X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Fcone%2Fschur.py;h=1fa1e52407fe2782b3852cf1482970724abb2003;hb=07d8d3f5ce02c2d2693244d541561f264b5037c7;hp=88b7d82722956f73a54ac429641c7143df99b749;hpb=c7572b7c827ee6ee604236c38a328ac69a3a7a2a;p=sage.d.git

diff --git a/mjo/cone/schur.py b/mjo/cone/schur.py
index 88b7d82..1fa1e52 100644
--- a/mjo/cone/schur.py
+++ b/mjo/cone/schur.py
@@ -7,7 +7,8 @@ from sage.all import *
 
 def schur_cone(n, lattice=None):
     r"""
-    Return the Schur cone in ``n`` dimensions.
+    Return the Schur cone in ``n`` dimensions that induces the
+    majorization ordering.
 
     INPUT:
 
@@ -64,11 +65,10 @@ def schur_cone(n, lattice=None):
     [GourionSeeger]_, whose elements' entries are in non-increasing
     order::
 
-        sage: set_random_seed()
         sage: n = ZZ.random_element(10)
         sage: K = schur_cone(n).dual()
         sage: x = K.random_element()
-        sage: all( x[i] >= x[i+1] for i in xrange(n-1) )
+        sage: all( x[i] >= x[i+1] for i in range(n-1) )
         True
 
     TESTS:
@@ -80,10 +80,9 @@ def schur_cone(n, lattice=None):
 
     The Schur cone induces the majorization ordering::
 
-        sage: set_random_seed()
         sage: def majorized_by(x,y):
         ....:     return (all(sum(x[0:i]) <= sum(y[0:i])
-        ....:                 for i in xrange(x.degree()-1))
+        ....:                 for i in range(x.degree()-1))
         ....:             and sum(x) == sum(y))
         sage: n = ZZ.random_element(10)
         sage: V = VectorSpace(QQ, n)