Polyhedra Module
================
+Polyhedron class allows users to build and inspect polyherons.
+
.. py:class:: Polyhedron
- Polyhedron class allows users to build and inspect polyherons. The following methods provide the properties of a polyhedron.
+ .. py:property:: equalities
+
+ Returns a list of the equalities in a polyhedron.
+
+ .. py:property:: inequalities
- .. py:method:: equalities(self)
-
- Return a list of the equalities in a polyhedron.
-
- .. py:method:: inequalities(self)
-
- Return a list of the inequalities in a polyhedron.
+ Returns a list of the inequalities in a polyhedron.
- .. py:method:: constraints(self)
-
- Return ta list of the constraints of a polyhedron.
+ .. py:property:: constraints
+
+ Returns a list of the constraints of a polyhedron.
- The following unary operations can be used to inspect a polyhedron.
-
.. py:method:: disjoint(self)
-
+
Returns a polyhedron as a disjoint.
-
+
.. py:method:: isuniverse(self)
-
- Return ``True`` if a polyhedron is the Universe set.
+
+ Return ``True`` if a polyhedron is the Universe set.
.. py:method:: subs(self, symbol, expression=None)
-
- Subsitutes an expression into a polyhedron and returns the result.
-To create a polyhedron, the user must use the folloing functions to define the equalities and inequalities which are the contraints of a polyhedron.
-
+ Substitutes an expression into a polyhedron and returns the result.
+
+To create a polyhedron, the user can use the following functions to define equalities and inequalities as the constraints.
+
.. py:function:: Eq(left, right)
-
- Create a constraint by setting *left* equal to *right*.
-
+
+ Returns a Polyhedron instance with a single constraint as *left* equal to *right*.
+
.. py:function:: Ne(left, right)
- Create a constraint by setting *left* not equal to *right*.
-
+ Returns a Polyhedron instance with a single constraint as *left* not equal to *right*.
+
.. py:function:: Lt(left, right)
-
- Create a constraint by setting *left* less than *right*.
-
+
+ Returns a Polyhedron instance with a single constraint as *left* less than *right*.
+
.. py:function:: Le(left, right)
-
- Create a constraint by setting *left* less than or equal to *right*.
-
+
+ Returns a Polyhedron instance with a single constraint as *left* less than or equal to *right*.
+
.. py:function:: Gt(left, right)
-
- Create a constraint by setting *left* greater than *right*.
+
+ Returns a Polyhedron instance with a single constraint as *left* greater than *right*.
.. py:function:: Ge(left, right)
-
- Create a constraint by setting *left* greater than or equal to *right*.
+
+ Returns a Polyhedron instance with a single constraint as *left* greater than or equal to *right*.