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.
Singapore has invested its human resources for the development of the country since earlier times, so it has directed attention to the education sector. Education and development complement each other, as investment in education has contributed over several years to the development of Singapore economy and has made it one of the strongest economies in Asia and the world. Despite the obstacles that faced educational policies in Singapore, the presence of a wise leadership capable of overcoming difficulties and solving them, and providing the appropriate atmosphere for the development of education has contributed significantly to making it one of the most advanced educational systems in the world, and making this system the main pillar for
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Number (42) 13 Ramadan 1436 H 30 June 2015
Abu Muhsin al-Thaqafi oscillating between disobedience and obedience
Research Summary
This research deals with the impact of Islam on the poetry of the veterans who realized ignorance and Islam
Persistent and shifting perspective in their poetry, especially those that talk about
Topics deprived of Islam, such as hair, for example. It is known that the description of alcohol is common in
Pre-Islamic poetry, and the Arabs were proud to drink it as proud of their heroism and Frosithm,
And drinking alcohol was associated with religious roots, they thought that the drinker acquires the attributes of God,
He can do the things that gods do, and humans can not. A
Were not experience Khalil Hawi capillary module as presented or routine in the format
of the implications , but was saturated transitions quality that targeted built by visionary and
mechanisms expressive , Valgosaidp when the container is a clash between two worlds world
Nahdi to promote world on the ashes , and often strained poet himself to achieve an approach
between worlds , and in the midst of those caesarean section exhausted poet in touch his tools
and visions , and this is why the poetry Hawi toward westernization expressive as a result of
the conflict concepts chronic , be sure to researcher not engaged in the overall qualitative
changes in the structure and content, but the goal Acetknah level that qualit
Profiles of indignation and indiscretion in pre-Islamic poetry
The problem of the research came through the following question (what is the effectiveness of active design in contemporary industrial products), and it emphasized the importance of research to make society with its members in a positive state of activity, and what can help the industrial product design to achieve this, but the goal of the study is (determining the characteristics and principles of design Active and its effectiveness in the industrial product), and the study was determined by industrial products related to daily, recreational and sports activity, The researcher relied on a form to determine the axes of analysis for the sample models, in order to reach the results of the research, the most important of which are: Realiz
... Show MoreMost statistical research generally relies on the study of the behaviour of different phenomena during specific time periods and the use of the results of these studies in the development of appropriate recommendations and decision-making and for the purpose of statistical inference on the parameters of the statistical distribution of life times in The technical staff of most of the manufacturers in the research units of these companies deals with censored data, the main objective of the study of survival is the need to provide information that is the basis for decision making and must clarify the problem and then the goals and limitations of this study and that It may have different possibilities to perform the
... Show MoreBackground The escalating global concern over increased body weight in adolescents, coupled with the rising rates of adolescent pregnancy worldwide, presents a significant challenge to healthcare systems. We plan to identify the maternal and neonatal consequences associated with pre-pregnancy overweight in adolescent women. Methods Throughout five years, all singleton adolescent pregnant women with pre-pregnancy self-reported body mass index (BMI) of 18.5– ≤ 29.9 were involved during the first-trimester visit. Two groups were generated: overweight and appropriate-weight (BMI 25–29.9 and 18.5–24.9, respectively). Obstetric and neonatal outcomes were observed prospectively and statistically adjusted for the confounding factors.
... Show MoreThe research aims to shed light on the importance of Natural gas as a National wealth is not being used optimally to be a financial resource is important to Iraq in addition to Oil, as well as could be used as an important Source of Energy, instead of burning gas is a waste of wealth and Contribute to the contamination of the environment. Research Reviews the importance of Natural gas, where is currently about a quarter of global energy consumption. Then deals with the reality of the gas industry in Iraq and winning because of the volume of waste incineration, which reached a rate (45%) of the gas Associated with oil, where Iraq is fourth globally in Terms of the amount of gas Burned. Finally, this paper discusses the future of n
... Show MoreIntroduction: The study was intended for Roseomonas gilardii NTCC 13290 strain pigment extraction and characterization. Methodology: The pigment-producing bacterial were cultured on Columbia blood agar and nutrient media agar. Then the pigments were extracted by ethanol. The candidate pigment was further characterized by different biotechnological techniques: UV-Vis spectroscopy, FT-IR to analyze the functional group of the targeted pigment, and TLC media. Results: The cultivation of Roseomonas gilardii on media showed pink color and nearly runny texture. The bacterial colonies were microscopically gram stained and examined, the R. gilardii was seen as coccobacillus colonies that mostly form pairs arranged as short chains. The R. gilardii b
... Show MoreThis piece of research deals with assimilation as one of the phonological processes in the language. It is a trial to give more attention to this important process in English language with deep explanation to its counterpart in Arabic. in addition, this study sheds light on the points of similarities and differences concerning this process in the two languages. Assimilation in English means two sounds are involved, and one becomes more like the other.
The assimilating phoneme picks up one or more of the features of another nearby phoneme. The English phoneme /n/ has t
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