[1] | 1 | <!--Converted with LaTeX2HTML 97.1 (release) (July 13th, 1997)
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| 2 | by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds
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| 3 | * revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
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| 4 | * with significant contributions from:
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| 5 | Jens Lippman, Marek Rouchal, Martin Wilck and others -->
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| 6 | <HTML>
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| 7 | <HEAD>
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| 8 | <TITLE>Other packages</TITLE>
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| 21 | <!--Navigation Panel-->
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| 33 | <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents_motif.gif"></A>
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| 34 | <BR>
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| 35 | <B> Next:</B> <A NAME="tex2html1095"
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| 36 | HREF="node13.html">All examples produced by</A>
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| 37 | <B> Up:</B> <A NAME="tex2html1092"
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| 38 | HREF="manual.html">CGBLisp User Guide and</A>
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| 39 | <B> Previous:</B> <A NAME="tex2html1086"
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| 40 | HREF="node11.html">The Parser Package</A>
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| 41 | <BR>
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| 42 | <BR>
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| 43 | <!--End of Navigation Panel-->
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| 44 | <!--Table of Child-Links-->
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| 45 | <A NAME="CHILD_LINKS"><strong>Subsections</strong></A>
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| 46 | <UL>
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| 47 | <LI><A NAME="tex2html1096"
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| 48 | HREF="node12.html#SECTION000120010000000000000">
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| 49 | <I>makelist<MATH CLASS="INLINE">
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| 50 | -
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| 51 | </MATH>1</I></A>
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| 52 | <LI><A NAME="tex2html1097"
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| 53 | HREF="node12.html#SECTION000120020000000000000">
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| 54 | <I>makelist</I></A>
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| 55 | <LI><A NAME="tex2html1098"
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| 56 | HREF="node12.html#SECTION000120030000000000000">
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| 57 | <I>sum</I></A>
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| 58 | <LI><A NAME="tex2html1099"
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| 59 | HREF="node12.html#SECTION000120040000000000000">
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| 60 | <I>list<MATH CLASS="INLINE">
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| 61 | -
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| 62 | </MATH>of</I></A>
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| 63 | <LI><A NAME="tex2html1100"
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| 64 | HREF="node12.html#SECTION000120050000000000000">
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| 65 | <I>list<MATH CLASS="INLINE">
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| 66 | -
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| 67 | </MATH>of<MATH CLASS="INLINE">
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| 68 | -
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| 69 | </MATH>1</I></A>
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| 70 | <LI><A NAME="tex2html1101"
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| 71 | HREF="node12.html#SECTION000120060000000000000">
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| 72 | <I>union<MATH CLASS="INLINE">
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| 73 | -
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| 74 | </MATH>of</I></A>
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| 75 | <LI><A NAME="tex2html1102"
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| 76 | HREF="node12.html#SECTION000120070000000000000">
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| 77 | <I>union<MATH CLASS="INLINE">
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| 78 | -
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| 79 | </MATH>of<MATH CLASS="INLINE">
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| 80 | -
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| 81 | </MATH>1</I></A>
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| 82 | <LI><A NAME="tex2html1103"
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| 83 | HREF="node12.html#SECTION000120080000000000000">
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| 84 | <I>set<MATH CLASS="INLINE">
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| 85 | -
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| 86 | </MATH>of</I></A>
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| 87 | <LI><A NAME="tex2html1104"
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| 88 | HREF="node12.html#SECTION000120090000000000000">
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| 89 | <I>set<MATH CLASS="INLINE">
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| 90 | -
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| 91 | </MATH>of<MATH CLASS="INLINE">
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| 92 | -
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| 93 | </MATH>1</I></A>
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| 94 | <LI><A NAME="tex2html1105"
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| 95 | HREF="node12.html#SECTION0001200100000000000000">
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| 96 | <I>select</I></A>
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| 97 | <LI><A NAME="tex2html1106"
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| 98 | HREF="node12.html#SECTION0001200110000000000000">
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| 99 | <I>monom/</I></A>
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| 100 | <LI><A NAME="tex2html1107"
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| 101 | HREF="node12.html#SECTION0001200120000000000000">
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| 102 | <I>monom*</I></A>
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| 103 | <LI><A NAME="tex2html1108"
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| 104 | HREF="node12.html#SECTION0001200130000000000000">
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| 105 | <I>nmonom*</I></A>
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| 106 | <LI><A NAME="tex2html1109"
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| 107 | HREF="node12.html#SECTION0001200140000000000000">
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| 108 | <I>monom<MATH CLASS="INLINE">
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| 109 | -
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| 110 | </MATH>divides<MATH CLASS="INLINE">
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| 111 | -
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| 112 | </MATH>p</I></A>
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| 113 | <LI><A NAME="tex2html1110"
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| 114 | HREF="node12.html#SECTION0001200150000000000000">
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| 115 | <I>monom<MATH CLASS="INLINE">
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| 116 | -
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| 117 | </MATH>divisible<MATH CLASS="INLINE">
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| 118 | -
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| 119 | </MATH>by<MATH CLASS="INLINE">
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| 120 | -
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| 121 | </MATH>p</I></A>
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| 122 | <LI><A NAME="tex2html1111"
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| 123 | HREF="node12.html#SECTION0001200160000000000000">
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| 124 | <I>monom<MATH CLASS="INLINE">
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| 125 | -
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| 126 | </MATH>rel<MATH CLASS="INLINE">
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| 127 | -
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| 128 | </MATH>prime</I></A>
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| 129 | <LI><A NAME="tex2html1112"
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| 130 | HREF="node12.html#SECTION0001200170000000000000">
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| 131 | <I>monom<MATH CLASS="INLINE">
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| 132 | -
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| 133 | </MATH>equal</I></A>
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| 134 | <LI><A NAME="tex2html1113"
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| 135 | HREF="node12.html#SECTION0001200180000000000000">
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| 136 | <I>monom<MATH CLASS="INLINE">
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| 137 | -
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| 138 | </MATH>lcm</I></A>
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| 139 | <LI><A NAME="tex2html1114"
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| 140 | HREF="node12.html#SECTION0001200190000000000000">
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| 141 | <I>monom<MATH CLASS="INLINE">
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| 142 | -
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| 143 | </MATH>gcd</I></A>
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| 144 | <LI><A NAME="tex2html1115"
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| 145 | HREF="node12.html#SECTION0001200200000000000000">
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| 146 | <I>poly<MATH CLASS="INLINE">
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| 147 | -
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| 148 | </MATH>gcd</I></A>
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| 149 | <LI><A NAME="tex2html1116"
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| 150 | HREF="node12.html#SECTION0001200210000000000000">
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| 151 | <I>poly<MATH CLASS="INLINE">
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| 152 | -
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| 153 | </MATH>pseudo<MATH CLASS="INLINE">
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| 154 | -
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| 155 | </MATH>divide</I></A>
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| 156 | <LI><A NAME="tex2html1117"
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| 157 | HREF="node12.html#SECTION0001200220000000000000">
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| 158 | <I>poly<MATH CLASS="INLINE">
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| 159 | -
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| 160 | </MATH>pseudo<MATH CLASS="INLINE">
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| 161 | -
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| 162 | </MATH>remainder</I></A>
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| 163 | <LI><A NAME="tex2html1118"
