X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/25ce908cffca380f930182a77c1e5a4491042a1c..5eca735504be3b7c301e2a1fa37712eb88b4ec64:/doc/polyhedra.rst

diff --git a/doc/polyhedra.rst b/doc/polyhedra.rst
index fd09b90..de0dfd5 100644
--- a/doc/polyhedra.rst
+++ b/doc/polyhedra.rst
@@ -3,59 +3,56 @@ Polyhedra Module
 
 .. py:class:: Polyhedron
 
-Polyhedra Properties
---------------------
+    Polyhedron class allows users to build and inspect polyherons.  The following methods provide the properties of a polyhedron. 
 
     .. py:method:: equalities(self)
     
-        Return a list of the equalities in a set.
+        Return a list of the equalities in a polyhedron.
         
     .. py:method:: inequalities(self)
     
-        Return a list of the inequalities in a set.
+        Return a list of the inequalities in a polyhedron.
 
     .. py:method:: constraints(self)
     
-        Return ta list of the constraints of a set.
+        Return ta list of the constraints of a polyhedron.
 
-Unary Operations
-----------------
+    The following unary operations can be used to inspect a polyhedron.
+    
     .. py:method:: disjoint(self)
     
-        Returns this set as a disjoint set.
+        Returns a polyhedron as a disjoint.
                
     .. py:method:: isuniverse(self)
     
-        Return true if this set is the Universe set.    
-
-    .. py:method:: aspolyhedron(self)
-    
-        Return polyhedral hull of this set.
+        Return ``True`` if a polyhedron is the Universe set.    
 
     .. py:method:: subs(self, symbol, expression=None)
     
-        Subsitute expression into given set and returns the result.      
-        
-    .. py:method:: Lt(left, right)
-    
-        Assert first set is less than the second set.     
-        
-    .. py:method:: Le(left, right)
-    
-        Assert first set is less than or equal to the second set.
+        Subsitutes an expression into a polyhedron and returns the result.      
+
+To create a polyhedron, the user must use the folloing functions to define  equalities and inequalities as the contraints.
+   
+.. py:function:: Eq(left, right)
+   
+   Create a constraint by setting *left* equal to *right*.         
         
-    .. py:method:: Eq(left, right)
+.. py:function:: Ne(left, right)
+
+    Create a constraint by setting *left* not equal to *right*.
+            
+.. py:function:: Lt(left, right)
     
-        Assert first set is equal to the second set.         
+   Create a constraint by setting *left* less than *right*. 
         
-    .. py:method:: Ne(left, right)
+.. py:function:: Le(left, right)
     
-        Assert first set is not equal to the second set.          
+   Create a constraint by setting *left* less than or equal to *right*.     
         
-    .. py:method:: Gt(left, right)
+.. py:function:: Gt(left, right)
     
-        Assert first set is greater than the second set.        
+   Create a constraint by setting *left* greater than *right*.        
 
-    .. py:method:: Ge(left, right)
+.. py:function:: Ge(left, right)
     
-        Assert first set is greater than or equal to the second set. 
+   Create a constraint by setting *left* greater than or equal to *right*.