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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.Coalgebra.Incidence</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-Coalgebra-Incidence.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-3.1: Constructive abstract algebra</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>None</td></tr></table><p class="caption">Numeric.Coalgebra.Incidence</p></div><div id="synopsis"><p id="control.syn" class="caption expander" onclick="toggleSection('syn')">Synopsis</p><ul id="section.syn" class="hide" onclick="toggleSection('syn')"><li class="src short"><span class="keyword">data</span>  <a href="#t:Interval-39-">Interval'</a> a = <a href="#v:Interval-39-">Interval'</a> a a</li><li class="src short"><a href="#v:zeta-39-">zeta'</a> :: <a href="Numeric-Algebra-Unital.html#t:Unital">Unital</a> r =&gt; <a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a> a -&gt; r</li><li class="src short"><a href="#v:moebius-39-">moebius'</a> :: (<a href="Numeric-Ring-Class.html#t:Ring">Ring</a> r, <a href="Numeric-Order-LocallyFinite.html#t:LocallyFiniteOrder">LocallyFiniteOrder</a> a) =&gt; <a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a> a -&gt; r</li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">data</span>  <a name="t:Interval-39-" class="def">Interval'</a> a <a href="src/Numeric-Coalgebra-Incidence.html#Interval%27" class="link">Source</a></p><div class="doc"><p>the dual incidence algebra basis
</p></div><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a name="v:Interval-39-" class="def">Interval'</a> a a</td><td class="doc empty">&nbsp;</td></tr></table></div><div class="subs instances"><p id="control.i:Interval-39-" class="caption collapser" onclick="toggleSection('i:Interval-39-')">Instances</p><div id="section.i:Interval-39-" class="show"><table><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Typeable-Internal.html#t:Typeable1">Typeable1</a> <a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> a, <a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> r) =&gt; <a href="Numeric-Algebra-Class.html#t:Coalgebra">Coalgebra</a> r (<a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a> a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> a, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#t:Bounded">Bounded</a> a, <a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r, <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> r) =&gt; <a href="Numeric-Algebra-Unital.html#t:CounitalCoalgebra">CounitalCoalgebra</a> r (<a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a> a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> a =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> (<a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a> a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Data.html#t:Data">Data</a> a =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Data.html#t:Data">Data</a> (<a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a> a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> a =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> (<a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a> a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Read.html#t:Read">Read</a> a =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Read.html#t:Read">Read</a> (<a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a> a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> a =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> (<a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a> a)</td><td class="doc empty">&nbsp;</td></tr></table></div></div></div><div class="top"><p class="src"><a name="v:zeta-39-" class="def">zeta'</a> :: <a href="Numeric-Algebra-Unital.html#t:Unital">Unital</a> r =&gt; <a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a> a -&gt; r<a href="src/Numeric-Coalgebra-Incidence.html#zeta%27" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:moebius-39-" class="def">moebius'</a> :: (<a href="Numeric-Ring-Class.html#t:Ring">Ring</a> r, <a href="Numeric-Order-LocallyFinite.html#t:LocallyFiniteOrder">LocallyFiniteOrder</a> a) =&gt; <a href="Numeric-Coalgebra-Incidence.html#t:Interval-39-">Interval'</a> a -&gt; r<a href="src/Numeric-Coalgebra-Incidence.html#moebius%27" class="link">Source</a></p></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.13.2</p></div></body></html>