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In addition, node v stores a virtual edge (v, w) that is mapped to the relay node u; that is, a message from v to w is rst sent to node u and from there sent to node w Finally, when all nodes have completed the virtual edge construction step, local Gabriel graph construction is applied on this extended neighbor set It is proved that the resulting topology is connected and planar if the quasi-unit disk graph satis es rmax /rmin 2 [1] Note that the virtual edge concept is a recursive structure; that is, the edges (v, u) and (u, w) used for the virtual edge (v, w) might be virtual edges as well It is shown that the path corresponding to a virtual edge might be arbitrarily long [1] Thus, without any further provision the algorithm is not localized.

It is denoted by I G( 1 , 2 ). The exponential distribution is parameterized so that an Exp( ) has mean 1/ and the gamma is parameterized as f (t) = 1 t t e ( ) for > 0, > 0, t > 0

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However, it is shown that for graph families providing a minimum Euclidean distance between any two network nodes (sometimes denoted as civilized graphs or (1)-model) the total length of a virtual edge s corresponding path is bounded by a constant Moreover, it is proved that the length of the corresponding path is as well bounded by a constant if the quasi-unit disk graph has a bounded node degree [1] The work proposes a localized two-phase scheme that rst applies a topology control mechanism that limits the node degrees but maintains the quasi-unit disk graph property Afterward, the virtual edge topology control scheme and localized Gabriel graph construction is applied on this backbone structure..

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Figure 8-2 Random vs. linearly polarized light. The drawings show two beams of light, each containing several photons, as they would appear in cross section, looking down the axis of the beam. Refer to Figure 2-2 for orientation. (a) Random light: The E vectors of the waves are randomly oriented and vibrate in all possible planes. (b) Linearly polarized light: The E vectors of all waves comprising the beam vibrate in a single plane. The angle of the plane of vibration of the E vector relative to the vertical reference line is designated . The angle of tilt is called the azimuthal angle.

TABLE 9.5 Some Debugging Commands Built Into the FLOPS Run-Time Module prdata/ldata displays or lists current data prstack lists newly reable rules and any rules on the backtracking stack run N runs for a selected number of rule- ring steps breakpoint sets breakpoints at selected rules or lists current breakpoints debug sets level of program trace explain shows why rules are or are not reable, and gives the source of current data history list of previously red rules keyboard/resume temporarily exits run mode and accepts keyboard commands prule displays rule source code

Fig. 5.40 Circuits for conductivity measurements with two-electrode cell (a) and four-electrode cell (b). In (a), S: AC voltage source; D: detector; I, II, III: bridge elements. In (b), S: constant-current source; POT: potentiometer; Rs: variable resistor; C and C': electrodes for current flow; P and P': electrodes for voltage measurement.

The probability E that the patent owner, in the event of infringement, will enforce its patents depends mainly on two factors: one s willingness, Ew, and one s ability, Ea, to do so. Needless to say, a patent portfolio owned by a company that is unlikely to enforce it is worth considerably less (if anything at all) than a similar portfolio owned by a company that vigorously enforces its patents, all other things being equal. Another factor, not less important, that contributes to the probability of patent enforcement E, is the ability to enforce the patents Ea. All these factors of willingness Ew and ability Ea must be taken into account when estimating the probability of patent enforcement E. Assuming, for simplicity, that these two factors are independent, the total probability of enforcement E is the product of these two factors: 22. E Ew * Ea

One cannot fight a war without an army. Similarly, one cannot litigate a patent without a squad of lawyers. Selecting a law firm is a critical, but not unduly complex, task. Only three basic factors must be considered: quality, flexibility, and price.

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