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string = "abcdefg" string <> "hijklmnop" StringLength[string] StringReverse[string] StringDrop[string, 2] StringDrop[string, 2] StringDrop[string, {2}] StringDrop[string, { 2}] StringDrop[string, {2, 5}] StringTake[string, 2] StringTake[string, 2] StringTake[string, {2}] StringTake[string,

1 2

{ 2}]

- 113 -

StringTake[string, {2, 5}]

StringInsert[string1, string2, n] yields a string with string2 inserted starting at position n in string1. StringInsert[string1, string2, n] yields a string with string2 inserted starting at the nth position from the end of string1. StringInsert[string1, string2, {n1, n2,...}] inserts a copy of string2 at each of the positions n1, n2, . . . of string1.

Denoting the integrals in (3) by I; I1 ; I2 , and I3 , respectively, we have I I1 I2 I3 so that jIj @ jI1 j jI2 j jI3 j Now jI2 j @ 1 1 f x v sin v dv @ 1 j f x v j dv v L L L

StringReplace[string, string1 newstring1] replaces string1 by newstring1 whenever it appears in string. StringReplace[string, {string1 newstring1, string2 newstring2, . . .}] replaces string1 by newstring1, string2 by newstring2, . . . whenever they appear in string. StringPosition[string, substring] returns a list of the start and end positions of all occurrances of substring within string. (Lists are discussed in detail in 3.)

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In the last chapter, we looked at various pieces of the UNIX system and networking framework to assist in developing a model for sharing UNIX resources with Windows clients using Samba. In 3, we continue this discussion thread by examining the corresponding Windows system and networking subsystems. In particular, we will look closely at Windows networking protocols, domains and workgroups, file systems, and access controls. Samba is an implementation of Windows file-and-print sharing services and also provides basic NT Primary Domain Controller (PDC) functionality. Thus a sound understanding of Windows networking protocols and domain services will be critical in successfully deploying Samba in the enterprise.

string1 = "abcdefg"; string2 = "123"; StringInsert[string1,string2, 3] ab123cdefg StringInsert[string1, string2, 3] abcde123fg StringInsert[string1, string2, {1, 3, 5, 7}] 123ab123cd123ef123g StringReplace[string1, "ab" "AB"] ABcdefg StringReplace[string1, {"ab" "AB", "fg" "FG"}] ABcdeFG

CHAP. 14]

string = "abcxabcxxabcxxxabc"; StringLength[string] 18 StringPosition[string, "abc"] {{1, 3}, {5, 7}, {10, 12}, {16, 18}}

All programming languages must have the ability to make assignments in order to transfer the result of a calculation to a symbol which can be recalled for later use. Mathematica offers two types of assignment and there is often confusion as to which one to use in a given situation.

lhs = rhs is an immediate assignment in which rhs is evaluated at the time the assignment is made. lhs rhs is a delayed assignment in which rhs is evaluated each time the value of lhs is called.

1 0@x<1 nd the (a) Fourier sine transform, (b) Fourier cosine transform of f x . In 0 xA1 each case obtain the graph of f x and its transform. r r 2 1 cos 2 sin ; b : Ans: a

The Windows NT operating system is similar to UNIX in that processes interact with CPU, memory, and hardware via an executive system services layer. NT employs preemptive multitasking to manage the execution of process threads in much the same way UNIX schedulers work. This allows NT to suspend some tasks to provide resources for higher priority tasks. NT is also multithreaded, giving it the capability of running on symmetric multiprocessing platforms. This seems quite a bit like UNIX. The NT development team spent a fair amount of time reviewing and borrowing ideas from UNIX and other computing architectures, and ultimately used Carnegie Mellon's Mach microkernel as the foundation for the operating system. Windows NT is implemented as a layered subsystem architecture and supports

In many situations both assignments produce identical results. There are, however, a few instances where one must be careful. The following examples use ideas that are discussed in later chapters. They are self-explanatory, however, and will be easily understood.

EXAMPLE 38 When defining functions recursively, must be used. For example,

f[0]= 1; f[n_] n f[n 1] produces n factorial. Since Mathematica cannot compute f[n] until the value of n is specified, the delayed assignment, , must be used. Using = causes recursion errors. f[5] 120 f[10]

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