+
+ REFERENCES:
+
+ .. [SeegerSossaI] Alberto Seeger and David Sossa.
+ Critical angles between two convex cones I. General theory.
+ TOP, 24(1):44-65, 2016, doi:10.1007/s11750-015-0375-y.
+
+ SETUP::
+
+ sage: from mjo.cone.nonnegative_orthant import nonnegative_orthant
+ sage: from mjo.cone.schur import schur_cone
+
+ EXAMPLES:
+
+ Verify the claim that the maximal angle between any two generators
+ of the Schur cone and the nonnegative quintant is ``3*pi/4``::
+
+ sage: P = schur_cone(5)
+ sage: Q = nonnegative_orthant(5)
+ sage: G = [ g.change_ring(QQbar).normalized() for g in P ]
+ sage: H = [ h.change_ring(QQbar).normalized() for h in Q ]
+ sage: actual = max([arccos(u.inner_product(v)) for u in G for v in H])
+ sage: expected = 3*pi/4
+ sage: abs(actual - expected).n() < 1e-12
+ True
+
+ TESTS:
+
+ We get the trivial cone when ``n`` is zero::
+
+ sage: schur_cone(0).is_trivial()
+ True
+