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Involute, of circle, 549 550, 549f Iron cast, 265f 266f, 271, 532 533 ductile, 535 Jerk in automotive cams, 536, 537f, 538f in constant acceleration curve, 35f, 58f skewed, 37f in cubic no 1 curve, 39, 39f in cubic no 2 curve, 40, 41f in cycloidal motion curve, 45, 45f, 58t equation for, 29 extreme tolerances and, 296 in harmonic curves double, 46, 46f Freudenstein 1-3, 104 Freudenstein 1-3-5, 105 Gutman 1-3, 103 simple, 42, 42f, 58t pertinence of, 31 in polydyne design, 440 in polynomial curves 2-3, 91, 91f 3-4-5, 58t, 92, 92f 4-5-6-7, 58t, 92 93, 93 in polynomial equation, 90 in sine curve, modi ed, 58t, 76 in trapezoidal motion curve, 58t modi ed, 58t Jump, 366, 366f prevention of, 366 367, 367f vibration and, 359 Kinetic energy of particle, 324 in planar motion, 325 327 of rotating body, 324 325 of system of particle, 324 of translating body, 324 Knife-edge follower de nition of, 4, 4f translating curvature of, 191f, 192 pressure angle of, 191f, 192 relevance of, 190 192 Knot sequence, 110, 114, 125 127 Lapping, 296 Leonardo da Vinci, 1 Levers, equivalent weight of, 438 439 L-head cam design, 531, 532f, 537

int* p; int q;

int* p, q;

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598 LIGA, 510 Linear ball bearings, 222, 222f Linear motion conversion from rotary, 474, 474f conversion to rotary, 473 474, 473f Linear spring systems, 337t Linkage mechanisms cam-modulated, 454f in MEMS, 512 performance characteristics of, 20 Lithography, soft, 510 Loads surface, 225 228 working, 218 219 Lobe wheels, 457, 458f LOCAM, RADCAM software, 564 Locking devices, in MEMS, 516 520, 517f, 518f, 519f Logarithmic spirals characteristics of, 548 549, 548f, 549f rolling in, 457, 458f, 459f Lubrication, 273 281 abrasive wear and, 263 adhesive bonding and, 262 boundary, 273 274, 273f contaminants in, 281 corrosion protection and, 264 corrosive wear and, 263 elastohydrodynamic (EHD), 273 277, 273f, 276t, 280f extreme-pressure (EP), 278 279, 280f lm thicknesses, 280f follower wear and, 306 functions of, 277 grease, 277 278, 278f hydrodynamic, 273, 273f importance of, x liquid systems, 278 mineral oil, 278, 278t mixed-regime, 273, 273f selection of, 277 281, 279t, 280f self-lubrication, 270 of sliding followers, 312 Lubrication lm parameter, 276 277 Lumped parameter modeling, 316 317 Machine frames, rigidity of, 296, 359, 448 MACSYMA software, 203 Manual control, 286 Manufacturing accuracy in cutter tolerances and, 294, 294f, 295f

creates two pointer variables Thus, in C# it is the same as these two declarations:

SOLUTION Notice that the function k can be thought of as two operations applied in sequence First we double and add three, then we square Thus de ne f (x) = 2x + 3 and g(x) = x 2 Then k(x) = (g f )(x) We can also compose three (or more) functions: De ne (h g f )(x) = h(g(f (x))) EXAMPLE 138

int* p; int* q;

grinding to improve, 295 296 importance of, x, 21, 286, 287, 287f, 291 inspection methods, 291, 297 301 real-world example, 566 572, 573f 583f quality control in, 285 286, 287 tolerances, typical, 291 balance and, 363 computers in See Computer-aided design (CAD); Computer-aided manufacturing (CAM); Computer numerical control (CNC) errors in, 291 296 nishing, importance of, 296 material processes, 301 303 materials See Materials methods of, 286 287 computer numerical control (CNC), 286, 288 291, 290f master cam analog duplication method, 287 288, 288f, 289f real-world example, 566 572, 567f 583f toolmakers, knowledge of, 25 MAPLE, 203 Mass de nition of, 327 equivalent, 329 332 in spring models, 341 342, 341f Massachusetts Institute of Technology, 512 Mass-spring system complex model of, 319 321 simple model of, 317 319, 318f Master cam analog duplication method, 287 288, 288f, 289f Materials for automotive cams, 531 535 bronze alloy, 266f, 270 271, 271f compatibility of adhesion and, 262 designing for, 264 272, 265t 266t importance of, 24 elasticity of, in system design, 24 hardness, and wear, 269 270 iron cast, 265f 266f, 271, 532 533 ductile, 535 plastics, 270, 270f processing of, 301 303 steels, hardened, 265f, 271 272, 532, 534 535 Materials parameter, 276, 276t Mathcod software, 563

This is an important difference to keep in mind when porting C/C++ code to C#

Two operators are used with pointers: * and & The & is a unary operator that returns the memory address of its operand (Recall that a unary operator requires only one operand) For example,

Write the function k from the last example as the composition of three functions (instead of just two)

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