### Table 10. Estimates of the Exponent #0B of Stable Distribution

1995

### Table 2: Resulting exponents in node W1. Only the exponents for the input and one of the three slots are shown. The exponents for node `a apos; and `A apos; are half of the exponent for `OR-a apos;. An example of the resulting exponents is shown in Table 2. One can see from the Table that the exponent for the input from the node `OR-a apos; is twice as high as the exponents for `a apos; and `A apos;. The latter

### Table 9: Estimated Pareto Exponents for Returns by Rating

"... In PAGE 23: ... In each case, the return distribution is a Pareto distribution. The estimated parameter values are given in Table9 for all movies. The extreme values of return are overwhelmingly earned by low-budget movies.... ..."

### Table 1 Exponents of various distributions as measured in the fossil record, and in some of the models described in this review.

"... In PAGE 43: ... Much of the interest in these models has focussed on their ability (or lack of ability) to predict the observed values of exponents governing distributions of a number of quantities. In Table1 we summarize the values of these exponents for each of the models. Most of the models we have described attempt to provide possible explanations for a few specific obser- vations.... ..."

Cited by 1

### Table 1: Node capacity distribution

"... In PAGE 7: ... We use the same bounds on the indegree of nodes in HeteroPastry. The capacity of a node (in both overlays) is selected when it joins according to the prob- abilities in Table1 , which were taken from [10]. Figure 3 plots the maintenance overhead in messages... ..."

### Table 2: Canonical k-SR recoding distributions for 512-, 768-, 1024-bit exponents. The

in Almaden Austin Beijing Haifa T.J. Watson Tokyo Zurich Abstract On String Replacement Exponentiation

"... In PAGE 8: ...Wehave calculated E[w k;;SR (e)] and Var[w SR (e)] for k in the range 2 k 5, which appears to cover those values of practical interest. Wehaveveri ed that E[w k;;SR (e)] in this range is given as in (1) and the variances are given in Table2 . For example, we can now conclude that a 4-SR recoding of a 512-bit exponentwillhaveaweightbetween 128 and 145 with probability greater than a half, and a weightbetween 125 and 148 with probability at least three quarters.... In PAGE 8: ... For example, we can now conclude that a 4-SR recoding of a 512-bit exponentwillhaveaweightbetween 128 and 145 with probability greater than a half, and a weightbetween 125 and 148 with probability at least three quarters. Considering the last row from Table2 we see that for 1024 exponents and k =5,E[w SR (e)]=E[w k;;SR (e) 0:97, and that the deviations up to p =0:75 are quite similar. Thus a large amount of the potential weight reduction from canonical recoding canbeachieved by k = 5 for 1024 exponents.... In PAGE 8: ... Thus a large amount of the potential weight reduction from canonical recoding canbeachieved by k = 5 for 1024 exponents. Table2 complements the computational results presented in Table 2 of [5] by bounding the deviation from the expectations. We remind the reader that the deviation bounds in Tables 1 and 2 are based on Chebyshev apos;s inequality and more precise information for a given exponent length n (say n = 160 as in Figure 1 below) can be obtained by expanding G k;;SR (x;; z)asapower series.... In PAGE 8: ... Thus a large amount of the potential weight reduction from canonical recoding canbeachieved by k = 5 for 1024 exponents. Table 2 complements the computational results presented in Table2 of [5] by bounding the deviation from the expectations. We remind the reader that the deviation bounds in Tables 1 and 2 are based on Chebyshev apos;s inequality and more precise information for a given exponent length n (say n = 160 as in Figure 1 below) can be obtained by expanding G k;;SR (x;; z)asapower series.... ..."

### Table 1: Node capacity distribution

2004

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### Table 1: Node capacity distribution

2004

Cited by 6

### TABLE V VARYING NODE DISTRIBUTION.

2003

Cited by 1

### TABLE V VARYING NODE DISTRIBUTION.

2003

Cited by 1