portal hypertension, and biliary disorders.
Patients and methods: laparoscopic Cholecystectomy was performed in 24 cirrhotic patients (18 child A and 6 child B) in an effort to obtain lower complications and mortality rates. The mean age of the group was 51.8 years, ten of the 24 patients were men and 14 female.
Results: intraoperative complications such as bleeding, dense adhesion and long operative time were recorded.
Conclusion: laparoscopic Cholecystectomy was safe and

     As a result of the emergence of new business paradigms and the development of the digital economy, the interaction between operations, services, things, and software across numerous fields and communities may now be processed through value chain networks. Despite the integration of all data networks, computing models, and distributed software that provides a broader cloud computing solution, the security solution is missing or inadequate, and more work is required to strengthen security requirements such as mutual entity trustworthiness, access controls, identity management, and data protection, all aspects of detecting and preventing attacks or threats. In order to combat cybersecurity threats, various international organizatio

Out of Hundred clinical samples, taken from different sources include burn, blood , wound and nasal swabs infections ; 90 isolates developed growth on mannitol salt agar. Among these, 40 (44.4%) were Coagulase positive (Staphylococcus aureus) isolates and 50 (55.5%)belong to coagulase negative staphylococci, in which the last Staphylococcus epidermidis isolates were 30(60%).Antibiotic susceptibility of Staphylococcus epidermidis isolates to 12 antibiotics were determined using disc diffusion method . The results revealed that high resistance to Penecillin G10 and Amoxiclav (Amoxicillin- clavulanic acid) ( 100%) and the high sensitivity to Imipenim (95%). The pattern of minimum inhibitory concentration of S.epidermidis isolates to vancomy