def __init__(self, R):
"""
EXAMPLES::
sage: from sage.combinat.species.generating_series import ExponentialGeneratingSeriesRing
sage: R = ExponentialGeneratingSeriesRing(QQ)
sage: R == loads(dumps(R))
True
"""
LazyPowerSeriesRing.__init__(self, R, ExponentialGeneratingSeries)
def __init__(self, R):
"""
EXAMPLES::
sage: from sage.combinat.species.generating_series import ExponentialGeneratingSeriesRing
sage: R = ExponentialGeneratingSeriesRing(QQ)
sage: R == loads(dumps(R))
True
"""
LazyPowerSeriesRing.__init__(self, R, ExponentialGeneratingSeries)
def __init__(self, R):
"""
EXAMPLES::
sage: from sage.combinat.species.generating_series import CycleIndexSeriesRing
sage: R = CycleIndexSeriesRing(QQ); R
Cycle Index Series Ring over Symmetric Functions over Rational Field in the powersum basis
sage: R == loads(dumps(R))
True
"""
R = SymmetricFunctions(R).power()
LazyPowerSeriesRing.__init__(self, R, CycleIndexSeries)
def __init__(self, R):
"""
EXAMPLES::
sage: from sage.combinat.species.generating_series import CycleIndexSeriesRing
sage: R = CycleIndexSeriesRing(QQ); R
Cycle Index Series Ring over Symmetric Functions over Rational Field in the powersum basis
sage: R == loads(dumps(R))
True
"""
R = SymmetricFunctions(R).power()
LazyPowerSeriesRing.__init__(self, R, CycleIndexSeries)
