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14 Oct 1998: 1.24) δ(p) = limn. {n(d1)/d log Pp(|C|= n). }exists and is strictly positive when p > pc. ... The existence of the limit in (1.24) has been proved when d = 2 by Alexander,Chayes, and Chayes (1990), and when d = 3 by Cerf (1998b).

14 Oct 1998: n). In conclusion, there exists δ4 such that, for all e=〈z, z+ u〉 Ed,(3.24) Pp,s. ... where 5′e is the number of pivotal vertices within z+ B(2m+ R+ 1).Summing (3.24) over all eEd, we deduce via (3.17) that.

15 Nov 1998: If a question cannot be answered immediately, due to the complexity of the enquiry for instance, further assistance will be provided with 24 hours of the enquiry being logged.

29 Nov 1998: The image detection thresholds on the O and E plates were around 24 mag arcsec. ... and 24 mag arcsec. Detected images were parameterised to preserve coordinate, intensity and general shape information.

30 Nov 1998: 10 27 382 428 0.17 12.7 51P6 09 49 28.5 44 53 43 336 339 0.24 11.7 51P7 09 49 32.1 49 59 40 664 ... 787 0.13 13.7 51P8 09 50 23.2 46 39 22 319 349 0.38 14.0 51P9 09 50 38.6 45 24 33 283 257 0.32

30 Nov 1998: 53P1 10 01 04.41 46 40 51.9 34.0 32.6 0.20 24.5 53P2 10 01 51.97 46 19 57.6 20.6 21.2 ... 0.26 13.6 53P107 10 15 33.70 46 24 17.6 14.6 33.3 0.24 12.2.

30 Nov 1998: 35.2 68P10 06 23 56.0 42 50 42 369 408 0.09 12.5 68P11 06 24 21.0 43 22 37 186 235 0.13 8.1 68P12 ... 06 24 28.4 43 53 42 179 221 0.15 8.8 68P13 06 24 29.0 43 01 30 243 278 0.11 10.0 68P14 06 24

30 Nov 1998: 24.6 48 39 43 824 877 0.11 17.2 52P4 10 24 02.8 45 01 10 566 612 0.18 20.8 52P5 10 24 12.8 46 ... 18 15 4169 4461 0.25 80.0 52P6 10 24 29.4 48 32 38 2652 2988 0.20 50.4 52P7 10 25 25.2 47 20 06 168

30 Nov 1998: 54P1 10 38 51.56 46 49 17.2 26.9 25.8 0.24 21.4 54P2 10 39 01.57 46 31 55.0 26.5 26.9 ... 33.0 0.21 17.5 54P5 10 40 13.89 46 30 55.6 46.7 50.0 0.38 53.5 54P6 10 40 24.58 46 32

30 Nov 1998: 45 08 33.6 11.5 11.9 0.25 11.7 70P9 06 40 48.13 44 57 55.3 17.4 16.1 0.24 16.8 70P10 06 ... 40 54.55 45 34 02.3 14.5 32.1 0.24 13.4 70P11 06 40 55.71 45 35 26.7 18.0 32.1 0.24