"... In PAGE 9: ...rem 7.6 (iii)]). As an example we consider LECU:=LCG(261?1, 1351750484049952003, 0, 1) from the recent tables of LCGs with good lattice structure derived by L apos;Ecuyer [1999]. Table3 shows normalized spectral tests values Ss and certain (non-normalized) results 1=d2 s of consecutive blocks obtained from LECU. The upper table contains those test results Ss for large block lengths l = b(m ? 1)=kc, 2 k 200 and dimensions 2 s 8, where Ss 0:1 for at least on dimension s.... In PAGE 9: ... The upper table contains those test results Ss for large block lengths l = b(m ? 1)=kc, 2 k 200 and dimensions 2 s 8, where Ss 0:1 for at least on dimension s. Table3 exhibits the strong \long-range quot; correlations between consecutive streams with large block size. Note that such correlations appear also for small block lengths, for examples see [Entacher 1998a].... In PAGE 10: ...latter authors applied their concepts only in dimension two for computational and mathematical reasons. The results in Table3 require to perform any long-range correlation analysis or calculations of critical distances also in higher dimensions s. A theoretical veri - cation of the results in the lower table in Table 3 can be done in the same way as performed for Table 1 and these results are valid for arbitrary primitive roots a modulo m.... In PAGE 10: ... The results in Table 3 require to perform any long-range correlation analysis or calculations of critical distances also in higher dimensions s. A theoretical veri - cation of the results in the lower table in Table3 can be done in the same way as performed for Table 1 and these results are valid for arbitrary primitive roots a modulo m. Note that the bad results occur for small divisors k of the period of LECU.... ..."

"... In PAGE 6: ... (1993) and the SimpleBox model included in the European Union System for the Evaluation of Substances (EUSES) model used in the European Union (EC, 1996). Table1 lists a number of available models used to predict persistence and long-range transport. Table 1: Models used to predict contaminant persistence and long-range transport.... ..."

"... In PAGE 81: ...0M envelope for the remainder of the plan with no further increases for either inflation or new applicants. The budgetary recommendations for this scenario are presented in Table2 . Under these conditions the LRPC recommends flatlining all of the Experimental Operations, Theory, MFA/Infrastructure, and R amp;D/ Instrumentation categories at approximately their current absolute dollar values.... In PAGE 82: ... Even with these restrictions on operating funding, the status quo funding scenario would require serious descoping of this vision. As indicated in Table2 , reduced capital would be available for ATLAS upgrades within the first five years of the plan. The capital available in the second five years of the plan would be sufficient to allow a significant Canadian role in the science program at only one of the ILC or an upgraded LHC, and the capital funds available for detector contributions at such a future energy-frontier Table 2: Canadian Subatomic Physics Long-Range Planning Committee Status Quo Budget (in $M).... In PAGE 85: ... The conclusion of the LRPC was that if the community were faced with such a scenario, investments in capital during the first five years of the plan must be protected in order to preserve some future prospects for the discipline should the funding scenario improve in later years. The recommended capital investments within the first five years are thus unchanged relative to Table2 , and the severe cuts associated with this funding scenario during the first five years are therefore extracted entirely from operating funds. The largest fraction of these cuts would necessarily come from experimental operations, which would be reduced to a level that would both decrease the diversity of the community and compromise its ability to extract significant physics from the major investments of the past decade.... ..."