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The elds b and c are chosen such that they have conformal dimension 2 and 1, as we will see later. There are two operators that are constructed out of the ghost elds and the K i . The rst of these is the BRST operator which is given by Q = ci K i 1 k i j fij c c bk 2 (6.5)

BuilderIF builder; public Director(BuilderIF parm) { this.builder = parm; } public void construct() { builder.buildCustomer(); } }

It is assumed that Q = Q . We say that the BRST operator is nilpotent of degree two. This means that if we square the operator we get zero: Q2 = 0 (6.6)

The Factory Method pattern s intent is to define an interface for creating an object but letting the subclass decide which class to instantiate. In other words, the class defers instantiation to subclasses. The client of the Factory Method never needs to know the concrete class that has been instantiated and returned. Its client needs to know only about the published abstract interface. The Factory Method pattern is also known as Virtual Constructor. Figure 5-3 shows the UML.

static NSString *CellIdentifier = @"Cell"; UITableViewCell *cell = [tableView dequeueReusableCellWithIdentifier:CellIdentifier]; if (cell == nil) { cell = [[[UITableViewCell alloc] initWithStyle:UITableViewCellStyleDefault reuseIdentifier:CellIdentifier] autorelease]; } [cell.textLabel setText:@"Hello World!"]; return cell; }

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Benefits Following is a list of benefits of using the Factory Method pattern:

Notice that Eq. (6.6) can also be expressed as {Q, Q} = 0. We label the BRST operator with a Q to imply that this is a conserved charge of the system, we often call this the BRST charge. A second operator that is composed solely of ghost elds is called the ghost number operator U. This is given by U = ci bi (6.7)

code interacts solely with the resultant interface, so it will work with any classes that implement that interface.

(Again note the Einstein summation convention is being used.) This operator has integer eigenvalues. If the dimension of the Lie algebra is n, then the eigenvalues of U are the integers 0,...,n. A state has ghost number m if U = m . EXAMPLE 6.1 Show that Q raises the ghost number by 1. SOLUTION Using the anticommutation relations for the ghost elds [Eq. (6.3)], notice that Uci K i = cr br ci K i = cr ( ri ci br )K i

FIGURE 5-3

Now, I want you to center the text. To accomplish this, you can either type the following code directly, or you can copy and paste the line you just inserted above itself and then edit it to appear as follows: The file should now appear as:

= ci K i + ci K i cr br = ci K i + ci K iU Now consider some state with ghost number m, that is U = m . Then U (Q

Applicable Scenarios The following scenarios are most appropriate for the Factory Method pattern:

1 = Uci K i cr br fij k ci c j bk 2 r 1 = ci K i + ci K iU fij k cr br ci c j bk 2 r

n A class is not able to anticipate the class of objects it needs to create. n A class wants its subclasses to specify the objects it instantiates. n Classes assign responsibility to one of several helper subclasses, and you want

[[cell textLabel] setTextAlignment:UITextAlignmentCenter];

Java EE Technology Features and Java SE API Associations The Java EE technology features associated with the Factory Method pattern are listed here:

= ci K i + ci K iU )

n javax.ejb.EJBHome n javax.ejb.EJBLocalHome n javax.jms.QueueConnectionFactory n javax.jms.TopicConnectionFactory

[Apply Eq. (6.3)]

// Customize the appearance of table view cells. - (UITableViewCell *)tableView:(UITableView *)tableView cellForRowAtIndexPath:(NSIndexPath *)indexPath { static NSString *CellIdentifier = @"Cell"; UITableViewCell *cell = [tableView dequeueReusableCellWithIdentifier:CellIdentifier]; if (cell == nil) { cell = [[[UITableViewCell alloc] initWithStyle:UITableViewCellStyleDefault reuseIdentifier:CellIdentifier] autorelease]; } [[cell textLabel] setTextAlignment:UITextAlignmentCenter]; [cell.textLabel setText:@"Hello World!"]; return cell; }

The Java SE APIs have many classes and interfaces that are associated with the Factory Method pattern. Here are some examples:

1 = ci K i + ci K iU fij k cr ( ri ci br ) c j bk 2 r 1 1 = ci K i + ci K iU fij k ci c j bk + fij k ci cr br c j bk 2 2 r

n java.text.Collator n java.net.ContentHandlerFactory n javax.naming.spi.InitialContextFactory n javax.net.SocketFactory

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