X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Fcone%2Fschur.py;h=edf282da30794fc33b246485e27d3b378817d03f;hb=d15174bdec505911105c332e02aea50e7b251e7e;hp=88b7d82722956f73a54ac429641c7143df99b749;hpb=c7572b7c827ee6ee604236c38a328ac69a3a7a2a;p=sage.d.git diff --git a/mjo/cone/schur.py b/mjo/cone/schur.py index 88b7d82..edf282d 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: @@ -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)