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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>Numeric.Algebra.Hyperbolic</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
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</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Numeric-Algebra-Hyperbolic.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">algebra-2.0.7: Constructive abstract algebra</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>Safe-Infered</td></tr></table><p class="caption">Numeric.Algebra.Hyperbolic</p></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">class</span>  <a name="t:Hyperbolic" class="def">Hyperbolic</a> r  <span class="keyword">where</span><a href="src/Numeric-Coalgebra-Hyperbolic-Class.html#Hyperbolic" class="link">Source</a></p><div class="subs methods"><p class="caption">Methods</p><p class="src"><a name="v:cosh" class="def">cosh</a> :: r<a href="src/Numeric-Coalgebra-Hyperbolic-Class.html#cosh" class="link">Source</a></p><p class="src"><a name="v:sinh" class="def">sinh</a> :: r<a href="src/Numeric-Coalgebra-Hyperbolic-Class.html#sinh" class="link">Source</a></p></div><div class="subs instances"><p id="control.i:Hyperbolic" class="caption collapser" onclick="toggleSection('i:Hyperbolic')">Instances</p><div id="section.i:Hyperbolic" class="show"><table><tr><td class="src"><a href="Numeric-Algebra-Hyperbolic.html#t:Hyperbolic">Hyperbolic</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Algebra-Hyperbolic.html#t:Hyperbolic">Hyperbolic</a> <a href="Numeric-Coalgebra-Hyperbolic.html#t:HyperBasis">HyperBasis</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r =&gt; <a href="Numeric-Algebra-Hyperbolic.html#t:Hyperbolic">Hyperbolic</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r =&gt; <a href="Numeric-Algebra-Hyperbolic.html#t:Hyperbolic">Hyperbolic</a> (<a href="Numeric-Coalgebra-Hyperbolic.html#t:Hyper">Hyper</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r =&gt; <a href="Numeric-Algebra-Hyperbolic.html#t:Hyperbolic">Hyperbolic</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a> -&gt; r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r =&gt; <a href="Numeric-Algebra-Hyperbolic.html#t:Hyperbolic">Hyperbolic</a> (<a href="Numeric-Coalgebra-Hyperbolic.html#t:HyperBasis">HyperBasis</a> -&gt; r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Algebra-Hyperbolic.html#t:Hyperbolic">Hyperbolic</a> a =&gt; <a href="Numeric-Algebra-Hyperbolic.html#t:Hyperbolic">Hyperbolic</a> (<a href="Numeric-Covector.html#t:Covector">Covector</a> r a)</td><td class="doc empty">&nbsp;</td></tr></table></div></div></div><div class="top"><p class="src"><span class="keyword">data</span>  <a name="t:HyperBasis-39-" class="def">HyperBasis'</a>  <a href="src/Numeric-Algebra-Hyperbolic.html#HyperBasis%27" class="link">Source</a></p><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a name="v:Cosh-39-" class="def">Cosh'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a name="v:Sinh-39-" class="def">Sinh'</a></td><td class="doc empty">&nbsp;</td></tr></table></div><div class="subs instances"><p id="control.i:HyperBasis-39-" class="caption collapser" onclick="toggleSection('i:HyperBasis-39-')">Instances</p><div id="section.i:HyperBasis-39-" class="show"><table><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Prelude.html#t:Bounded">Bounded</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Prelude.html#t:Enum">Enum</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Eq.html#t:Eq">Eq</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Data.html#t:Data">Data</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Ord.html#t:Ord">Ord</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Text-Read.html#t:Read">Read</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Text-Show.html#t:Show">Show</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Ix.html#t:Ix">Ix</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Typeable-Internal.html#t:Typeable">Typeable</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-representable-tries-doc/html/Data-Functor-Representable-Trie.html#t:HasTrie">HasTrie</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Algebra-Hyperbolic.html#t:Hyperbolic">Hyperbolic</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-mtl-doc/html/Control-Monad-Reader-Class.html#t:MonadReader">MonadReader</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> k, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> k) =&gt; <a href="Numeric-Algebra-Class.html#t:Coalgebra">Coalgebra</a> k <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> k) =&gt; <a href="Numeric-Algebra-Class.html#t:Algebra">Algebra</a> k <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> k, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> k) =&gt; <a href="Numeric-Algebra-Unital.html#t:Bialgebra">Bialgebra</a> k <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> k, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> k) =&gt; <a href="Numeric-Algebra-Unital.html#t:CounitalCoalgebra">CounitalCoalgebra</a> k <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> k, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> k) =&gt; <a href="Numeric-Algebra-Unital.html#t:UnitalAlgebra">UnitalAlgebra</a> k <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Additive-Group.html#t:Group">Group</a> k, <a href="Numeric-Algebra-Involutive.html#t:InvolutiveSemiring">InvolutiveSemiring</a> k) =&gt; <a href="Numeric-Algebra-Hopf.html#t:HopfAlgebra">HopfAlgebra</a> k <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Additive-Group.html#t:Group">Group</a> k, <a href="Numeric-Algebra-Involutive.html#t:InvolutiveSemiring">InvolutiveSemiring</a> k) =&gt; <a href="Numeric-Algebra-Involutive.html#t:InvolutiveCoalgebra">InvolutiveCoalgebra</a> k <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Additive-Group.html#t:Group">Group</a> k, <a href="Numeric-Algebra-Involutive.html#t:InvolutiveSemiring">InvolutiveSemiring</a> k) =&gt; <a href="Numeric-Algebra-Involutive.html#t:InvolutiveAlgebra">InvolutiveAlgebra</a> k <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r =&gt; <a href="Numeric-Algebra-Hyperbolic.html#t:Hyperbolic">Hyperbolic</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a> -&gt; r)</td><td class="doc empty">&nbsp;</td></tr></table></div></div></div><div class="top"><p class="src"><span class="keyword">data</span>  <a name="t:Hyper-39-" class="def">Hyper'</a> a <a href="src/Numeric-Algebra-Hyperbolic.html#Hyper%27" class="link">Source</a></p><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a name="v:Hyper-39-" class="def">Hyper'</a> a a</td><td class="doc empty">&nbsp;</td></tr></table></div><div class="subs instances"><p id="control.i:Hyper-39-" class="caption collapser" onclick="toggleSection('i:Hyper-39-')">Instances</p><div id="section.i:Hyper-39-" class="show"><table><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Control-Monad.html#t:Monad">Monad</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Control-Monad.html#t:Functor">Functor</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Typeable-Internal.html#t:Typeable1">Typeable1</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Control-Applicative.html#t:Applicative">Applicative</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Foldable.html#t:Foldable">Foldable</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Traversable.html#t:Traversable">Traversable</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-distributive-doc/html/Data-Distributive.html#t:Distributive">Distributive</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-keys-doc/html/Data-Key.html#t:Keyed">Keyed</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-keys-doc/html/Data-Key.html#t:Zip">Zip</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-keys-doc/html/Data-Key.html#t:ZipWithKey">ZipWithKey</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-keys-doc/html/Data-Key.html#t:Indexable">Indexable</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-keys-doc/html/Data-Key.html#t:Lookup">Lookup</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-keys-doc/html/Data-Key.html#t:Adjustable">Adjustable</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-keys-doc/html/Data-Key.html#t:FoldableWithKey">FoldableWithKey</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-keys-doc/html/Data-Key.html#t:FoldableWithKey1">FoldableWithKey1</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-keys-doc/html/Data-Key.html#t:TraversableWithKey">TraversableWithKey</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-keys-doc/html/Data-Key.html#t:TraversableWithKey1">TraversableWithKey1</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-representable-functors-doc/html/Data-Functor-Representable.html#t:Representable">Representable</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-semigroupoids-doc/html/Data-Semigroup-Traversable.html#t:Traversable1">Traversable1</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-semigroupoids-doc/html/Data-Semigroup-Foldable.html#t:Foldable1">Foldable1</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-semigroupoids-doc/html/Data-Functor-Bind.html#t:Apply">Apply</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-semigroupoids-doc/html/Data-Functor-Bind.html#t:Bind">Bind</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-mtl-doc/html/Control-Monad-Reader-Class.html#t:MonadReader">MonadReader</a> <a