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The compiler started at the top of the input file, found the identifier int_list, and inferred its type from the literal that is bound to it Next, it found the function Listiter and knows that its type is ('a -> unit) -> 'a list -> unit Since it has a generic or undetermined type 'a within it, the compiler must first examine the anonymous function (fun i -> print_int i) Because the parameter i is passed to the function print_int, the compiler infers that the type of i is int Similarly, because the return type of print_int is unit, the return type of the anonymous function is unit.

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We ve already shown you how to implement the Auto Refresh pattern in 4; being able to refresh parts of the page automatically is useful. Take weather, news, or other information streams that change over time repainting just the parts that change makes a lot more sense than refreshing the entire page for a few minor changes. Of course, this might not be terribly obvious to users who are trained to hit the refresh button, which is why Auto Refresh pattern is so often paired with FAT. Auto Refresh offers a significant benefit beyond less work for your user: it also reduces the load on your server. Rather than having thousands of users constantly hitting the refresh button, you can set a specific polling period that should spread out the requests more evenly. (Figure 8-1 showed an example of the Auto Refresh pattern.)

Figure 14-8. DataFile opened with Notepad Open your spreadsheet program and select cell A1. Then in the Edit pull-down menu, choose Paste. All the data numbers should fill the A column, as shown in Figure 14-9.

Because the parameter of the anonymous function is an integer, the compiler now knows that the parameter of the type of the undetermined type 'a is int, and this means the list passed to the function must be of type int list To fully understand the implications of this, it is helpful to look at an example that does not compile Consider the next example, where you pass an identifier of type string list as the second argument to the library function Listiter whose first argument is a function of type int -> unit Then you rewrite the code using the forward operator #light let stringList = [ "1" ; "2" ; "3" ] Listiter (fun i -> print_int i) stringList stringList |> Listiter (fun i -> print_int i) When trying to compile this function, you ll get the following error: Progfs(3,36): error: FS0001: Type mismatch.

Expecting a int list but given a string list The type int does not match the type string.

Next, in the Tools pull-down menu, select Chart, or follow whatever procedure generates plots for your particular program. A wizard (see Figure 14-10) allows customization of the chart for your experimental data.

We ve talked about this point quite a bit, but one of the real strengths of Ajax is that you no longer need to repaint the entire page; instead, you can just modify what has changed. Clearly, you can use this in conjunction with the FAT and Auto Refresh patterns. In fact, this can be helpful for Web applications.

Progfs (4,48): error: FS0001: This expression has type string but is here used with type int The problem is that in the first case you re expecting an int list but are given a string list, and in the second case you re expecting an int but are given a string In the first case, the type of the list was inferred from the type of the function, but in the second case the type of the function was inferred from the type of the list That you can infer the type of a function that operates on a list from the type of the list it operates on is incredibly useful when working with NET libraries not written in F# Consider the following example, where you define a list of type SystemDateTime list and pass it to Listiter as the second argument.

Figure 14-10. Data plotted in the spreadsheet As you can see in the finished plot shown in Figure 14-11, the brightness of the light quickly drops and then stabilizes. You could make this into more of a scientific project by making multiple runs with sticks that are at different temperatures.

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