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The IDictionary interface defines the behavior of a non-generic collection that maps unique keys to values A key is an object that you use to retrieve a value at a later date Thus, a collection that implements IDictionary stores key/value pairs Once the pair is stored, you can retrieve it by using its key IDictionary inherits ICollection and IEnumerable The methods declared by IDictionary are summarized in Table 25-3 Several methods throw an ArgumentNullException if an attempt is made to specify a null key and null keys are not allowed To add a key/value pair to an IDictionary collection, use Add( ) Notice that the key and its value are specified separately To remove an element, specify the key of the object in a call to Remove( ) To empty the collection, call Clear( )

Now, let V3i, q3i, and IO be the contribution of the ith face Si of the polyhedron to the 3i corresponding integral, Di, ri, and IOi being the area, the position vector of the centroid, D and the inertia matrix of the polygon Si, respectively (The last two quantities are taken with respect to O) Then, V3i = 1 1 n i r dSi = n i ri D i Si 3 3 (765)

Part II:

Part II:

Method void Add(object key, object value) void Clear( ) bool Contains(object key) IDictionaryEnumerator GetEnumerator( ) void Remove(object key)

We calculate the polygon area Di and its centroid ri in a plane de ned by the polygon, using the method applied to 2-D regions, as outlined earlier in this subsection By subtracting twice the rightmost-side of Eq (763) from the middle one, we readily obtain an expression for qO as a summation of terms qO having the form 3 3i

TABLE 25-3

In accessing the sample Oracle sales history owned by SH, the preceding SQL would create the following partial output:

Description Adds the key/value pair specified by key and value to the invoking collection Removes all key/value pairs from the invoking collection Returns true if the invoking collection contains key as a key Otherwise, returns false Returns the enumerator for the invoking collection Removes the entry whose key equals key

O q 3i = -

You can determine whether a collection contains a specific object by calling Contains( ) with the key of the desired item GetEnumerator( ) obtains an enumerator compatible with an IDictionary collection This enumerator operates on key/value pairs IDictionary defines the following properties:

SALES | PROD_ID SALES | CUST_ID SALES | TIME_ID SALES | CHANNEL_ID SALES | PROMO_ID | Sales |Prod Id | Sales |Cust Id | Sales |Time Id | Sales |Channel Id | Sales |Promo Id | SALESPROD_ID | SALESCUST_ID | SALESTIME_ID | SALESCHANNEL_ID | SALESPROMO_ID || N | FK to the products dimension table || N | FK to the customers dimension table || D | FK to the times dimension table || C | FK to the channels dimension table | O | | O | | O | | O |

Property bool IsFixedSize { get; } bool IsReadOnly { get; } ICollection Keys { get; } ICollection Values { get; } Description Is true if the dictionary is of fixed size Is true if the dictionary is read-only Obtains a collection of the keys Obtains a collection of the values

(766)

Notice that the keys and values contained within the collection are available as separate lists through the Keys and Values properties IDictionary defines the following indexer: object this[object key] { get; set; } You can use this indexer to get or set the value of an element You can also use it to add a new element to the collection Notice that the index is not actually an index, but rather the key of the item

|| N | promotion identifier, without FK constraint (intentionally) to show outer join optimization| O | | O | | O |

IEnumerable is the non-generic interface that a class must implement if it is to support enumerators As explained, all of the non-generic collection classes implement IEnumerable because it is inherited by ICollection The sole method defined by IEnumerable is GetEnumerator( ), which is shown here: IEnumerator GetEnumerator( ) It returns the enumerator for the collection Also, implementing IEnumerable allows the contents of a collection to be obtained by a foreach loop IEnumerator is the interface that defines the functionality of an enumerator Using its methods, you can cycle through the contents of a collection For collections that store key/value pairs (dictionaries), GetEnumerator( ) returns an object of type IDictionaryEnumerator, rather than IEnumerator IDictionaryEnumerator inherits IEnumerator and adds functionality to facilitate the enumeration of dictionaries

25:

The second integral of Eq (766) is readily identi ed as IOi the second moment of D polygon Si Hence, 1 O O q 3i = - n i I D i 2 (767)