### Table 6: Another example of index transitions based on WATA (W = 10, n = 4).

"... In PAGE 5: ... It is interesting to note that there are several ways to implement this type of lazy deletion. For example, Table6 presents a scheme that is slightly di erent from the one in Table 3, for the same W = 10, n = 4. We see that on the 10th day the example in Table 6 forms dif- ferent clusters for the four indexes than we had earlier.... In PAGE 5: ... For example, Table 6 presents a scheme that is slightly di erent from the one in Table 3, for the same W = 10, n = 4. We see that on the 10th day the example in Table6 forms dif- ferent clusters for the four indexes than we had earlier. The corresponding impact is that for Table 6, the total number of days indexed on days 11, 12, 13 is 11, 12 and 13, re- spectively.... In PAGE 5: ... We see that on the 10th day the example in Table 6 forms dif- ferent clusters for the four indexes than we had earlier. The corresponding impact is that for Table6 , the total number of days indexed on days 11, 12, 13 is 11, 12 and 13, re- spectively. However, for Table 3, the total number of days indexed on days 11, 12, 13 is only 11, 12 and 10.... In PAGE 5: ... We prove in [17] that the algorithm we present in [17] indeed follows the optimal lazy deletion policies. That is, we show that no other type of variation along the lines of Table6 could beat WATA. WATA maintains soft windows and thereby uses more space to store the extra days of data.... ..."

### Table 2. Transition based operational semantics for MBC, where a 2 a195 , b 2 a196 and bin stands for any

### Table 4: Quantum numbers of KK resonances.

"... In PAGE 25: ... Now, let us see (Fig. 11c) what happens in the nal state with a charged pair of Ks, where apos;s and f0 apos;s cannot be produced (see Table4 ). This Dalitz plot is ideally suited to extract the strength of a0 and a2 production, without the problem of overlap with nearby f0 and f2.... ..."

### Table 5. Several subsets of semiclassical and quantum resonances for d : R = 6. The A1 subspace resonances are plotted in Fig. 4.

### Table 8 Semiclassical and exact quantum mechanical resonances for the three disk scattering problem (A1 subspace) with R quot;1, d quot;6. Resonances k)* have been obtained by harmonic inversion of the periodic orbit sum, resonances k#% (cycle expansion) and the exact quantum resonances k2. have been calculated by Wirzba

in USE OF HARMONIC INVERSION TECHNIQUES IN SEMICLASSICAL QUANTIZATION AND ANALYSIS OF QUANTUM SPECTRA

"... In PAGE 68: ...onic inversion of the periodic orbit sum, and results of Wirzba [14,15,113], i.e., the cycle expansion resonances k#% calculated up to 12th order in the curvature expansion of the Gutzwil- ler}Voros zeta function, and the exact quantum resonances k2. is given in Table8 for resonances 300... In PAGE 69: ...Same as Table8 but for resonances with 120(Re k(132 Rek)* Imk)* Rek#% Imk#% Rek2. Imk2.... ..."

### Table 10 Semiclassical and exact quantum mechanical resonances for the three disk scattering problem (A1 subspace) with R quot;1, d quot;2.5. Resonances k)* have been obtained by harmonic inversion of the periodic orbit sum, resonances k#% (cycle expansion) and the exact quantum resonances k2. have been calculated by Wirzba

in USE OF HARMONIC INVERSION TECHNIQUES IN SEMICLASSICAL QUANTIZATION AND ANALYSIS OF QUANTUM SPECTRA

"... In PAGE 71: ...in the curvature expansion of the Gutzwiller}Voros zeta function, and the exact quantum resonances k2. is given in Table10 . The cycle expansion and exact quantum calculations have been performed by Wirzba [113].... In PAGE 71: ...esonances k2. is given in Table 10. The cycle expansion and exact quantum calculations have been performed by Wirzba [113]. The results of both semiclassical methods are in good agreement, although a detailed comparison reveals that for some resonances towards the end of Table10 the values of the cycle expansion are somewhat closer to the exact quantum mechanical results than those values obtained by harmonic inversion. J.... ..."

### Table 10 Semiclassical and exact quantum mechanical resonances for the three disk scattering problem (Ap16 subspace) with R quot;1, d quot;2.5. Resonances kp8p9 have been obtained by harmonic inversion of the periodic orbit sum, resonances kp2p4 (cycle expansion) and the exact quantum resonances kp17p13 have been calculated by Wirzba

"... In PAGE 71: ...in the curvature expansion of the Gutzwiller}Voros zeta function, and the exact quantum resonances kp17p13 is given in Table10 . The cycle expansion and exact quantum calculations have been performed by Wirzba [113].... In PAGE 71: ... The cycle expansion and exact quantum calculations have been performed by Wirzba [113]. The results of both semiclassical methods are in good agreement, although a detailed comparison reveals that for some resonances towards the end of Table10 the values of the cycle expansion are somewhat closer to the exact quantum mechanical results than those values obtained by harmonic inversion. J.... ..."

### Table 8 Semiclassical and exact quantum mechanical resonances for the three disk scattering problem (Ap16 subspace) with R quot;1, d quot;6. Resonances kp8p9 have been obtained by harmonic inversion of the periodic orbit sum, resonances kp2p4 (cycle expansion) and the exact quantum resonances kp17p13 have been calculated by Wirzba

"... In PAGE 68: ...e., the cycle expansion resonances kp2p4 calculated up to 12th order in the curvature expansion of the Gutzwil- ler}Voros zeta function, and the exact quantum resonances kp17p13 is given in Table8 for resonances 300... In PAGE 69: ...Same as Table8 but for resonances with 120(Re k(132 Re kp8p9 Im kp8p9 Re kp2p4 Im kp2p4 Re kp17p13 Im kp17p13 120.0966075 !0.... ..."

### Table 7: The Weights of Evidence

"... In PAGE 18: ... In a general way, in cases where there is missing data, then the likelihood is set equal to 1 or the weight equal to 0. The evidences as estimated from the data are presented in Table7 . Note that positive evidence does not imply a positive coefficient or vice versa in these computations.... In PAGE 18: .... The evidences as estimated from the data are presented in Table 7. Note that positive evidence does not imply a positive coefficient or vice versa in these computations. The weights to compute transition probabilities for each cell with respect to the five land use transitions are based on the values in Table7 . These are used in equation (30) with the prior probabilities set in proportion to the observed transition aggregated across all zones.... ..."

### Table 1: Some possible objections to quantum computation, and some responses

"... In PAGE 8: ... Searching for (and nding) new and useful quantum algorithms may be the most e ective way of bringing quantum computing closer to fruition as a commercial enterprise. Some of the commonly expressed reasons for skepticism about quantum computing are listed in Table1 , along with some countervailing views. 4 How will we build one? Quantum computing hardware is clearly in its infancy.... ..."