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tutorial_output.html
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<HTML>
<HEAD>
<TITLE>4ti2 -- Computation of Hilbert bases, Graver bases, toric Gröbner bases, and more</TITLE>
</HEAD>
<BODY background="back.jpg"
bgcolor = "#EEEEFF"
TEXT=FFCC00
LINK=FFFFF
VLINK=#FFFCC
ALINK=#000066>
<center>
<table border=0 width=90% cellspacing=5 cellpadding=5>
<tr>
<th>
<font size=6 color=red>4ti2 tutorial</font>
</th>
</tr>
</table>
<table border=5 width=90% cellspacing=5 cellpadding=5>
<tr>
<th width=33%>
<a href="tutorial_input.html">Input</a>
</th>
<th width=34%>
<a href="tutorial_auxiliary.html">Auxiliary functions</a>
</th>
<th width=33%>
<font color=red>Output management</font>
</th>
</tr>
</table>
<table border=5 width=90% cellspacing=5 cellpadding=5>
<tr>
<th width=20%>
<a href="tutorial_hilbert.html">Hilbert bases</a>
</th>
<th width=20%>
<a href="tutorial_graver.html">Graver bases</a>
</th>
<th width=20%>
<a href="tutorial_groebner.html">Gröbner bases</a>
</th>
<th width=20%>
<a href="tutorial_markov.html">Markov bases</a>
</th>
<th width=20%>
<a href="tutorial_minimize.html">Minimization</a>
</th>
</tr>
</table>
<table border=5 width=90% cellspacing=5 cellpadding=5>
<tr>
<th>
'hilbert', 'graver', 'groebner', and 'markov' produce output files
that contain a list of vectors in input format.<br><br>
To change that list to a format that suits you better,<br>
or to extract certain subsets of vectors,<br>
or to extract more information about vectors,<br>
use the function 'output'.<br>
</th>
</tr>
</table>
<table border=5 width=90% cellspacing=5 cellpadding=5>
<tr>
<th align=left width=70%>
List of vectors in Maple format
</th>
<th align=left width=30%>
./output map fileName<br>
</th>
</tr>
<tr>
<th align=left width=70%>
List of binomials in variables x[1],...,x[n]
</th>
<th align=left width=30%>
./output bin fileName<br>
</th>
</tr>
<tr>
<th align=left width=70%>
List of extreme rays (from non-truncated Hilbert bases)
</th>
<th align=left width=30%>
./output ray fileName<br>
</th>
</tr>
<tr>
<th align=left width=70%>
List of 0-1 vectors
</th>
<th align=left width=30%>
./output 0-1 fileName<br>
</th>
</tr>
<tr>
<th align=left width=70%>
List of vectors as 3-way tables of sizes (x,y,z), (Hint: Use z = 1 for 2-way tables)
</th>
<th align=left width=30%>
./output 3way x y z fileName<br>
</th>
</tr>
<tr>
<th align=left width=70%>
Transpose of matrix (list of vectors)
</th>
<th align=left width=30%>
./output tra fileName<br>
</th>
</tr>
<tr>
<th align=left width=70%>
L1-norms of vectors (Hint: Vectors with max norm will be printed to screen!)
</th>
<th align=left width=30%>
./output deg fileName<br>
</th>
</tr>
<tr>
<th align=left width=70%>
Extracts lex-max representative under given symmetry (needs file fileName.sym!)
</th>
<th align=left width=30%>
./output sym fileName<br>
</th>
</tr>
<tr>
<th align=left width=70%>
List of positive parts
</th>
<th align=left width=30%>
./output pos fileName<br>
</th>
</tr>
</table>
<table border=0 width=90% cellspacing=5 cellpadding=5>
<tr>
<th align=right>
<a href="http://www.4ti2.de">back to www.4ti2.de</a>
</th>
</tr>
</table>
</center>
</BODY>