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to work. Initially, the hashtable member for a given key doesn t exist. The += operator retrieves $null from the table, converts it to 0, adds one, then assigns the value back to the hashtable entry. Let s verify that the script produces the same answer for the number of words as we found with the Sort -Unique solution.

The chemicals likely to elicit an ACD are generally small lipophilic compounds to which an individual is

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Notice that we used $h.psbase.keys.count. This is because there is a member in the hashtable that hides the keys property. In order to access the base keys member, we need to use the PSBase property to get at the base member on the hashtable.

Now we have a hashtable containing the unique words and the number of times each word is used. But hashtables aren t stored in any particular order, so we need to sort it. We ll use a scriptblock parameter to specify the sorting criteria. We ll tell it to sort the list of keys based on the frequency stored in the hashtable entry for that key.

This follows from the recursion relation for the gamma function, which holds for any z (not just integers): ( z + 1) = z ( z ) (113)

PS (20) > $frequency = $h.psbase.keys | sort {$h[$_]}

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The words in the sorted list are ordered from least frequent to most frequent. This means that $frequency[0] contains the least frequently used word.

EXAMPLE 111 Prove the recursion relation in Eq (113) for the gamma function SOLUTION This can be done using the de nition in Eq (111) We calculate ( z + 1): ( z + 1) = t z e t dt

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to the clinical picture of ACD It is important to note that while the initial sensitization process may take up to 21 days, subsequent reexposure of the sensitized individual may result in a rechallenge reaction within 48 to 120 hours2 For the most part, primary allergic contact type lesions present in the distribution of allergen epidermal contact, which ultimately provides a very important diagnostic clue as to the identity of the culprit chemical allergen There is a notable exception to this rule, however the recall reaction In the recall reaction, sites of previous sensitization may be remotely activated when contact with the chemical is initiated at a distant site The confounding factors of delay and recall pose a unique challenge in the diagnosis of ACD For example, one might not suspect the sensitizing role of the hair dye paraphenylenediamine when a patient develops a subsequent reaction to an ester-based topical anesthetic (both are para-aminobenzoic acid derivatives)4 (Fig 18-2)

And the last entry in frequency contains the most commonly used word. If you remember from chapter 3, we can use negative indexing to get the last element of the list.

PS (23) > $h["The"] 300

Now notice what happens if we take the derivative of the integrand: d z t (t e ) = z t z 1e t t z e t dt It follows that t z e t = z t z 1e t d z t (t e ) dt

Here are the top 10 most frequently used words the about_Assignment_operators help text:

PowerShell includes a cmdlet that is also useful for this kind of task: the GroupObject cmdlet. This cmdlet groups its input objects by into collections sorted by the specified property. This means that we can achieve the same type of ordering by the following:

CHAPTER 18 CONTACT DERMATITIS (TYPE 4 SENSITIVE SKIN)

Once again, we see that the most frequently used word is the :

0 d = z t z 1e t (t z e t ) dt 0 dt d = z t z 1e t dt (t z e t )dt 0 0 dt

PS (28) > $grouped[-1] Count Name ----- ---300 the Group ----{the, the, the, the...}

And we can display the 10 most frequent words by doing:

t =0

PS (29) > $grouped[-1..-10] Count ----300 126 88 86 68 64 55 41 41 37 Name ---the to value a you variable of $varA For following Group ----{the, the, the, the...} {to, to, to, to...} {value, value, value, value...} {a, a, a, a...} {you, You, you, you...} {variable, variable, variable... {of, of, of, of...} {$varA, $varA, $varA, $varA...} {For, for, For, For...} {following, following, follow...

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