Better initialization of Rational

[linpy.git] / doc / domain.rst

diff --git a/doc/domain.rst b/doc/domain.rst
index 217acba..91b96f8 100644 (file)
--- a/doc/domain.rst
+++ b/doc/domain.rst
@@ -9,132 +9,127 @@ Domains Module
         
 Domain Properties
 -----------------
         
 Domain Properties
 -----------------

-    .. py:method:: symbols(self)
+    .. py:method:: symbols

     
     

-        Returns a list of the symbols used in a set.
+        Returns a tuple of the symbols that exsist in a domain.

 
 

-    .. py:method:: dimension(self)
+    .. py:method:: dimension

     
     

-        Returns the number of variables in a set.
+        Returns the number of variables that exist in a domain.

 
 

-    .. py:method:: disjoint(self)
+    .. py:method:: disjoint

     
     

-        Returns a set as disjoint.
+        Returns a domain as disjoint.

         
         

-    .. py:method:: num_parameters(self)    
+    .. py:method:: num_parameters   

         
         

-        Returns the total number of parameters, input, output or set dimensions.
+        Returns the total number of parameters, input, output or dimensions in a domain.

         
     .. py:method:: involves_dims(self, dims)
     
         
     .. py:method:: involves_dims(self, dims)
     

-       Returns true if set depends on given dimensions. 
+       Returns ``True`` if a domain depends on the given dimensions. 

         
 Unary Properties
 ----------------
     .. py:method:: isempty(self)
     
         
 Unary Properties
 ----------------
     .. py:method:: isempty(self)
     

-        Return true is set is an Empty set.
+        Return ``True`` is a domain is empty.

         
     .. py:method:: isuniverse(self)
     
         
     .. py:method:: isuniverse(self)
     

-        Return true if set is the Universe set.
+        Return ``True`` if a domain is the Universe set.

                 
     .. py:method:: isbounded(self)
     
                 
     .. py:method:: isbounded(self)
     

-        Return true if set is bounded
+        Return ``True`` if a domain is bounded

 
     .. py:method:: disjoint(self)
     
 
     .. py:method:: disjoint(self)
     

-        Returns this set as a disjoint set.
+        Returns a domain as disjoint.

 
 Binary Properties
 -----------------
 
     .. py:method:: isdisjoint(self, other)
     
 
 Binary Properties
 -----------------
 
     .. py:method:: isdisjoint(self, other)
     

-        Return true if the intersection of two sets results in an Empty set.
+        Return ``True`` if the intersection of *self* and *other* results in an empty set.

         
     .. py:method:: issubset(self, other)
     
         
     .. py:method:: issubset(self, other)
     

-        Returns true if one set contains the other set.
+        Test whether every element in a domain is in *other*.

 
     .. py:method:: __eq__(self, other)
 
     .. py:method:: __eq__(self, other)

-    
-        Return true if self == other.  
+                   self == other
+                   
+        Test whether a domain is equal to *other*.  

         
     .. py:method:: __lt__(self, other)
         
     .. py:method:: __lt__(self, other)

-    
-        Return true if self < other.  
+                   self < other
+                   
+        Test whether a domain is a strict subset of *other*. 

         
     .. py:method:: __le__(self, other)
         
     .. py:method:: __le__(self, other)

-    
-        Return true if self <= other.  
+                   self <= other
+                   
+        Test whether every element in a domain is in *other*.  

          
     .. py:method:: __gt__(self, other)
          
     .. py:method:: __gt__(self, other)

-    
-        Return true if self > other.  
+                   self > other
+                   
+        Test whether a domain is a strict superset of *other*. 

                 
     .. py:method:: __ge__(self, other)
                 
     .. py:method:: __ge__(self, other)

+                   self >= other

     
     

-        Return true if self >= other.  
+       Test whether every element in *other* is in a domain.

         
 
         
 

-Unary Operations
-----------------
+    The following methods implement unary operations on a domain. 

 
     .. py:method:: complement(self)
 
     .. py:method:: complement(self)

+                   ¬self

     
     

-        Return the complement of a set.       
+        Return the complement of a domain.       

         
     .. py:method:: simplify(self)
 
         
     .. py:method:: simplify(self)
 

-        Removes redundant constraints from a set.        
+        Return a new domain without any redundant constraints.

 
     .. py:method:: project(self, dims)
     
 
     .. py:method:: project(self, dims)
     

-        Return a new set with the given dimensions removed.
+        Return a new domain with the given dimensions removed.

 
     .. py:method:: aspolyhedron(self)
     
 
     .. py:method:: aspolyhedron(self)
     

-        Return polyhedral hull of a set.        
+        Return polyhedral hull of a domain.        

         
         

-    .. py:method:: asdomain(self)
-    
-        Return 
-

     .. py:method:: sample(self)
     
     .. py:method:: sample(self)
     

-        Return a single sample subset of a set.
+        Return a single sample subset of a domain.

 
 

-Binary Operations
------------------
+    The following methods implement binary operations on two domains. 

 
 

-    .. py:method:: intersection(self)
+    .. py:method:: intersection(self, other)
+                   self | other

     
     

-        Return the intersection of two sets as a new set.         
+        Return a new domain with the elements that are common between *self* and *other*.         

 
 

-    .. py:method:: union(self)
+    .. py:method:: union(self, other)
+                   self & other

     
     

-        Return the union of two sets as a new set.
-
-    .. py:method:: __and__(self, other)
-    
-        Return the union of two sets as a new set.        
-        
-    .. py:method:: __or__(self, other)
+        Return a new domain with all the elements from *self* and *other*.   
+            
+    .. py:method:: difference(self, other)
+                   self - other

     
     

-        Return the intersection of two sets as a new set.         
-        
+        Return a new domain with the elements in a domain that are not in *other* .     
+              

     .. py:method:: __add__(self, other)
     .. py:method:: __add__(self, other)

+                   self + other

     
     

-        Return the sum of two sets. 
-
-    .. py:method:: difference(self, other)
-    
-        Return the difference of two sets.         
-
-Lexiographic Operations
------------------------
+        Return the sum of two domains. 
+   
+    The following methods use lexicographical ordering to find the maximum or minimum element in a domain.

 
     .. py:method:: lexmin(self)
     
 
     .. py:method:: lexmin(self)
     


@@ -144,24 +139,24 @@ Lexiographic Operations
     
         Return a new set containing the lexicographic maximum of the elements in the set.       
         
     
         Return a new set containing the lexicographic maximum of the elements in the set.       
         

-Plot Properties
----------------
+
+    A 2D or 3D domain can be plotted using the :meth:`plot` function. The points, verticies, and faces of a domain can be inspected using the following functions. 

 
     .. py:method:: points(self)
     
 
     .. py:method:: points(self)
     

-        Return a list of the points contained in a set.
+        Return a list of the points contained in a domain.

 
     .. py:method:: vertices(self)
     
 
     .. py:method:: vertices(self)
     

-        Return a list of the verticies of this set.
+        Return a list of the verticies of a domain.

         
     .. py:method:: faces(self)
     
         
     .. py:method:: faces(self)
     

-        Return a list of the vertices for each face of a set.
+        Return a list of the vertices for each face of a domain.

         
     .. py:method:: plot(self, plot=None, **kwargs)
     
         
     .. py:method:: plot(self, plot=None, **kwargs)
     

-        Return a plot of the given set.       
+        Return a plot of the given domain.