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Again using formula II, we nd that our integral becomes 1 16 1 + cos 4x 2 dx 2 0 /2 1 1 1 [1 + cos 4x] + 1 + 2 cos 4x + cos2 4x dx = 4 16 0

Inventory list: Pliers Cost: $595 Wrenches Cost: $829 Hammers Cost: $350 Drills Cost: $1988 On On On On hand: hand: hand: hand: 3 2 4 8

1 1 ( m i ,k h iT,k + h i ,k m iT,k ) + ( h i ,k h iT,k ) 2 3

In the program, notice that no special actions were required to store objects of type Inventory in a collection Because all types inherit object, any type of object can be stored in any non-generic collection Thus, using a non-generic collection, it is trivially easy to store objects of classes that you create Of course, it also means the collection is not type-safe To store objects of classes that you create in a type-safe collection, you must use one of the generic collection classes For example, here is a version of the preceding program rewritten to use List<T> The output is the same as before

// Store Inventory Objects in a List<T> collection using System; using SystemCollectionsGeneric; class Inventory { string name; double cost; int onhand; public Inventory(string n, double c, int h) { name = n;

(775c)

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cost = c; onhand = h; } public override string ToString() { return StringFormat("{0,-10}Cost: {1,6:C} name, cost, onhand); } } class TypeSafeInventoryList { static void Main() { List<Inventory> inv = new List<Inventory>(); // Add elements to the list invAdd(new Inventory("Pliers", 595, 3)); invAdd(new Inventory("Wrenches", 829, 2)); invAdd(new Inventory("Hammers", 350, 4)); invAdd(new Inventory("Drills", 1988, 8)); ConsoleWriteLine("Inventory list:"); foreach(Inventory i in inv) { ConsoleWriteLine(" " + i); } } }

Also ai = where p 2 = m i2,k + 2 m i ,k h i ,k s + h i2,k s 2 and hence,

On hand: {2}",

In this version, notice the only real difference is the passing of the type Inventory as a type argument to List<T> Other than that, the two programs are nearly identical The fact that the use of a generic collection requires virtually no additional effort and adds type safety argues strongly for its use when storing a specific type of object within a collection In general, there is one other thing to notice about the preceding programs: Both are quite short When you consider that each sets up a dynamic array that can store, retrieve, and process inventory information in less than 40 lines of code, the power of collections begins to become apparent As most readers will know, if all of this functionality had to be coded by hand, the program would have been several times longer Collections offer readyto-use solutions to a wide variety of programming problems You should use them whenever the situation warrants There is one limitation to the preceding programs that may not be immediately apparent: The collection can t be sorted The reason for this is that neither ArrayList nor List<T> has a way to compare two Inventory objects There are two ways to remedy this situation First, Inventory can implement the IComparable interface This interface defines how two objects of a class are compared Second, an IComparer object can be specified when comparisons are required The following sections illustrate both approaches

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Furthermore, bi = where p 2 p = p 2 m i ,k + p 2 h i ,k s Therefore,

If you want to sort a collection that contains user-defined objects (or if you want to store those objects in a collection such as SortedList, which maintains its elements in sorted order), then the collection must know how to compare those objects One way to do this is

Part II:

m2 + m h + 1 h2 i ,k i ,k i ,k i ,k 3 (776)

for the object being stored to implement the IComparable interface The IComparable interface comes in two forms: generic and non-generic Although the way each is used is similar, there are some small differences Each is examined here

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