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String is defined in the System namespace It implements the IComparable, IComparable<string>, ICloneable, IConvertible, IEnumerable, IEnumerable<char>, and IEquatable<string> interfaces String is a sealed class, which means that it cannot be inherited String provides string-handling functionality for C# It underlies C# s built-in string type and is part of the NET Framework The next few sections examine String in detail

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The String class defines several constructors that allow you to construct a string in a variety of ways To create a string from a character array, use one of these constructors: public String(char[ ] chrs) public String(char[ ] chrs, int start, int count) The first form constructs a string that contains the characters in chrs The second form uses count characters from chrs, beginning at the index specified by start You can create a string that contains a specific character repeated a number of times using this constructor: public String(char ch, int count) Here, ch specifies the character that will be repeated count times You can construct a string given a pointer to a character array using one of these constructors: public String(char* chrs) public String(char* chrs, int start, int count) The first form constructs a string that contains the characters pointed to by chrs It is assumed that chrs points to a null-terminated array, which is used in its entirety The second form uses count characters from the array pointed to by chrs, beginning at the index specified by start Because they use pointers, these constructors can be used only in unsafe code You can construct a string given a pointer to an array of bytes using one of these constructors: public String(sbyte* chrs) public String(sbyte* chrs, int start, int count) public String(sbyte* chrs, int start, int count, Encoding en) The first form constructs a string that contains the bytes pointed to by chrs It is assumed that chrs points to a null-terminated array, which is used in its entirety The second form uses count characters from the array pointed to by chrs, beginning at the index specified by start The third form lets you specify how the bytes are encoded The default encoding is ASCIIEncoding The Encoding class is in the SystemText namespace Because they use pointers, these constructors can be used only in unsafe code.

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The derivatives of the B-splines required above can be evaluated using the recurrence relationships described earlier The mth derivative of rational B-splines at a given point x satisfy the following relationship:

[exp(a)]2 [exp(b)]3 [exp(c)]4 SOLUTION We calculate that [exp(a)] [exp(a)] [exp(b)] [exp(b)] [exp(b)] [exp(a)]2 [exp(b)]3 = 4 [exp(c)] [exp(c)] [exp(c)] [exp(c)] [exp(c)] exp(a + a + b + b + b) = exp(c + c + c + c) = exp(a + a + b + b + b c c c c) = exp(2a + 3b 4c) You Try It: Simplify the expression (exp a) 3 (exp b)2 / exp(5c)

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A string literal automatically creates a string object For this reason, a string object is often initialized by assigning it a string literal, as shown here:

j =1

string str = "a new string";

Now we want to learn some calculus properties of our new function exp(x) These are derived from the standard formula for the derivative of an inverse, as in Section 251 For all x we have d (exp(x)) = exp(x) dx In other words, exp(x) dx = exp(x) More generally, du d exp(u) = exp(u) dx dx

The String class defines one field, shown here: public static readonly string Empty Empty specifies an empty string, which is a string that contains no characters This differs from a null String reference, which simply refers to no object There is one read-only indexer defined for String, which is shown here: public char this[int idx] { get; } This indexer allows you to obtain the character at a specified index Like arrays, the indexing for strings begins at zero Since String objects are immutable, it makes sense that String supports a read-only indexer There is one read-only property: public int Length { get; } Length returns the number of characters in the string

( x ) = 0

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