]> gitweb.michael.orlitzky.com - sage.d.git/blobdiff - mjo/cone/schur.py
mjo/cone: drop is_symmetric_p{s,}d() methods.
[sage.d.git] / mjo / cone / schur.py
index 88b7d82722956f73a54ac429641c7143df99b749..edf282da30794fc33b246485e27d3b378817d03f 100644 (file)
@@ -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:
 
@@ -68,7 +69,7 @@ def schur_cone(n, lattice=None):
         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:
@@ -83,7 +84,7 @@ def schur_cone(n, lattice=None):
         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)