href="Numeric-Algebra-Hyperbolic.html#t:HyperBasis-39-">HyperBasis'</a> <a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Algebra-Class.html#t:RightModule">RightModule</a> r s =&gt; <a href="Numeric-Algebra-Class.html#t:RightModule">RightModule</a> r (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> s)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Algebra-Class.html#t:LeftModule">LeftModule</a> r s =&gt; <a href="Numeric-Algebra-Class.html#t:LeftModule">LeftModule</a> r (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> s)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Algebra-Involutive.html#t:InvolutiveSemiring">InvolutiveSemiring</a> r, <a href="Numeric-Rng-Class.html#t:Rng">Rng</a> r) =&gt; <a href="Numeric-Quadrance-Class.html#t:Quadrance">Quadrance</a> r (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Eq.html#t:Eq">Eq</a> a =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Eq.html#t:Eq">Eq</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Data.html#t:Data">Data</a> a =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Data.html#t:Data">Data</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Text-Read.html#t:Read">Read</a> a =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Text-Read.html#t:Read">Read</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Text-Show.html#t:Show">Show</a> a =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Text-Show.html#t:Show">Show</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Additive-Class.html#t:Idempotent">Idempotent</a> r =&gt; <a href="Numeric-Additive-Class.html#t:Idempotent">Idempotent</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Additive-Class.html#t:Abelian">Abelian</a> r =&gt; <a href="Numeric-Additive-Class.html#t:Abelian">Abelian</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Additive-Class.html#t:Partitionable">Partitionable</a> r =&gt; <a href="Numeric-Additive-Class.html#t:Partitionable">Partitionable</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Additive-Class.html#t:Additive">Additive</a> r =&gt; <a href="Numeric-Additive-Class.html#t:Additive">Additive</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r =&gt; <a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> k) =&gt; <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> k)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> k) =&gt; <a href="Numeric-Algebra-Class.html#t:Multiplicative">Multiplicative</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> k)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Additive-Group.html#t:Group">Group</a> r =&gt; <a href="Numeric-Additive-Group.html#t:Group">Group</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> k) =&gt; <a href="Numeric-Algebra-Unital.html#t:Unital">Unital</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> k)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Algebra-Involutive.html#t:InvolutiveSemiring">InvolutiveSemiring</a> r, <a href="Numeric-Ring-Division.html#t:DivisionRing">DivisionRing</a> r) =&gt; <a href="Numeric-Algebra-Division.html#t:Division">Division</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Ring-Class.html#t:Ring">Ring</a> r) =&gt; <a href="Numeric-Ring-Class.html#t:Ring">Ring</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> k, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> k) =&gt; <a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> k)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Algebra-Involutive.html#t:InvolutiveSemiring">InvolutiveSemiring</a> r, <a href="Numeric-Rng-Class.html#t:Rng">Rng</a> r) =&gt; <a href="Numeric-Algebra-Involutive.html#t:InvolutiveSemiring">InvolutiveSemiring</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Algebra-Involutive.html#t:InvolutiveSemiring">InvolutiveSemiring</a> r, <a href="Numeric-Rng-Class.html#t:Rng">Rng</a> r) =&gt; <a href="Numeric-Algebra-Involutive.html#t:InvolutiveMultiplication">InvolutiveMultiplication</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r =&gt; <a href="Numeric-Algebra-Hyperbolic.html#t:Hyperbolic">Hyperbolic</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> r) =&gt; <a href="Numeric-Algebra-Class.html#t:RightModule">RightModule</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r) (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> r) =&gt; <a href="Numeric-Algebra-Class.html#t:LeftModule">LeftModule</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r) (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc 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