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The ArrayList class supports dynamic arrays, which can grow or shrink as needed In C#, standard arrays are of a fixed length, which cannot be changed during program execution This means you must know in advance how many elements an array will hold But sometimes you may not know until runtime precisely how large an array you will need To handle this situation, use ArrayList An ArrayList is a variable-length array of object references that can dynamically increase or decrease in size An ArrayList is created with an initial size When this size is exceeded, the collection is automatically enlarged When objects are removed, the array can be shrunk ArrayList is currently in wide use in existing code For this reason, it is examined in depth here However, many of the same techniques that apply to ArrayList apply to the other collections as well, including the generic collections ArrayList implements ICollection, IList, IEnumerable, and ICloneable ArrayList has the constructors shown here: public ArrayList( ) public ArrayList(ICollection c) public ArrayList(int capacity)

Part II:

Our differentiation formulas for inverse trigonometric functions can be written in reverse, as antidifferentiation formulas We have du = Sin 1 u + C; 1 u2 du = Cos 1 u + C; 2 1 u du du = Tan 1 u + C 1 + u2 The important lesson here is that, while the integrands involve only polynomials and roots, the antiderivatives involve inverse trigonometric functions

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The first constructor builds an empty ArrayList with an initial capacity of zero The second constructor builds an ArrayList that is initialized with the elements specified by c and has an initial capacity equal to the number of elements The third constructor builds an array list that has the specified initial capacity The capacity is the size of the underlying array that is used to store the elements The capacity grows automatically as elements are added to an ArrayList In addition to the methods defined by the interfaces that it implements, ArrayList defines several methods of its own Some of the more commonly used ones are shown in Table 24-4 An ArrayList can be sorted by calling Sort( ) Once sorted, it can be efficiently searched by BinarySearch( ) The contents of an ArrayList can be reversed by calling Reverse( ) ArrayList supports several methods that operate on a range of elements within a collection You can insert another collection into an ArrayList by calling InsertRange( ) You can remove a range by calling RemoveRange( ) You can overwrite a range within an ArrayList with the elements of another collection by calling SetRange( ) You can also sort or search a range rather than the entire collection By default, an ArrayList is not synchronized To obtain a synchronized wrapper around a collection, call Synchronized( )

where sgn( ) is the signum function of ( ), which is de ned as +1 if its argument is positive and -1 if its argument is negative If the argument vanishes, then we can de ne sgn( ) arbitrarily as zero Therefore, k = - sgn[l ( q )] p ( q ) Ep ( q ) 3 p ( q )

Method public virtual void AddRange(ICollection c) public virtual int BinarySearch(object v) Description Adds the elements in c to the end of the invoking ArrayList Searches the invoking collection for the value passed in v The index of the matching element is returned If the value is not found, a negative value is returned The invoking list must be sorted Searches the invoking collection for the value passed in v using the comparison object specified by comp The index of the matching element is returned If the value is not found, a negative value is returned The invoking list must be sorted Searches the invoking collection for the value passed in v using the comparison object specified by comp The search begins at startIdx and runs for count elements The index of the matching element is returned If the value is not found, a negative value is returned The invoking list must be sorted Copies the contents of the invoking collection to the array specified by ar, which must be a onedimensional array compatible with the type of the elements in the collection Copies the contents of the invoking collection to the array specified by ar, beginning at startIdx The array must be a one-dimensional array compatible with the type of the elements in the collection

public virtual int BinarySearch(object v, IComparer comp)

(719a)

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