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A grid partitioning algorithm for backbone construction, called geographical adaptive delity (GAF ), was proposed by Xu et al. (2001). It assumes that location information is available via GPS, and each node knows its current location relative to other nodes. The algorithm divides the whole area of the network into virtual grids. The virtual grid is de ned such that, for any two adjacent grids, any node in one grid can directly communicate with any node in the other grid. That is, all nodes in the same grid are equivalent from the routing or broadcasting point of view. Therefore, one representative node from each grid is suf cient to construct a connected backbone. Suppose r is the size (edge length) of the virtual grid and R is the transmission range. In order to guarantee that any two nodes in adjacent grids can communicate with each other, the following relationship is required: r 2 + (2r)2 R 2 . Thus, we have r R/ 5. Geographical adaptive delity was further studied by Basagni et al. (2004). This study shows that the backbone constructed by GAF may disconnect the graph. The reason is that nodes are not evenly distributed in the grids. It is very likely for a grid with one or more nodes to be adjacent to one or more empty grids. Two nonadjacent nonempty grids may be connected when all the nodes within them are active. However, particular leaders computed by GAF may not be connected and this results in a partition of the backbone. The partition of the backbone is illustrated in Figure 2.1 (not all edges of UDG are drawn). Other disadvantages include the use of parameter (grid size) and global synchronization for grid boundaries.

. relationships between any self element and the other elements. This helps to answer the question, Who do you see as most similar to yourself . relationships between any self element and any ideal self element. How close is the interviewee to his or her ideal This approach is often used when measuring change, or assisting the interviewee in clarifying his or her thoughts about some possible change. The applicability to counselling is obvious.

We shall now introduce two more important concepts in probability theory. De nition C.3 A discrete random variable X is a mapping from the sample space V into a speci ed nite or countably in nite set. X : V ! X V De nition C.4 The probability distribution of a random variable X, denoted PX, is a mapping from X(V) onto the interval [0,1] such that PX x Pr X x C:8

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Manhattan was a tough proposition for anyone to believe. He had to give the Board of Estimate something physical to look at, to touch, in order to make his vision real. Trump had the architect come up with sketches and renderings that he could use in his presentations to the city and the lenders. He told Der to make it appear that he had spent a huge sum of money on the drawings. A beautiful presentation can be very impressive. It worked. People began to believe in the idea.

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EXHIBIT 6.7 (Continued)

Although occupancy rates have effectively doubled in this example, because a significant portion of operating expenses are fixed regardless of occupancy rates, operating expenses will increase by only a fraction of the increase in occupancy. Examples of fixed expenses include security, garage expenses, landscaping, and insurance, whereas variable expenses include items such as repairs and maintenance. If, in calculating the expense stop or base year, the landlord had grossed up expenses as if the building were fully occupied, the tenant might have been able to negotiate a higher expense stop or base year. Thus, in considering the rental rate and expenses that are within the professional services firm s budget, the firm should confirm that any expense stop or base year provision is based on a grossed-up operating expense figure. Further, regardless of the manner in which the gross-up calculation is performed, the tenant should insist that the landlord be precluded from recovering more than 100 percent of its actual operating expenses in any given year.

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