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helps select the format (eg, E-mail vs letter), the tone (eg, Dear Mr Jones vs Dear Richard), and the style (eg, chief executive of cer vs CEO) We re an informal society becoming less formal all the time The decision you make about what level of formality is best will help you create the mood you want The level of formality sets the tone, creates an image, and has the potential to enhance your relationship with your readers The Formality Index asks you to answer three questions on a scale of one to ten, one meaning absolutely not or never and ten meaning absolutely yes or always If you re uncertain, or if the answer is maybe, sort of, sometimes, or kind of, you would select a score of perhaps four, ve, six, or seven In other words, the higher your score, the closer you are to an absolute yes Here are the three questions: 1 Do you know your target reader(s) well and personally 2 Are they below you in rank 3 Is the subject of your communication good news Think about the rst question In business, you may never socialize with someone and yet feel as if you know them well and personally For example, the coworker in the next cubicle with whom you ve shared a cordial relationship for four years or the person you ve bought of ce supplies from for two years might be in this category The better you know someone, the higher your score The second question requires that you de ne what rank means to you It doesn t refer to a formal system (like in the military) Rather it asks that you evaluate what, in your world, is held in high esteem Some people value celebrity, age, education, status, accomplishment, job titles, and so on The more you perceive that you re above your readers (using whatever standards you select), the higher your score The third question asks you to consider how the people you re writing to are likely to perceive the content of your message As you evaluate whether you re delivering good news or not, remember that you can t fake it; just because you think your company s new product is terri c doesn t mean the people you re advertising it to will agree Are you announcing a raise That s a ten! Layoffs That s a one Notice that all three questions require that you make judgments There s no right or wrong, but there are real differences Consider this.

This program produces the following output:

It is common to write sin2 to mean (sin )2 and cos2 to mean (cos )2

Here is a: 1, 2, 3 Here is b: 10, 10, 10

Part I:

Result of a + b: 11, 12, 13 Result of a + b + c: 22, 24, 26 Result of c - a: 21, 22, 23 Result of c - b: 11, 12, 13

.

Compute the sine and cosine of /3

Let s examine the preceding program carefully, beginning with the overloaded operator + When two objects of type ThreeD are operated on by the + operator, the magnitudes of their respective coordinates are added together, as shown in operator+( ) Notice, however, that this method does not modify the value of either operand Instead, a new object of type ThreeD, which contains the result of the operation, is returned by the method To understand why the + operation does not change the contents of either object, think about the standard arithmetic + operation as applied like this: 10 + 12 The outcome of this operation is 22, but neither 10 nor 12 is changed by it Although no rule prevents an overloaded operator from altering the value of one of its operands, it is best for the actions of an overloaded operator to be consistent with its usual meaning Notice that operator+( ) returns an object of type ThreeD Although the method could have returned any valid C# type, the fact that it returns a ThreeD object allows the + operator to be used in compound expressions, such as a+b+c Here, a+b generates a result that is of type ThreeD This value can then be added to c Had any other type of value been generated by a+b, such an expression would not work Here is another important point: When the coordinates are added together inside operator+( ), the addition of the individual coordinates results in an integer addition This is because the individual coordinates, x, y, and z, are integer quantities The fact that the + operator is overloaded for objects of type ThreeD has no effect on the + as it is applied to integer values Now, look at operator ( ) The operator works just like the + operator except that the order of the parameters is important Recall that addition is commutative, but subtraction is not (That is, A B is not the same as B A!) For all binary operators, the first parameter to an operator method will contain the left operand The second parameter will contain the one on the right When implementing overloaded versions of the noncommutative operators, you must remember which operand is on the left and which is on the right.

The unary operators are overloaded just like the binary operators The main difference, of course, is that there is only one operand For example, here is a method that overloads the unary minus for the ThreeD class:

// Overload unary - public static ThreeD operator -(ThreeD op) { ThreeD result = new ThreeD(); resultx = -opx; resulty = -opy; resultz = -opz; return result; }

p/3 1 2

STEP TWO: CREATE A DRAFT ON PAPER (OR ON YOUR COMPUTER)

9:

Here, a new object is created that contains the negated fields of the operand This object is then returned Notice that the operand is unchanged Again, this is in keeping with the usual meaning of the unary minus For example, in an expression such as this,

a receives the negation of b, but b is not changed In C#, overloading ++ and is quite easy; simply return the incremented or decremented value, but don t change the invoking object C# will automatically handle that for you, taking into account the difference between the prefix and postfix forms For example, here is an operator++( ) method for the ThreeD class: