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 invisibility as a Poisson thinning process and show that invisibility is even more pronounced with channel abundance. Following the disk graph model, we represent the multiple channels as parallel edges in a graph and build a multi-layered graph (MLG) in R2. In order to study the connectivity, we show how percolation occurs in the MLG by coupling it with a typical discrete percolation. Using a Boolean model and the MLG, we study both cases of primaries' absence and presence. For both cases, we define and characterize connectivity of the secondary network in terms of the available number of channels, deployment densities, number of simultaneous transmissions per node, and communication range. When primary users are absent, we derive the critical number of channels which maintains supercriticality of the secondary network. When primary users are present, we characterize and analyze the connectivity for all the regions: channel abundance, optimal, and channel deprivation. For each region we show the requirement and the outcome of using either type of rendezvous techniques. Moreover, we find the tradeoff between deployment-density versus rendezvous probability which results in a connected network. Our results can be used to decide on the goodness of any channel rendezvous algorithm by computing the expected resultant connectivity. They also provide a guideline for achieving connectivity using minimal resources.
Background: Tumor-like overgrowth lesions of the oral mucosa are pathological growths that project above the normal contour of the oral surface. A practical classification can be made according to the site of origin, the etiology and the histological appearance. The aim of this article is to evaluate and analyze patients with gingival and alveolar ridge tumor-like overgrowth lesions in terms of surgical treatment, diagnosis and outcome. Materials and Methods: Patients complaining of these lesions were treated by surgical excision under local or general anesthesia; the excised lesions were submitted for histopathological examination, during the follow up period the patients were examined for complications and recurrence. Results: Pyogenic gr
... Show Moredictates the need to study the cultural aspects of the context and the consequent relations between the person and the objective environment surrounding him, as the philosophical understanding of the role of culture has led to the emergence of new theoretical interpretations of design that are organically linked with the development of society, especially that the development of the human environment philosophically and culturally is linked to the philosophical perception of its role in Culture as a precondition for new theoretical interpretations of design.
From the above, this problem can be studied by defining the following question (What are the implications of the cultural context in graphic design)?
The research included
Abstract
What the research come to:
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repetition style especially in the topics that has a reference to
the theme of (pride) being implied not directly stated. The
Koran discourse varied in its reference to the theme of pride
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Both of the species Typha domengensis and Phragmites communis among the most important plant endemic in flora of Iraq from monocotyledon. Due to the similarity of the two species with each other in many morphological characteristics such as the environment where they live and the form of leaves and type of leaf venation and type of stomata….ets, also both of species belong to monocots plant therefore this research work was conducted find anatomical differences that have the same as taxonomic value to help distinguishing between both species under study. Through this research, we found great importance to the anatomical characteristics which we reached by studying the roots, stems and leaves sections f
... Show MoreThe goal of this research is to introduce the concepts of Large-small submodule and Large-hollow module and some properties of them are considered, such that a proper submodule N of an R-module M is said to be Large-small submodule, if N + K = M where K be a submodule of M, then K is essential submodule of M ( K ≤e M ). An R-module M is called Large-hollow module if every proper submodule of M is Large-small submodule in M.
This research for university students dialectic unemployment and work, focusing on
serious discussion, accurate and provide opinions between specialists and those interested in
the university youth issues and identify them in the light of the dialectical relationship
between unemployment and work for the purpose interpreted accurate and access to reality
without coverage and linked to the movement of the changing society now and the situation
that is happening in Iraq, where the loss of the safety and the weakness of the determinants of
economic well-being and the decline of public and social health and the unemployment rate
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Through the study of social work and social policy ( problems of marginalization and empowerment opportunities ) and taken a theoretically descriptive and analytical and highliyhed the role of social work in social policy its achieved only through community intraction and paamong all parties and according to social policies include of material resources and haman and integrated in to the planning and development framework with the aim of providing social services for allsegments of society and become the study in social work that include the introducation / and five chapters each chapter in cludes several detectives and each complements the other .
1 – The absence of social development projects on social policy .
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