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whi ch relates the pf angle to P and Q in what is called the pOlVer 'riangle. The re lationships among S, P, and Q can be expressed via the diagrams shown in Figs. 9. 13b and c. In Fig. 9.l3b we note the fo llowing conditions. If Q is positive, the load is inductive, the power factor is lagging, and the complex number S lies in the firs t quadrant. If Q is negative, the load is capacitive, the power factor is leading, and the complex number S lies in the fourth quadrant If Q is zero, the load is resistive, the power factor is unity, and the complex number S lies along the positive real axis. Figure 9.13c illustrates the relati onships expressed by Eqs. (9.35) to (9.37) for an inductive load. In I, we in troduced Tellegen's theorem, which states that the sum of the powers absorbed by all elements in an electrical network is zero. Based on this theorem, we can also state that complex power is conserved in an ac network-the total complex power delivered to any number of indi vidual loads is equal to the sum of the complex powers delivered to the loads, regardless of how loads are interconnected.

(c) Assume the individual entries of u have a Gaussian distribution, so that i = 2u: (for complex-valued random variables; ct = 302 for real-valued random variables). Evaluate the MSD and EMSE in this case.

schemes, we haveK - l independent variables in S. Hence, the optimization task is a - 1 K dimensional optimization under a constraint [198]. It is a standard practice to introduce a modified object function using a Lagrangian multiplier and convert the problem into a set of one-dimensional optimization problems. The modified object functionA can be formulated employing a Lagrangian multiplier X [ 1981 as:

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n Color bar: The bar along the bottom of the Color palette displays all colors in the CMYK spectrum. Click or drag inside the color bar (your mouse pointer turns to an eyedropper when you re pointing in or on the bar) to make the color you choose the current foreground or background color. Which color it becomes depends on whether the foreground or background icon is selected. The sliders update as you drag. Alt-click (Option-click on the Mac) or drag to lift the background color if the foreground icon is selected or the foreground color if the background color is selected. You needn t accept the CMYK spectrum in the color bar, however. To change to a different spectrum, just choose the spectrum from the palette menu. Or Shift-click the color bar to cycle through the available spectrums. You can opt for the RGB spectrum, a blackto-white gradation (Grayscale Ramp), or a gradation from the current foreground color to the current background color (Current Colors). The color bar continuously updates to represent the newest foreground and background colors. Notice the black and white squares at the right end of the color bar You can click them to set a color to absolute black or white. But if all you want to do is set the foreground color to black, don t bother with the Color palette just press D. For white, press D and then X. The first shortcut restores the foreground and background colors to black and white, respectively; pressing X swaps the colors to make white the foreground color and black the background color.

The purpose of this section is to give you a quick overview of how to create and open images in Photoshop. These are the very basic operations that you need to understand before you can move onto editing. The following sections give a brief overview of creating new images, opening existing images, and saving images in Photoshop.

ect- and technology-dependent . At first glance, allowing the system to automatically calculate dependencies looks attractive . However, a closer analysis

You also can place a guide at a specific location horizontally or vertically, using the View New Guide command and dialog box. Choose the direction the guide should go, and enter a specific measurement on the ruler (although the ruler need not be displayed at the time), and click OK to create the guide.

y(k) =

10 words that satisfy this in the file CROSSWD .TXT (they are quad, quag, quai, quay, quey, quid, quip, quit, quiz, quod). This is out of all the four-letter words starting with q (which also includes quid and qoph to make a total of 12). Finally, equation 4.4 says P(BIC)is the ratio of these two numbers, so it is 10/12, as claimed above. Here is one more way to think about conditional probability. Let n be the total number of possibilities. Then equation 4.5 holds.

If you read the section on PCI Ethernet adapters, you know that they are my first choice for desktop PCs. However, I m not a big fan of PCI wireless adapters. My major gripe with these cards has to do with the position of the antenna, located on the back of the card. After you ve installed the card and put your PC back under your desk, you may find that the antenna is in a less-than-optimal position to receive the signal from the access point. If this happens, there s not much you can do to correct the situation, short of moving the PC, the access point, or both.

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