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It is similar to the one used by FailSoftArray except that the range is checked by testing it against the values in lowerBound and upperBound RangeArray illustrates just one kind of custom array that you can create through the use of indexers and properties There are, of course, several others For example, you can create dynamic arrays, which expand and contract as needed, associative arrays, and sparse arrays You might want to try creating one of these types of arrays as an exercise

Note how the revised version lists the four measures and describes how the total grade will be calculated Shelley s former draft was nonspeci c and vague How did your revision compare EXERCISE 13: Add Speci city to Increase Reader Understanding Van, vice president of a nance company, needed to send an E-mail to alert managers that budget cuts were going to be instituted Read Van s opening sentence below and revise it by adding speci c facts, numbers, or examples to improve clarity and increase credibility Use your imagination to make up relevant speci cs, then compare your revision to the three alternatives that Van came up with Van s E-mail began, In anticipation of a nancial slowdown, every manager is expected to develop contingency plans How did you revise the sentence Here are Van s alternatives:

nheritance is one of the three foundational principles of object-oriented programming because it allows the creation of hierarchical classifications Using inheritance, you can create a general class that defines traits common to a set of related items This class can then be inherited by other, more specific classes, each adding those things that are unique to it In the language of C#, a class that is inherited is called a base class The class that does the inheriting is called a derived class Therefore, a derived class is a specialized version of a base class It inherits all of the variables, methods, properties, and indexers defined by the base class and adds its own unique elements

C# supports inheritance by allowing one class to incorporate another class into its declaration This is done by specifying a base class when a derived class is declared Let s begin with an example The following class called TwoDShape stores the width and height of a twodimensional object, such as a square, rectangle, triangle, and so on

Notice that x 2 + while e3x 0 So the limit is indeterminate of the form 0 We rewrite the limit as x2 3x x e lim Now both numerator and denominator tend to infinity and we may apply l'H pital's Rule The result is that the limit equals 2x 3e 3x x lim Again the numerator and denominator both tend to infinity so we apply l'H pital's Rule to obtain: 2 3x x 9e lim It is clear that the limit of this last expression is zero We conclude that lim x e3x = 0

// A class for two-dimensional objects class TwoDShape { public double Width; public double Height; public void ShowDim() { ConsoleWriteLine("Width and height are " + Width + " and " + Height); } }

TwoDShape can be used as a base class (that is, as a starting point) for classes that describe specific types of two-dimensional objects For example, the following program uses TwoDShape to derive a class called Triangle Pay close attention to the way that Triangle is declared

Part I:

// A simple class hierarchy using System; // A class for two-dimensional objects class TwoDShape { public double Width; public double Height; public void ShowDim() { ConsoleWriteLine("Width and height are " + Width + " and " + Height); } } // Triangle is derived from TwoDShape class Triangle : TwoDShape { public string Style; // style of triangle // Return area of triangle public double Area() { return Width * Height / 2; } // Display a triangle's style public void ShowStyle() { ConsoleWriteLine("Triangle is " + Style); } } class Shapes { static void Main() { Triangle t1 = new Triangle(); Triangle t2 = new Triangle(); t1Width = 40; t1Height = 40; t1Style = "isosceles"; t2Width = 80; t2Height = 120; t2Style = "right"; ConsoleWriteLine("Info for t1: "); t1ShowStyle(); t1ShowDim(); ConsoleWriteLine("Area is " + t1Area()); ConsoleWriteLine(); ConsoleWriteLine("Info for t2: "); t2ShowStyle(); t2ShowDim();

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ConsoleWriteLine("Area is " + t2Area()); } }