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better solution in many cases), it is still important that you understand how they work because of their integral importance to LINQ An extension method is a static method that must be contained within a static, non-generic class The type of its first parameter determines the type of objects on which the extension method can be called Furthermore, the first parameter must be modified by this The object on which the method is invoked is passed automatically to the first parameter It is not explicitly passed in the argument list A key point is that even though an extension method is declared static, it can still be called on an object, just as if it were an instance method Here is the general form of an extension method: static ret-type name(this invoked-on-type ob, param-list) Of course, if there are no arguments other than the one passed implicitly to ob, then param-list will be empty Remember, the first parameter is automatically passed the object on which the method is invoked In general, an extension method will be a public member of its class Here is an example that creates three simple extension methods:

// Create and use some extension methods using System; static class MyExtMeths { // Return the reciprocal of a double public static double Reciprocal(this double v) { return 10 / v; } // Reverse the case of letters within a string and // return the result public static string RevCase(this string str) { string temp = ""; foreach(char ch in str) { if(CharIsLower(ch)) temp += CharToUpper(ch); else temp += CharToLower(ch); } return temp; } // Return the absolute value of n / d public static double AbsDivideBy(this double n, double d) { return MathAbs(n / d); } } class ExtDemo { static void Main() { double val = 80; string str = "Alpha Beta Gamma"; // Call the Recip() extension method ConsoleWriteLine("Reciprocal of {0} is {1}", val, valReciprocal());

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You Try It: Apply l H pital s Rule to the limit limx 2 sin( x)/(x 2 4) You Try It: Use l H pital s Rule to evaluate limh 0 (sin h/ h) and limh 0 (cos h 1/ h) These limits are important in the theory of calculus EXAMPLE 52

592 Concave cams, 170, 171f, 172, 182, 183f barrel, 486 487, 486f grooved globoidal, 486 487, 486f Conical cam, 11, 12f Conical rollers, 309, 310f Conjugate cam, 8 9, 9f Constant acceleration (parabolic) curve acceleration, maximum, in, 103 characteristics of, 545 546, 546f in DRD cams, 34 36, 35f, 50t, 51f, 58t in DRRD cams, 53, 53f harmonic content, 103 modi cation of with constant velocity curve, 57 60, 60f with cubic curve, 61 with cycloidal curve, 61 70, 62f, 68f, 78 81, 80f rolling in, 457, 458f spring forces and, 223, 224f transient-response curves, 362, 363f Constant velocity convolution, 431 434 Constant velocity curve in dwell-rise-dwell cams, 33 34, 33f, 50t modi ed, 57 60, 60f Constant velocity polynomial, 90 Constraint(s), in design nonrational, 110 117 in non-rigid systems, 131 133 rational, 117 127 in 3-D cams, 147 148, 150, 152, 153t 154t Constraint method, cam classi cation by, 14 15 Consumable electrode vacuum melt (CVM), 302 Contact mechanics contact stresses in, 256 260, 257f, 258f de nition of, x elastic contact theory, 253 255, 254f failure mechanisms in, x, 252 253 systems studied in, 252 Contact stresses, 256 260, 257f, 258f in at-faced followers, 258, 258f minimization of, 419 420, 424 425 in nonrigid systems, 131 Contaminants, in lubrication, 281 Continuity in acceleration curves, 30, 296 297, 297f, 400, 448 449 in basic curves, 29 B-splines and, 109, 110, 132 Contour-shaped radial cams, 464 465, 464f, 465f

Part I:

// Call the RevCase() extension method ConsoleWriteLine(str + " after reversing case is " + strRevCase()); // Use AbsDivideBy(); ConsoleWriteLine("Result of valAbsDivideBy(-2): " + valAbsDivideBy(-2)); } }

Control, in polynomial curves DRD cams, 94 96 DRRD cams, 96 98 Controlled-energy- ow forming (CEFF) technique, 303 Controlled translating cycle cams, 477, 477f Convex cams, 170, 171f, 172, 182, 183f Convolution constant velocity, 431 434 de nition of, 428, 429 xed, 430 431 Convolution operator cam design using, 427 434, 450 de nition of, 428 Corrosion fatigue, 264 Corrosive wear, 263 Coulomb (dry) friction, 344 345 Crossover point See Transition point Crossover shock, 359, 373 374, 447 Crowned rollers, 253 255, 254f, 258 259, 259f, 306, 308f Cubic curves blending of, with parabolic curves, 61 no 1, in dwell-rise-dwell cams, 38 39, 39f, 50t, 51f no 2, in dwell-rise-dwell cams, 40, 41f, 50t, 51f Cubic splines, 187 189, 193 194, 197 198 Curvature calculation of, 193 194 de nition of, 19, 180 design of, 21 determination of, 180 184 of at-faced follower, 190, 190f, 191f of roller followers, 191f, 192, 193f of translating knife-edge follower, 191f, 192 Curves See also Cam pro les; speci c curves basic curves, 27 54, 58t, 545 550 combination of fundamentals of, 57 modi ed curves, 55 87 overview, 56 simpli ed method for, 81 87 splines in, See Spline(s) Customers, communication with, 25 Cutters, spiral-cam, 468 469, 469f Cutter tolerances, error and, 294, 294f, 295f CVD See Carbon vacuum degassing CVM See Consumable electrode vacuum melt

The output is shown here:

x 0

Reciprocal of 8 is 0125 Alpha Beta Gamma after reversing case is aLPHA bETA gAMMA Result of valAbsDivideBy(-2): 4

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