"... In PAGE 2: ... We believe that many of the tasks which would benefit from location awareness require a much more refined definition of location than simple physical location as provided by GPS. Table1 breaks these examples into several classes. Although some tasks depend on physical location, many tasks depend on hardware or some external computing capability.... ..."

"... In PAGE 2: ... We believe that many of the tasks which would benefit from location awareness require a much more refined definition of location than simple physical location as provided by GPS. Table1 breaks these examples into several classes. Although some tasks depend on physical location, many tasks depend on hardware or some external computing capability.... ..."

"... In PAGE 2: ... Table1 : Stack- and queuenumbers for some classes of planar graphs.... ..."

"... In PAGE 2: ...Table1... ..."

"... In PAGE 11: ...The notation SF is used to represent the detection condition for an arbitrary fault belonging to fault class F . The detection conditions for fault classes CRF, CNF, ENF, CCF, and CDF are summarized in Table2 . There, x is a clause in S, y is another valid clause 3 , and X is an expression in S.... In PAGE 11: ... 4 Proof. By Table2 , we must establish that, for a predicate P and a clause x occurring in P , dP x y ! dP x x holds, where y 6 = x is another valid clause. Rewriting with (9), we have ((x apos; y) ^ dP dx ) ! ((x apos; x) ^ dP dx ) Since x apos; x = 1, and in view of (7), the Theorem holds.... In PAGE 12: ... Proof. By Table2 , we must establish that, for a predicate P , with a clause x occurring in a subpredicate E of P , dP xx ! dP E E holds. Rewriting with (9), we have ((x apos; x) ^ dP dx ) ! ((E apos; E) ^ dP dE ) Since the exclusive-or of a predicate with its negation is trivially true, this can be rewritten as dP dx ! dP dE Since clause x is a subpredicate of E, the theorem follows from Lemma 1.... In PAGE 13: ... Proof. By Table2 , we must establish that, for a predicate P and a clause x occurring in P , ((dP x x^y _ dP x x_y) $ dP x y) ^ (dP x x^y _ dP x x_y) where y 6 = x is another valid clause. By (9), the detection conditions for CRF, CCF, and CDF are dP x y = (x apos; y) ^ dP dx dP x x^y = (x apos; (x ^ y)) ^ dP dx = x y ^ dP dx by (2) dP x x_y = (x apos; (x _ y)) ^ dP dx = xy ^ dP dx by (4) The disjunction of the detection conditions for CCF and CDF is dP x x^y _ dP x x_y = (x y ^ dP dx _ xy ^ dP dx ) = (x apos; y) ^ dP dx (10) Additionally, x y ^ dP dx _ xy ^ dP dx = x _ y _ x _ y _ dP dx = 1 (11) In view of (10) and (11), the Theorem holds.... ..."

"... In PAGE 4: ...g., green vegetation and NPV), charred organics (burned shrub stems and needles), uncharred inorganics (rocks and soil), and charred inorganics (rock, soil, and ash) ( Table1 ). These classes broadly relate to burn severity and erosion potential as post- fire organic ground cover decreases erosion potential by protecting the soil from wind or water.... ..."

"... In PAGE 9: ... The number of LVQ codevectors, assigned to each class, was proportional to the a-priori class probability. In Table3 , for diVTerent class numbers, the performances on the test set, measured in terms of recognition rate in absence of rejection, are reported. The performance is shown to be improved by decreasing the number of classes when this is higher than an optimal value (in this case 39).... ..."

"... In PAGE 4: ...igration failure, e.g. disconnection in transit. This simulation also makes three large assumptions: correct network topology is instantly, globally available; correct service knowledge is in- stantly, globally available; service matching is instantaneous. Table2 presents results for 36 trials, each consisting of 1,000 agents per class over 15,000 iterations.... ..."

"... In PAGE 14: ... Section 6). Table2 gives the running times for each of the following stages of the algorithm. 1.... In PAGE 15: ...850 speed-up 1322 1302 1240 Table 2 Computational examples on the CM5, q = 216. The results shown in Table2 are those obtained for the matrix T above. Very similar results have been obtained with the other test cases.... ..."