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The Dictionary<TK, TV> class stores key/value pairs In a dictionary, values are accessed through their keys In this regard, it is similar to the non-generic Hashtable class Dictionary<TK, TV> implements IDictionary, IDictionary<TV, TV>, ICollection, ICollection<KeyValuePair<TK, TV>>, IEnumerable, IEnumerable<KeyValuePair<TK, TV>>, ISerializable, and IDeserializationCallback (The last two interfaces support the serialization of the list) Dictionaries are dynamic, growing as needed Dictionary<TK, TV> provides many constructors Here is a sampling: public Dictionary( ) public Dictionary(IDictionary<TK, TV> dict) public Dictionary(int capacity) The first constructor creates an empty dictionary with a default capacity The second creates a dictionary that contains the same elements as those in dict The third lets you specify an initial capacity If you know in advance that you will need a dictionary of a certain size, then specifying that capacity will prevent the resizing of the dictionary at runtime, which is a costly process Dictionary<TK, TV> defines several methods Some commonly used ones are shown in Table 24-16

Method public void Add(TK k, TV v)

O Qxi = 5 1 pi +1 k pi ( xy + x y)dp = aik (Dpi ) 2 k =1 9 1 pi +1 2 ( x + y 2 ) y dp = qxik (Dpi )k 2 pi k =1 9 1 pi +1 2 k pi ( x + y2 ) x dp = qyik (Dpi ) 2 k =1

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Description Adds the key/value pair specified by k and v to the dictionary If k is already in the dictionary, then its value is unchanged and an ArgumentException is thrown Returns true if k is a key in the invoking dictionary Returns false otherwise Returns true if v is a value in the invoking dictionary Returns false otherwise Returns an enumerator for the invoking dictionary Removes k from the dictionary Returns true if successful Returns false if k was not in the dictionary

x = (A + B)x 2 + (2B + C)x + (A + 2C) This equation must be identically true, so we nd (identifying powers of x) that A+ B =0 2B + C = 1 A + 2C = 0 Solving this system, we nd that A = 2/5, B = 2/5, C = 1/5 So x dx = x 3 + 2x 2 + x + 2 2/5 dx + x+2 2 = log |x + 2| + 5 2 = log |x + 2| + 5

public bool ContainsKey(TK k) public bool ContainsValue(TV v) public IDictionaryEnumerator<TK, TV> GetEnumerator( ) public bool Remove(TK k)

(753d) (753e) (753f )

Part II:

In addition to the properties defined by the interfaces that it implements, Dictionary<TK, TV> defines these properties:

O Qyi = -

Sometimes it is convenient to transform a given integral into another one by means of a change of variable This method is often called the method of change of variable or u-substitution

Property public IEqualityComparer<TK> Comparer { get; } public Dictionary<TK, TV>KeyCollection Keys { get; } public Dictionary<TK, TV>ValueCollection Values { get; } Description Obtains the comparer for the invoking dictionary Obtains a collection of the keys Obtains a collection of the values

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