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| 164 | HREF="node12.html#SECTION0001200230000000000000">
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| 165 | <I>mdeg</I></A>
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| 166 | <LI><A NAME="tex2html1119"
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| 167 | HREF="node12.html#SECTION0001200240000000000000">
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| 168 | <I>lcoeff</I></A>
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| 169 | <LI><A NAME="tex2html1120"
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| 170 | HREF="node12.html#SECTION0001200250000000000000">
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| 171 | <I>lrest</I></A>
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| 172 | <LI><A NAME="tex2html1121"
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| 173 | HREF="node12.html#SECTION0001200260000000000000">
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| 174 | <I>lpart</I></A>
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| 175 | <LI><A NAME="tex2html1122"
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| 176 | HREF="node12.html#SECTION0001200270000000000000">
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| 177 | <I>poly<MATH CLASS="INLINE">
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| 178 | -
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| 179 | </MATH>primitive<MATH CLASS="INLINE">
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| 180 | -
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| 181 | </MATH>part</I></A>
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| 182 | <LI><A NAME="tex2html1123"
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| 183 | HREF="node12.html#SECTION0001200280000000000000">
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| 184 | <I>poly<MATH CLASS="INLINE">
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| 185 | -
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| 186 | </MATH>content</I></A>
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| 187 | <LI><A NAME="tex2html1124"
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| 188 | HREF="node12.html#SECTION0001200290000000000000">
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| 189 | <I>poly<MATH CLASS="INLINE">
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| 190 | -
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| 191 | </MATH>with<MATH CLASS="INLINE">
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| 192 | -
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| 193 | </MATH>sugar<MATH CLASS="INLINE">
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| 194 | -
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| 195 | </MATH>poly</I></A>
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| 196 | <LI><A NAME="tex2html1125"
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| 197 | HREF="node12.html#SECTION0001200300000000000000">
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| 198 | <I>poly<MATH CLASS="INLINE">
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| 199 | -
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| 200 | </MATH>with<MATH CLASS="INLINE">
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| 201 | -
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| 202 | </MATH>sugar<MATH CLASS="INLINE">
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| 203 | -
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| 204 | </MATH>sugar</I></A>
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| 205 | <LI><A NAME="tex2html1126"
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| 206 | HREF="node12.html#SECTION0001200310000000000000">
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| 207 | <I>poly<MATH CLASS="INLINE">
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| 208 | -
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| 209 | </MATH>with<MATH CLASS="INLINE">
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| 210 | -
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| 211 | </MATH>sugar<MATH CLASS="INLINE">
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| 212 | -
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| 213 | </MATH>tail</I></A>
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| 214 | <LI><A NAME="tex2html1127"
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| 215 | HREF="node12.html#SECTION0001200320000000000000">
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| 216 | <I>(setf poly<MATH CLASS="INLINE">
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| 217 | -
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| 218 | </MATH>with<MATH CLASS="INLINE">
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| 219 | -
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| 220 | </MATH>sugar<MATH CLASS="INLINE">
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| 221 | -
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| 222 | </MATH>poly)</I></A>
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| 223 | <LI><A NAME="tex2html1128"
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| 224 | HREF="node12.html#SECTION0001200330000000000000">
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| 225 | <I>(setf poly<MATH CLASS="INLINE">
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| 226 | -
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| 227 | </MATH>with<MATH CLASS="INLINE">
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| 228 | -
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| 229 | </MATH>sugar<MATH CLASS="INLINE">
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| 230 | -
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| 231 | </MATH>sugar)</I></A>
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| 232 | <LI><A NAME="tex2html1129"
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| 233 | HREF="node12.html#SECTION0001200340000000000000">
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| 234 | <I>(setf poly<MATH CLASS="INLINE">
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| 235 | -
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| 236 | </MATH>with<MATH CLASS="INLINE">
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| 237 | -
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| 238 | </MATH>sugar<MATH CLASS="INLINE">
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| 239 | -
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| 240 | </MATH>tail)</I></A>
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| 241 | <LI><A NAME="tex2html1130"
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| 242 | HREF="node12.html#SECTION0001200350000000000000">
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| 243 | <I>monom<MATH CLASS="INLINE">
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| 244 | -
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| 245 | </MATH>sugar</I></A>
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| 246 | <LI><A NAME="tex2html1131"
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| 247 | HREF="node12.html#SECTION0001200360000000000000">
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| 248 | <I>coefficient<MATH CLASS="INLINE">
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| 249 | -
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| 250 | </MATH>sugar</I></A>
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| 251 | <LI><A NAME="tex2html1132"
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| 252 | HREF="node12.html#SECTION0001200370000000000000">
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| 253 | <I>term<MATH CLASS="INLINE">
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| 254 | -
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| 255 | </MATH>sugar</I></A>
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| 256 | <LI><A NAME="tex2html1133"
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| 257 | HREF="node12.html#SECTION0001200380000000000000">
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| 258 | <I>poly<MATH CLASS="INLINE">
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| 259 | -
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| 260 | </MATH>add<MATH CLASS="INLINE">
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| 261 | -
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| 262 | </MATH>sugar</I></A>
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| 263 | <LI><A NAME="tex2html1134"
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| 264 | HREF="node12.html#SECTION0001200390000000000000">
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| 265 | <I>scalar<MATH CLASS="INLINE">
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| 266 | -
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| 267 | </MATH>times<MATH CLASS="INLINE">
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| 268 | -
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| 269 | </MATH>poly<MATH CLASS="INLINE">
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| 270 | -
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| 271 | </MATH>with<MATH CLASS="INLINE">
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| 272 | -
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| 273 | </MATH>sugar</I></A>
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| 274 | <LI><A NAME="tex2html1135"
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| 275 | HREF="node12.html#SECTION0001200400000000000000">
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| 276 | <I>term<MATH CLASS="INLINE">
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| 277 | -
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| 278 | </MATH>times<MATH CLASS="INLINE">
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| 279 | -
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| 280 | </MATH>poly<MATH CLASS="INLINE">
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| 281 | -
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| 282 | </MATH>with<MATH CLASS="INLINE">
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| 283 | -
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| 284 | </MATH>sugar</I></A>
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| 285 | <LI><A NAME="tex2html1136"
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| 286 | HREF="node12.html#SECTION0001200410000000000000">
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| 287 | <I>monom<MATH CLASS="INLINE">
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| 288 | -
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| 289 | </MATH>times<MATH CLASS="INLINE">
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| 290 | -
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| 291 | </MATH>poly<MATH CLASS="INLINE">
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| 292 | -
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| 293 | </MATH>with<MATH CLASS="INLINE">
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| 294 | -
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| 295 | </MATH>sugar</I></A>
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| 296 | <LI><A NAME="tex2html1137"
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| 297 | HREF="node12.html#SECTION0001200420000000000000">
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| 298 | <I>minus<MATH CLASS="INLINE">
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| 299 | -
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| 300 | </MATH>poly<MATH CLASS="INLINE">
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| 301 | -
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| 302 | </MATH>with<MATH CLASS="INLINE">
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| 303 | -
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| 304 | </MATH>sugar</I></A>
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| 305 | <LI><A NAME="tex2html1138"
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| 306 | HREF="node12.html#SECTION0001200430000000000000">
