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You can change this, but for now, it places your eye squarely in front of the xy plane the traditional 2D stage looking into it Figure 15-3 shows the 2D and 3D coordinate systems of the display list You can think of the stage as existing at z=0 Because z increases into the screen, objects with positive z values appear smaller than their natural size as if they have been scaled down and objects with negative z values appear larger than their natural size as if they have been scaled up In actuality, there is only one stage, and display objects in 2D and 3D must coexist in peace on it So, those 2D display objects are essentially at z=0 Display objects can not only be positioned in 3D space, they can be rotated and scaled in three dimensions as well.

33. B. Karp and H. T. Kung. GPSR: Greedy perimeter stateless routing for wireless networks. In Proceedings of ACMdEEE MobiCom, August 2000.

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The text in Figure 15-2 is rotated around the x-axis Figure 15-4 shows rotations around each of the three axes You ll notice that because the z-axis points in and out of the screen, rotating around the z-axis is the same as traditional 2D rotation There are plenty of ways to represent a rotation in 3D space it s not nearly as simple as rotation in 2D but the display list represents any orientation as a combination of these three axis rotations (an Euler angle) Although the gure shows an object rotated around a single axis, combining three rotations, one around each axis, can produce any orientation imaginable..

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FIGURE 15-3

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This last expression may be converted into a con dence interval on the standard deviation by taking the square root of both sides, resulting in 0.17 Therefore, at the 95% level of con dence, the data indicate that the process standard deviation could be as large as 0.17 uid ounce. EXERCISES FOR SECTION 8-4

Determine the values of the following percentiles: 2 2 2 2 2 2 0.025,15, 0.01,12, 0.95,20, 0.99,18, 0.995,16, and 0.005,25. 8-34. Determine the 2 percentile that is required to construct each of the following CIs: (a) Confidence level 95%, degrees of freedom 24, one-sided (upper) (b) Con dence level 99%, degrees of freedom 9, onesided (lower) (c) Con dence level 90%, degrees of freedom 19, twosided. 8-35. A rivet is to be inserted into a hole. A random sample of n 15 parts is selected, and the hole diameter is measured.

FIGURE 15-4

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Display objects can be rotated in all three dimensions. Rotating around the z-axis is the same as 2D rotation.

8-33.

Setting up a scene in three dimensions may be much easier when you can see exactly what goes where. Flash Professional starting in CS4 contains tools to manipulate objects in three dimensions, which may be much easier than trying to guess at the orientation and positions of objects in 3D space. Alternatively, you can lay out a scene in a 3D package and copy down the positions from the tool into code. I won t show how to use those tools here, but know that it can help you visualize things that are dif cult to picture from numbers alone.

The sample standard deviation of the hole diameter measurements is s 0.008 millimeters. Construct a 99% lower con dence bound for 2. 8-36. The sugar content of the syrup in canned peaches is normally distributed. A random sample of n 10 cans yields a sample standard deviation of s 4.8 milligrams. Find a 95% two-sided con dence interval for . 8-37. Consider the tire life data in Exercise 8-22. Find a 95% lower con dence bound for 2. 8-38. Consider the Izod impact test data in Exercise 8-23. Find a 99% two-sided con dence interval for 2.

Although it s perfect for simple effects, the 3D capabilities of the display list in Flash Player 10 are far from what you d expect in a 3D game or modeling tool. Nor should they be comparable. You should know what the display list is capable of so that you know where and when to deploy it.

DeMorgan s laws imply that 1A B2 Also, remember that A B B A and A B B A A B and 1A B2 A B

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