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</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Math-Algebras-LaurentPoly.html">Source</a></li><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">HaskellForMaths-0.4.8: Combinatorics, group theory, commutative algebra, non-commutative algebra</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>None</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Math.Algebras.LaurentPoly</p></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">data</span> <a id="t:LaurentMonomial" class="def">LaurentMonomial</a> <a href="src/Math-Algebras-LaurentPoly.html#LaurentMonomial" class="link">Source</a> <a href="#t:LaurentMonomial" class="selflink">#</a></p><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a id="v:LM" class="def">LM</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Int.html#t:Int">Int</a> [(<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Int.html#t:Int">Int</a>)]</td><td class="doc empty"> </td></tr></table></div><div class="subs instances"><p id="control.i:LaurentMonomial" class="caption collapser" onclick="toggleSection('i:LaurentMonomial')">Instances</p><div id="section.i:LaurentMonomial" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Eq:1" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Eq:1')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Eq.html#t:Eq">Eq</a> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a></span> <a href="src/Math-Algebras-LaurentPoly.html#line-21" class="link">Source</a> <a href="#t:LaurentMonomial" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Eq:1" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:-61--61-">(==)</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Bool.html#t:Bool">Bool</a> <a href="#v:-61--61-" class="selflink">#</a></p><p class="src"><a href="#v:-47--61-">(/=)</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Bool.html#t:Bool">Bool</a> <a href="#v:-47--61-" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Ord:2" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Ord:2')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Ord.html#t:Ord">Ord</a> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a></span> <a href="src/Math-Algebras-LaurentPoly.html#line-21" class="link">Source</a> <a href="#t:LaurentMonomial" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Ord:2" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:compare">compare</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Ord.html#t:Ordering">Ordering</a> <a href="#v:compare" class="selflink">#</a></p><p class="src"><a href="#v:-60-">(<)</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Bool.html#t:Bool">Bool</a> <a href="#v:-60-" class="selflink">#</a></p><p class="src"><a href="#v:-60--61-">(<=)</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Bool.html#t:Bool">Bool</a> <a href="#v:-60--61-" class="selflink">#</a></p><p class="src"><a href="#v:-62-">(>)</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Bool.html#t:Bool">Bool</a> <a href="#v:-62-" class="selflink">#</a></p><p class="src"><a href="#v:-62--61-">(>=)</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Bool.html#t:Bool">Bool</a> <a href="#v:-62--61-" class="selflink">#</a></p><p class="src"><a href="#v:max">max</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> <a href="#v:max" class="selflink">#</a></p><p class="src"><a href="#v:min">min</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> <a href="#v:min" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Show:3" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Show:3')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Text-Show.html#t:Show">Show</a> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a></span> <a href="src/Math-Algebras-LaurentPoly.html#line-26" class="link">Source</a> <a href="#t:LaurentMonomial" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Show:3" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:showsPrec">showsPrec</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Int.html#t:Int">Int</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Text-Show.html#t:ShowS">ShowS</a> <a href="#v:showsPrec" class="selflink">#</a></p><p class="src"><a href="#v:show">show</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a> <a href="#v:show" class="selflink">#</a></p><p class="src"><a href="#v:showList">showList</a> :: [<a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a>] -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Text-Show.html#t:ShowS">ShowS</a> <a href="#v:showList" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Mon:4" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Mon:4')"></span> <a href="Math-Algebras-Structures.html#t:Mon">Mon</a> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a></span> <a href="src/Math-Algebras-LaurentPoly.html#line-30" class="link">Source</a> <a href="#t:LaurentMonomial" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Mon:4" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:munit">munit</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> <a href="src/Math-Algebras-Structures.html#munit" class="link">Source</a> <a href="#v:munit" class="selflink">#</a></p><p class="src"><a href="#v:mmult">mmult</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> <a href="src/Math-Algebras-Structures.html#mmult" class="link">Source</a> <a href="#v:mmult" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Algebra:5" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Algebra:5')"></span> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Eq.html#t:Eq">Eq</a> k, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Prelude.html#t:Num">Num</a> k) => <a href="Math-Algebras-Structures.html#t:Algebra">Algebra</a> k <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a></span> <a href="src/Math-Algebras-LaurentPoly.html#line-34" class="link">Source</a> <a href="#t:LaurentMonomial" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Algebra:5" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:unit">unit</a> :: k -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> k <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> <a href="src/Math-Algebras-Structures.html#unit" class="link">Source</a> <a href="#v:unit" class="selflink">#</a></p><p class="src"><a href="#v:mult">mult</a> :: <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> k (<a