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Of course, the distribution will determine the sidelobe levels in the pattern. With only 3 bits, we can expect the peak sidelobes to rise above 30 dB. Quantization lobes exceed these levels for scan angles close to broadside. This example and Eq. (12-20) show that the sidelobe level is proportional to 10 log(N ).

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longer be interpreted as an excess return. Rather, it is an insurance premium that is collected by arbitrageurs in months when the stock market is at and appreciating. For the privilege of collecting this insurance premium, arbitrageurs pay large claims in months when there are severe market dislocations. Accurately controlling for the risk in merger arbitrage is more complicated than simply calculating beta from a CAPM-type regression. Merger arbitrage is akin to selling out-of-the-money put options on the market (another insurance strategy). Therefore, merger arbitrage returns should be compared with returns from selling put options. Any return obtained in excess of the return obtained from selling put options can be viewed as excess return.

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Optimization in entertainment: Information is critical to the allocation of resources in the entertainment industry. For example, many sports teams are utilizing data concerning player and team performances, strategies, and salary costs. This data is being used to optimize the make-up of individual teams, ensuring the best player combinations at an optimal cost. At the same time, individual game tactics can emerge from an analysis of the data, and models are even built to minimize athletes injuries. In another example, hotels and resorts gather extensive information for analysis, generating models that help to predict the most pro table daily room price by optimizing occupancy. These models often take into account both historical purchasing information and data concerning the local market. Maximizing advertisement effectiveness: Many factors contribute to the effectiveness of an advertisement campaign. Data mining approaches are being used to ensure the campaigns are pro table. These approaches make use of historical data to better predict the most effective media to utilize, such as television,

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A VSI can also operate in closed-loop current-controlled mode [11]. The power control of a current-controlled VSI can be explained with the phasor diagram in Figure 12.8b. The power injected into the grid can be expressed in per-unit values as Ps Vs Is cos f Qs Vs Is sin f 12:5 12:6

where the last equality follows by differentiation in (8.61) and by setting s = t. Y Equation (8.64) implies that r20,d0 (t, t) is uniformly positive de nite on t Sv , meaning that its minimum eigenvalue has a strictly positive lower bound. Based on (8.62) and (8.63), this already shows that inf{ t (s) : t Sv , s S, s = t} > 0. The foregoing argument also shows that inf{ (a t )d0 (t) : t Sv , S d0 1, s = t} > 0, since whenever t Sv , one has a t (s) = r(s, t), so that (a t )d0 (t) = r20,d0 , (t, t). To end up, assume that there is no neighborhood W of Sv satisfying (8.59). In that case, using a compactness argument, one can nd two convergent sequences {sn } S, {tn } Sd0 , sn s0 , tn t0 Sv such that tn (sn ) may be . 0. (8.66) (8.65)

Notice that the identity of listvar is different from the identity of the converted list tupvar. Note also that listvar is a list with the items enclosed in [] and that tupvar is a tuple with its arguments enclosed in (). Similarly, a tuple can also be converted to a list by using the list() function. For example,

BandA B C D a b c d e width (MHz) (MHz) (MHz) (MHz) (dB) (dB) (dB) (dB) (dB) unit (MHz) 1.25 2.5 5.0 10.0 20.0 Video Video 0.9 1.8 3.6 7.2 14.4 12.6 24.0 1.13 2.25 4.50 9.00 18.00 15.75 30.00 1.50 2.75 5.25 10.25 20.50 18.00 4.0 8.0 13.0 19.0 28.0 26.5 0.7 0.7 0.5 0.3 0.3 0.3 2.5 1.5 1.5 2.0 2.5 2.5 2.5 2.5 3.0 2.5 3.0 5.0 7.5 6.5 25 25 25 25 25 25 0.0 0.0 0.0 0.1 0.1 0.1 0.3

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