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Description Defines the foundational features for the generic collections Defines the generic Compare( ) method that performs a comparison on objects stored in a collection Defines a generic collection that consists of key/value pairs Defines the generic GetEnumerator( ) method, which supplies the enumerator for a collection class Provides members that enable the contents of a collection to be obtained one at a time Compares two objects for equality Defines a generic collection that can be accessed via an indexer

Part II:

Then the integration by parts formula tells us that x 2 ex dx = u dv = uv v du = x 2 ex ex 2x dx ( )

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ICollection<T> defines the following methods Notice it defines a few more methods than does its non-generic counterpart

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Method void Add(T obj) void Clear( ) bool Contains(T obj) void CopyTo(T[ ] target, int startIdx) Description Adds obj to the invoking collection Throws a NotSupportedException if the collection is read-only Deletes all elements from the invoking collection and sets Count to zero Returns true if the invoking collection contains the object passed in obj and false otherwise Copies the contents of the invoking collection to the array specified by target, beginning at the index specified by startIdx Removes the first occurrence of obj from the invoking collection Returns true if obj was removed and false if it was not found in the invoking collection

bool Remove(T obj)

and the parameters involved are shown in Fig 79 Finally, the formula for calculating the curvature of the pitch curve of the oscillating roller follower is (Angeles and Lopez-Cajun, 1991) kk = e 2 (1 + f ) - el[(1 + f )(2 + f ) cos f + f sin f ] + l 2

We see that we have transformed the integral into a simpler one (involving x ex instead of x 2 ex ), but another integration by parts will be required Now we take u = 2x and dv = ex dx Then u(x) = 2x v(x) = ex So equation ( ) equals x 2 ex u dv = x 2 ex u v = x 2 ex 2x ex v du ex 2 dx du = u (x) dx = 2 dx dv = v (x) dx = ex dx

Several of these methods will throw NotSupportedException if the collection is read-only Because ICollection<T> inherits IEnumerable and IEnumerable<T>, it also includes both the generic and non-generic forms of the method GetEnumerator( ) Because ICollection<T> inherits IEnumerable<T>, it supports the extension methods defined by Enumerable Although the extension methods were designed mostly for LINQ, they are available for other uses, including collections

The IList<T> interface defines the behavior of a generic collection that allows elements to be accessed via a zero-based index It inherits IEnumerable, IEnumerable<T>, and ICollection<T> and is the generic version of the non-generic IList interface IList<T> defines the methods shown in Table 24-11 Two of these methods imply the modification of a collection If the collection is read-only or of fixed size, then the Insert( ) and RemoveAt( ) methods will throw a NotSupportedException IList<T> defines the following indexer: T this[int idx] { get; set; } This indexer sets or gets the value of the element at the index specified by idx

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Method int IndexOf(T obj) Description Returns the index of the first occurrence of obj if obj is contained within the invoking collection If obj is not found, 1 is returned Inserts obj at the index specified by idx Removes the object at the index specified by idx from the invoking collection

= x 2 ex 2x ex + 2ex + C We leave it to the reader to check this last answer by differentiation You Try It: Calculate the integral x 2 log x dx

void Insert(int idx, T obj) void RemoveAt(int idx)

- 2el(1 + f ) cos f + l 2 ]

24:

The IDictionary<TK, TV> interface defines the behavior of a generic collection that maps unique keys to values That is, it defines a collection that stores key/value pairs IDictionary<TK, TV> inherits IEnumerable, IEnumerable<KeyValuePair<TK, TV>>, and ICollection< KeyValuePair<TK, TV>> and is the generic version of the non-generic IDictionary The methods declared by IDictionary<TK, TV> are summarized in Table 24-12 All throw an ArgumentNullException if an attempt is made to specify a null key IDictionary<TK, TV> defines the following properties:

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