href="Math-Algebras-TensorProduct.html#t:Tensor">Tensor</a> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a>) -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> k <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> <a href="src/Math-Algebras-Structures.html#mult" class="link">Source</a> <a href="#v:mult" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Fractional:6" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Fractional:6')"></span> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Eq.html#t:Eq">Eq</a> k, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Prelude.html#t:Fractional">Fractional</a> k) => <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Prelude.html#t:Fractional">Fractional</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> k)</span> <a href="src/Math-Algebras-LaurentPoly.html#line-52" class="link">Source</a> <a href="#t:LaurentMonomial" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Fractional:6" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:-47-">(/)</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> k -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> k -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> k <a href="#v:-47-" class="selflink">#</a></p><p class="src"><a href="#v:recip">recip</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> k -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> k <a href="#v:recip" class="selflink">#</a></p><p class="src"><a href="#v:fromRational">fromRational</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Prelude.html#t:Rational">Rational</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> k <a href="#v:fromRational" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:HopfAlgebra:7" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:HopfAlgebra:7')"></span> <a href="Math-Algebras-Structures.html#t:HopfAlgebra">HopfAlgebra</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)</span> <a href="src/Math-Algebras-Structures.html#line-215" class="link">Source</a> <a href="#t:HopfAlgebra" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:HopfAlgebra:7" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:antipode">antipode</a> :: <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) <a href="src/Math-Algebras-Structures.html#antipode" class="link">Source</a> <a href="#v:antipode" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Bialgebra:8" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Bialgebra:8')"></span> <a href="Math-Algebras-Structures.html#t:Bialgebra">Bialgebra</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)</span> <a href="src/Math-Algebras-Structures.html#line-212" class="link">Source</a> <a href="#t:Bialgebra" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Bialgebra:8" class="inst-details hide"></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Bialgebra:9" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Bialgebra:9')"></span> <a href="Math-Algebras-Structures.html#t:Bialgebra">Bialgebra</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)</span> <a href="src/Math-Algebras-Structures.html#line-124" class="link">Source</a> <a href="#t:Bialgebra" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Bialgebra:9" class="inst-details hide"></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Coalgebra:10" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Coalgebra:10')"></span> <a href="Math-Algebras-Structures.html#t:Coalgebra">Coalgebra</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)</span> <a href="src/Math-Algebras-Structures.html#line-198" class="link">Source</a> <a href="#t:Coalgebra" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Coalgebra:10" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:counit">counit</a> :: <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a> <a href="src/Math-Algebras-Structures.html#counit" class="link">Source</a> <a href="#v:counit" class="selflink">#</a></p><p class="src"><a href="#v:comult">comult</a> :: <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-Algebras-TensorProduct.html#t:Tensor">Tensor</a> (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)) <a href="src/Math-Algebras-Structures.html#comult" class="link">Source</a> <a href="#v:comult" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Coalgebra:11" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Coalgebra:11')"></span> <a href="Math-Algebras-Structures.html#t:Coalgebra">Coalgebra</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)</span> <a href="src/Math-Algebras-Structures.html#line-110" class="link">Source</a> <a href="#t:Coalgebra" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Coalgebra:11" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:counit">counit</a> :: <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a> <a href="src/Math-Algebras-Structures.html#counit" class="link">Source</a> <a href="#v:counit" class="selflink">#</a></p><p class="src"><a href="#v:comult">comult</a> :: <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-Algebras-TensorProduct.html#t:Tensor">Tensor</a> (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)) <a href="src/Math-Algebras-Structures.html#comult" class="link">Source</a> <a href="#v:comult" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Algebra:12" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Algebra:12')"></span> <a href="Math-Algebras-Structures.html#t:Algebra">Algebra</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)</span> <a href="src/Math-Algebras-Structures.html#line-190" class="link">Source</a> <a href="#t:Algebra" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Algebra:12" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:unit">unit</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a> -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) <a href="src/Math-Algebras-Structures.html#unit" class="link">Source</a> <a href="#v:unit" class="selflink">#</a></p><p class="src"><a href="#v:mult">mult</a> :: <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-Algebras-TensorProduct.html#t:Tensor">Tensor</a> (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)) -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:SL2q">SL2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) <a href="src/Math-Algebras-Structures.html#mult" class="link">Source</a> <a href="#v:mult" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Algebra:13" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Algebra:13')"></span> <a