### Table 1: Non-Zero Values of dijk for M = 1; One-Dimensional Polynomials.

"... In PAGE 12: ... Values for the coe cients dijk can be calculated ahead of time and tabulated. Table1 shows one such table for the one dimensional case where a single random variable 1 is used to characterize the randomness of the problem; this would correspond to the case where only one property is modeled as a random variable. Once the coe cients in the expansion of the solution process have been evaluated, the variance of the solution can be readily obtained.... In PAGE 17: ... This is consistent with the notion that a random variable is a limiting case of a stochastic process as its correlation length becomes very large, thus allowing one term in its Karhunen-Loeve expansion to substantially dominate over all others.Obviously, the coe cients dijk associated with the four-dimensional expansions in this example must be obtained from a table similar to Table1 developed speci cally for the... ..."

### Table 2 AFSIRS model and GWRAPPS simulation results for a single farm growing pasture in Alachua County Month Median year irrigation (cm) 1-in-5 year drought irrigation (cm) 1-in-10 year drought irrigation (cm) AFSIRS GWRAPPS

2003

"... In PAGE 6: ... The third approach is identical to the second approach except the analysis is conducted using all the soils found within the farm. Table2 gives the monthly and annual irrigation requirements for median, 1-in-5, and 1-in-10 year drought irrigation scenarios for pasture using the three approaches outlined above.... ..."

### Table 2: Single-hop Homogeneous Sources Simulation Results. Entries in italics indicate simulations with non-zero loss rate.

"... In PAGE 6: ...In the following three subsections, we present results from simulations on the ONE-LINK topology. A summary of the results is presented in Table2 . Each row of the table contains results from up to six simulations using the source model named at the leftmost column and the admission con- trol algorithm indicated at the head of the columns.... In PAGE 6: ... 5.1 Single-hop Results The first two columns of Table2 show results from simu- lation using the Simple Sum parameter-based admission control algorithm. There are no lost packets.... In PAGE 6: ... Since the acceptance region algorithm does not artificially adjust its measurement values upon admittance of a new flow, and given its point sampling measurement process, we do not see any significant dif- ference in performance between simulations using derived peak rates and token rates as peak rates. The two columns of Table2 under the heading Eqv. Bw.... ..."

### TABLE II NUMBER OF NON-ZERO COEFFICIENTS FOR DIFFERENT VALUES OF L

### Table 4. Propagation of non-zero difference in internal state of the rekeying

2005

"... In PAGE 9: ... The larger the number of non-zero words used as input to the non-linear function, the more complex the resulting output. The key schedule of Dragon is designed so that after 12 rounds, even an initial difference of single word differ- ence is propagated to all words in the internal state (see Table4 ). Since there are 16 rounds, this is an ample margin to ensure an attacker is unable to determine the state contents after rekeying.... ..."

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### Table 2: Path Cardinality and Non-Zero Overlap

"... In PAGE 3: ... This overlap represents a reduction of the bene t when evaluating both paths. Figure 3 visualizes the ve overlapping paths with the path cardinality and overlap given in Table2 . We note that for simplicity of the example, we do not use the exact values from Table 1.... ..."

### Table 2: Number of non-zero elements in the mask for di erent values of parameter !.

"... In PAGE 10: ...ations of the constrained CG method and the accuracy achieved as measured against the exact solution. In Table2 we show the number of non-zero ele- ments in the mask used in the computation. This adaptive method allows to speed up computations and is particu- larly suitable for large scale problems in scienti c computations.... ..."

### Table 2 Non-zero basic histogram values for images (a) and (b) in Fig. 1

in 1 2 3

2000

"... In PAGE 6: ...etrieval performance. Fig. 1 shows two testing images. (They have different colours, as shown in their histo- grams, although they look similar in the printed form.) Table2 shows the non-zero basic histogram values of these two images. The numbers for L, u and v indicate representative values as shown in Table 1.... ..."

### Table 24 - Response to non-zero reserved fields or reserved code values SMS Name Resulting SMS Notes

### Table 1: Non-zero coe cients and scaling factors of the -rotations W

1997

"... In PAGE 3: ....2.1. Example: N = 128, M =8 Figure 7 shows the frequency response of a length-128 pro- totype for an 8-channel cosine-modulated lter bank de- signed with the QCLS-algorithm [3] and of the prototype allowing an e cient realization. The non-zero values i;;v and i;;v of the -rotations in (3) are listed in Table1 . The rst index denotes position of the -rotation for a xed angle.... ..."

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