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f = counterweight centroid location fs = centrifugal force F(O,x,y,z) = 3D cam coordinate frame hik = polynomial coef cient h = radial difference vector Io = cam inertia matrix Ixx = inertia component about x axis Iyy = inertia component about y axis Ixy = product of inertia Ixz = product of inertia Iyz = product of inertia Izz = polar moment of inertia Io = inertia about O Jo = polar moment of inertia about O K = center of cam curvature l = distance from cam center to oscillating follower pivot m = radial difference vector ms = centrifugal moment n = position index count ni = unit outward normal vector of G O = center of cam rotation Ol = start of arc p = cam surface position, length p = position vector q = rst moment of cam area qo = rst moment about O Qo = rst moment about O r = cam radius of curvature r = position vector ri = position vector to surface R = cam region si = cam surface length s(y) = follower displacement function S = solid boundary Si = polygon segment t = thickness vi = third moment of Gi segment V = cam volume V3 = solid volume wi = inertia evaluation component x = Cartesian coordinate xi = location of balancing hole center xi = center of mass location y = Cartesian coordinate y = output displacement z = Cartesian coordinate = rst spatial derivative = second spatial derivative || || = absolute value a = pressure angle am = minimum pressure angle aM = maximum pressure angle y = angle of cam rotation

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Calculate Tan 1 1, Tan 1 1/ 3,

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Thus, they can be used to store any type of data, and different types of data can be mixed within the same collection Of course, because they store object references, they are not type-safe The non-generic collection classes and interfaces are in SystemCollections The specialized collections operate on a specific type of data or operate in a unique way For example, there are specialized collections for strings There are also specialized collections that use a singly linked list The specialized collections are declared in SystemCollectionsSpecialized The Collections API defines one bit-based collection called BitArray BitArray supports bitwise operations on bits, such as AND and XOR As such, it differs significantly in its capabilities from the other collections BitArray is declared in SystemCollections The generic collections provide generic implementations of several standard data structures, such as linked lists, stacks, queues, and dictionaries Because these collections are generic, they are type-safe This means that only items that are type-compatible with the type of the collection can be stored in a generic collection, thus eliminating accidental type mismatches Generic collections are declared in SystemCollectionsGeneric There are also several classes in the SystemCollectionsObjectModel namespace that support programmers who want to create their own generic collections Fundamental to all collections is the concept of an enumerator, which is supported by the non-generic interfaces IEnumerator and IEnumerable, and the generic interfaces IEnumerator<T> and IEnumerable<T> An enumerator provides a standardized way of accessing the elements within a collection, one at a time Thus, it enumerates the contents of a collection Because each collection must implement either a generic or non-generic form of IEnumerable, the elements of any collection class can be accessed through the methods defined by IEnumerator or IEnumerator<T> Therefore, with only small changes, the code that cycles through one type of collection can be used to cycle through another As a point of interest, the foreach loop uses the enumerator to cycle through the contents of a collection A feature related to an enumerator is the iterator It simplifies the process of creating classes, such as custom collections, that can be cycled through by a foreach loop Iterators are also described in this chapter One last thing: If you are familiar with C++, then you will find it helpful to know that the collection classes are similar in spirit to the Standard Template Library (STL) classes defined by C++ What a C++ programmer calls a container, a C# programmer calls a collection The same is true of Java If you are familiar with Java s Collections Framework, then you will have no trouble learning to use C# collections Because of the differences among the four types of collections non-generic, bit-based, specialized, and generic this chapter discusses each separately.

D = difference angle D = incremental area g = angle between tangent to cam and radius G = cam surface or curve k = cam surface curvature l = arc length m = angle between velocity vector and cam radius m = ramp function from 0 to 1 r = radius to point Q on cam pro le r = mass density s(y) = positive de nite follower displacement function q = angle to point Q on cam pro le j(y) = follower oscillation function w = camshaft speed

Here are the next two lines in the program:

ConsoleWrite("y contains x / 2: "); ConsoleWriteLine(y);

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