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Another simple rule of thumb is that the more display objects you have on stage, the longer a frame takes to render. In reality, the complexity of these display objects determines performance more than their numbers. In particle systems and other applications with high DisplayObject counts, culling particles as soon as they become invisible or leave the screen can keep the effects in check. First and foremost, though, make sure the display objects are as simple as possible.

De nition Let X1, X2, p , Xn be a random sample from a normal distribution with mean variance 2, and let S 2 be the sample variance. Then the random variable X2 has a chi-square ( 2) distribution with n 1n 12 S 2

Leaving large areas of a display object lled but transparent forces Flash Player to composite pixels that don t actually appear. Sometimes it can t be avoided, but where it can, you should minimize transparent areas. Also, fully opaque display objects render faster than those with partial transparency using the alpha property. Blend modes should perform comparably overall, except for Pixel Bender blend modes, and the

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ATaG is a macroprogramming model that builds upon the core concepts of data-driven computing and incorporates novel extensions for distributed senseand-respond applications. In ATaG, the types of information processing functionalities in the system are modeled as a set of abstract tasks with well-defined inputloutput interfaces. User-provided code associated with each abstract task implements the actual processing in the system. An ATaG program is abstract because the exact number and placement of tasks and the control and coordination mechanisms are not defined in the program but are determined at compile-time andor runtime, depending on the characteristics of the target deployment. Although ATaG is superficially based on the task graph representation, there are significant differences in the syntax and semantics, which

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Vector masks must be rasterized, so keep them simple. If a mask must be made large to achieve an effect, consider the BlendMode.REVEAL blend mode instead. Filters are computationally expensive and sensitive to the size of the display object being ltered. Thankfully, you can control the quality of most BitmapFilters. Make sure you strike a balance between the desired quality and the rendering speed, and when possible, avoid applying lters to large objects. See 36 for more about lters.

where k is the number of degrees of freedom. The mean and variance of the 2 distribution are k and 2k, respectively. Several chi-square distributions are shown in Fig. 8-8. Note that the chi-square random variable is nonnegative and that the probability distribution is skewed to the right. However, as k increases, the distribution becomes more symmetric. As k S , the limiting form of the chi-square distribution is the normal distribution. The percentage points of the 2 distribution are given in Table III of the Appendix. De ne 2 ,k as the percentage point or value of the chi-square random variable with k degrees of freedom such that the probability that X 2 exceeds this value is . That is, P1X 2

The anti-aliasing type used on dynamic text elds, covered in 17, has a huge impact on how fast they render. In Flash Player 10 and later, bitmap text is rendered by the host OS and might alleviate some of the load on Flash Player s rendering pipeline, but using bitmap text is not always an option. Be aware that a display object might be costly to render not just if it is text, but if it contains text nested inside it.

This probability is shown as the shaded area in Fig. 8-9(a). To illustrate the use of Table III, note that the areas are the column headings and the degrees of freedom k are given in the left column. Therefore, the value with 10 degrees of freedom having an area (probability) of 0.05 18.31.This value is often called an upper 5% point of chi-square with to the right is 2 0.05,10

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