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As you can see, Ajax creates a whole new set of opportunities for Web application development. No longer are you hindered by proprietary techniques and disappointing compromises. With Ajax, the line between thick and thin is blurred, and the real winners are your users!

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Recursion is most appropriate for calculating the Fibonacci sequence, because the definition of any number in the sequence, other than the first two, depends on being able to calculate the previous two numbers, so the Fibonacci sequence is defined in terms of itself Although recursion is a powerful tool, you should always be careful when using it It is easy to inadvertently write a recursive function that never terminates Although intentionally writing a program that does not terminate is sometimes useful, it is rarely the goal when trying to perform calculations To ensure that recursive functions terminate, it is often useful to think of recursion in terms of a base case and the recursive case The recursive case is the value for which the function is defined in terms of itself; for the function fib, this is any value other than 1 and 2.

The I2C bus is explained on the basis of an absolutely amazing Magic Wand project, a reincarnation of the Simon game, a second edition of Philo s Color Sensor that s incorporated into a colored-brick sorting robot, and an NXT version of the world s first video game, Pong The NXT datalogging features are explored through measuring a hand warmer s temperature; Bluetooth is used with a remotely guided robot photographer Extreme NXT is a goldmine! Reading this book and even more, working with it will certainly produce new MINDSTORMS masters By the way, the torch is passed to the NXT generation..

The base case is the nonrecursive case; that is, there must be some value where the function is not defined in terms of itself In the fib function, 1 and 2 are the base cases Having a base case is not enough in itself to ensure termination The recursive case must tend toward the base case In the fib example, if x is greater than or equal to 3, then the recursive case will tend toward the base case because x will always become smaller and at some point reach 2 However, if x is less than 1, then x will grow continually more negative, and the function will recurse until the limits of the machine are reached, resulting in a stack overflow error (SystemStackOverflowException)..

Now that you have some ideas on where to use Ajax, we ll take a minute to cover some design considerations for applying Ajax Many of these principles are no different from what you would normally do in a Web application, but they still bear mentioning Strive to minimize the traffic between the client and server Applied well, Ajax will make your application more responsive, but if you are trying to send an encyclopedia s worth of data back and forth every time your user navigates off a field, your users will not be amused When in doubt, follow standard conventions If most applications do XYZ, then you probably should too When in doubt, look at the standards for Web desktop applications Some patterns have been established, and more are sure to follow (wwwajaxpatternsorg).

Figure 2-13. Changing the input label to Row Now we will test the My Block by writing a little program. Start a new program and go to the Custom palette (See Figure 2-14) to get a copy of the Display Number My Block.

The previous code also uses F# pattern matching, which I discuss in the Pattern Matching section later in this chapter.

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