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The String class overloads two operators: = = and != To test two strings for equality, use the = = operator Normally, when the = = operator is applied to object references, it determines if both references refer to the same object This differs for objects of type String When the = = is applied to two String references, the contents of the strings, themselves, are compared for equality The same is true for the != operator: When comparing String objects, the contents of the strings are compared However, the other relational operators, such as < or >=, compare the references, just like they do for other types of objects To determine if one string is greater than or less than another, use the Compare( ) method defined by String

The String class defines a large number of methods, and many of the methods have two or more overloaded forms For this reason, it is neither practical nor useful to list them all Instead, several of the more commonly used methods will be presented, along with examples that illustrate them

(517)

and du dx = exp(u) + C dx We note for the record that the exponential function is the only function (up to constant multiples) that is its own derivative This fact will come up later in our applications of the exponential exp(u) EXAMPLE 69

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Perhaps the most frequently used string-handling operation is the comparison of one string to another Because of its importance, String provides a wide array of comparison methods These are shown in Table 22-1 Be aware that string comparisons are sensitive to cultural differences Comparison methods that do not pass cultural information use the currently selected cultural settings

Part II:

This equation affords a convenient accuracy check when constructing the derivatives of rational B-splines Implementation of the Procedure The systematic procedure for implementing the rational B-spline approach is very similar to the scheme for applying B-splines described earlier The process is as follows, assuming the motion constraints have already been established: 1 2 3 4 Select the appropriate order of the rational B-splines to be used Choose the weight sequence Establish a knot sequence Determine the values of each rational B-spline or rational B-spline derivative at all points where motion constraints are imposed 5 Collect the values of rational B-splines and/or rational B-spline derivatives and form a linear system of equations using the motion constraints in Eqs (511) and (512) 6 Solve the solution of the linear system equations formed in the step above for the coef cients Aj 7 Evaluate rational B-splines and/or their derivatives as needed to determine displacement and/or its derivatives between motion constraints using Eqs (511) and (512) Example Applications The examples that follow illustrate the application of rational Bsplines to the synthesis of the rise portion of a DRD motion program The cases presented illustrate the effects that adjustments to the rational B-spline parameters have on the synthesized motion programs Note that in the cases below, normalized values for both displacement and time are used to provide a convenient basis for comparison of results Accordingly in the examples Sc denotes a normalized value for cam displacement and S the follower output motion dis-

Method public static int Compare(string str1, string str2)

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Compute the derivatives: d dx exp(4x), d dx (exp(cos x)), d dx ([exp(x)] [cot x ])

placement This expedient has no effect on the computations or conceptual basis In practical applications, the actual displacement, Y, and its mth derivative, Y (m), of the follower can found from the normalized values as follows: Yc = Sc (t ) h, Yc(m ) ( x ) = Sc(m ) (t ) h (w b ) If time, t, starts at the beginning of the rise, then normalized time is t = t/Th, where Th is the total time for the rise of h

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