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| <command>
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| <title>BBSGen.NonStand</title>
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| <short_description> Finds the non-standard indeterminates of the ring <tt>K[c_{ij}]</tt> with respect to the arrow grading. </short_description>
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|
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| <syntax>
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| BBSGen.NonStand(OO:LIST,BO:LIST,N:INT,W:MATRIX):LIST
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| </syntax>
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| <description>
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| <itemize>
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| <item>@param <em>OO</em> A list of terms representing an order ideal.</item>
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| <item>@param <em>BO</em> A list of terms representing the border.</item>
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| <item>@param <em>N</em> The number of elements of the Polynomial ring <tt>K[x_1,...x_n]</tt>.</item>
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| <item>@param <em>W</em> The weight matrix.</item>
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| <item>@return A list of non-standard indeterminates from <tt>BBS=K[c_{ij}]</tt> with their degree vectors from field <tt>K</tt>.</item>
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| </itemize>
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| <example>
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|
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| Use R::=QQ[x[1..2]];
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|
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| OO:=BB.Box([1,1]);
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| BO:=BB.Border(OO);
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| Mu:=Len(OO);
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| Nu:=Len(BO);
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| W:=Wmat(OO,BO,N);
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| Use XX::=QQ[c[1..Mu,1..Nu],t[1..N,1..N,1..Mu,1..Mu]];
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| BBSGen.NonStand(OO,BO,N,W);
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| [[c[1,3], [R :: 1, R :: 2]],
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| [c[1,4], [R :: 2, R :: 1]],
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| [c[2,3], [R :: 1, R :: 1]],
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| [c[3,4], [R :: 1, R :: 1]]]
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| -------------------------------
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|
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| </example>
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| </description>
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| <types>
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| <type>bbsmingensys</type>
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| </types>
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| <see>BBSGen.Wmat</see>
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| <key>Wmat</key>
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| <key>BBSGen.NonStand</key>
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| <key>bbsmingensys.NonStand</key>
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| <wiki-category>Package_bbsmingensys</wiki-category>
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| </command>
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