href="Math-Algebras-Structures.html#t:Algebra">Algebra</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)</span> <a href="src/Math-Algebras-Structures.html#line-101" class="link">Source</a> <a href="#t:Algebra" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Algebra:13" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:unit">unit</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a> -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) <a href="src/Math-Algebras-Structures.html#unit" class="link">Source</a> <a href="#v:unit" class="selflink">#</a></p><p class="src"><a href="#v:mult">mult</a> :: <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-Algebras-TensorProduct.html#t:Tensor">Tensor</a> (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)) -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) <a href="src/Math-Algebras-Structures.html#mult" class="link">Source</a> <a href="#v:mult" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Algebra:14" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Algebra:14')"></span> <a href="Math-Algebras-Structures.html#t:Algebra">Algebra</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq02">Aq02</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)</span> <a href="src/Math-Algebras-Structures.html#line-77" class="link">Source</a> <a href="#t:Algebra" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Algebra:14" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:unit">unit</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a> -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq02">Aq02</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) <a href="src/Math-Algebras-Structures.html#unit" class="link">Source</a> <a href="#v:unit" class="selflink">#</a></p><p class="src"><a href="#v:mult">mult</a> :: <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-Algebras-TensorProduct.html#t:Tensor">Tensor</a> (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq02">Aq02</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq02">Aq02</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)) -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq02">Aq02</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) <a href="src/Math-Algebras-Structures.html#mult" class="link">Source</a> <a href="#v:mult" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Algebra:15" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Algebra:15')"></span> <a href="Math-Algebras-Structures.html#t:Algebra">Algebra</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq20">Aq20</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)</span> <a href="src/Math-Algebras-Structures.html#line-55" class="link">Source</a> <a href="#t:Algebra" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Algebra:15" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:unit">unit</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a> -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq20">Aq20</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) <a href="src/Math-Algebras-Structures.html#unit" class="link">Source</a> <a href="#v:unit" class="selflink">#</a></p><p class="src"><a href="#v:mult">mult</a> :: <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-Algebras-TensorProduct.html#t:Tensor">Tensor</a> (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq20">Aq20</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq20">Aq20</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)) -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq20">Aq20</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) <a href="src/Math-Algebras-Structures.html#mult" class="link">Source</a> <a href="#v:mult" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:LaurentMonomial:Comodule:16" class="instance expander" onclick="toggleSection('i:id:LaurentMonomial:Comodule:16')"></span> <a href="Math-Algebras-Structures.html#t:Comodule">Comodule</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq20">Aq20</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)</span> <a href="src/Math-Algebras-Structures.html#line-164" class="link">Source</a> <a href="#t:Comodule" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:id:LaurentMonomial:Comodule:16" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:coaction">coaction</a> :: <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq20">Aq20</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) -> <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> (<a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a>) (<a href="Math-Algebras-TensorProduct.html#t:Tensor">Tensor</a> (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:M2q">M2q</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>) (<a href="Math-QuantumAlgebra-QuantumPlane.html#t:Aq20">Aq20</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a>)) <a href="src/Math-Algebras-Structures.html#coaction" class="link">Source</a> <a href="#v:coaction" class="selflink">#</a></p></div></div></td></tr></table></div></div></div><div class="top"><p class="src"><span class="keyword">type</span> <a id="t:LaurentPoly" class="def">LaurentPoly</a> k = <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> k <a href="Math-Algebras-LaurentPoly.html#t:LaurentMonomial">LaurentMonomial</a> <a href="src/Math-Algebras-LaurentPoly.html#LaurentPoly" class="link">Source</a> <a href="#t:LaurentPoly" class="selflink">#</a></p></div><div class="top"><p class="src"><a id="v:lvar" class="def">lvar</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-String.html#t:String">String</a> -> <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a> <a href="src/Math-Algebras-LaurentPoly.html#lvar" class="link">Source</a> <a href="#v:lvar" class="selflink">#</a></p></div><div class="top"><p class="src"><a id="v:q" class="def">q</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a> <a href="src/Math-Algebras-LaurentPoly.html#q" class="link">Source</a> <a href="#v:q" class="selflink">#</a></p></div><div class="top"><p class="src"><a id="v:q-39-" class="def">q'</a> :: <a href="Math-Algebras-LaurentPoly.html#t:LaurentPoly">LaurentPoly</a> <a href="Math-Algebra-Field-Base.html#t:Q">Q</a> <a href="src/Math-Algebras-LaurentPoly.html#q%27" class="link">Source</a> <a href="#v:q-39-" class="selflink">#</a></p></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.17.3</p></div></body></html>
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