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There are also versions of the Concat( ) method that take object references, rather than string references These obtain the string representation of the objects with which they are called and return a string containing the concatenation of those strings (The string representations are obtained by calling ToString( ) on the objects) These versions of Concat( ) are shown here: public static string Concat(object arg0) public static string Concat(object arg0, object arg1) public static string Concat(object agr0, object arg1, object arg2) public static string Concat(object arg0, object arg1, object arg2, object arg3) public static string Concat(params object[ ] args) The first method simply returns the string equivalent of arg0 The other methods return a string that contains the concatenation of their arguments The object forms of Concat( ) are very convenient because they let you avoid having to manually obtain string representations prior to concatenation To see how useful these methods can be, consider the following program:

Most of us would agree that this sentence is poorly written; the writer never apologizes to the customer, for example Also, it s too long, too

// Demonstrate the object form of Concat() using System;

22:

Notice the following simple properties of ln x which can be determined from looking at Figure 61: (i) When x > 1, ln x > 0 (after all, ln x is an area) (ii) When x = 1, ln x = 0 (iii) When 0 < x < 1, ln x < 0

class MyClass { public static int Count = 0; public MyClass() { Count++; } } class ConcatDemo { static void Main() { string result = StringConcat("The value is " + 19); ConsoleWriteLine("result: " + result);

result = StringConcat("hello ", 88, " ", 200, " ", false, " ", 2345M); ConsoleWriteLine("result: " + result); MyClass mc = new MyClass(); result = StringConcat(mc, " current count is ", MyClassCount); ConsoleWriteLine("result: " + result); } }

The output is shown here:

(iv) If 0 < x1 < x2 then ln x1 < ln x2 We already know that the logarithm satisfies the multiplicative property By applying this property repeatedly, we obtain that: If x > 0 and n is any integer then ln(x n ) = n ln x A companion result is the division rule: If a and b are positive numbers then ln

In this example, Concat( ) concatenates the string representations of various types of data For each argument, the ToString( ) method associated with that argument is called to obtain a string representation Thus, in this call to concat( ):

string result = StringConcat("The value is " + 19);

Int32ToString( ) is invoked to obtain the string representation of the integer value 19 Concat( ) then concatenates the strings and returns the result Also notice how an object of the user-defined class MyClass can be used in this call to Concat( ):

We can write A in simpler terms by using the multiplicative and quotient properties: A = ln( a3 b2 ) ln( c 4 d) = ln a3 + ln( b2 ) ln( c 4 ) + ln d = 3 ln a + 2 ln b ( 4) ln c + ln d = 3 ln a + 2 ln b + 4 ln c ln d

result = StringConcat(mc, " current count is ", MyClassCount);

Before: By hiring an on-site nurse, we expect to reduce some employee absences, so after reviewing the attached draft of the job description, let s schedule a time to discuss how best to implement this plan (thirty-four words) After: By hiring an on-site nurse, we expect to reduce some employee absences After reviewing the attached draft of the job description, let s schedule a time to discuss how best to implement this plan (Two sentences of twelve and twenty-one words averages sixteen-and-a-half words per sentence)

In this case, the string representation of mc, which is of type MyClass, is returned By default, this is simply its class name However, if you override the ToString( ) method, then MyClass can return a different string For example, try adding this version of ToString( ) to Myclass in the preceding program:

public override string ToString() { return "An object of type MyClass"; }

Part II:

The last basic property of the logarithm is the reciprocal law: For any x > 0 we have ln(1/x) = ln x