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Two new things are occurring here First, the built-in method Write( ) is used to display the string y contains x / 2: This string is not followed by a new line This means that when the next output is generated, it will start on the same line The Write( ) method is just like WriteLine( ), except that it does not output a new line after each call Second, in the call

Tan 1 ( 3)

2:

An Overview of C#

The geometric properties of the pro le of disk cams is studied here To produce accurate values of both local and global properties of the contour, a suitable number of points {Pi}m 1 on the cam pro le, with Cartesian coordinates (xi, yi), for i = 1, , m, is required Local properties pertain to slope and curvature values throughout the contour; global properties involve area or, correspondingly, volume, centroid location, and moments and products of inertia of the cam Thus, global geometric properties require the calculation of integrals, which, broadly speaking, involve numerically stable computations That is, truncation errors induced by the discretization of the contour are attenuated due to the ltering effect of integrations, although care must be taken to produce results that are accurate enough Various techniques are currently available for the systematic evaluation of the integrals that arise in this context, those yielding the highest accuracy for a xed value of m being techniques based on spline representations of the contour However, regarding the calculation of local properties, the truncation errors due to the contour discretization are ampli ed by virtue of the differentiations involved Various techniques are available to cope with these problems; the techniques favored in this chapter are those based on a spline representation of the contour Thus, a methodology for handling the discrete points via nonparametric and parametric cubic splines is described In Sec 72 various concepts of differential geometry are outlined; these involve local properties such as slope, which is needed in the calculation of the pressure angle, and cam curvature, which arises in avoiding cusps and undercutting In Sec 73, the computation of the global properties of the cam is studied The computational issues around the calculation of the local and global geometric properties of planar cam plates are addressed in Sec 74 An outline of relevant commercial software is included in Sec 75, and Sec 76 closes with some case studies.

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to WriteLine( ), notice that y is used by itself Both Write( ) and WriteLine( ) can be used to output values of any of C# s built-in types One more point about declaring variables before we move on: It is possible to declare two or more variables using the same declaration statement Just separate their names by commas For example, x and y could have been declared like this:

SOLUTION We have Tan 1 1 = , 4 1 Tan 1/ 3 = , 6 1 Tan ( 3) = 3

variables are variables whose type is automatically determined by the compiler Implicitly typed variables are discussed in 3

The differential-geometry relationships pertaining to cam pro les are discussed in this section These relationships will be used later for determining the cam pro le and some related variables, such as the tangent orientation, required to evaluate the pressure angle, and the curvature of the cam pro le, required to verify the occurrence of cusps and under-

In the preceding program, a variable of type int was used However, an int variable can hold only whole numbers It cannot be used when a fractional component is required For example, an int variable can hold the value 18, but not the value 183 Fortunately, int is only one of several data types defined by C# To allow numbers with fractional components, C# defines two floating-point types: float and double, which represent single- and doubleprecision values, respectively Of the two, double is the most commonly used To declare a variable of type double, use a statement similar to that shown here:

double result;

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