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In this section, we see how to estimate the size of the result of a join The Cartesian product r s contains nr ns tuples Each tuple of r s occupies lr + ls bytes, from which we can calculate the size of the Cartesian product Estimating the size of a natural join is somewhat more complicated than estimating the size of a selection or of a Cartesian product Let r(R) and s(S) be relations If R S = that is, the relations have no attribute in common then r 1 s is the same as r s, and we can use our estimation technique for Cartesian products If R S is a key for R, then we know that a tuple of s will join with at most one tuple from r Therefore, the number of tuples in r 1 s is no greater than the number of tuples in s The case where R S is a key for S is symmetric to the case just described If R S forms a foreign key of S, referencing R, the number of tuples in r 1 s is exactly the same as the number of tuples in s The most dif cult case is when R S is a key for neither R nor S In this case, we assume, as we did for selections, that each value appears with equal probability Consider a tuple t of r, and assume R S = {A} We estimate that tuple t produces ns V (A, s) tuples in r 1 s, since this number is the average number of tuples in s with a given value for the attributes A Considering all the tuples in r, we estimate that there are nr ns V (A, s) tuples in r 1 s Observe that, if we reverse the roles of r and s in the preceding estimate, we obtain an estimate of nr ns V (A, r) tuples in r 1 s These two estimates differ if V (A, r) = V (A, s) If this situation occurs, there are likely to be dangling tuples that do not participate in the join Thus, the lower of the two estimates is probably the more accurate one The preceding estimate of join size may be too high if the V (A, r) values for attribute A in r have few values in common with the V (A, s) values for.

In the first step, make sure the secondary appliance is not connected to the network If the secondary appliance has any configuration on it, erase it:

The McGraw Hill Companies, 2001

Once the secondary unit is turned off, cable up the appliances, making sure you plug the primary end of the serial cable into the primary appliance, and the secondary end of the cable into the secondary appliance Also connect the data interface to your switches and the stateful link connection if you ll be enabling stateful failover NOTE When cabling up the appliances, if e0 on a PIX or e0/1 on an ASA is connected to the outside on the primary, you must also cable it up this way on the secondary The cabling of the interfaces of the two appliances must match