Non 0-dimensional system

Although the solving procedures of `ALIAS` are
mostly devoted to be used for 0 dimensional system
(i.e. systems having a finite number of solutions) most of them can
still be used for non 0-dimensional system.
Specific procedures for systems of dimension 1 are described in
chapter 7. For larger dimension systems the solving
procedures of ALIAS-Maple will provide
an approximation
of the result as a set of input intervals that are written
in a file. To deal with non-0 dimensional system
it is necessary to set the flag ``ALIAS/ND`` to 1
and to set the name of the file
in the variable ``ALIAS/ND_file`` (its default value is
`.resultND`.

The total volume of the boxes written in the file may be obtained
through the variable ``ALIAS/VolumeIn``. During the process we
call *neglected boxes* the boxes that cannot be eliminated as not
containing solutions of the problem but can neither be discarded as
part of the boxes may contain a solution. A box will be neglected if
its width is lower than ``ALIAS/epsilon``. The total volume of the
neglected boxes may be obtained through the variable
``ALIAS/VolumeNeglected``.

The result (or cross-sections of it if the problem has more than 3
variables) may be visualized using the `DrawND` procedure
described in section 9.10.