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The Domain Window on the left and the Range Window on the right are at the heart of <zmap>. The program draws various curves in the domain and simultaneously computes and draws their images under a specified function in the range. You can adjust the parameters of the curves drawn in the domain and specify which ones are to be shown (see the Toolbar) to get an idea about the mapping properties of the selected function.

The line between domain and range can be moved left and right so you could show only the domain, only the range, or pieces of both.

By holding down the CTRL-key and single-clicking in the domain you can mark an individual point and see its image in the range. In the above example, three points and their images have been selected. You can also zoom in or out as well as pan (shift) easily to adjust the viewable area (see Zooming and Panning).

> Tip: to select a point in the domain with higher accuracy, first zoom in, then CTRL-click, then zoom out again.

You can map horizontal lines, vertical lines, radii, or arcs, depending on the checkboxes selected in the toolbar, and you can set specific options for these curves using the various options buttons (see The Toolbar for details).

You can specify the size of the viewable domain and range (i.e. the minimal and maximal values for the real and imaginary parts) by either zooming/panning (see Zooming and Panning) or by setting window options directly (see Global Options).

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