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public bool StartsWith(string str) public bool StartsWith(string str, StringComparison how) public bool StartsWith(string str, bool ignoreCase, CultureInfo ci)

Let a > 0 Compare the new de nition of a 4 with the more elementary de nition of a 4 in terms of multiplying a by itself four times

128 2

TABLE 22-3 The Search Methods Offered by String (continued)

Two fundamental string-handling operations are split and join A split decomposes a string into its constituent parts A join constructs a string from a set of parts To split a string, String defines Split( ) To join a set of strings, String provides Join( ) There are several versions of Split( ) Two commonly used forms, which have been available since C# 10, are shown here: public string[ ] Split(params char[ ] seps) public string[ ] Split(params char[ ] seps, int count)

Part II:

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1 Synthesize an output motion to satisfy the kinematic constraints of the application and achieve desirable characteristics such as continuous accelerations, acceptable pressure angles, and so on 2 Determine a cam pro le that will best produce the desired output motion, considering the nonrigid nature of the follower system and the operating speed 3 Evaluate the dynamic response of the system to assess vibration, contact force, and so forth, at the design operating speed or over a range of operating speeds These tasks do not constitute a sequence of steps but are functions that may have to be performed iteratively as part of the design process Here, all three tasks are addressed by methods that can be readily integrated into a cam design procedure To make this integrated procedure into a useful, reliable tool, it is necessary to use robust, general numerical procedures to accomplish each of these tasks Task 1 is accomplished conveniently by using the methods described earlier to synthesize output motions Tasks 2 and 3 require the solution of ordinary differential equations, often a large number of times These equations are usually stiff, making the solutions dif cult and time-consuming by most methods The approach described here uses the spline collocation method for this task This method has proved to be ef cient, effective, and nicely suited to the particular problems that occur in cam synthesis and allows the synthesis/analysis to be reduced to a systematic, general, and reliable procedure

According to our new de nition of a b we have a 4 = exp(4 ln a) = exp(ln a + ln a + ln a + ln a) = exp(ln[a a a a]) = a a a a It is reassuring to see that our new de nition of exponentiation is consistent with the familiar notion for integer exponents EXAMPLE 615

The first form splits the invoking string into pieces and returns an array containing the substrings The characters that delimit each substring are passed in seps If seps is null or refers to an empty string, then whitespace is used as the separator In the second form, no more than count substrings will be returned The two forms of the Join( ) method are shown here: public static string Join(string sep, string[ ] strs) public static string Join(string sep, string[ ] strs, int start, int count) The first form returns a string that contains the concatenation of the strings in strs The second form returns a string that contains the concatenation of count strings in strs, beginning at strs[start] For both versions, each string is separated from the next by the string specified by sep The following program demonstrates Split( ) and Join( ):

// Split and join strings using System; class SplitAndJoinDemo { static void Main() { string str = "One if by land, two if by sea"; char[] seps = {' ', '', ',' }; // Split the string into parts string[] parts = strSplit(seps); ConsoleWriteLine("Pieces from split: "); for(int i=0; i < partsLength; i++) ConsoleWriteLine(parts[i]); // Now, join the parts string whole = StringJoin(" | ", parts); ConsoleWriteLine("Result of join: "); ConsoleWriteLine(whole); } }

10 [w] [1,1,1,1,1,1] [w] [1,1,1,1,1,4] [w] [1,1,1,15,1,1]

Here is the output:

22:

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