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Description ANDs the bits of the invoking object with those specified by ba and returns a BitArray that contains the result Returns the value of the bit at the index specified by idx Performs a bitwise, logical NOT on the invoking collection and returns a BitArray that contains the result ORs the bits of the invoking object with those specified by ba and returns a BitArray that contains the result Sets the bit at the index specified by idx to v Sets all bits to v XORs the bits of the invoking object with those specified by ba and returns a BitArray that contains the result

SOLUTION We observe that the integrand is a product Let us use the integration by parts formula by setting u(x) = x and dv = cos x dx Then u(x) = x v(x) = sin x du = u (x) dx = 1 dx = dx dv = v (x) dx = cos x dx

24:

associated cam pro le is the trajectory of the center of the roller follower, which is known as the pitch curve Moreover, if the roller-follower cam is machined with a mill having a radius identical to that of its roller, then the pitch curve is identical to the trajectory of the cutter center, the curve needed for the programming of the NC machine tool used to produce the cam disk Thus, for translating knife-edge and roller followers, the pressureangle a can be obtained by: tana = s - e s (733)

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To the properties specified by the interfaces that it implements, BitArray adds Length, which is shown here: public int Length { get; set; } Length sets or obtains the number of bits in the collection Thus, Length gives the same value as does the standard Count property, which is defined for all collections However, Count is read-only, but Length is not Thus, Length can be used to change the size of a BitArray If you shorten a BitArray, bits are truncated from the high-order end If you lengthen a BitArray, false bits are added to the high-order end BitArray defines the following indexer:

public bool this[int idx] { get; set; } You can use this indexer to get or set the value of an element Here is an example that demonstrates BitArray:

where s is the rst derivative of the displacement s with respect to the angle y and e as shown in Fig 78 On the other hand, for both the knife-edge and the roller-follower, the curvature of the pitch curve is given by kk = where (Angeles and Lopez-Cajun, 1991) N s( s - s ) + ( s - e)(2 s - e) and D [ s 2 + ( s - e)

// Demonstrate BitArray using System; using SystemCollections; class BADemo { public static void ShowBits(string rem, BitArray bits) { ConsoleWriteLine(rem); for(int i=0; i < bitsCount; i++) ConsoleWrite("{0, -6} ", bits[i]); ConsoleWriteLine("\n"); } static void Main() { BitArray ba = new BitArray(8); byte[] b = { 67 }; BitArray ba2 = new BitArray(b); ShowBits("Original contents of ba:", ba); ba = baNot(); ShowBits("Contents of ba after Not:", ba); ShowBits("Contents of ba2:", ba2); BitArray ba3 = baXor(ba2); ShowBits("Result of ba XOR ba2:", ba3); } }

Of course we calculate v by anti-differentiation According to the integration by parts formula, x cos x dx = u dv v du sin x dx

The output is shown here:

2 32

Part II:

The NET Framework provides some specialized collections that are optimized to work on a specific type of data or in a specific way These non-generic collection classes are defined inside the SystemCollectionsSpecialized namespace They are synopsized in the following table:

Math Note: Observe that we can check the answer in the last example just by differentiation: d [x sin x + cos x + C] = 1 sin x + x cos x sin x = x cos x dx The choice of u and v in the integration by parts technique is signi cant We selected u to be x because then du will be 1 dx, thereby simplifying the integral

(734a)

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