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As stated in Chap 5, we can classify the points at which the function blows up or goes to zero A removable singularity is a point a at which the function appears to be unde ned, but it can be shown by writing down the Laurent expansion that in fact the function is analytic at a In this case the Laurent expansion in Eq (715) assumes the form f ( z) = an ( z a)n



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Previous chapters showed you how to solve remarkably complex problems in PowerShell using only commands and operators. You can select, sort, edit, and present all manner of data by composing these elements into pipelines and expressions. In fact, commands and operators were the only elements available in the earliest prototypes of PowerShell. Sooner or later, however, if you want to write significant programs or scripts, you need to add some sort of custom looping or branch logic to your solution. This is what we re going to cover in this chapter: PowerShell s take on the traditional programming constructs that all languages possess. PowerShell has the usual flow control statements for branching and loops; however, there are some behavioral differences that even experienced shell users should be aware of. The most obvious difference is that PowerShell typically allows the use of pipelines in places where other programming languages only allow simple 147





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expressions. An interesting implication of this pipeline usage is that the PowerShell switch statement is both a looping construct and a conditional statement, as you ll see in this chapter. This is also the first time we ve really dealt with keywords in PowerShell. Keywords are part of the core PowerShell language. This means that, unlike cmdlets, keywords cannot be redefined or aliased. Keywords are also case insensitive so you can write foreach, ForEach, or FOREACH and they will all be accepted by the interpreter. (By convention, however, keywords in PowerShell scripts are usually written in lowercase.) With these basics out of the way, let s look at the PowerShell flow control statements themselves.

where k 0 Then it turns out the point z = a is a zero of order k On the other hand, suppose that the series expansion retains terms with n < 0: f ( z) =

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The first statement we ll look at is the if statement. This is the basic conditional statement found in all languages. Figure 6.1 shows the structure of this statement. The statement shown in figure 6.1 is somewhat hard to read, so here s an example to clarify how the if statement works

if ($x gt 100) { "It's greater than one hundred" } elseif ($x gt 50) { "It's greater than 50" } else { "It's not very big." }

-02 -03

if (<pipeline>) {<statementList>} elseif (<pipeline>) {<statementList>} else {<statementList>}

a ( z a)

Figure 6.1 PowerShell s version of the if Statement, which is the basic conditional statement found in all software languages.

In this example, if the variable $x holds a value greater than 100, the string It s greater than one hundred will be emitted. If $x is greater than 50 but less than 100, it will emit It s greater than 50 ; otherwise you ll get It s not very big . Of course, you can have zero or more elseif clauses to test different things. As you might have noticed, the PowerShell if statement is modeled on the if statement found in C-derived languages such as C#, but there are a couple of exceptions. First, elseif is a single keyword with no spaces allowed between the words. Next, the braces are mandatory around the statement lists, even if you only have a single statement in the list (or no statements for that matter, in which case you would have to type {} ). If you try to write something like

Then we say that the point z = a is a pole of order k Simply put, a pole is a point that behaves like the point z = 0 for g( z ) = 1 / 2 That is, as z a , then f ( z)

if ($x gt 100) "It's greater than one hundred"

s lth a g g s g es ea ing es e m e lin gin tc hin htn e nH urn Stin yth I ryn P B D ki Tig Er ll S e ra Ov

you ll get a syntax error:

5 0 Im(z) 5 5 0 Re(z)

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