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| 307 | <I>poly<MATH CLASS="INLINE">
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| 308 | -
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| 309 | </MATH>with<MATH CLASS="INLINE">
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| 310 | -
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| 311 | </MATH>sugar+</I></A>
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| 312 | <LI><A NAME="tex2html1139"
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| 313 | HREF="node12.html#SECTION0001200440000000000000">
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| 314 | <I>poly<MATH CLASS="INLINE">
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| 315 | -
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| 316 | </MATH>with<MATH CLASS="INLINE">
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| 317 | -
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| 318 | </MATH>sugar<MATH CLASS="INLINE">
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| 319 | -
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| 320 | </MATH></I></A>
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| 321 | <LI><A NAME="tex2html1140"
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| 322 | HREF="node12.html#SECTION0001200450000000000000">
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| 323 | <I>poly<MATH CLASS="INLINE">
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| 324 | -
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| 325 | </MATH>with<MATH CLASS="INLINE">
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| 326 | -
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| 327 | </MATH>sugar<MATH CLASS="INLINE">
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| 328 | -
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| 329 | </MATH>op</I></A>
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| 330 | <LI><A NAME="tex2html1141"
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| 331 | HREF="node12.html#SECTION0001200460000000000000">
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| 332 | <I>poly<MATH CLASS="INLINE">
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| 333 | -
|
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| 334 | </MATH>with<MATH CLASS="INLINE">
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| 335 | -
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| 336 | </MATH>sugar<MATH CLASS="INLINE">
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| 337 | -
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| 338 | </MATH>nreverse</I></A>
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| 339 | <LI><A NAME="tex2html1142"
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| 340 | HREF="node12.html#SECTION0001200470000000000000">
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| 341 | <I>poly<MATH CLASS="INLINE">
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| 342 | -
|
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| 343 | </MATH>with<MATH CLASS="INLINE">
|
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| 344 | -
|
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| 345 | </MATH>sugar<MATH CLASS="INLINE">
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| 346 | -
|
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| 347 | </MATH>append</I></A>
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| 348 | <LI><A NAME="tex2html1143"
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| 349 | HREF="node12.html#SECTION0001200480000000000000">
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| 350 | <I>poly<MATH CLASS="INLINE">
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| 351 | -
|
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| 352 | </MATH>with<MATH CLASS="INLINE">
|
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| 353 | -
|
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| 354 | </MATH>sugar<MATH CLASS="INLINE">
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| 355 | -
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| 356 | </MATH>zerop</I></A>
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| 357 | <LI><A NAME="tex2html1144"
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| 358 | HREF="node12.html#SECTION0001200490000000000000">
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| 359 | <I>poly<MATH CLASS="INLINE">
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| 360 | -
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| 361 | </MATH>with<MATH CLASS="INLINE">
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| 362 | -
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| 363 | </MATH>sugar<MATH CLASS="INLINE">
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| 364 | -
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| 365 | </MATH>lm</I></A>
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| 366 | <LI><A NAME="tex2html1145"
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| 367 | HREF="node12.html#SECTION0001200500000000000000">
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| 368 | <I>poly<MATH CLASS="INLINE">
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| 369 | -
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| 370 | </MATH>with<MATH CLASS="INLINE">
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| 371 | -
|
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| 372 | </MATH>sugar<MATH CLASS="INLINE">
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| 373 | -
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| 374 | </MATH>lc</I></A>
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| 375 | <LI><A NAME="tex2html1146"
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| 376 | HREF="node12.html#SECTION0001200510000000000000">
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| 377 | <I>poly<MATH CLASS="INLINE">
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| 378 | -
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| 379 | </MATH>with<MATH CLASS="INLINE">
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| 380 | -
|
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| 381 | </MATH>sugar<MATH CLASS="INLINE">
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| 382 | -
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| 383 | </MATH>lt</I></A>
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| 384 | <LI><A NAME="tex2html1147"
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| 385 | HREF="node12.html#SECTION0001200520000000000000">
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| 386 | <I>poly<MATH CLASS="INLINE">
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| 387 | -
|
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| 388 | </MATH>print</I></A>
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| 389 | <LI><A NAME="tex2html1148"
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| 390 | HREF="node12.html#SECTION0001200530000000000000">
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| 391 | <I>poly<MATH CLASS="INLINE">
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| 392 | -
|
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| 393 | </MATH>print<MATH CLASS="INLINE">
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| 394 | -
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| 395 | </MATH>1</I></A>
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| 396 | <LI><A NAME="tex2html1149"
|
---|
| 397 | HREF="node12.html#SECTION0001200540000000000000">
|
---|
| 398 | <I>poly<MATH CLASS="INLINE">
|
---|
| 399 | -
|
---|
| 400 | </MATH>print<MATH CLASS="INLINE">
|
---|
| 401 | -
|
---|
| 402 | </MATH>2</I></A>
|
---|
| 403 | <LI><A NAME="tex2html1150"
|
---|
| 404 | HREF="node12.html#SECTION0001200550000000000000">
|
---|
| 405 | <I>print<MATH CLASS="INLINE">
|
---|
| 406 | -
|
---|
| 407 | </MATH>term</I></A>
|
---|
| 408 | <LI><A NAME="tex2html1151"
|
---|
| 409 | HREF="node12.html#SECTION0001200560000000000000">
|
---|
| 410 | <I>print<MATH CLASS="INLINE">
|
---|
| 411 | -
|
---|
| 412 | </MATH>monom</I></A>
|
---|
| 413 | <LI><A NAME="tex2html1152"
|
---|
| 414 | HREF="node12.html#SECTION0001200570000000000000">
|
---|
| 415 | <I>num</I></A>
|
---|
| 416 | <LI><A NAME="tex2html1153"
|
---|
| 417 | HREF="node12.html#SECTION0001200580000000000000">
|
---|
| 418 | <I>denom</I></A>
|
---|
| 419 | <LI><A NAME="tex2html1154"
|
---|
| 420 | HREF="node12.html#SECTION0001200590000000000000">
|
---|
| 421 | <I>rat<MATH CLASS="INLINE">
|
---|
| 422 | -
|
---|
| 423 | </MATH>simplify<MATH CLASS="INLINE">
|
---|
| 424 | -
|
---|
| 425 | </MATH>2</I></A>
|
---|
| 426 | <LI><A NAME="tex2html1155"
|
---|
| 427 | HREF="node12.html#SECTION0001200600000000000000">
|
---|
| 428 | <I>rat<MATH CLASS="INLINE">
|
---|
| 429 | -
|
---|
| 430 | </MATH>simplify</I></A>
|
---|
| 431 | <LI><A NAME="tex2html1156"
|
---|
| 432 | HREF="node12.html#SECTION0001200610000000000000">
|
---|
| 433 | <I>rat+</I></A>
|
---|
| 434 | <LI><A NAME="tex2html1157"
|
---|
| 435 | HREF="node12.html#SECTION0001200620000000000000">
|
---|
| 436 | <I>rat<MATH CLASS="INLINE">
|
---|
| 437 | -
|
---|
| 438 | </MATH></I></A>
|
---|
| 439 | <LI><A NAME="tex2html1158"
|
---|
| 440 | HREF="node12.html#SECTION0001200630000000000000">
|
---|
| 441 | <I>rat*</I></A>
|
---|
| 442 | <LI><A NAME="tex2html1159"
|
---|
| 443 | HREF="node12.html#SECTION0001200640000000000000">
|
---|
| 444 | <I>rat/</I></A>
|
---|
| 445 | <LI><A NAME="tex2html1160"
|
---|
| 446 | HREF="node12.html#SECTION0001200650000000000000">
|
---|
| 447 | <I>scalar<MATH CLASS="INLINE">
|
---|
| 448 | -
|
---|
| 449 | </MATH>times<MATH CLASS="INLINE">
|
---|
| 450 | -
|
---|
| 451 | </MATH>rat</I></A>
|
---|
| 452 | <LI><A NAME="tex2html1161"
|
---|
| 453 | HREF="node12.html#SECTION0001200660000000000000">
|
---|
| 454 | <I>scalar<MATH CLASS="INLINE">
|
---|
| 455 | -
|
---|
| 456 | </MATH>div<MATH CLASS="INLINE">
|
---|
| 457 | -
|
---|
| 458 | </MATH>rat</I></A>
|
---|
| 459 | <LI><A NAME="tex2html1162"
|
---|
| 460 | HREF="node12.html#SECTION0001200670000000000000">
|
---|
| 461 | <I>rat<MATH CLASS="INLINE">
|
---|
| 462 | -
|
---|
| 463 | </MATH>zerop</I></A>
|
---|
| 464 | <LI><A NAME="tex2html1163"
|
---|
| 465 | HREF="node12.html#SECTION0001200680000000000000">
|
---|
| 466 | <I>rat<MATH CLASS="INLINE">
|
---|
| 467 | -
|
---|
| 468 | </MATH>uminus</I></A>
|
---|
| 469 | <LI><A NAME="tex2html1164"
|
---|
| 470 | HREF="node12.html#SECTION0001200690000000000000">
|
---|
| 471 | <I>rat<MATH CLASS="INLINE">
|
---|
| 472 | -
|
---|
| 473 | </MATH>expt</I></A>
|
---|
| 474 | <LI><A NAME="tex2html1165"
|
---|
| 475 | HREF="node12.html#SECTION0001200700000000000000">
|
---|
| 476 | <I>rat<MATH CLASS="INLINE">
|
---|
| 477 | -
|
---|
| 478 | </MATH>constant</I></A>
|
---|
| 479 | <LI><A NAME="tex2html1166"
|
---|
| 480 | HREF="node12.html#SECTION0001200710000000000000">
|
---|
| 481 | <I>rat<MATH CLASS="INLINE">
|
---|
| 482 | -
|
---|
| 483 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 484 | -
|
---|
| 485 | </MATH>poly</I></A>
|
---|
| 486 | <LI><A NAME="tex2html1167"
|
---|
| 487 | HREF="node12.html#SECTION0001200720000000000000">
|
---|
| 488 | <I>ratpoly+</I></A>
|
---|
| 489 | <LI><A NAME="tex2html1168"
|
---|
| 490 | HREF="node12.html#SECTION0001200730000000000000">
|
---|
| 491 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 492 | -
|
---|
| 493 | </MATH></I></A>
|
---|
| 494 | <LI><A NAME="tex2html1169"
|
---|
| 495 | HREF="node12.html#SECTION0001200740000000000000">
|
---|
| 496 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 497 | -
|
---|
| 498 | </MATH>uminus</I></A>
|
---|
| 499 | <LI><A NAME="tex2html1170"
|
---|
| 500 | HREF="node12.html#SECTION0001200750000000000000">
|
---|
| 501 | <I>ratpoly*</I></A>
|
---|
| 502 | <LI><A NAME="tex2html1171"
|
---|
| 503 | HREF="node12.html#SECTION0001200760000000000000">
|
---|
| 504 | <I>scalar<MATH CLASS="INLINE">
|
---|
| 505 | -
|
---|
| 506 | </MATH>times<MATH CLASS="INLINE">
|
---|
| 507 | -
|
---|
| 508 | </MATH>ratpoly</I></A>
|
---|
| 509 | <LI><A NAME="tex2html1172"
