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To apply advanced filter criteria to a group of cells, do the following: 1. Insert at least three blank rows above the group of cells that you want to filter. You will use these blank rows to specify your advanced filter criteria. There must be at least one blank row between the advanced filter criteria and the group of cells that you want to filter, and both the advanced filter criteria s first row and the cell group s first row must contain data field labels. 2. Type the advanced filter criteria in the blank rows (see the examples in Tables 6-1 through 6-4). Place inclusive filter criteria ( and ) on the same row. Place exclusive filter criteria ( or ) on separate rows. 3. In Excel 2007, click Data (Sort & Filter) Advanced. In Excel 2003, click Data Filter Advanced Filter. In the Advanced Filter dialog box, do the following: 1. In the Action area, select the Filter the List, In-Place option to display only data records that match the specified criteria. Select the Copy to Another Location option to copy to another location the data records that match the specified criteria. 2. In the List Range box, type or select the group of cells that you want to filter. 3. In the Criteria Range box, type or select the group of cells that contain the advanced filter criteria. 4. If you select the Copy to Another Location option, in the Copy To box, type or select the cell location to which you want to start copying the data records that match the specified criteria. When you are done, click OK to apply the specified advanced filter criteria to the target cell group.

One technique that is particularly important in this chapter is the use of discriminated unions to capture the shape of the abstract syntax trees for symbolic languages Using functions as first-class values and applying recursive problem decomposition also leads to a natural and clean approach to computations on symbolic entities These and other features of F# combine to make symbolic programming concise and painless, allowing you to focus on the really interesting parts of your application domain..

'width' => '9', 'label' => 'LBL_ASSIGNED_TO_NAME', 'default' => true ), 'DATE_MODIFIED' => array( 'width' => '5', 'label' => 'LBL_DATE_MODIFIED' ), 'DATE_ENTERED' => array( 'width' => '5', 'label' => 'LBL_DATE_ENTERED' ), 'CREATED_BY_NAME' => array( 'width' => '10', 'label' => 'LBL_CREATED' ), 'MODIFIED_BY_NAME' => array( 'width' => '10', 'label' => 'LBL_MODIFIED' ), ); >

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You ve probably come across the need to perform symbolic differentiation one way or another; and unless you had access to a full-fledged mathematics application such as Matlab or Mathematica, you had to resort to working out the math yourself on paper. This no longer has to be the case, because you can develop your own symbolic differentiation tool in almost no time and with surprising brevity and clarity. Figure 12-1 shows the symbolic differentiation application that you implement in this chapter.

s Note For information on the Unique Records Only check box, see section 6.4: Filter for Unique Data.

Let s take it easy at first and assume you re dealing with simple algebraic expressions that can consist only of numbers, a single variable (it doesn t matter what it is, but let s assume it s x), sums, and products. Listing 12-1 shows the implementation of symbolic differentiation over this simple expression type.

Listing 12-1. Symbolic Differentiation Over a Simple Expression Type open System type Expr = | Var | Num of int | Sum of Expr * Expr | Prod of Expr * Expr let rec deriv expr = match expr with | Var -> | Num _ -> | Sum (e1, e2) -> | Prod (e1, e2) ->

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