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Two basic methods are used to manufacture optical fiber. One method requires the deposit of chemical vapor or gas with impurities within a tube prior and during its heating. The soot produced by the heating process results in impurities that define the index of refraction (refractive index). As we will note later in this chapter the refractive index dif, ference between the core and the outer area of a fiber which is referred , to as the cladding, results in light pulses remaining inside the fiber. The deposit of chemical vapor or gas is referred to as modified chemical vapor deposition (MCVD). A second fiber fabrication process results in vapor deposits placed on the outside of the tube. This process is referred to as outside vapor deposition (OVD).

17. We do (a), (c), (e), and (g). (a) f g (x) = [(x + 1)2 ]2 2(x + 1)2 ; g f (x) = ([x 2 2x] + 1)2 . 2 (c) f g (x) = sin(cos(x 2 + x) cos (x 2 + x)) 2 g f (x) = cos(sin (x x 2 ) + sin(x x 2 )) 2 (e) f g (x) = sin(ln (x 2 + 2x) ln(x 2 + 2x)) 2 g f (x) = ln(sin (x 2 x) + 2 sin(x 2 x)) (g) f g (x) = [(2x 1)(x + 2)] [(2x 1)(x + 2) 1] [(2x 1)(x + 2) + 3] g f (x) = [2x(x 1)(x + 3) 1] [x(x 1)(x + 3) + 2] 18. We do (a), (c), (e), (g). (a) f is invertible, with f 1 (t) = (t 1)1/3 . (c) h is invertible, with h 1 (t) = (sgn x) x 2 . (e) h is invertible as long as we restrict the range to the positive real numbers. Then the inverse is f 1 (t) = (1/3) ln t. (g) f is not invertible because cot( /2) = cot(5 /2) = 0.

mouse button so you can see some of the mechanics of this effect. Notice that a preview outline appears that matches your object. This indicates the position of the new shadow once you release the mouse button. Notice also that a white marker has appeared in the center of the object, and that another marker has appeared under the cursor as you drag it. A slider control has also appeared at the midpoint of a dotted guideline joining the two markers.

Controlling Shadow Opacity The Opacity slider controls shadow transparency; the bitmap that represents a shadow can be set to a uniform opacity value between 0 (transparent) and 100 (opaque) percent. Adjusting Shadow Feathering Feathering is the falloff at the edges of the bitmap shadow. New shadow effects are applied with a feathering value of 15 percent. The feathering value may be set between 0 and 100 percent. Increasing the feathering value extends the edge of the shadow outward, creating a larger bitmap. Feathering can be adjusted only by using the Property Bar Feathering slider.

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As you have built the universe, you have done a number of integrity checks. In modifying the SQL of individual objects, you should have parsed each one. The parse validates that you have entered the SQL correctly. In building joins, you have detected cardinalities and loops to create contexts and aliases. The overall universe integrity check becomes a final chance to catch anything you may have missed in earlier stages. If you are using linked universes, it checks the integrity in both the kernel and derived universes. It also will determine if anything has changed in the data source structure that would make an existing object or join invalid. To check the integrity of a universe, select the pull-down menu Tools | Check Integrity or select the Check Integrity button from the toolbar. Designer presents you with the following dialog box:

ument the DVD Specification. While it is generally the same for HDMV, it is a little different for BD-J. The BD-J specification leverages a multitude of other specifications as depicted in Figure 6.15. Figure 6.15 BD-J Specification Structure

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