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We have to choose the least expensive alternative as the nal plan for the query. Since there are four plans and each join can be done utilizing nested-loop or sort merge, we will have eight different options. Among these, plan Pbac costs the least since it can be done on-the- y. All other plans require scanning of at least one relation and therefore cost more. The optimizer produces the plan shown in Figure 4.7 as the optimum plan. Surprisingly enough, this plan is what we indicated as the best plan in our analysis in Section 4.4.2.1. Example 4.3 In this example we will use dynamic programming (DP) to join ve relations. In Example 4.2, we applied DP to a three-way join. Although the details of DP were highlighted in Example 4.2, the example had a small number of alternatives



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1 and the probability is near 1. Now what is the probability that n Xi 3 1 is greater than 4 given that X1 , X2 , . . . , Xn are Bernoulli( 3 ) This is a large deviation, and the probability is exponentially small. We might estimate the exponent using the central limit theorem, but this is a poor approximation for more than a few standard deviations. We note that 1 Xi = 3 is equivalent to Px = ( 1 , 3 ). Thus, the probability that Xn is n 4 4 4 near 3 is the probability that type PX is near ( 3 , 1 ). The probability of 4 4 4 3 1 1 2 this large deviation will turn out to be 2 nD(( 4 , 4 )||( 3 , 3 )) . In this section we estimate the probability of a set of nontypical types. Let E be a subset of the set of probability mass functions. For example, E may be the set of probability mass functions with mean . With a slight abuse of notation, we write





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When the Colorize option is selected, Hue becomes an absolute value measured from 0 to 360 degrees. A Hue value of 0 is red, 30 is orange, and so on, as described in 4.

FIGURE 24-7

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period). Additional to the system level issues, the latchup robustness of advanced technology are signi cantly low because of the technology scaling of the latchup critical parameters. Hence, with both system and technology evolution, the reasons for the increased concern for this issue are the following: WAN and LAN integration; Category 5 and 6 LAN cabling; high level incidents of disconnection; high level incidents of reconnections. TVS devices can be used in many environments from one pair of high-speed differential signals (two lines) used in standard 10BaseT (10 Mbits/s), 100BaseT (100 Mbits/s), or 1000BaseTX (1 Gbit/s over copper) Ethernet transceiver interfaces. TVS devices sometimes uses compensation diodes in a full-bridge con guration to reduce the capacitance loading effects, allowing signal integrity to be preserved at the high transmission speeds of GbE interfaces. TVS devices can be below 10 pF capacitance loading and can achieve 100 A (8/20 ms) surge. ESD design objectives of TVS devices include the following: number of protection elements per signal pins; low maximum reverse standoff voltage ; low capacitance (1 10 pF); low clamping voltages (near peripheral I/O power supply voltage of semiconductor chip levels); achieve Telcordia GR-1089 intrabuilding lightning immunity requirements (100 A, 2/10ms pulse durations); peak pulse power maximum (in Watts for 10 100 ms pulse duration time scales); minimize board area. Hence, to address chip-level and system-level electrical overstress events (e.g., EOS, ESD, CDE, and lightning), TVS devices are used as a rst line of protection. In future, TVS devices will need to be of low cost, low capacitance, and be able to require a minimum of board area.

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