|
---|
| 510 | HREF="node12.html#SECTION0001200770000000000000">
|
---|
| 511 | <I>rat<MATH CLASS="INLINE">
|
---|
| 512 | -
|
---|
| 513 | </MATH>times<MATH CLASS="INLINE">
|
---|
| 514 | -
|
---|
| 515 | </MATH>ratpoly</I></A>
|
---|
| 516 | <LI><A NAME="tex2html1173"
|
---|
| 517 | HREF="node12.html#SECTION0001200780000000000000">
|
---|
| 518 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 519 | -
|
---|
| 520 | </MATH>divide</I></A>
|
---|
| 521 | <LI><A NAME="tex2html1174"
|
---|
| 522 | HREF="node12.html#SECTION0001200790000000000000">
|
---|
| 523 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 524 | -
|
---|
| 525 | </MATH>remainder</I></A>
|
---|
| 526 | <LI><A NAME="tex2html1175"
|
---|
| 527 | HREF="node12.html#SECTION0001200800000000000000">
|
---|
| 528 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 529 | -
|
---|
| 530 | </MATH>gcd</I></A>
|
---|
| 531 | <LI><A NAME="tex2html1176"
|
---|
| 532 | HREF="node12.html#SECTION0001200810000000000000">
|
---|
| 533 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 534 | -
|
---|
| 535 | </MATH>diff</I></A>
|
---|
| 536 | <LI><A NAME="tex2html1177"
|
---|
| 537 | HREF="node12.html#SECTION0001200820000000000000">
|
---|
| 538 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 539 | -
|
---|
| 540 | </MATH>square<MATH CLASS="INLINE">
|
---|
| 541 | -
|
---|
| 542 | </MATH>free</I></A>
|
---|
| 543 | <LI><A NAME="tex2html1178"
|
---|
| 544 | HREF="node12.html#SECTION0001200830000000000000">
|
---|
| 545 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 546 | -
|
---|
| 547 | </MATH>normalize</I></A>
|
---|
| 548 | <LI><A NAME="tex2html1179"
|
---|
| 549 | HREF="node12.html#SECTION0001200840000000000000">
|
---|
| 550 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 551 | -
|
---|
| 552 | </MATH>resultant</I></A>
|
---|
| 553 | <LI><A NAME="tex2html1180"
|
---|
| 554 | HREF="node12.html#SECTION0001200850000000000000">
|
---|
| 555 | <I>deg</I></A>
|
---|
| 556 | <LI><A NAME="tex2html1181"
|
---|
| 557 | HREF="node12.html#SECTION0001200860000000000000">
|
---|
| 558 | <I>lead</I></A>
|
---|
| 559 | <LI><A NAME="tex2html1182"
|
---|
| 560 | HREF="node12.html#SECTION0001200870000000000000">
|
---|
| 561 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 562 | -
|
---|
| 563 | </MATH>discriminant</I></A>
|
---|
| 564 | <LI><A NAME="tex2html1183"
|
---|
| 565 | HREF="node12.html#SECTION0001200880000000000000">
|
---|
| 566 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 567 | -
|
---|
| 568 | </MATH>print</I></A>
|
---|
| 569 | <LI><A NAME="tex2html1184"
|
---|
| 570 | HREF="node12.html#SECTION0001200890000000000000">
|
---|
| 571 | <I>poly<MATH CLASS="INLINE">
|
---|
| 572 | -
|
---|
| 573 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 574 | -
|
---|
| 575 | </MATH>ratpoly</I></A>
|
---|
| 576 | <LI><A NAME="tex2html1185"
|
---|
| 577 | HREF="node12.html#SECTION0001200900000000000000">
|
---|
| 578 | <I>poly<MATH CLASS="INLINE">
|
---|
| 579 | -
|
---|
| 580 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 581 | -
|
---|
| 582 | </MATH>poly1</I></A>
|
---|
| 583 | <LI><A NAME="tex2html1186"
|
---|
| 584 | HREF="node12.html#SECTION0001200910000000000000">
|
---|
| 585 | <I>poly1<MATH CLASS="INLINE">
|
---|
| 586 | -
|
---|
| 587 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 588 | -
|
---|
| 589 | </MATH>ratpoly</I></A>
|
---|
| 590 | <LI><A NAME="tex2html1187"
|
---|
| 591 | HREF="node12.html#SECTION0001200920000000000000">
|
---|
| 592 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 593 | -
|
---|
| 594 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 595 | -
|
---|
| 596 | </MATH>poly1</I></A>
|
---|
| 597 | <LI><A NAME="tex2html1188"
|
---|
| 598 | HREF="node12.html#SECTION0001200930000000000000">
|
---|
| 599 | <I>poly1<MATH CLASS="INLINE">
|
---|
| 600 | -
|
---|
| 601 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 602 | -
|
---|
| 603 | </MATH>poly</I></A>
|
---|
| 604 | <LI><A NAME="tex2html1189"
|
---|
| 605 | HREF="node12.html#SECTION0001200940000000000000">
|
---|
| 606 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 607 | -
|
---|
| 608 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 609 | -
|
---|
| 610 | </MATH>poly</I></A>
|
---|
| 611 | <LI><A NAME="tex2html1190"
|
---|
| 612 | HREF="node12.html#SECTION0001200950000000000000">
|
---|
| 613 | <I>poly<MATH CLASS="INLINE">
|
---|
| 614 | -
|
---|
| 615 | </MATH>resultant</I></A>
|
---|
| 616 | <LI><A NAME="tex2html1191"
|
---|
| 617 | HREF="node12.html#SECTION0001200960000000000000">
|
---|
| 618 | <I>term*</I></A>
|
---|
| 619 | <LI><A NAME="tex2html1192"
|
---|
| 620 | HREF="node12.html#SECTION0001200970000000000000">
|
---|
| 621 | <I>term/</I></A>
|
---|
| 622 | <LI><A NAME="tex2html1193"
|
---|
| 623 | HREF="node12.html#SECTION0001200980000000000000">
|
---|
| 624 | <I>monom<MATH CLASS="INLINE">
|
---|
| 625 | -
|
---|
| 626 | </MATH>times<MATH CLASS="INLINE">
|
---|
| 627 | -
|
---|
| 628 | </MATH>term</I></A>
|
---|
| 629 | <LI><A NAME="tex2html1194"
|
---|
| 630 | HREF="node12.html#SECTION0001200990000000000000">
|
---|
| 631 | <I>term<MATH CLASS="INLINE">
|
---|
| 632 | -
|
---|
| 633 | </MATH>divides<MATH CLASS="INLINE">
|
---|
| 634 | -
|
---|
| 635 | </MATH>p</I></A>
|
---|
| 636 | <LI><A NAME="tex2html1195"
|
---|
| 637 | HREF="node12.html#SECTION00012001000000000000000">
|
---|
| 638 | <I>term<MATH CLASS="INLINE">
|
---|
| 639 | -
|
---|
| 640 | </MATH>monom</I></A>
|
---|
| 641 | <LI><A NAME="tex2html1196"
|
---|
| 642 | HREF="node12.html#SECTION00012001010000000000000">
|
---|
| 643 | <I>term<MATH CLASS="INLINE">
|
---|
| 644 | -
|
---|
| 645 | </MATH>coefficient</I></A>
|
---|
| 646 | <LI><A NAME="tex2html1197"
|
---|
| 647 | HREF="node12.html#SECTION00012001020000000000000">
|
---|
| 648 | <I>(setf term<MATH CLASS="INLINE">
|
---|
| 649 | -
|
---|
| 650 | </MATH>monom)</I></A>
|
---|
| 651 | <LI><A NAME="tex2html1198"
|
---|
| 652 | HREF="node12.html#SECTION00012001030000000000000">
|
---|
| 653 | <I>(setf term<MATH CLASS="INLINE">
|
---|
| 654 | -
|
---|
| 655 | </MATH>coefficient)</I></A>
|
---|
| 656 | <LI><A NAME="tex2html1199"
|
---|
| 657 | HREF="node12.html#SECTION00012001040000000000000">
|
---|
| 658 | <I>xgcd</I></A>
|
---|
| 659 | </UL>
|
---|
| 660 | <!--End of Table of Child-Links-->
|
---|
| 661 | <HR>
|
---|
| 662 | <H1><A NAME="SECTION000120000000000000000">
|
---|
| 663 | Other packages</A>
|
---|
| 664 | </H1>
|
---|
| 665 | <H4><A NAME="SECTION000120010000000000000">
|
---|
| 666 | <I>makelist<MATH CLASS="INLINE">
|
---|
| 667 | -
|
---|
| 668 | </MATH>1</I></A>
|
---|
| 669 | </H4>
|
---|
| 670 | <P><IMG WIDTH="577" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 671 | SRC="img180.gif"
|
---|
| 672 | ALT="$\textstyle\parbox{\pboxargslen}{\em expr var lo hi {\sf \&optional} (step 1) \/}$"> [<EM>MACRO</EM>]
|
---|
| 673 | <BLOCKQUOTE>
|
---|
| 674 | </BLOCKQUOTE><H4><A NAME="SECTION000120020000000000000">
|
---|
| 675 | <I>makelist</I></A>
|
---|
| 676 | </H4>
|
---|
| 677 | <P><IMG WIDTH="598" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 678 | SRC="img181.gif"
|
---|
| 679 | ALT="$\textstyle\parbox{\pboxargslen}{\em expr (var lo hi {\sf \&optional} (step 1)) {\sf \&rest} more \/}$"> [<EM>MACRO</EM>]
|
---|
| 680 | <BLOCKQUOTE>
|
---|
| 681 | </BLOCKQUOTE><H4><A NAME="SECTION000120030000000000000">
|
---|
| 682 | <I>sum</I></A>
|
---|
| 683 | </H4>
|
---|
| 684 | <P><IMG WIDTH="627" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 685 | SRC="img182.gif"
|
---|
| 686 | ALT="$\textstyle\parbox{\pboxargslen}{\em {\sf \&body} body \/}$"> [<EM>MACRO</EM>]
|
---|
| 687 | <BLOCKQUOTE>
|
---|
| 688 | </BLOCKQUOTE><H4><A NAME="SECTION000120040000000000000">
|
---|
| 689 | <I>list<MATH CLASS="INLINE">
|
---|
| 690 | -
|
---|
| 691 | </MATH>of</I></A>
|
---|
| 692 | </H4>
|
---|
| 693 | <P><IMG WIDTH="608" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 694 | SRC="img183.gif"
|
---|
| 695 | ALT="$\textstyle\parbox{\pboxargslen}{\em expr (var lst) {\sf \&rest} more \/}$"> [<EM>MACRO</EM>]
|
---|
| 696 | <BLOCKQUOTE>
|
---|
| 697 | </BLOCKQUOTE><H4><A NAME="SECTION000120050000000000000">
|
---|
| 698 | <I>list<MATH CLASS="INLINE">
|
---|
| 699 | -
|
---|
| 700 | </MATH>of<MATH CLASS="INLINE">
|
---|
| 701 | -
|
---|
| 702 | </MATH>1</I></A>
|
---|
| 703 | </H4>
|
---|
| 704 | <P><IMG WIDTH="587" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 705 | SRC="img184.gif"
|
---|
| 706 | ALT="$\textstyle\parbox{\pboxargslen}{\em expr var lst \/}$"> [<EM>MACRO</EM>]
|
---|
| 707 | <BLOCKQUOTE>
|
---|
| 708 | </BLOCKQUOTE><H4><A NAME="SECTION000120060000000000000">
|
---|
| 709 | <I>union<MATH CLASS="INLINE">
|
---|
| 710 | -
|
---|
| 711 | </MATH>of</I></A>
|
---|
| 712 | </H4>
|
---|
| 713 | <P><IMG WIDTH="608" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 714 | SRC="img183.gif"
|
---|
| 715 | ALT="$\textstyle\parbox{\pboxargslen}{\em expr (var lst) {\sf \&rest} more \/}$"> [<EM>MACRO</EM>]
|
---|
| 716 | <BLOCKQUOTE>
|
---|
| 717 | </BLOCKQUOTE><H4><A NAME="SECTION000120070000000000000">
|
---|
| 718 | <I>union<MATH CLASS="INLINE">
|
---|
| 719 | -
|
---|
| 720 | </MATH>of<MATH CLASS="INLINE">
|
---|
| 721 | -
|
---|
| 722 | </MATH>1</I></A>
|
---|
| 723 | </H4>
|
---|
| 724 | <P><IMG WIDTH="587" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 725 | SRC="img184.gif"
|
---|
| 726 | ALT="$\textstyle\parbox{\pboxargslen}{\em expr var lst \/}$"> [<EM>MACRO</EM>]
|
---|
| 727 | <BLOCKQUOTE>
|
---|
| 728 | </BLOCKQUOTE><H4><A NAME="SECTION000120080000000000000">
|
---|
| 729 | <I>set<MATH CLASS="INLINE">
|
---|
| 730 | -
|
---|
| 731 | </MATH>of</I></A>
|
---|
| 732 | </H4>
|
---|
| 733 | <P><IMG WIDTH="608" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 734 | SRC="img183.gif"
|
---|
| 735 | ALT="$\textstyle\parbox{\pboxargslen}{\em expr (var lst) {\sf \&rest} more \/}$"> [<EM>MACRO</EM>]
|
---|
| 736 | <BLOCKQUOTE>
|
---|
| 737 | </BLOCKQUOTE><H4><A NAME="SECTION000120090000000000000">
|
---|
| 738 | <I>set<MATH CLASS="INLINE">
|
---|
| 739 | -
|
---|
| 740 | </MATH>of<MATH CLASS="INLINE">
|
---|
| 741 | -
|
---|
| 742 | </MATH>1</I></A>
|
---|
| 743 | </H4>
|
---|
| 744 | <P><IMG WIDTH="587" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 745 | SRC="img184.gif"
|
---|
| 746 | ALT="$\textstyle\parbox{\pboxargslen}{\em expr var lst \/}$"> [<EM>MACRO</EM>]
|
---|
| 747 | <BLOCKQUOTE>
|
---|
| 748 | </BLOCKQUOTE><H4><A NAME="SECTION0001200100000000000000">
|
---|
| 749 | <I>select</I></A>
|
---|
| 750 | </H4>
|
---|
| 751 | <P><IMG WIDTH="573" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 752 | SRC="img185.gif"
|
---|
| 753 | ALT="$\textstyle\parbox{\pboxargslen}{\em ind lst \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 754 | <BLOCKQUOTE>
|
---|
| 755 | </BLOCKQUOTE><H4><A NAME="SECTION0001200110000000000000">
|
---|
| 756 | <I>monom/</I></A>
|
---|
| 757 | </H4>
|
---|
| 758 | <P><IMG WIDTH="552" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 759 | SRC="img186.gif"
|
---|
| 760 | ALT="$\textstyle\parbox{\pboxargslen}{\em m1 m2 \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 761 | <BLOCKQUOTE>
|
---|
| 762 | Divide monomial M1 by monomial M2.</BLOCKQUOTE><H4><A NAME="SECTION0001200120000000000000">
|
---|
| 763 | <I>monom*</I></A>
|
---|
| 764 | </H4>
|
---|
| 765 | <P><IMG WIDTH="552" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 766 | SRC="img186.gif"
|
---|
| 767 | ALT="$\textstyle\parbox{\pboxargslen}{\em m1 m2 \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 768 | <BLOCKQUOTE>
|
---|
| 769 | Multiply monomial M1 by monomial M2.</BLOCKQUOTE><H4><A NAME="SECTION0001200130000000000000">
|
---|
| 770 | <I>nmonom*</I></A>
|
---|
| 771 | </H4>
|
---|
| 772 | <P><IMG WIDTH="552" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 773 | SRC="img186.gif"
|
---|
| 774 | ALT="$\textstyle\parbox{\pboxargslen}{\em m1 m2 \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 775 | <BLOCKQUOTE>
|
---|
| 776 | Multiply monomials M1 and M2 <MATH CLASS="INLINE">
|
---|
| 777 | -
|
---|
| 778 | </MATH> destructive version.
|
---|
| 779 | M1 is destructively modified, M2 is not modified.</BLOCKQUOTE><H4><A NAME="SECTION0001200140000000000000">
|
---|
| 780 | <I>monom<MATH CLASS="INLINE">
|
---|
| 781 | -
|
---|
| 782 | </MATH>divides<MATH CLASS="INLINE">
|
---|
| 783 | -
|
---|
| 784 | </MATH>p</I></A>
|
---|
| 785 | </H4>
|
---|
| 786 | <P><IMG WIDTH="552" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 787 | SRC="img186.gif"
|
---|
| 788 | ALT="$\textstyle\parbox{\pboxargslen}{\em m1 m2 \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 789 | <BLOCKQUOTE>
|
---|
| 790 | Returns T if monomial M1 divides monomial M2, NIL otherwise.</BLOCKQUOTE><H4><A NAME="SECTION0001200150000000000000">
|
---|
| 791 | <I>monom<MATH CLASS="INLINE">
|
---|
| 792 | -
|
---|
| 793 | </MATH>divisible<MATH CLASS="INLINE">
|
---|
| 794 | -
|
---|
| 795 | </MATH>by<MATH CLASS="INLINE">
|
---|
| 796 | -
|
---|
| 797 | </MATH>p</I></A>
|
---|
| 798 | </H4>
|
---|
| 799 | <P><IMG WIDTH="552" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 800 | SRC="img186.gif"
|
---|
| 801 | ALT="$\textstyle\parbox{\pboxargslen}{\em m1 m2 \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 802 | <BLOCKQUOTE>
|
---|
| 803 | Returns T if monomial M1 is divisible by monomial M2, NIL otherwise.</BLOCKQUOTE><H4><A NAME="SECTION0001200160000000000000">
|
---|
| 804 | <I>monom<MATH CLASS="INLINE">
|
---|
| 805 | -
|
---|
| 806 | </MATH>rel<MATH CLASS="INLINE">
|
---|
| 807 | -
|
---|
| 808 | </MATH>prime</I></A>
|
---|
| 809 | </H4>
|
---|
| 810 | <P><IMG WIDTH="552" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 811 | SRC="img186.gif"
|
---|
| 812 | ALT="$\textstyle\parbox{\pboxargslen}{\em m1 m2 \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 813 | <BLOCKQUOTE>
|
---|
| 814 | Returns T if two monomials M1 and M2 are relatively prime (disjoint).</BLOCKQUOTE><H4><A NAME="SECTION0001200170000000000000">
|
---|
| 815 | <I>monom<MATH CLASS="INLINE">
|
---|
| 816 | -
|
---|
| 817 | </MATH>equal</I></A>
|
---|
| 818 | </H4>
|
---|
| 819 | <P><IMG WIDTH="552" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 820 | SRC="img186.gif"
|
---|
| 821 | ALT="$\textstyle\parbox{\pboxargslen}{\em m1 m2 \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 822 | <BLOCKQUOTE>
|
---|
| 823 | Returns T if two monomials M1 and M2 are equal.</BLOCKQUOTE><H4><A NAME="SECTION0001200180000000000000">
|
---|
| 824 | <I>monom<MATH CLASS="INLINE">
|
---|
| 825 | -
|
---|
| 826 | </MATH>lcm</I></A>
|
---|
| 827 | </H4>
|
---|
| 828 | <P><IMG WIDTH="552" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 829 | SRC="img186.gif"
|
---|
| 830 | ALT="$\textstyle\parbox{\pboxargslen}{\em m1 m2 \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 831 | <BLOCKQUOTE>
|
---|
| 832 | Returns least common multiple of monomials M1 and M2.</BLOCKQUOTE><H4><A NAME="SECTION0001200190000000000000">
|
---|
| 833 | <I>monom<MATH CLASS="INLINE">
|
---|
| 834 | -
|
---|
| 835 | </MATH>gcd</I></A>
|
---|
| 836 | </H4>
|
---|
| 837 | <P><IMG WIDTH="552" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 838 | SRC="img186.gif"
|
---|
| 839 | ALT="$\textstyle\parbox{\pboxargslen}{\em m1 m2 \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 840 | <BLOCKQUOTE>
|
---|
| 841 | Returns greatest common divisor of monomials M1 and M2.</BLOCKQUOTE><H4><A NAME="SECTION0001200200000000000000">
|
---|
| 842 | <I>poly<MATH CLASS="INLINE">
|
---|
| 843 | -
|
---|
| 844 | </MATH>gcd</I></A>
|
---|
| 845 | </H4>
|
---|
| 846 | <P><IMG WIDTH="504" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 847 | SRC="img140.gif"
|
---|
| 848 | ALT="$\textstyle\parbox{\pboxargslen}{\em a b \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 849 | <BLOCKQUOTE>
|
---|
| 850 | </BLOCKQUOTE><H4><A NAME="SECTION0001200210000000000000">
|
---|
| 851 | <I>poly<MATH CLASS="INLINE">
|
---|
| 852 | -
|
---|
| 853 | </MATH>pseudo<MATH CLASS="INLINE">
|
---|
| 854 | -
|
---|
| 855 | </MATH>divide</I></A>
|
---|
| 856 | </H4>
|
---|
| 857 | <P><IMG WIDTH="469" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 858 | SRC="img187.gif"
|
---|
| 859 | ALT="$\textstyle\parbox{\pboxargslen}{\em f g \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 860 | <BLOCKQUOTE>
|
---|
| 861 | </BLOCKQUOTE><H4><A NAME="SECTION0001200220000000000000">
|
---|
| 862 | <I>poly<MATH CLASS="INLINE">
|
---|
| 863 | -
|
---|
| 864 | </MATH>pseudo<MATH CLASS="INLINE">
|
---|
| 865 | -
|
---|
| 866 | </MATH>remainder</I></A>
|
---|
| 867 | </H4>
|
---|
| 868 | <P><IMG WIDTH="469" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 869 | SRC="img187.gif"
|
---|
| 870 | ALT="$\textstyle\parbox{\pboxargslen}{\em f g \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 871 | <BLOCKQUOTE>
|
---|
| 872 | </BLOCKQUOTE><H4><A NAME="SECTION0001200230000000000000">
|
---|
| 873 | <I>mdeg</I></A>
|
---|
| 874 | </H4>
|
---|
| 875 | <P><IMG WIDTH="574" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 876 | SRC="img188.gif"
|
---|
| 877 | ALT="$\textstyle\parbox{\pboxargslen}{\em b \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 878 | <BLOCKQUOTE>
|
---|
| 879 | </BLOCKQUOTE><H4><A NAME="SECTION0001200240000000000000">
|
---|
| 880 | <I>lcoeff</I></A>
|
---|
| 881 | </H4>
|
---|
| 882 | <P><IMG WIDTH="574" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 883 | SRC="img188.gif"
|
---|
| 884 | ALT="$\textstyle\parbox{\pboxargslen}{\em b \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 885 | <BLOCKQUOTE>
|
---|
| 886 | </BLOCKQUOTE><H4><A NAME="SECTION0001200250000000000000">
|
---|
| 887 | <I>lrest</I></A>
|
---|
| 888 | </H4>
|
---|
| 889 | <P><IMG WIDTH="574" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 890 | SRC="img188.gif"
|
---|
| 891 | ALT="$\textstyle\parbox{\pboxargslen}{\em b \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 892 | <BLOCKQUOTE>
|
---|
| 893 | </BLOCKQUOTE><H4><A NAME="SECTION0001200260000000000000">
|
---|
| 894 | <I>lpart</I></A>
|
---|
| 895 | </H4>
|
---|
| 896 | <P><IMG WIDTH="574" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 897 | SRC="img188.gif"
|
---|
| 898 | ALT="$\textstyle\parbox{\pboxargslen}{\em b \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 899 | <BLOCKQUOTE>
|
---|
| 900 | </BLOCKQUOTE><H4><A NAME="SECTION0001200270000000000000">
|
---|
| 901 | <I>poly<MATH CLASS="INLINE">
|
---|
| 902 | -
|
---|
| 903 | </MATH>primitive<MATH CLASS="INLINE">
|
---|
| 904 | -
|
---|
| 905 | </MATH>part</I></A>
|
---|
| 906 | </H4>
|
---|
| 907 | <P><IMG WIDTH="549" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 908 | SRC="img88.gif"
|
---|
| 909 | ALT="$\textstyle\parbox{\pboxargslen}{\em f \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 910 | <BLOCKQUOTE>
|
---|
| 911 | </BLOCKQUOTE><H4><A NAME="SECTION0001200280000000000000">
|
---|
| 912 | <I>poly<MATH CLASS="INLINE">
|
---|
| 913 | -
|
---|
| 914 | </MATH>content</I></A>
|
---|
| 915 | </H4>
|
---|
| 916 | <P><IMG WIDTH="549" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 917 | SRC="img88.gif"
|
---|
| 918 | ALT="$\textstyle\parbox{\pboxargslen}{\em f \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 919 | <BLOCKQUOTE>
|
---|
| 920 | </BLOCKQUOTE><H4><A NAME="SECTION0001200290000000000000">
|
---|
| 921 | <I>poly<MATH CLASS="INLINE">
|
---|
| 922 | -
|
---|
| 923 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 924 | -
|
---|
| 925 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 926 | -
|
---|
| 927 | </MATH>poly</I></A>
|
---|
| 928 | </H4>
|
---|
| 929 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 930 | SRC="img80.gif"
|
---|
| 931 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 932 | <BLOCKQUOTE>
|
---|
| 933 | </BLOCKQUOTE><H4><A NAME="SECTION0001200300000000000000">
|
---|
| 934 | <I>poly<MATH CLASS="INLINE">
|
---|
| 935 | -
|
---|
| 936 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 937 | -
|
---|
| 938 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 939 | -
|
---|
| 940 | </MATH>sugar</I></A>
|
---|
| 941 | </H4>
|
---|
| 942 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 943 | SRC="img80.gif"
|
---|
| 944 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 945 | <BLOCKQUOTE>
|
---|
| 946 | </BLOCKQUOTE><H4><A NAME="SECTION0001200310000000000000">
|
---|
| 947 | <I>poly<MATH CLASS="INLINE">
|
---|
| 948 | -
|
---|
| 949 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 950 | -
|
---|
| 951 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 952 | -
|
---|
| 953 | </MATH>tail</I></A>
|
---|
| 954 | </H4>
|
---|
| 955 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 956 | SRC="img80.gif"
|
---|
| 957 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 958 | <BLOCKQUOTE>
|
---|
| 959 | </BLOCKQUOTE><H4><A NAME="SECTION0001200320000000000000">
|
---|
| 960 | <I>(setf poly<MATH CLASS="INLINE">
|
---|
| 961 | -
|
---|
| 962 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 963 | -
|
---|
| 964 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 965 | -
|
---|
| 966 | </MATH>poly)</I></A>
|
---|
| 967 | </H4>
|
---|
| 968 | <P><IMG WIDTH="348" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 969 | SRC="img189.gif"
|
---|
| 970 | ALT="$\textstyle\parbox{\pboxargslen}{\em poly \/}$"> [<EM>SETF MAPPING</EM>]
|
---|
| 971 | <BLOCKQUOTE>
|
---|
| 972 | </BLOCKQUOTE><H4><A NAME="SECTION0001200330000000000000">
|
---|
| 973 | <I>(setf poly<MATH CLASS="INLINE">
|
---|
| 974 | -
|
---|
| 975 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 976 | -
|
---|
| 977 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 978 | -
|
---|
| 979 | </MATH>sugar)</I></A>
|
---|
| 980 | </H4>
|
---|
| 981 | <P><IMG WIDTH="340" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 982 | SRC="img190.gif"
|
---|
| 983 | ALT="$\textstyle\parbox{\pboxargslen}{\em sugar \/}$"> [<EM>SETF MAPPING</EM>]
|
---|
| 984 | <BLOCKQUOTE>
|
---|
| 985 | </BLOCKQUOTE><H4><A NAME="SECTION0001200340000000000000">
|
---|
| 986 | <I>(setf poly<MATH CLASS="INLINE">
|
---|
| 987 | -
|
---|
| 988 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 989 | -
|
---|
| 990 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 991 | -
|
---|
| 992 | </MATH>tail)</I></A>
|
---|
| 993 | </H4>
|
---|
| 994 | <P><IMG WIDTH="355" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 995 | SRC="img191.gif"
|
---|
| 996 | ALT="$\textstyle\parbox{\pboxargslen}{\em tail \/}$"> [<EM>SETF MAPPING</EM>]
|
---|
| 997 | <BLOCKQUOTE>
|
---|
| 998 | </BLOCKQUOTE><H4><A NAME="SECTION0001200350000000000000">
|
---|
| 999 | <I>monom<MATH CLASS="INLINE">
|
---|
| 1000 | -
|
---|
| 1001 | </MATH>sugar</I></A>
|
---|
| 1002 | </H4>
|
---|
| 1003 | <P><IMG WIDTH="511" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
---|
| 1004 | SRC="img192.gif"
|
---|
| 1005 | ALT="$\textstyle\parbox{\pboxargslen}{\em m \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1006 | <BLOCKQUOTE>
|
---|
| 1007 | </BLOCKQUOTE><H4><A NAME="SECTION0001200360000000000000">
|
---|
| 1008 | <I>coefficient<MATH CLASS="INLINE">
|
---|
| 1009 | -
|
---|
| 1010 | </MATH>sugar</I></A>
|
---|
| 1011 | </H4>
|
---|
| 1012 | <P><IMG WIDTH="492" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1013 | SRC="img193.gif"
|
---|
| 1014 | ALT="$\textstyle\parbox{\pboxargslen}{\em c ring \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1015 | <BLOCKQUOTE>
|
---|
| 1016 | </BLOCKQUOTE><H4><A NAME="SECTION0001200370000000000000">
|
---|
| 1017 | <I>term<MATH CLASS="INLINE">
|
---|
| 1018 | -
|
---|
| 1019 | </MATH>sugar</I></A>
|
---|
| 1020 | </H4>
|
---|
| 1021 | <P><IMG WIDTH="455" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1022 | SRC="img94.gif"
|
---|
| 1023 | ALT="$\textstyle\parbox{\pboxargslen}{\em term ring \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1024 | <BLOCKQUOTE>
|
---|
| 1025 | </BLOCKQUOTE><H4><A NAME="SECTION0001200380000000000000">
|
---|
| 1026 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1027 | -
|
---|
| 1028 | </MATH>add<MATH CLASS="INLINE">
|
---|
| 1029 | -
|
---|
| 1030 | </MATH>sugar</I></A>
|
---|
| 1031 | </H4>
|
---|
| 1032 | <P><IMG WIDTH="495" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1033 | SRC="img194.gif"
|
---|
| 1034 | ALT="$\textstyle\parbox{\pboxargslen}{\em poly ring \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1035 | <BLOCKQUOTE>
|
---|
| 1036 | </BLOCKQUOTE><H4><A NAME="SECTION0001200390000000000000">
|
---|
| 1037 | <I>scalar<MATH CLASS="INLINE">
|
---|
| 1038 | -
|
---|
| 1039 | </MATH>times<MATH CLASS="INLINE">
|
---|
| 1040 | -
|
---|
| 1041 | </MATH>poly<MATH CLASS="INLINE">
|
---|
| 1042 | -
|
---|
| 1043 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1044 | -
|
---|
| 1045 | </MATH>sugar</I></A>
|
---|
| 1046 | </H4>
|
---|
| 1047 | <P><IMG WIDTH="389" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1048 | SRC="img195.gif"
|
---|
| 1049 | ALT="$\textstyle\parbox{\pboxargslen}{\em c p ring \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1050 | <BLOCKQUOTE>
|
---|
| 1051 | </BLOCKQUOTE><H4><A NAME="SECTION0001200400000000000000">
|
---|
| 1052 | <I>term<MATH CLASS="INLINE">
|
---|
| 1053 | -
|
---|
| 1054 | </MATH>times<MATH CLASS="INLINE">
|
---|
| 1055 | -
|
---|
| 1056 | </MATH>poly<MATH CLASS="INLINE">
|
---|
| 1057 | -
|
---|
| 1058 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1059 | -
|
---|
| 1060 | </MATH>sugar</I></A>
|
---|
| 1061 | </H4>
|
---|
| 1062 | <P><IMG WIDTH="396" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1063 | SRC="img196.gif"
|
---|
| 1064 | ALT="$\textstyle\parbox{\pboxargslen}{\em term f ring \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1065 | <BLOCKQUOTE>
|
---|
| 1066 | </BLOCKQUOTE><H4><A NAME="SECTION0001200410000000000000">
|
---|
| 1067 | <I>monom<MATH CLASS="INLINE">
|
---|
| 1068 | -
|
---|
| 1069 | </MATH>times<MATH CLASS="INLINE">
|
---|
| 1070 | -
|
---|
| 1071 | </MATH>poly<MATH CLASS="INLINE">
|
---|
| 1072 | -
|
---|
| 1073 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1074 | -
|
---|
| 1075 | </MATH>sugar</I></A>
|
---|
| 1076 | </H4>
|
---|
| 1077 | <P><IMG WIDTH="453" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1078 | SRC="img129.gif"
|
---|
| 1079 | ALT="$\textstyle\parbox{\pboxargslen}{\em m f \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1080 | <BLOCKQUOTE>
|
---|
| 1081 | </BLOCKQUOTE><H4><A NAME="SECTION0001200420000000000000">
|
---|
| 1082 | <I>minus<MATH CLASS="INLINE">
|
---|
| 1083 | -
|
---|
| 1084 | </MATH>poly<MATH CLASS="INLINE">
|
---|
| 1085 | -
|
---|
| 1086 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1087 | -
|
---|
| 1088 | </MATH>sugar</I></A>
|
---|
| 1089 | </H4>
|
---|
| 1090 | <P><IMG WIDTH="437" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1091 | SRC="img197.gif"
|
---|
| 1092 | ALT="$\textstyle\parbox{\pboxargslen}{\em f ring \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1093 | <BLOCKQUOTE>
|
---|
| 1094 | </BLOCKQUOTE><H4><A NAME="SECTION0001200430000000000000">
|
---|
| 1095 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1096 | -
|
---|
| 1097 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1098 | -
|
---|
| 1099 | </MATH>sugar+</I></A>
|
---|
| 1100 | </H4>
|
---|
| 1101 | <P><IMG WIDTH="478" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1102 | SRC="img198.gif"
|
---|
| 1103 | ALT="$\textstyle\parbox{\pboxargslen}{\em p q pred ring \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1104 | <BLOCKQUOTE>
|
---|
| 1105 | </BLOCKQUOTE><H4><A NAME="SECTION0001200440000000000000">
|
---|
| 1106 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1107 | -
|
---|
| 1108 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1109 | -
|
---|
| 1110 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 1111 | -
|
---|
| 1112 | </MATH></I></A>
|
---|
| 1113 | </H4>
|
---|
| 1114 | <P><IMG WIDTH="478" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1115 | SRC="img198.gif"
|
---|
| 1116 | ALT="$\textstyle\parbox{\pboxargslen}{\em p q pred ring \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1117 | <BLOCKQUOTE>
|
---|
| 1118 | </BLOCKQUOTE><H4><A NAME="SECTION0001200450000000000000">
|
---|
| 1119 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1120 | -
|
---|
| 1121 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1122 | -
|
---|
| 1123 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 1124 | -
|
---|
| 1125 | </MATH>op</I></A>
|
---|
| 1126 | </H4>
|
---|
| 1127 | <P><IMG WIDTH="461" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1128 | SRC="img199.gif"
|
---|
| 1129 | ALT="$\textstyle\parbox{\pboxargslen}{\em f term g pred ring \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1130 | <BLOCKQUOTE>
|
---|
| 1131 | </BLOCKQUOTE><H4><A NAME="SECTION0001200460000000000000">
|
---|
| 1132 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1133 | -
|
---|
| 1134 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1135 | -
|
---|
| 1136 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 1137 | -
|
---|
| 1138 | </MATH>nreverse</I></A>
|
---|
| 1139 | </H4>
|
---|
| 1140 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1141 | SRC="img80.gif"
|
---|
| 1142 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1143 | <BLOCKQUOTE>
|
---|
| 1144 | </BLOCKQUOTE><H4><A NAME="SECTION0001200470000000000000">
|
---|
| 1145 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1146 | -
|
---|
| 1147 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1148 | -
|
---|
| 1149 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 1150 | -
|
---|
| 1151 | </MATH>append</I></A>
|
---|
| 1152 | </H4>
|
---|
| 1153 | <P><IMG WIDTH="427" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1154 | SRC="img200.gif"
|
---|
| 1155 | ALT="$\textstyle\parbox{\pboxargslen}{\em p q \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1156 | <BLOCKQUOTE>
|
---|
| 1157 | </BLOCKQUOTE><H4><A NAME="SECTION0001200480000000000000">
|
---|
| 1158 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1159 | -
|
---|
| 1160 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1161 | -
|
---|
| 1162 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 1163 | -
|
---|
| 1164 | </MATH>zerop</I></A>
|
---|
| 1165 | </H4>
|
---|
| 1166 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1167 | SRC="img80.gif"
|
---|
| 1168 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1169 | <BLOCKQUOTE>
|
---|
| 1170 | </BLOCKQUOTE><H4><A NAME="SECTION0001200490000000000000">
|
---|
| 1171 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1172 | -
|
---|
| 1173 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1174 | -
|
---|
| 1175 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 1176 | -
|
---|
| 1177 | </MATH>lm</I></A>
|
---|
| 1178 | </H4>
|
---|
| 1179 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1180 | SRC="img80.gif"
|
---|
| 1181 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1182 | <BLOCKQUOTE>
|
---|
| 1183 | </BLOCKQUOTE><H4><A NAME="SECTION0001200500000000000000">
|
---|
| 1184 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1185 | -
|
---|
| 1186 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1187 | -
|
---|
| 1188 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 1189 | -
|
---|
| 1190 | </MATH>lc</I></A>
|
---|
| 1191 | </H4>
|
---|
| 1192 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1193 | SRC="img80.gif"
|
---|
| 1194 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1195 | <BLOCKQUOTE>
|
---|
| 1196 | </BLOCKQUOTE><H4><A NAME="SECTION0001200510000000000000">
|
---|
| 1197 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1198 | -
|
---|
| 1199 | </MATH>with<MATH CLASS="INLINE">
|
---|
| 1200 | -
|
---|
| 1201 | </MATH>sugar<MATH CLASS="INLINE">
|
---|
| 1202 | -
|
---|
| 1203 | </MATH>lt</I></A>
|
---|
| 1204 | </H4>
|
---|
| 1205 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1206 | SRC="img80.gif"
|
---|
| 1207 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1208 | <BLOCKQUOTE>
|
---|
| 1209 | </BLOCKQUOTE><H4><A NAME="SECTION0001200520000000000000">
|
---|
| 1210 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1211 | -
|
---|
| 1212 | </MATH>print</I></A>
|
---|
| 1213 | </H4>
|
---|
| 1214 | <P><IMG WIDTH="537" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1215 | SRC="img201.gif"
|
---|
| 1216 | ALT="$\textstyle\parbox{\pboxargslen}{\em plist vars {\sf \&optional} (stream t) \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1217 | <BLOCKQUOTE>
|
---|
| 1218 | Prints a polynomial or a list of polynomials PLIST using infix
|
---|
| 1219 | syntax compatible with most software systems. The following data
|
---|
| 1220 | representations are assumed: 1) Polynomial list is ([ poly1 poly2
|
---|
| 1221 | ...) 2) Polynomial is a list (term1 term2 ...)
|
---|
| 1222 | 3) Term is (monom . number)
|
---|
| 1223 | 4) Monom is (number1 number2 ...) and is a list of powers at
|
---|
| 1224 | corresponding variables
|
---|
| 1225 | Variable names must be provided to the printer explicitly.</BLOCKQUOTE><H4><A NAME="SECTION0001200530000000000000">
|
---|
| 1226 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1227 | -
|
---|
| 1228 | </MATH>print<MATH CLASS="INLINE">
|
---|
| 1229 | -
|
---|
| 1230 | </MATH>1</I></A>
|
---|
| 1231 | </H4>
|
---|
| 1232 | <P><IMG WIDTH="516" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1233 | SRC="img202.gif"
|
---|
| 1234 | ALT="$\textstyle\parbox{\pboxargslen}{\em p vars {\sf \&optional} (stream t) \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1235 | <BLOCKQUOTE>
|
---|
| 1236 | An auxillary function of POLY<MATH CLASS="INLINE">
|
---|
| 1237 | -
|
---|
| 1238 | </MATH>PRINT. It prints a single polynomial
|
---|
| 1239 | P. </BLOCKQUOTE><H4><A NAME="SECTION0001200540000000000000">
|
---|
| 1240 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1241 | -
|
---|
| 1242 | </MATH>print<MATH CLASS="INLINE">
|
---|
| 1243 | -
|
---|
| 1244 | </MATH>2</I></A>
|
---|
| 1245 | </H4>
|
---|
| 1246 | <P><IMG WIDTH="516" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1247 | SRC="img203.gif"
|
---|
| 1248 | ALT="$\textstyle\parbox{\pboxargslen}{\em plist vars stream {\sf \&optional} (beg t) \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1249 | <BLOCKQUOTE>
|
---|
| 1250 | An auxillary function of POLY<MATH CLASS="INLINE">
|
---|
| 1251 | -
|
---|
| 1252 | </MATH>PRINT. It prints a comma<MATH CLASS="INLINE">
|
---|
| 1253 | -
|
---|
| 1254 | </MATH>separated
|
---|
| 1255 | list of polynomials PLIST. </BLOCKQUOTE><H4><A NAME="SECTION0001200550000000000000">
|
---|
| 1256 | <I>print<MATH CLASS="INLINE">
|
---|
| 1257 | -
|
---|
| 1258 | </MATH>term</I></A>
|
---|
| 1259 | </H4>
|
---|
| 1260 | <P><IMG WIDTH="534" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1261 | SRC="img204.gif"
|
---|
| 1262 | ALT="$\textstyle\parbox{\pboxargslen}{\em l vars {\sf \&optional} (stream t) beg \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1263 | <BLOCKQUOTE>
|
---|
| 1264 | An auxillary function of POLY<MATH CLASS="INLINE">
|
---|
| 1265 | -
|
---|
| 1266 | </MATH>PRINT. It prints a single term L.</BLOCKQUOTE><H4><A NAME="SECTION0001200560000000000000">
|
---|
| 1267 | <I>print<MATH CLASS="INLINE">
|
---|
| 1268 | -
|
---|
| 1269 | </MATH>monom</I></A>
|
---|
| 1270 | </H4>
|
---|
| 1271 | <P><IMG WIDTH="534" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1272 | SRC="img204.gif"
|
---|
| 1273 | ALT="$\textstyle\parbox{\pboxargslen}{\em l vars {\sf \&optional} (stream t) beg \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1274 | <BLOCKQUOTE>
|
---|
| 1275 | An auxillary function of POLY<MATH CLASS="INLINE">
|
---|
| 1276 | -
|
---|
| 1277 | </MATH>PRINT. It prints a single monomial L.</BLOCKQUOTE><H4><A NAME="SECTION0001200570000000000000">
|
---|
| 1278 | <I>num</I></A>
|
---|
| 1279 | </H4>
|
---|
| 1280 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1281 | SRC="img80.gif"
|
---|
| 1282 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1283 | <BLOCKQUOTE>
|
---|
| 1284 | </BLOCKQUOTE><H4><A NAME="SECTION0001200580000000000000">
|
---|
| 1285 | <I>denom</I></A>
|
---|
| 1286 | </H4>
|
---|
| 1287 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1288 | SRC="img80.gif"
|
---|
| 1289 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1290 | <BLOCKQUOTE>
|
---|
| 1291 | </BLOCKQUOTE><H4><A NAME="SECTION0001200590000000000000">
|
---|
| 1292 | <I>rat<MATH CLASS="INLINE">
|
---|
| 1293 | -
|
---|
| 1294 | </MATH>simplify<MATH CLASS="INLINE">
|
---|
| 1295 | -
|
---|
| 1296 | </MATH>2</I></A>
|
---|
| 1297 | </H4>
|
---|
| 1298 | <P><IMG WIDTH="505" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1299 | SRC="img205.gif"
|
---|
| 1300 | ALT="$\textstyle\parbox{\pboxargslen}{\em num denom \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1301 | <BLOCKQUOTE>
|
---|
| 1302 | </BLOCKQUOTE><H4><A NAME="SECTION0001200600000000000000">
|
---|
| 1303 | <I>rat<MATH CLASS="INLINE">
|
---|
| 1304 | -
|
---|
| 1305 | </MATH>simplify</I></A>
|
---|
| 1306 | </H4>
|
---|
| 1307 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1308 | SRC="img80.gif"
|
---|
| 1309 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1310 | <BLOCKQUOTE>
|
---|
| 1311 | </BLOCKQUOTE><H4><A NAME="SECTION0001200610000000000000">
|
---|
| 1312 | <I>rat+</I></A>
|
---|
| 1313 | </H4>
|
---|
| 1314 | <P><IMG WIDTH="427" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1315 | SRC="img200.gif"
|
---|
| 1316 | ALT="$\textstyle\parbox{\pboxargslen}{\em p q \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1317 | <BLOCKQUOTE>
|
---|
| 1318 | </BLOCKQUOTE><H4><A NAME="SECTION0001200620000000000000">
|
---|
| 1319 | <I>rat<MATH CLASS="INLINE">
|
---|
| 1320 | -
|
---|
| 1321 | </MATH></I></A>
|
---|
| 1322 | </H4>
|
---|
| 1323 | <P><IMG WIDTH="427" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1324 | SRC="img200.gif"
|
---|
| 1325 | ALT="$\textstyle\parbox{\pboxargslen}{\em p q \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1326 | <BLOCKQUOTE>
|
---|
| 1327 | </BLOCKQUOTE><H4><A NAME="SECTION0001200630000000000000">
|
---|
| 1328 | <I>rat*</I></A>
|
---|
| 1329 | </H4>
|
---|
| 1330 | <P><IMG WIDTH="427" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1331 | SRC="img200.gif"
|
---|
| 1332 | ALT="$\textstyle\parbox{\pboxargslen}{\em p q \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1333 | <BLOCKQUOTE>
|
---|
| 1334 | </BLOCKQUOTE><H4><A NAME="SECTION0001200640000000000000">
|
---|
| 1335 | <I>rat/</I></A>
|
---|
| 1336 | </H4>
|
---|
| 1337 | <P><IMG WIDTH="427" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1338 | SRC="img200.gif"
|
---|
| 1339 | ALT="$\textstyle\parbox{\pboxargslen}{\em p q \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1340 | <BLOCKQUOTE>
|
---|
| 1341 | </BLOCKQUOTE><H4><A NAME="SECTION0001200650000000000000">
|
---|
| 1342 | <I>scalar<MATH CLASS="INLINE">
|
---|
| 1343 | -
|
---|
| 1344 | </MATH>times<MATH CLASS="INLINE">
|
---|
| 1345 | -
|
---|
| 1346 | </MATH>rat</I></A>
|
---|
| 1347 | </H4>
|
---|
| 1348 | <P><IMG WIDTH="490" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1349 | SRC="img206.gif"
|
---|
| 1350 | ALT="$\textstyle\parbox{\pboxargslen}{\em scalar p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1351 | <BLOCKQUOTE>
|
---|
| 1352 | </BLOCKQUOTE><H4><A NAME="SECTION0001200660000000000000">
|
---|
| 1353 | <I>scalar<MATH CLASS="INLINE">
|
---|
| 1354 | -
|
---|
| 1355 | </MATH>div<MATH CLASS="INLINE">
|
---|
| 1356 | -
|
---|
| 1357 | </MATH>rat</I></A>
|
---|
| 1358 | </H4>
|
---|
| 1359 | <P><IMG WIDTH="490" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1360 | SRC="img206.gif"
|
---|
| 1361 | ALT="$\textstyle\parbox{\pboxargslen}{\em scalar p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1362 | <BLOCKQUOTE>
|
---|
| 1363 | </BLOCKQUOTE><H4><A NAME="SECTION0001200670000000000000">
|
---|
| 1364 | <I>rat<MATH CLASS="INLINE">
|
---|
| 1365 | -
|
---|
| 1366 | </MATH>zerop</I></A>
|
---|
| 1367 | </H4>
|
---|
| 1368 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1369 | SRC="img80.gif"
|
---|
| 1370 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1371 | <BLOCKQUOTE>
|
---|
| 1372 | </BLOCKQUOTE><H4><A NAME="SECTION0001200680000000000000">
|
---|
| 1373 | <I>rat<MATH CLASS="INLINE">
|
---|
| 1374 | -
|
---|
| 1375 | </MATH>uminus</I></A>
|
---|
| 1376 | </H4>
|
---|
| 1377 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1378 | SRC="img80.gif"
|
---|
| 1379 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1380 | <BLOCKQUOTE>
|
---|
| 1381 | </BLOCKQUOTE><H4><A NAME="SECTION0001200690000000000000">
|
---|
| 1382 | <I>rat<MATH CLASS="INLINE">
|
---|
| 1383 | -
|
---|
| 1384 | </MATH>expt</I></A>
|
---|
| 1385 | </H4>
|
---|
| 1386 | <P><IMG WIDTH="549" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1387 | SRC="img207.gif"
|
---|
| 1388 | ALT="$\textstyle\parbox{\pboxargslen}{\em p n \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1389 | <BLOCKQUOTE>
|
---|
| 1390 | </BLOCKQUOTE><H4><A NAME="SECTION0001200700000000000000">
|
---|
| 1391 | <I>rat<MATH CLASS="INLINE">
|
---|
| 1392 | -
|
---|
| 1393 | </MATH>constant</I></A>
|
---|
| 1394 | </H4>
|
---|
| 1395 | <P><IMG WIDTH="520" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
---|
| 1396 | SRC="img208.gif"
|
---|
| 1397 | ALT="$\textstyle\parbox{\pboxargslen}{\em c n \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1398 | <BLOCKQUOTE>
|
---|
| 1399 | Make a constant rational function equal to c with n variables</BLOCKQUOTE><H4><A NAME="SECTION0001200710000000000000">
|
---|
| 1400 | <I>rat<MATH CLASS="INLINE">
|
---|
| 1401 | -
|
---|
| 1402 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 1403 | -
|
---|
| 1404 | </MATH>poly</I></A>
|
---|
| 1405 | </H4>
|
---|
| 1406 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1407 | SRC="img80.gif"
|
---|
| 1408 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1409 | <BLOCKQUOTE>
|
---|
| 1410 | Attempt to convert a rational function to a polynomial by
|
---|
| 1411 | dividing numerator by denominator. Error if not divisible</BLOCKQUOTE><H4><A NAME="SECTION0001200720000000000000">
|
---|
| 1412 | <I>ratpoly+</I></A>
|
---|
| 1413 | </H4>
|
---|
| 1414 | <P><IMG WIDTH="427" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1415 | SRC="img200.gif"
|
---|
| 1416 | ALT="$\textstyle\parbox{\pboxargslen}{\em p q \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1417 | <BLOCKQUOTE>
|
---|
| 1418 | Add polynomials P and Q.</BLOCKQUOTE><H4><A NAME="SECTION0001200730000000000000">
|
---|
| 1419 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1420 | -
|
---|
| 1421 | </MATH></I></A>
|
---|
| 1422 | </H4>
|
---|
| 1423 | <P><IMG WIDTH="427" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1424 | SRC="img200.gif"
|
---|
| 1425 | ALT="$\textstyle\parbox{\pboxargslen}{\em p q \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1426 | <BLOCKQUOTE>
|
---|
| 1427 | </BLOCKQUOTE><H4><A NAME="SECTION0001200740000000000000">
|
---|
| 1428 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1429 | -
|
---|
| 1430 | </MATH>uminus</I></A>
|
---|
| 1431 | </H4>
|
---|
| 1432 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1433 | SRC="img80.gif"
|
---|
| 1434 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1435 | <BLOCKQUOTE>
|
---|
| 1436 | </BLOCKQUOTE><H4><A NAME="SECTION0001200750000000000000">
|
---|
| 1437 | <I>ratpoly*</I></A>
|
---|
| 1438 | </H4>
|
---|
| 1439 | <P><IMG WIDTH="427" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1440 | SRC="img200.gif"
|
---|
| 1441 | ALT="$\textstyle\parbox{\pboxargslen}{\em p q \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1442 | <BLOCKQUOTE>
|
---|
| 1443 | Multiply polynomials P and Q.</BLOCKQUOTE><H4><A NAME="SECTION0001200760000000000000">
|
---|
| 1444 | <I>scalar<MATH CLASS="INLINE">
|
---|
| 1445 | -
|
---|
| 1446 | </MATH>times<MATH CLASS="INLINE">
|
---|
| 1447 | -
|
---|
| 1448 | </MATH>ratpoly</I></A>
|
---|
| 1449 | </H4>
|
---|
| 1450 | <P><IMG WIDTH="490" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1451 | SRC="img206.gif"
|
---|
| 1452 | ALT="$\textstyle\parbox{\pboxargslen}{\em scalar p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1453 | <BLOCKQUOTE>
|
---|
| 1454 | Multiply scalar SCALAR by a polynomial P.</BLOCKQUOTE><H4><A NAME="SECTION0001200770000000000000">
|
---|
| 1455 | <I>rat<MATH CLASS="INLINE">
|
---|
| 1456 | -
|
---|
| 1457 | </MATH>times<MATH CLASS="INLINE">
|
---|
| 1458 | -
|
---|
| 1459 | </MATH>ratpoly</I></A>
|
---|
| 1460 | </H4>
|
---|
| 1461 | <P><IMG WIDTH="490" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1462 | SRC="img206.gif"
|
---|
| 1463 | ALT="$\textstyle\parbox{\pboxargslen}{\em scalar p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1464 | <BLOCKQUOTE>
|
---|
| 1465 | Multiply rational function SCALAR by a polynomial P.</BLOCKQUOTE><H4><A NAME="SECTION0001200780000000000000">
|
---|
| 1466 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1467 | -
|
---|
| 1468 | </MATH>divide</I></A>
|
---|
| 1469 | </H4>
|
---|
| 1470 | <P><IMG WIDTH="469" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1471 | SRC="img187.gif"
|
---|
| 1472 | ALT="$\textstyle\parbox{\pboxargslen}{\em f g \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1473 | <BLOCKQUOTE>
|
---|
| 1474 | Divide polynomial F by G. Return quotient and remainder as multiple
|
---|
| 1475 | values. </BLOCKQUOTE><H4><A NAME="SECTION0001200790000000000000">
|
---|
| 1476 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1477 | -
|
---|
| 1478 | </MATH>remainder</I></A>
|
---|
| 1479 | </H4>
|
---|
| 1480 | <P><IMG WIDTH="469" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1481 | SRC="img187.gif"
|
---|
| 1482 | ALT="$\textstyle\parbox{\pboxargslen}{\em f g \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1483 | <BLOCKQUOTE>
|
---|
| 1484 | The remainder of the division of a polynomial F by G.</BLOCKQUOTE><H4><A NAME="SECTION0001200800000000000000">
|
---|
| 1485 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1486 | -
|
---|
| 1487 | </MATH>gcd</I></A>
|
---|
| 1488 | </H4>
|
---|
| 1489 | <P><IMG WIDTH="469" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1490 | SRC="img187.gif"
|
---|
| 1491 | ALT="$\textstyle\parbox{\pboxargslen}{\em f g \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1492 | <BLOCKQUOTE>
|
---|
| 1493 | Return GCD of polynomials F and G.</BLOCKQUOTE><H4><A NAME="SECTION0001200810000000000000">
|
---|
| 1494 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1495 | -
|
---|
| 1496 | </MATH>diff</I></A>
|
---|
| 1497 | </H4>
|
---|
| 1498 | <P><IMG WIDTH="549" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1499 | SRC="img88.gif"
|
---|
| 1500 | ALT="$\textstyle\parbox{\pboxargslen}{\em f \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1501 | <BLOCKQUOTE>
|
---|
| 1502 | Differentiate a polynomial.</BLOCKQUOTE><H4><A NAME="SECTION0001200820000000000000">
|
---|
| 1503 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1504 | -
|
---|
| 1505 | </MATH>square<MATH CLASS="INLINE">
|
---|
| 1506 | -
|
---|
| 1507 | </MATH>free</I></A>
|
---|
| 1508 | </H4>
|
---|
| 1509 | <P><IMG WIDTH="549" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1510 | SRC="img88.gif"
|
---|
| 1511 | ALT="$\textstyle\parbox{\pboxargslen}{\em f \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1512 | <BLOCKQUOTE>
|
---|
| 1513 | Return the square<MATH CLASS="INLINE">
|
---|
| 1514 | -
|
---|
| 1515 | </MATH>free part of a polynomial F.</BLOCKQUOTE><H4><A NAME="SECTION0001200830000000000000">
|
---|
| 1516 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1517 | -
|
---|
| 1518 | </MATH>normalize</I></A>
|
---|
| 1519 | </H4>
|
---|
| 1520 | <P><IMG WIDTH="549" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1521 | SRC="img88.gif"
|
---|
| 1522 | ALT="$\textstyle\parbox{\pboxargslen}{\em f \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1523 | <BLOCKQUOTE>
|
---|
| 1524 | Divide a non<MATH CLASS="INLINE">
|
---|
| 1525 | -
|
---|
| 1526 | </MATH>zero polynomial by the coefficient at the highest
|
---|
| 1527 | power. </BLOCKQUOTE><H4><A NAME="SECTION0001200840000000000000">
|
---|
| 1528 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1529 | -
|
---|
| 1530 | </MATH>resultant</I></A>
|
---|
| 1531 | </H4>
|
---|
| 1532 | <P><IMG WIDTH="469" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1533 | SRC="img187.gif"
|
---|
