### Table 4 notes some complexity statistics for both triphone systems and our best syllable system. Notice that the number of models has dropped by an enormous amount from the context-dependent cross- word triphones to the context-independent syllables. The number of total states is a somewhat misleading statistic since the triphone systems use state-tying. Though the syllable system contains more states than

1998

"... In PAGE 3: ...5% 13.2% System Logical Models Real Models Number of States XWRD Triphones 25202 3225 2045 WINT Triphones 25202 1011 249 Syllables 42 42 900 Table4... ..."

Cited by 6

### Table 5: Student use of activities (N=25)

1997

"... In PAGE 9: ... Thus, the students had an enormous amount of information in their design notebooks. The final task was to encourage students to assess their personal progress over the course of the semester by completing a survey that is identical to the initial survey (refer to Table5 for a sample). The students were then asked to compare the two surveys, noting areas of significant... ..."

Cited by 4

### Table 2 shows the number of rows, the number of columns, and the number of nonzeroes for each of these instances for the weak x-formulation as well as the time it takes to solve the LP relaxation. The di erences are enormous. It is clear that the strong x-formulation has limited, if any, value in attempting to get schedules for any realistic size instances in a reasonable amount of time. In the second experiment, we try to gain insight in the impact of the chosen formula- tion on the quality of the nal schedule. The rst part of Tables 3, 4, 5 and 6 shows for the Schedule-by-Best- heuristic the length of the schedule produced by the -heuristic 11

"... In PAGE 12: ...Table2 : Weak x-formulation Name #rows #cols #nz cpu (secs) i8o63ja 733 8683 125384 58 i8o63jb 733 8683 125384 59 i8o63jc 850 11389 184999 118 i8o65ja 837 9867 158257 208 i8o65jb 1045 10713 167602 252 itself, the length of the schedule produced by the -heuristic combined with the three improvement schemes, and the time it takes to nd that schedule. The second part of Tables 3, 4, 5, and 6 shows the best schedules found if the ordering heuristic is embedded in a branch-and-bound algorithm and we allow one hour of computing time.... ..."

### Table 4: Branch and cut results: feasible instances. Infeasible instances The instances not having a feasible solution are much harder to tackle by a branch and cut framework, since it is more di cult to nd linear constraints that improve the lower bound. The lack of combinatorial bounds also translates into very weak linear programming relaxations. Some constraints that have been incorporated in the framework are based on cliques in the interference graph in which the minimal distance between each of the links in the clique is (much) larger than one and the penalties of the constraints are all large. Also, we have been able to add constraints that, given we assign to a link from a certain set of frequencies, force either another link to be assigned or at least one constraint to be violated. Up to now, experiments have been performed for two test problems, which we proved to be infeasible (Table 5). The lower bounds, however, are very poor. For CELAR07 we obtained only poor solutions, since our strategies so far are designed to nd lower bounds, instead of good solutions. The time required to generate the lower bounds and best value is approximately 30 minutes.

1995

"... In PAGE 7: ... The generation of such solutions enormously reduces the amount of work to be performed. Table4 below lists some computational results using branch and cut on the feasible RLFAP instances using the pre-processed formulations in 3.... ..."

Cited by 2

### Table 4: Complexity of triphone and syllable systems

1998

"... In PAGE 3: ... Not only do the syllable models achieve a lower word error rate, but they do so in a more efficient manner. Table4 notes some complexity statistics for both triphone systems and our best syllable system. Notice that the number of models has dropped by an enormous amount from the context-dependent cross- word triphones to the context-independent syllables.... ..."

Cited by 6

### Table 1: Free-Space Link Power Budget. Parameter Value dBm

"... In PAGE 16: ... However, measurements for lower BERs were not performed due to the enormous amount of time required for such measurements. The power budget for the free-space link is shown in Table1 for the 1 orders. A measured laser power of 1mW exiting the VCSEL and incident on the hologram after some minor losses at the lenslet array is split into 0:12mW for the 1 orders and approximately 0:3mW for the zeroth order.... ..."

### Table 1. Trace statistics including 7 traces in which a client with abnormal behavior is detected. Percentages are with respect to: (1) Total bytes; (2) Total # of packets; (3) # of DNS packets; (4) # of Queries.

"... In PAGE 7: ...NET and for each packet trace file, it would decompress it and send it to ReadDump for processing. 4 Results In Table1 and 2, the statistical results of the analysis are presented. 4.... In PAGE 7: ... 4.1 Location #1: Server Failures What immediately came to attention is the enormous amount of returned server failures at location #1 (see Table1 ).... ..."

### Table 6. Performance data of PSATO on hard quasigroup problems. #P = number of machines. A work day equals 8 h. (*) means no idempotency.

1996

"... In PAGE 15: ... Since few heuristic methods can help to cut the search space, this requires an enormous amount of computing time. From Table6 , it is clear that the use of distributed programs on networked workstations is indispensable to our success. For instance, it would require approximately 240 days of continuous running on a single workstation to solve QG5(14) (without idempotency).... In PAGE 16: ... This empirical rule does not apply to satisfiable SAT problems. P-measures of all the problems in Table6 are given in the last column. Note that the P-measure of QG2(10) is 25.... ..."

Cited by 30

### Table 5 The Microeconomics of Happiness in Europe: 1975-86

1997

"... In PAGE 12: ...s not the drop in take-home income. It is the non-pecuniary distress. To put this differently, most regression results imply that an enormous amount of extra income would be required to compensate people for having no work. Eurobarometer data, in Table5 and Figure 1, also show that the unemployed feel much less satisfied with life6, and indicate that the relative distress from unemployment does not appear to be trending downwards through the years (the apos;unhappiness gap apos; is not secularly shrinking). In passing, this might be thought to raise doubts about the oft-expressed view that an increasingly generous welfare state is somehow at the root of Europe apos;s economic problems.... ..."