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is necessary to choose suitable initial and boundary conditions, i.e. to define a model of a certain experiment. The initial condition describes the concentration conditions of the system at the beginning of the diffusion process. The values of the concentrations or material fluxes (which are proportional to concentration gradients) at the boundary surfaces of the system or at concentration discontinuities inside the system are described by the boundary conditions. For illustration, consider the simplest type of diffusion, described by the partial differential equation (2.5.3), also called linear diffusion. The system will be represented by an infinite tube closed at one end (for x = 0) and initially filled with a solution with concentration c . Diffusion is produced by very fast removal (e.g. by precipitation or an electrode reaction) of the dissolved substance at the x = 0 plane (the reference plane). The initial concentration c is retained at large distances from this reference plane (x >oo). The initial condition is thus x > 0, and the boundary conditions are

shown in Listing 6-2.

Listing 6-2: The code that produced the tree control shown in Figure 6-5

t = 0, t>0,

<cftree name= EmployeeLocation height= 250 width= 200 lookandfeel= METAL > <cftreeitem <cftreeitem <cftreeitem <cftreeitem <cftreeitem <cftreeitem <cftreeitem <cftreeitem <cftreeitem <cftreeitem <cftreeitem </cftree> value= 1 value= 2 value= 3 value= 4 display= North America > display= United States parent= 1 > display= Canada parent= 1 > display= Mexico parent= 1 >

value= 5 display= Europe > value= 6 display= Great Britain parent= 5 > value= 7 display= France parent= 5 > value= 8 display= Germany parent= 5 > value= 9 display= Spain parent= 5 > value= 10 display= Italy parent= 5 > value= 11 display= Austria parent= 5 >

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The spreadsheet can handle up to 1,000 songs as is. This is to conserve on computing power. However, if you want to expand it to handle more, it is possible. In Excel: 1. Go to Format Sheet Unhide, select calculations, and hit OK. 2. Select cell A1000. 3. Select the entire bottom row by pressing Ctrl+Shift+Right Arrow. 4. Select the number of rows you want to add by pressing Shift+Down Arrow or Shift+Page Down a number of times. 5. Press Ctrl+D to copy the last row into the newly selected rows. 6. If you wish, choose Format Sheet Hide to once again hide the calculations worksheet.

As do all other form controls, CFTREE has a Name that becomes the name of the form variable on the action template. Inside CFTREE are the CFTREEITEM tags that specify the items in the tree. Each CFTREEITEM tag has a Value and a Display, which act just as their equivalents in the CFSELECT tag do: If the user chooses North America in the tree control, as shown in Figure 6-5, Form.EmployeeLocation contains 1. The second CFTREEITEM tag in Listing 6-2 also has a Parent attribute. Parent tells the CFTREEITEM to relate itself to the CFTREEITEM with a Value that matches Parent in other words, the tree item for North America. CFTREE also has a Height, Width, and LookAndFeel as does CFSLIDER. CFTREE has a rather large number of attributes. See 51 for complete details.

(2.5.4)

Suppose that you add to the Employee table a ManagerID column that holds the EmployeeID of an Employee s manager. You can SELECT the data from the Employee table in a CFQUERY, loop over the query with CFLOOP, and put out CFTREEITEM tags, but doing so is somewhat tedious to program. Wouldn t just pointing CFTREE to a query result set and having CFTREE do all the rest be better First, get all the employees from the database by using the following code:

<cfquery name= GetEmployees datasource= TreeTest > SELECT EmployeeID AS ItemID, ManagerID AS ParentItemID, FirstName + + LastName AS Description

(2.5.5)

This query has some new syntax. First, notice that, instead of just selecting EmployeeID and ManagerID, the query selects EmployeeID AS ItemID and ManagerID AS ParentItemID. The query aliases these columns so that, although the database sees them as EmployeeID and ManagerID, ColdFusion sees them as ItemID and ParentItemID. And instead of selecting FirstName or LastName individually, the query selects the concatenation of FirstName + + LastName. The expression is aliased so that the employee name is available to ColdFusion as the Description column of the GetEmployees result set. ColdFusion must make the data presentable to the CFTREE or it does not work correctly. CFTREE requires that data used to populate the tree control be in the same order that you used them in manually specifying each CFTREEITEM tag in the section CFTREE, earlier in this chapter, and for this purpose, you use a third-party custom tag named CFX_Make_Tree, as follows:

<cfx_make_tree query= #GetEmployees# > CFX_MAKE_TREE is a CFX tag written in C++ that is freely available from the Macromedia Developer s Exchange. Go to http://devex.macromedia.com and search for CFX_MAKE_TREE.

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