hese decalarations are found in "<tt>.h</tt>" files with
corresponding names.
These header files simply provide typedefs for the
corresponding template types, mainly for
backward compatibility,
e.g.,
<tt>vec_double</tt> is a typedef for
<tt>Vec&lt;double&gt;</tt>,
and <tt>vec_vec_RR</tt> is a typedef for
<tt>Vec&lt; Vec&lt;RR&gt; &gt;</tt>.
No additional functionality is provided.

<p>
All of the header files for polynomial classes <tt>ZZ_pX</tt>,
<tt>ZZX</tt>, etc., declare typedefs for the corresponding
v