In Maple 2016 some Table properties can be accessed programmatically, meaning properties can be updated using the DocumentTools package. To enable this, Tables now have a name (or identity), which is listed in the Table Properties dialogue. Note the name is not the same as the title.

The following commands will update the Table above.

$\mathrm{with}\left(\mathrm{DocumentTools}\right)\:$

$\mathrm{SetProperty}\left(''Table0''\, \'\mathrm{title}\'\,''This\; Table\; is\; a\; Dynamic\; Component''\right)\;$

$\mathrm{SetProperty}\left(''Table0''\, \'\mathrm{fillcolor}\'\left[1\,1\right]\, \mathrm{blue}\right)\;$$$

$\mathrm{SetProperty}\left(''Table0''\, \'\mathrm{fillcolor}\'\left[2\,1..2\right]\, \mathrm{yellow}\right)\;$ 

$\mathrm{SetProperty}\left(''Table0''\, \'\mathrm{exterior}\'\, \mathrm{none}\right)\;$ 

$\mathrm{SetProperty}\left(''Table0''\, \'\mathrm{interior}\'\, \mathrm{none}\right)\;$ 

$\mathrm{SetProperty}\left(''Table0''\,\'\mathrm{visible}\'\left[3\,..\right]\, \mathrm{false} \right)\;$

$\mathrm{SetProperty}\left(''Table0''\,\'\mathrm{width}\'\, 400\right)\;$

$\mathrm{SetProperty}\left(''Table0''\,\'\mathrm{alignment}\'\, \'\mathrm{center}\'\right)\;$

For more information, see Table Properties using DocumentTools.

Tables can be also be created and inserted (or embedded) using DocumentTools commands:

$\mathrm{with}\left(\mathrm{DocumentTools}\right)\:$

$\mathrm{with}\left(\mathrm{DocumentTools}:-\mathrm{Layout}\right)\:$

$$\begin{gathered} \mathrm{InsertContent}\left( \mathrm{Worksheet}\left(\mathrm{Table}\left( \mathrm{Column}\left(\right)\$3\, \\ \mathrm{Row}\left( \mathrm{Cell}\left(''x''\right)\, \mathrm{Cell}\left(''y''\right)\, \mathrm{Cell}\left(''z''\right) \right)\, \mathrm{Row}\left( \mathrm{Cell}\left(1\right)\, \mathrm{Cell}\left(2\right)\, \mathrm{Cell}\left(3\right) \right)\, \\ \right)\right)\right)\: \end{gathered}$$

The Tabulate command provides built-in support for laying out lists, Arrays, Vectors, Matrices and DataFrames containing strings, numbers, math expressions, and plots. By constructing the content using the DocumentTools commands, further customization is possible and the inserted Table can also be subsequently altered programmatically.

The Table inserted above may receive a new identity upon insertion if the value of the identity option supplied to the Table constructor is already in use in the worksheet. The name lookup has been assigned a table which can be used to look up the identity that has been used for insertion. In this example, the identity has not changed since the supplied identity is not already used in any other component in the worksheet.

The next command hides rows 11 through 14 of the above Table. The identity of the inserted Table is used for this.

And those rows can be made visible once more.

In this example, we use the table's ability to show or hide cells, rows, or columns. This example presents an interactive application of an area chart in which you can easily change some options that affect how the plot is displayed.  After you get the look you want, you can hide the options in order to reduce screen clutter. For demonstration purposes, the "Hide Options" button is implemented using a captioned Button component, but this could be reduced to a simple unobtrusive icon.  

The above application was created by dragging components off the Components palette. The action handlers of the various embedded components obtain the relevant options and generate the plot using the AreaChartPlot module defined in the following Code Edit Region. Note how AreaChartPlot:-Options implements hiding the options column.  

For more applications and details, see the example worksheet Programmatic Content Generation.

The hover over action on Plot components allows code to be run any time the mouse hovers in the plot. In this example, the hover action code updates two TextArea components with information on the current position of the mouse cursor. In addition, the action code updates the plot shown in the Plot component with a pointplot corresponding to the current position of the mouse.

In this example, as the mouse moves from one quadrant of the plot to the next, the action code updates the plot shown in the Plot component. The action code also updates the TextArea components.

As a part of the new ThermophysicalData package, you can now generate psychrometric charts for humid air. The following chart, for example, is generated at 101325 Pa.

In this example, as the mouse hovers over the psychrometric chart, Maple:

The following components can make use of the background fill color option.

Consider the following example that uses coloring to delimit the rows. The contents inside of the Table are live active components. The numbers in the 'n' column are housed in TextArea components, and the series approximations are housed in MathContainer components. All components have their background color set to match the Table cells' fill color.

This example is interactive. Try changing n=6 to n=8 by putting your cursor on the 6 and typing over it with 8.

$\mathrm{TaylorTable}\left( \exp \left(x\right)\, x\, 6 \right)\;$

The following Code Edit Region implements the TaylorTable command seen above: