This functions are represented by Analysis group buttons on Tools panel (chapter 2.4.1,fig.1-3).
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Buffered Area Creator
This tool allows to compute simple or circule buffers. Buffered area may be created for selected area of the active layer if it exists or for the entire layer if no selection exists.

Fig.1
Layer name. Dialog shows layer name for wich buffering task is performed by the user.
Buffer size determines the size of the future buffer area. To create simple buffer(fig.2-a) specify left size as 0 and right size as you need. To create circular buffer(fig.2-b) specify both left and right size as you need.
OK button. Sends buffer creation task to execution.
The task will take some time. At the bottom of the application window will appear Task's order panel(fig.3). After selecting the desired task in the Task list and clicking Refresh button you will get the resulting layer, if the execution is completed.
Cancel button. Cancels the buffer creation operation.

Fig.2

Fig.3
Overlay creator
This tool allows to perform overlay operations with two vector polygonal layers.

Fig.4
A - First operand. Select layer from drop down Layer list(1) , then select attributes of the selected layer from Attribute list(2). To perform multiple attribute selection use Ctrl key.
B - Overlay operation. Select from Operation(4) drop down listneeded operation type. You can use operations: Intersect, Join and Substruct. Split multi-polygons(3) check box is used to turn on separation of multi-polygons to separate polygons.
C - second operand. Select layer from drop down Layer list(6) , then select attributes of the selected layer from Attribute list(5). To perform multiple attribute selection use Ctrl key.
OK button. Performs overlay operation.
The task will take some time. At the bottom of the application window will appear Task's order panel(fig.3). After selecting the desired task in the Task list and clicking Refresh button you will get the resulting layer, if the execution is completed.
Cancel button. Cancels overlay operation.
Calculator dialog
This tool allows to perform different operations with raster layers.

Fig.5
1 - Exspresion. Displays exspression to calculate.
2 - Raster layers list. List to select raster layer to add to exspression.
3 - Add button. Adds selected in Raster layers list layer to exspression.
4 -Operations buttons. This buttons add operations to exspression. "=" button starts calculation.
As the result you will get a new raster layer.
Rasterization dialog
Allows to rasterize active polygonal vector layers.

Fig.6
1 - Raster cells values provider. This list consists of numeric attribute for layer. Select one of them to get raster layer with it's values.
2 - Number of cols and rows. Determines the size of new raster layer.
OK button. Performs rasterization operation. As the result you will get a new raster layer.
Cancel button. Cancels rasterization operation.