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From this signature, you can see that your override of this method will take an object as a parameter, and return a bool (true if the two objects are equal, where equality is however you define it). By overriding this method, you allow your Fraction class to act polymorphically with all other objects. For example, anywhere you can call Equals( ) on two Objects, you can call Equals( ) on two Fractions. Inside the body of Equals( ), you need to ensure that you are comparing one Fraction object with another Fraction object. If the other object is not a fraction, they cannot be equal, and you ll return false:

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public override bool Equals(object o) { if ( ! (o is Fraction) )

1

{ return false; } return this == (Fraction) o; }

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When we talk informally about a database, we refer to a collection of mutually related data, to the computer hardware that is used to store it, and to the programs used to manipulate it

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The is operator is used to check the runtime type of an object (in this case, Fraction). Therefore, o is Fraction evaluates true if o is, in fact, a Fraction or a type derived from Fraction. Once you know that you are comparing two Fractions, you can delegate the decision as to their equality to the overloaded operator (operator==) that you ve already written, just as you did with the != operator. This allows you to avoid duplicate code. Notice, though, that before you can compare this to o, you need to cast o to a Fraction. We discussed casting with intrinsic types back in 3. In this way, the Equals( ) method determines only that you do in fact have two fractions. If so, it delegates deciding whether the two fractions are truly equal to the already implemented operator ==. The complete modification of the Fraction class is shown in Example 12-2, followed by the analysis.

By mutually related we mean that the data represents knowledge about a speci c enterprise, say a company, a university, or a governmental institution The data may also be related because it deals with a certain problem area, perhaps about a disease which is of concern to the sta of a number of hospitals The data should be organized so that it can be processed to yield information

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

The organization of the data in a database has to represent the underlying meaning or semantics of the data correctly and e ciently In conventional programs the structure of data is arranged for the convenience of the program A database contains data to be used by many and diverse programs The organization of a database can hence not be solely determined by decisions made while programming speci c functions This chapter begins by de ning the concept of a le, since les are the major physical units into which a database is organized The second section discusses operations or tasks performed when using a database In Sec 1-3 we develop a

namespace Example_12_2_ _ _ _Overloading_Equality { public class Fraction { private int numerator; private int denominator; // create a fraction by passing in the numerator // and denominator public Fraction(int numerator, int denominator) { this.numerator = numerator; this.denominator = denominator; } // overloaded operator+ takes two fractions // and returns their sum public static Fraction operator+ (Fraction lhs, Fraction rhs) { // like fractions (shared denominator) can be added // by adding their numerators if (lhs.denominator == rhs.denominator)

classi cation of data management which will provide the structure for all subsequent material We then take familiar concepts from programming and relate them to the presented classi cation This sequence is intended to provide a link between our existing programming experience and the approach taken in this presentation of database-management methodology In Sec 1-8 a list of application areas is given as an aid for the selection of a topic for analysis to be followed throughout the text You may have learned nothing new after you have read this chapter, but the framework established will allow us to proceed through the book in an orderly fashion

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