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Reuse is one of the promises of object-oriented software. However, reuse rarely happens by itself. The rst step in identifying reuse is a task called domain analysis. Domain analysis is the process of reviewing the problem domain to determining what objects and functions are common to all activities. Without good domain knowledge, it will be hard to identify what commonalities exist between all similar systems in that domain. For reuse to be e ective, the parts that will be useful in multiple solutions in that domain must be identi ed. This means understanding the potential commonalities. Approaches to reuse can be top-down or bottom-up. Bottom-up approaches look for low- or middle-level classes that will be common in most solutions in that

Solve[a x2 + b x + c 0, x] b b2 4ac b + b2 4ac x , x 2a 2a

Observe that Mathematica gives the general solution in terms of arbitrary a, b, and c unless values are assigned to these variables.

On this next screen, you will need to swipe to the bottom of the agreement and tap Agree to continue. (Assuming you agree.)

Solve[x3 + y2 5 && x + y 3]

domain. Top-down approaches see the commonality in the framework of the solution and the di erences in the low-level objects. Unless reuse is a goal and identifying potential reuse and designing classes to be reusable is a top priority, reuse will be elusive.

Because Mathematica returns the solutions of equations as a nested list, they cannot be used directly as input to other mathematical structures. However, we can access their values without unnecessary typing or pasting by using /. If we wish to compute the value of an expression using the solutions obtained from Solve, we can use the /. replacement operator and Mathematica will substitute the appropriate values.

If you are traveling with your iPad, then tap Add International Data and follow the steps in the next section. If you do not want to add the international plan at this time (you can always add it later), then tap Submit to finish.

x2 + y = 5 EXAMPLE 8 Suppose we wish to solve the equations and compute the values of the expression x 2 + y 2 . x+y =3 We use the Solve command and the object solutions for convenience. solutions = Solve[{x2 + y 5, x + y 3},{x, y}]

1, x 2}, {y 4, x 1}}

10. Finally, when your new cellular data plan is setup, you will see a pop-up message similar to this one.

5 , 17

Identify reuse in the grocery store domain (Examples 11.4 and 11.6). In the domain of grocery stores, it would seem that the commonality was in the low-level objects. Most grocery stores handle the same sort of items. Some middle-level activities would have a lot of commonality, for example, inventory systems, stocking, and tracking sales.

x 6 21x 5 + 175x 4 735x 3 + 1, 624 x 2 1, 764 x + 720 = 0 We use the Solve command:

If you plan on taking a trip, you may want to add an International Data plan to your iPad. It is easy to do by following these steps: 1. 2. 3. 4. 5. 6. Tap the Settings icon. Tap Cellular Data in the left column. Tap View Account in the right column. Login to the account by entering your Cellular Data username and password you used when you created this account. Tap Add International Plan (see Figure 4 4). On the International Data Plan window a. b. Select your One-Time International Plan. Adjust your plan Start Date to match your travel needs.

solutions = Solve[{x6 21 x5 + 175 x4 735 x3 + 1624 x2 1764 x + 720 0] 1}, {x 2}, {x 3}, {x 4}, {x 5}, {x 6}}

Now we can define a list containing the solutions listed above. list = x /. solutions {1, 2, 3, 4, 5, 6} Now we can easily compute the sum of the squares of the elements of the list. Total[list2] 91

Another approach to identifying the requirements of a proposed system is to start with identifying the scenarios. This approach views the activities as the best way to determine the necessary functionality and the objects needed to support that functionality.