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Angeles, J, Synthesis of Plane Curves with Prescribed Local Geometric Properties Using Periodic Splines, Computer-Aided Design, 15 (3): 147 155, 1983 Angeles, J, and Lopez-Cajun, C, Optimal Synthesis of Cam Mechanisms with Oscillating Flat-Face Followers, Mechanisms and Machine Theory, 23 (1): 1 6, 1988 Ascher, U, Solving Boundary-Value Problems with a Spline-Collocation Code, Journal of Computational Physics, 34: 401 413, 1980 Ascher, U, Christiansen, J, and Russell, R D, A Collocation for Mixed Order Systems of Boundary Value Problems, Mathematics of Computation, 33: 659 679, 1979 Barkan, P, Calculation of High-Speed Valve Motion with a Flexible Overhead Linkage, SAE Trans, 61: 678 700, 1953 Barkan, P, Discussion in: ASME Journal of Engineering for Industry, 87: 191 204, 1965 Butcher, J C, Implicit Runge-Kutta Processes, Mathematics of Computation, 18: 50 64,1964 Butter eld, K R, The Computation of All the Derivatives of a B-Spline Basis, J Inst Math Appl, 17: 15 25, 1976 Carey, G F, and Finlayson, B A, Orthogonal Collocation on Finite Elements, Chemical Engineering Science, 30: 587 596, 1975 Cerutti, J H, Collocation for Systems of Ordinary Differential Equations, Computer Sciences Technical Report #230, University of Wisconsin, Madison, WI, 1974 Chan, C, and Pisano, A P, Dynamic Model of a Fluctuating Rocker-Arm Ratio Cam System, ASME Journal of Mechanisms, Transmissions, and Automation in Design, 109: 357 365, 1987 Chen, F Y, Assessment of the Dynamic Quality of a Class of Dwell-Rise-Dwell Cams, ASME Journal of Mechanical Design, 13: 793 802, 1981 Chen, F Y, Mechanics and Design of Cam Mechanisms, Pergamon Press, New York, 1982 Chew, M, Freudenstein, F, and Longman, R W, Application of Optimal Control Theory to the Synthesis of High-Speed Cam-Follower Systems-Part 1: Optimality Criterion, ASME Journal of Mechanisms, Transmissions, and Automation in Design, 105: 576 584, September 1983 Cox, M G, The Numerical Evaluation of B-Splines, J Inst Math Appl, 10: 134 149, 1972 Curry, H B, and Schoenburg, I J, On Polya Frequency Functions IV: The Fundamental Spline Functions and Their Limits, J Analyse Math, 17: 71 107, 1966 Dhande, S G, Bhadoria, B S, and Chakraborty, J, A Uni ed Approach to the Analytical Design of Three-Dimensional Cam Mechanisms, ASME Journal of Engineering for Industry, pp 327 333, 1975 de Boor, C, On Calculating with B-Splines, J Approximation Theory, 6: 50 62, 1972 de Boor, C, A Practical Guide to Splines, Springer-Verlag, 1978 de Boor, C, Package for Calculating with B-Splines, SIAM Journal of Numerical Analysis, 14 (3): 441 472, June 1977 de Boor, C, and Swartz, B, Collocation at Gaussian Points SIAM Journal of Numerical Analysis, 10: 582 606, 1973 Dudley, W M, A New Approach to Cam Design, Machine Design, 19: 143 184, July 1947 Farin, G, Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide, Academic Press, London, 1988 Faux, L D, and Pratt, M J, Computational Geometry for Design and Manufacture, Ellis Horwood Limited, London, 1979 Forsythe, G E, Malcolm, M A, and Moler, C B, Computer Methods for Mathematical Computations, Prentice-Hall, Upper Saddle River, NJ, 1977 Foy, P A, Ed, The Port Mathematical Subroutine Library, Bell Laboratories, Murray Hill, NJ, 1977 Freudenstein, F, On the Dynamics of High-speed Cam Pro les, Int J Mech Sci, 1: 342 349, 1960.

The proper Tick Tock output is the same as before As long as the method being synchronized is not defined by a public class or called on a public object, then whether you use lock or MethodImplAttribute is your decision Both produce the same results Because lock is a keyword built into C#, that is the approach the examples in this book will use

Instead, use lock, locking on a private object (as explained earlier)

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Figure 614 shows the graphs of each of the six trigonometric functions Notice that each graph has the property that some horizontal line intersects the graph at least twice Therefore none of these functions is invertible Another way of seeing this point is that each of the trigonometric functions is 2 -periodic (that is, the function repeats itself every 2 units: f (x + 2 ) = f (x)), hence each of these functions is not one-to-one If we want to discuss inverses for the trigonometric functions, then we must restrict their domains (this concept was introduced in Subsection 185) In this section we learn the standard methods for performing this restriction operation with the trigonometric functions

Part II:

Although C# s lock statement is sufficient for many synchronization needs, some situations, such as restricting access to a shared resource, are sometimes more conveniently handled by other synchronization mechanisms built into the NET Framework The two described here are related to each other: mutexes and semaphores

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