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In addition to formatting numeric values, another data type to which formatting is often applied is DateTime DateTime is a structure that represents date and time Date and time values can be displayed a variety of ways Here are just a few examples: 06/05/2006 Monday, June 5, 2006 12:59:00 12:59:00 PM Also, the date and time representations can vary from country to country For these reasons, the NET Framework provides an extensive formatting subsystem for time and date values Date and time formatting is handled through format specifiers The format specifiers for date and time are shown in Table 22-7 Because the specific date and time representation may vary from country to country and by language, the precise representation generated will be influenced by the cultural settings

FIGURE 528 Normalized fourth derivative of output motions for spline (k = 10) and optimized polydyne in Example 8

Part II:

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Format Date in long form Date in short form Date and time in long form Date and time in short form Date in short form, time in long form Date in short form, time in short form Month and day Same as M A form of date and time that includes the time zone The string produced by the O format can be parsed back into the equivalent date and time This is called the round trip format Same as O Date and time in standard, GMT form Same as R A sortable form of date and time Time in long form Time in short form Long form, universal form of date and time Time is displayed as UTC Short form, universal form of date and time Month and year Same as Y

This example demonstrates that the combination of the spline interpolation procedure and the spline collocation approach to the solution of differential equations yield an effective approach to the synthesis and analysis of cams with nonrigid followers It exploits the spline interpolation method described earlier to motion synthesis The spline collocation approach to the solution of differential equations is accurate, ef cient, and reliable and utilizes most of the same software resources that are used in the spline synthesis procedure

SOLUTION We take the natural logarithm of both sides: ln F (x) = ln (cos x)(sin x) = (sin x) (ln(cos x)) ( )

Here is a program that demonstrates the date and time format specifiers:

// Format time and date information using System; class TimeAndDateFormatDemo { static void Main() { DateTime dt = DateTimeNow; // obtain current time ConsoleWriteLine("d format: {0:d}", dt); ConsoleWriteLine("D format: {0:D}", dt); ConsoleWriteLine("t format: {0:t}", dt); ConsoleWriteLine("T format: {0:T}", dt); ConsoleWriteLine("f format: {0:f}", dt); ConsoleWriteLine("F format: {0:F}", dt);

A three-dimensional cam is shown in Fig 533 In the case presented here, the follower position is a function of two input variables, the translation and rotation of the cam Three-

22:

ConsoleWriteLine("g format: {0:g}", dt); ConsoleWriteLine("G format: {0:G}", dt); ConsoleWriteLine("m format: {0:m}", dt); ConsoleWriteLine("M format: {0:M}", dt); ConsoleWriteLine("o format: {0:o}", dt); ConsoleWriteLine("O format: {0:O}", dt); ConsoleWriteLine("r format: {0:r}", dt); ConsoleWriteLine("R format: {0:R}", dt);

Now we calculate the derivative using the formula ( ) preceding this example: The derivative of the left side of ( ) is F (x) F (x) Using the product rule, we see that the derivative of the far right side of ( ) is (cos x) (ln(cos x)) + (sin x) sin x cos x

Vibration amplitudes x 0001 (in)

ConsoleWriteLine("s format: {0:s}", dt); ConsoleWriteLine("u format: {0:u}", dt); ConsoleWriteLine("U format: {0:U}", dt); ConsoleWriteLine("y format: {0:y}", dt); ConsoleWriteLine("Y format: {0:Y}", dt); } }

Sample output is shown here:

FIGURE 529 Amplitudes of primary and residual vibrations for both spline (k = 10) optimized polydyne with damping ratio = 02 (Cs = Cf) in Example 8

d D t T f F g G m M o O r R s u U y Y format: format: format: format: format: format: format: format: format: format: format: format: format: format: format: format: format: format: format: 6/18/2008 Wednesday, June 18, 2008 11:53 AM 11:53:09 AM Wednesday, June 18, 2008 11:53 AM Wednesday, June 18, 2008 11:53:09 AM 6/18/2008 11:53 AM 6/18/2008 11:53:09 AM June 18 June 18 2008-06-18T11:53:095074933-05:00 2008-06-18T11:53:095074933-05:00 Wed, 18 Jun 2008 11:53:09 GMT Wed, 18 Jun 2008 11:53:09 GMT 2008-06-18T11:53:09 2008-06-18 11:53:09Z Wednesday, June 18, 2008 4:53:09 PM June, 2008 June, 2008

We conclude that F (x) = (cos x) (ln(cos x)) + (sin x) F (x) Thus F (x) = (cos x) (ln(cos x)) = (cos x) ln(cos x) You Try It: Differentiate log9 | cos x| You Try It: Differentiate 3sin(3x) Differentiate x sin 3x EXAMPLE 629

The next program creates a very simple clock The time is updated once every second At the top of each hour, the computer s bell is sounded It uses the ToString( ) method of DateTime to obtain the formatted time prior to outputting it If the top of the hour has been reached, then the alert character (\a) is appended to the formatted time, thus ringing the bell

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