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Info for t1: Triangle is right Width and height are 8 and 12 Area is 48 Info for t2: Triangle is right Width and height are 8 and 12 Area is 48 Info for t3: Triangle is isosceles Width and height are 4 and 4 Area is 8

When revising a complicated sentence, it s often a good approach to list all of the thoughts being expressed and aim to create separate sentences How many thoughts are expressed in this example Four: the look of the owers, the custom preparation, the contents of the arrangements, and the occasions the company serves Most people, in revising this sentence, combine the rst two thoughts and write a twenty-word sentence, as follows:

But we learned in the last section that ln( e) = 1 As a result, ex = exp( x)

Let s review the key concepts behind base When a derived class specifies a base clause, it is calling the constructor of its immediate base class Thus, base always refers to the base class immediately above the calling class This is true even in a multileveled hierarchy You pass arguments to the base constructor by specifying them as arguments to base If no base clause is present, then the base class default constructor is called automatically

It is possible for a derived class to define a member that has the same name as a member in its base class When this happens, the member in the base class is hidden within the derived class While this is not technically an error in C#, the compiler will issue a warning message This warning alerts you to the fact that a name is being hidden If your intent is to hide a base class member, then to prevent this warning, the derived class member must be preceded by the new keyword Understand that this use of new is separate and distinct from its use when creating an object instance

11:

Here is an example of name hiding:

YOU TRY IT Simplify the expression ln[ex xe]

using System; class A { public int i = 0; } // Create a derived class class B : A { new int i; // this i hides the i in A public B(int b) { i = b; // i in B } public void Show() { ConsoleWriteLine("i in derived class: " + i); } } class NameHiding { static void Main() { B ob = new B(2); obShow(); } }

In essence, it tells the compiler that you know a new variable called i is being created that hides the i in the base class A If you leave new out, a warning is generated The output produced by this program is shown here:

i in derived class: 2

Because of this last example we will not in the future write the exponential function as exp(x) but will use the more common notation e x Thus exp(ln x) = x becomes e ln x = x ln(exp(x)) = x becomes ln(e x ) = x exp(a + b) = [exp(a)] [exp(b)] becomes e a+b = e a e b exp(a b) = exp(a) ea becomes e a b = b exp(b) e

Since B defines its own instance variable called i, it hides the i in A Therefore, when Show( ) is invoked on an object of type B, the value of i as defined by B is displayed not the one defined in A

As the leader in the silk ower industry, we create arrangements that are lush and full and always custom designed

There is a second form of base that acts somewhat like this, except that it always refers to the base class of the derived class in which it is used This usage has the following general form: basemember Here, member can be either a method or an instance variable This form of base is most applicable to situations in which member names of a derived class hide members by the

Part I:

same name in the base class Consider this version of the class hierarchy from the preceding example:

A = e[5 ln 2 3 ln 4]