| 1534 | ALT="$\textstyle\parbox{\pboxargslen}{\em f g \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1535 | <BLOCKQUOTE>
|
---|
| 1536 | Return the resultant of polynomials F and G.</BLOCKQUOTE><H4><A NAME="SECTION0001200850000000000000">
|
---|
| 1537 | <I>deg</I></A>
|
---|
| 1538 | </H4>
|
---|
| 1539 | <P><IMG WIDTH="587" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
---|
| 1540 | SRC="img209.gif"
|
---|
| 1541 | ALT="$\textstyle\parbox{\pboxargslen}{\em s \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1542 | <BLOCKQUOTE>
|
---|
| 1543 | </BLOCKQUOTE><H4><A NAME="SECTION0001200860000000000000">
|
---|
| 1544 | <I>lead</I></A>
|
---|
| 1545 | </H4>
|
---|
| 1546 | <P><IMG WIDTH="587" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
---|
| 1547 | SRC="img209.gif"
|
---|
| 1548 | ALT="$\textstyle\parbox{\pboxargslen}{\em s \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1549 | <BLOCKQUOTE>
|
---|
| 1550 | </BLOCKQUOTE><H4><A NAME="SECTION0001200870000000000000">
|
---|
| 1551 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1552 | -
|
---|
| 1553 | </MATH>discriminant</I></A>
|
---|
| 1554 | </H4>
|
---|
| 1555 | <P><IMG WIDTH="466" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1556 | SRC="img210.gif"
|
---|
| 1557 | ALT="$\textstyle\parbox{\pboxargslen}{\em p {\sf \&aux} (l (deg p)) \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1558 | <BLOCKQUOTE>
|
---|
| 1559 | The discriminant of a polynomial P.</BLOCKQUOTE><H4><A NAME="SECTION0001200880000000000000">
|
---|
| 1560 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1561 | -
|
---|
| 1562 | </MATH>print</I></A>
|
---|
| 1563 | </H4>
|
---|
| 1564 | <P><IMG WIDTH="518" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1565 | SRC="img211.gif"
|
---|
| 1566 | ALT="$\textstyle\parbox{\pboxargslen}{\em p vars {\sf \&optional} (stream t) (beg t) (p$-$orig p) \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1567 | <BLOCKQUOTE>
|
---|
| 1568 | </BLOCKQUOTE><H4><A NAME="SECTION0001200890000000000000">
|
---|
| 1569 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1570 | -
|
---|
| 1571 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 1572 | -
|
---|
| 1573 | </MATH>ratpoly</I></A>
|
---|
| 1574 | </H4>
|
---|
| 1575 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1576 | SRC="img80.gif"
|
---|
| 1577 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1578 | <BLOCKQUOTE>
|
---|
| 1579 | </BLOCKQUOTE><H4><A NAME="SECTION0001200900000000000000">
|
---|
| 1580 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1581 | -
|
---|
| 1582 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 1583 | -
|
---|
| 1584 | </MATH>poly1</I></A>
|
---|
| 1585 | </H4>
|
---|
| 1586 | <P><IMG WIDTH="505" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1587 | SRC="img212.gif"
|
---|
| 1588 | ALT="$\textstyle\parbox{\pboxargslen}{\em p {\sf \&aux} (htab (make$-$hash$-$table)) q \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1589 | <BLOCKQUOTE>
|
---|
| 1590 | </BLOCKQUOTE><H4><A NAME="SECTION0001200910000000000000">
|
---|
| 1591 | <I>poly1<MATH CLASS="INLINE">
|
---|
| 1592 | -
|
---|
| 1593 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 1594 | -
|
---|
| 1595 | </MATH>ratpoly</I></A>
|
---|
| 1596 | </H4>
|
---|
| 1597 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1598 | SRC="img80.gif"
|
---|
| 1599 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1600 | <BLOCKQUOTE>
|
---|
| 1601 | </BLOCKQUOTE><H4><A NAME="SECTION0001200920000000000000">
|
---|
| 1602 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1603 | -
|
---|
| 1604 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 1605 | -
|
---|
| 1606 | </MATH>poly1</I></A>
|
---|
| 1607 | </H4>
|
---|
| 1608 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1609 | SRC="img80.gif"
|
---|
| 1610 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1611 | <BLOCKQUOTE>
|
---|
| 1612 | Convert every coefficient of ratpoly to polynomial if possible</BLOCKQUOTE><H4><A NAME="SECTION0001200930000000000000">
|
---|
| 1613 | <I>poly1<MATH CLASS="INLINE">
|
---|
| 1614 | -
|
---|
| 1615 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 1616 | -
|
---|
| 1617 | </MATH>poly</I></A>
|
---|
| 1618 | </H4>
|
---|
| 1619 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1620 | SRC="img80.gif"
|
---|
| 1621 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1622 | <BLOCKQUOTE>
|
---|
| 1623 | Convert a ratpoly, whose coeffs have been converted to poly,
|
---|
| 1624 | into a poly structure, i.e. tack in powers of first variable.</BLOCKQUOTE><H4><A NAME="SECTION0001200940000000000000">
|
---|
| 1625 | <I>ratpoly<MATH CLASS="INLINE">
|
---|
| 1626 | -
|
---|
| 1627 | </MATH>to<MATH CLASS="INLINE">
|
---|
| 1628 | -
|
---|
| 1629 | </MATH>poly</I></A>
|
---|
| 1630 | </H4>
|
---|
| 1631 | <P><IMG WIDTH="538" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1632 | SRC="img80.gif"
|
---|
| 1633 | ALT="$\textstyle\parbox{\pboxargslen}{\em p \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1634 | <BLOCKQUOTE>
|
---|
| 1635 | </BLOCKQUOTE><H4><A NAME="SECTION0001200950000000000000">
|
---|
| 1636 | <I>poly<MATH CLASS="INLINE">
|
---|
| 1637 | -
|
---|
| 1638 | </MATH>resultant</I></A>
|
---|
| 1639 | </H4>
|
---|
| 1640 | <P><IMG WIDTH="469" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1641 | SRC="img187.gif"
|
---|
| 1642 | ALT="$\textstyle\parbox{\pboxargslen}{\em f g \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1643 | <BLOCKQUOTE>
|
---|
| 1644 | Calculate resultant of F and G given in poly i.e. alist
|
---|
| 1645 | representation. </BLOCKQUOTE><H4><A NAME="SECTION0001200960000000000000">
|
---|
| 1646 | <I>term*</I></A>
|
---|
| 1647 | </H4>
|
---|
| 1648 | <P><IMG WIDTH="571" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1649 | SRC="img213.gif"
|
---|
| 1650 | ALT="$\textstyle\parbox{\pboxargslen}{\em term1 term2 {\sf \&optional} (ring *coefficient$-$ring*) \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1651 | <BLOCKQUOTE>
|
---|
| 1652 | </BLOCKQUOTE><H4><A NAME="SECTION0001200970000000000000">
|
---|
| 1653 | <I>term/</I></A>
|
---|
| 1654 | </H4>
|
---|
| 1655 | <P><IMG WIDTH="571" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1656 | SRC="img213.gif"
|
---|
| 1657 | ALT="$\textstyle\parbox{\pboxargslen}{\em term1 term2 {\sf \&optional} (ring *coefficient$-$ring*) \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1658 | <BLOCKQUOTE>
|
---|
| 1659 | </BLOCKQUOTE><H4><A NAME="SECTION0001200980000000000000">
|
---|
| 1660 | <I>monom<MATH CLASS="INLINE">
|
---|
| 1661 | -
|
---|
| 1662 | </MATH>times<MATH CLASS="INLINE">
|
---|
| 1663 | -
|
---|
| 1664 | </MATH>term</I></A>
|
---|
| 1665 | </H4>
|
---|
| 1666 | <P><IMG WIDTH="465" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1667 | SRC="img214.gif"
|
---|
| 1668 | ALT="$\textstyle\parbox{\pboxargslen}{\em m term \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1669 | <BLOCKQUOTE>
|
---|
| 1670 | </BLOCKQUOTE><H4><A NAME="SECTION0001200990000000000000">
|
---|
| 1671 | <I>term<MATH CLASS="INLINE">
|
---|
| 1672 | -
|
---|
| 1673 | </MATH>divides<MATH CLASS="INLINE">
|
---|
| 1674 | -
|
---|
| 1675 | </MATH>p</I></A>
|
---|
| 1676 | </H4>
|
---|
| 1677 | <P><IMG WIDTH="498" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1678 | SRC="img215.gif"
|
---|
| 1679 | ALT="$\textstyle\parbox{\pboxargslen}{\em term1 term2 \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1680 | <BLOCKQUOTE>
|
---|
| 1681 | </BLOCKQUOTE><H4><A NAME="SECTION00012001000000000000000">
|
---|
| 1682 | <I>term<MATH CLASS="INLINE">
|
---|
| 1683 | -
|
---|
| 1684 | </MATH>monom</I></A>
|
---|
| 1685 | </H4>
|
---|
| 1686 | <P><IMG WIDTH="558" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1687 | SRC="img216.gif"
|
---|
| 1688 | ALT="$\textstyle\parbox{\pboxargslen}{\em term \/}$"> [<EM>MACRO</EM>]
|
---|
| 1689 | <BLOCKQUOTE>
|
---|
| 1690 | </BLOCKQUOTE><H4><A NAME="SECTION00012001010000000000000">
|
---|
| 1691 | <I>term<MATH CLASS="INLINE">
|
---|
| 1692 | -
|
---|
| 1693 | </MATH>coefficient</I></A>
|
---|
| 1694 | </H4>
|
---|
| 1695 | <P><IMG WIDTH="558" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1696 | SRC="img216.gif"
|
---|
| 1697 | ALT="$\textstyle\parbox{\pboxargslen}{\em term \/}$"> [<EM>MACRO</EM>]
|
---|
| 1698 | <BLOCKQUOTE>
|
---|
| 1699 | </BLOCKQUOTE><H4><A NAME="SECTION00012001020000000000000">
|
---|
| 1700 | <I>(setf term<MATH CLASS="INLINE">
|
---|
| 1701 | -
|
---|
| 1702 | </MATH>monom)</I></A>
|
---|
| 1703 | </H4>
|
---|
| 1704 | <P><IMG WIDTH="414" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
---|
| 1705 | SRC="img217.gif"
|
---|
| 1706 | ALT="$\textstyle\parbox{\pboxargslen}{\em monom \/}$"> [<EM>SETF MAPPING</EM>]
|
---|
| 1707 | <BLOCKQUOTE>
|
---|
| 1708 | </BLOCKQUOTE><H4><A NAME="SECTION00012001030000000000000">
|
---|
| 1709 | <I>(setf term<MATH CLASS="INLINE">
|
---|
| 1710 | -
|
---|
| 1711 | </MATH>coefficient)</I></A>
|
---|
| 1712 | </H4>
|
---|
| 1713 | <P><IMG WIDTH="395" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1714 | SRC="img218.gif"
|
---|
| 1715 | ALT="$\textstyle\parbox{\pboxargslen}{\em coefficient \/}$"> [<EM>SETF MAPPING</EM>]
|
---|
| 1716 | <BLOCKQUOTE>
|
---|
| 1717 | </BLOCKQUOTE><H4><A NAME="SECTION00012001040000000000000">
|
---|
| 1718 | <I>xgcd</I></A>
|
---|
| 1719 | </H4>
|
---|
| 1720 | <P><IMG WIDTH="580" HEIGHT="27" ALIGN="MIDDLE" BORDER="0"
|
---|
| 1721 | SRC="img219.gif"
|
---|
| 1722 | ALT="$\textstyle\parbox{\pboxargslen}{\em x y \/}$"> [<EM>FUNCTION</EM>]
|
---|
| 1723 | <BLOCKQUOTE>
|
---|
| 1724 | Extended gcd; the call
|
---|
| 1725 | (xgcd X Y)
|
---|
| 1726 | returns a multiple value list:
|
---|
| 1727 | <MATH CLASS="INLINE">
|
---|
| 1728 | -
|
---|
| 1729 | </MATH> GCD
|
---|
| 1730 | <MATH CLASS="INLINE">
|
---|
| 1731 | -
|
---|
| 1732 | </MATH> U,V such that they solve the equation
|
---|
| 1733 | GCD=U*X+V*Y
|
---|
| 1734 | <MATH CLASS="INLINE">
|
---|
| 1735 | -
|
---|
| 1736 | </MATH> U1,V1 such that
|
---|
| 1737 | LCM=U1*X=V1*Y (up to the sign).</BLOCKQUOTE>
|
---|
| 1738 | <P><HR>
|
---|
| 1739 | <!--Navigation Panel-->
|
---|
| 1740 | <A NAME="tex2html1094"
|
---|
| 1741 | HREF="node13.html">
|
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| 1742 | <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next_motif.gif"></A>
|
---|
| 1743 | <A NAME="tex2html1091"
|
---|
| 1744 | HREF="manual.html">
|
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| 1745 | <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up_motif.gif"></A>
|
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| 1746 | <A NAME="tex2html1085"
|
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| 1747 | HREF="node11.html">
|
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| 1748 | <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="previous_motif.gif"></A>
|
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| 1749 | <A NAME="tex2html1093"
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| 1750 | HREF="node1.html">
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| 1751 | <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents_motif.gif"></A>
|
---|
| 1752 | <BR>
|
---|
| 1753 | <B> Next:</B> <A NAME="tex2html1095"
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| 1754 | HREF="node13.html">All examples produced by</A>
|
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| 1755 | <B> Up:</B> <A NAME="tex2html1092"
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| 1756 | HREF="manual.html">CGBLisp User Guide and</A>
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| 1757 | <B> Previous:</B> <A NAME="tex2html1086"
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| 1758 | HREF="node11.html">The Parser Package</A>
|
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| 1759 | <!--End of Navigation Panel-->
|
---|
| 1760 | <ADDRESS>
|
---|
| 1761 | <I>Marek Rychlik</I>
|
---|
| 1762 | <BR><I>3/21/1998</I>
|
---|
| 1763 | </ADDRESS>
|
---|
| 1764 | </BODY>
|
---|
| 1765 | </HTML>
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