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One of the primary goals of object-oriented programming is to encapsulate all the functionality (data and implementation) for a domain entity into a single class This means, for instance, that all the data and implementation logic for the concept of a customer should be in a Customer class In many cases, the business logic in an object directly supports a rich, interactive user experience This is especially true for Windows Forms applications, in which the business object implements validation and calculation logic that should be run as the user enters values into each field on a form To achieve this, the objects should be running on the client workstation or web server to be as close to the user as possible At the same time, most applications have back-end processing that is not interactive In an n-tier deployment, this noninteractive business logic should run on an application server.

One technique that is particularly important in this chapter is the use of discriminated unions to capture the shape of the abstract syntax trees for symbolic languages Using functions as first-class values and applying recursive problem decomposition also leads to a natural and clean approach to computations on symbolic entities These and other features of F# combine to make symbolic programming concise and painless, allowing you to focus on the really interesting parts of your application domain..

Otherwise, the new element needs to be inserted between the target element and the next child of parent. The next node after the target element is the nextSibling property of the target element. Use the insertBefore method to place the new element before the target element s next sibling:

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Yet good object-oriented design dictates that all business logic should be encapsulated within objects rather than spread across the application This can be challenging when an object needs to both interact with the user and perform back-end processing Effectively, the object needs to be on the client sometimes and on the application server other times The idea of mobile objects solves this problem by allowing an object to physically move from one machine to another This means it really is possible to have an object run on the client to interact with the user, then move to the application server to do back-end work like interacting with the database A key goal of the data portal is to enable the concept of mobile objects.

In the end, not only will objects be able to go to the application server to persist their data to a database, but they will also be able to handle any other noninteractive back-end business behaviors that should run on the application server..

You have probably come across the need to perform symbolic differentiation one way or another, and unless you had access to a full-fledged mathematics application such as Matlab or Mathematica, you had to resort to working out the math yourself on paper. Well, this no longer has to be the case, because we will show you how you can develop your own symbolic differentiation tool in almost no time and with surprising brevity and clarity. Figure 12-1 shows the symbolic differentiation application that we implement in this chapter.

The data portal combines two common design patterns: channel adapter and message router. The channel adapter pattern provides a great deal of flexibility for n-tier applications by allowing the application to switch between 2-tier and 3-tier models, as well as switching between various network protocols. The message router pattern helps to decouple the client and server by providing a clearly defined, single point of entry for all server interaction. Each call to the server is routed to an appropriate serverside object.

We will take it easy at first and assume you are dealing with simple algebraic expressions that can consist only of numbers, a single variable (it doesn t matter what it is, but let s assume it s x), sums, and products. Listing 12-1 shows the implementation of symbolic differentiation over this simple expression type.

parent.insertBefore(newElement.targetElement.nextSibling) On the face of it, insertBefore is quite a complex function. But if you break it down into its individual components, it s relatively straightforward. Don t worry if isn t completely clear to you right now. As you become more familiar with the DOM methods and properties that insertAfter uses, it will make more sense. Like addLoadEvent from 6, insertAfter is a handy function to include in your scripts.

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