By Rutherford D.E.
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Ce cours de topologie a été dispensé en licence à l'Université de Rennes 1 de 1999 à 2002. Toutes les constructions permettant de parler de limite et de continuité sont d'abord dégagées, puis l'utilité de l. a. compacité pour ramener des problèmes de complexité infinie à l'étude d'un nombre fini de cas est explicitée.
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Additional info for Vector methods applied to diff. geometry, mechanics, and potential theory
This means that protocols for ad hoc networking must be able to operate efﬁciently in the presence of a very large number of nodes also. 1, data should travel through the most diverse type of networks: ad hoc, cellular, satellite, wireless LAN, PSTN, Internet, and so on. Ideally, the user should smoothly switch from one network to the other without interrupting her applications. Implementing this sort of ‘network handoff’ is a very challenging task. – Deﬁnition of a feasible business model : Currently, accounting in wireless networks (cellular, and commercial wireless Internet access) is done at the base station, that is, using a centralized infrastructure.
The main weakness of the point graph model is the assumption of perfectly regular radio coverage: the covered region is a d-dimensional disk of a certain radius centered at the transmitter. As discussed in the previous section, this assumption is quite realistic in open air, ﬂat environments. 3 Example of two-dimensional point graph. Note that two of the links in the graph are unidirectional. harsh conditions (sensor networks). In other words, in real-life situations, it is quite likely that the radio coverage region is highly irregular, because of the inﬂuence of walls, buildings, interference with preexisting infrastructure, and so on.
2004), and that the average nodal speed, deﬁned as the average of the node velocities at a given instant of time, decreases over time (Yoon et al. 2003). These observations have brought to the attention of the community the fact that RWP mobile networks must be carefully simulated. In particular, network performance should be evaluated only after a certain ‘warm-up’ period, which must be long enough for the network to reach the node spatial and average velocity ‘steady-state’ distribution. The RWP model has also been generalized to slightly more realistic, though still simple, models.