### Table 1: Summary of the connectedness properties of a set that can be deduced from the limiting behavior of C( ) and D( ).

1998

"... In PAGE 4: ... The behavior of these quantities as ! 0 tells us whether or not the set is totally disconnected and how many connected components there are. The di erent cases are summarized in Table1 . In the next section, we present simple examples that illustrate some of the possible types of set and demonstrate the application of our results.... In PAGE 9: ... A set with in nitely many connected components The gasket relative in g. 4(d) is a fractal that illustrates the case from Table1 wherein S has in nitely many connected components and yet is not totally disconnected. It has the same component growth rate as the Cantor set above.... ..."

Cited by 1

### Table 7. Intermediate methods for the classical Cantor set.

"... In PAGE 17: ...scillate. It is probable that this is due to cumulative rounding errors. The matrix size is very large for these values of n, and double precision cannot guarantee more than 15 correct digits. Noting that the numbers in Table7 all have 15 digits, we conclude that we have reached the hardware precision in this example. It makes little sense to extrapolate the last two columns.... ..."

### TABLE I SLOTTED LINE ANTENNA DIMENSIONS

### Table 7.4: The measured antenna gains of the bow-tie slot antenna at 24 GHz and the tapered slot antenna.

2005

### Table 4: Comparison of the mean inter-cell time in unit of slots based on 20 replications. ( = 46:3) Fig. 5 shows the sample path behavior of the Sup-FRP model produced by both modules using the parameters given in Table 3. While the overall behavior matches closely, a closer look reveals that the detailed behavior di ers fairly. This implies that the quantization error is small enough so that overall statistical behavior is not a ected by the approximations. This

1996

"... In PAGE 16: ... By doing so, the fractal module for the BSTS can produce arrivals with desirable fractal properties with negligible error. Finally, Table4 shows that indeed the average inter-cell times of both modules closely follow the desirable value. All of these results convincingly show that the fractal module designed is able to accurately emulate fractal tra c at the very high rates.... ..."

Cited by 7

### Table 3: Jukes-Cantor pairwise distance estimates.

2006

"... In PAGE 33: ... An alternative approach is to estimate pairwise distances between species i, j using the formula in Proposition 12. The resulting metric on the set X = {gg, hs, mm, pt, rn, cf, dr, tn, tr, xt} is given in Table3 . For example, the pairwise alignment between human and chicken (extracted from the multiple alignment) has n = 14202 positions, of which k = 7132 are different.... ..."

Cited by 5

### Table 3: Jukes-Cantor pairwise distance estimates.

2006

"... In PAGE 6: ... The abbreviations refer to the Latin names of these organisms. They will be used in Table3 and Figure 4. From alignments of the ten genomes, the following hypothesis was derived, which we state in the form of a mathematical conjecture.... In PAGE 34: ... An alternative approach is to estimate pairwise distances between species i, j using the formula in Proposition 12. The resulting metric on the set X = {gg, hs, mm, pt, rn, cf, dr, tn, tr, xt} is given in Table3 . For example, the pairwise alignment between human and chicken (extracted from the multiple alignment) has n = 14202 positions, of which k = 7132 are different.... ..."

Cited by 5

### Table 2. Number of plots and the means, standard deviations, and ranges of fractal dimension estimates by region.

"... In PAGE 5: ... 3.2 Analysis of estimated models Initial analysis of the estimated models using the first set of data from region 1 ( Table2 ) did not pro- vide definitive information to decide whether the estimated regressions were all similar. The differ- ence in x2 values for the estimated unrestricted and partially restricted models was 5.... In PAGE 5: ... Region 1 included plots from both interior and coastal Alaska whereas region 2 plots were from the interior and region 3 plots were from southeast coastal Alaska. A second, independent sample was drawn from region 1 ( Table2 ). It was felt that if the second esti- mated model for region 1 proved to be similar to the first estimated model,-then observer learning could ... ..."

### TABLE 1 KNOWLEDGE BASE FOR BEHAVIOR IDENTIFICATION USING LYAPUNOV EXPONENTS AND FRACTAL DIMENSION

### Table 1: Lexicon Slots

"... In PAGE 24: ... The list was divided into ten sets of eight lexemes each, with no two words from the same noun phrase or homophone pair in each set. Ten volunteers were each given a set of lexemes and instructions on how to de ne them in accordance with the speci cation of JAPE-1 apos;s lexicon (see Table1 earlier). In their instructions, it was emphasized that they should provide only typical, speci c information about the lexemes they were to de ne.... ..."