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Try changing the values of testInvoice to make sure all the cases work. Solution to Exercise 12-3. Modify the Invoice class once more so that you can determine whether one invoice is greater than or less than another. Test your methods. In this exercise, you ll need to overload a couple of methods that you haven t seen in the chapter: the greater-than and less-than operators. Fortunately, overloading those methods isn t much more difficult than overloading the equality operator. However, you need to be sure you override both operators. Remember that you can t simply define the less-than operator as the opposite of the greater-than operator, the way you can with == and !=, because if the operands are equal, both less-than and greaterthan should return false. Example A-32 shows a possible solution.

(page 405)

Example A-32. One solution to Exercise 12-3

8

using using using using System; System.Collections.Generic; System.Linq; System.Text;

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The motivation for RAID Level 6 is the observation that recovery from failure of a single disk is not su cient in very large disk arrays First, in large disk arrays, a second disk might fail before replacement of an already failed disk could take place In addition, the probability of a disk failure during recovery of a failed disk is not negligible A RAID Level 6 system uses Reed-Solomon codes to be able to recover from up to two simultaneous disk failures RAID Level 6 requires (conceptually) two check disks, but it also uniformly distributes redundant information at the block level as in RAID Level 5 Thus, the performance characteristics for small and large read requests and for large write requests are analogous to RAID Level 5 For small writes, the read-modify-write procedure involves six instead of four disks as compared to RAID Level 5, since two blocks with redundant information need to be updated For a RAID Level 6 system with storage capacity equal to four data disks, six disks are required Thus, in our example, the e ective space utilization is 66 percent

namespace Exercise_12_3 { public class Invoice { private string vendor; private double amount; // constructor public Invoice(string vendor, double amount) { this.vendor = vendor; this.amount = amount; } // Overloaded operator + takes two invoices. // If the vendors are the same, the two amounts are added.

The previous chapter described models of databases The structure of the database was modeled by relations and connections The relations were de ned by their relation-schemas In order to translate a model into an operational system, the model has to be described in a form which lends itself to implementation Such a description is called a schema, and the language used to describe it will be called the schema language The schemas will have to include some practical detail which could be ignored in the models Using the model concepts of domains, relations, and connections, the schema language has to be able to specify the types of the data elements, their organization into les, and the manner in which les are related A schema de nes initially the structure of the database and makes the description available to the users of the database If a database management system is used to manage the database, the schema will be used to automatically control the execution of the transaction programs which operate on the database 405

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