def __init__(self, polys, domain):
r"""
The Python constructor.
See :class:`DynamicalSystem` for details.
EXAMPLES::
sage: T.<x,y,w,u> = ProductProjectiveSpaces([1, 1], QQ)
sage: DynamicalSystem_projective([x^2, y^2, w^2, u^2], domain=T)
Dynamical System of Product of projective spaces P^1 x P^1 over Rational Field
Defn: Defined by sending (x : y , w : u) to
(x^2 : y^2 , w^2 : u^2).
"""
DynamicalSystem.__init__(self, polys, domain)
def __init__(self, polys, domain):
r"""
The Python constructor.
See :class:`DynamicalSystem` for details.
EXAMPLES::
sage: T.<x,y,w,u> = ProductProjectiveSpaces([1, 1], QQ)
sage: DynamicalSystem_projective([x^2, y^2, w^2, u^2], domain=T)
Dynamical System of Product of projective spaces P^1 x P^1 over Rational Field
Defn: Defined by sending (x : y , w : u) to
(x^2 : y^2 , w^2 : u^2).
"""
DynamicalSystem.__init__(self, polys, domain)
def __init__(self, polys_or_rat_fncts, domain):
r"""
The Python constructor.
See :class:`DynamicalSystem` for details.
EXAMPLES::
sage: A.<x,y> = AffineSpace(QQ, 2)
sage: DynamicalSystem_affine([3/5*x^2, y^2/(2*x^2)], domain=A)
Dynamical System of Affine Space of dimension 2 over Rational Field
Defn: Defined on coordinates by sending (x, y) to
(3/5*x^2, y^2/(2*x^2))
"""
L = polys_or_rat_fncts
# Next attribute needed for _fast_eval and _fastpolys
self._is_prime_finite_field = is_PrimeFiniteField(L[0].base_ring())
DynamicalSystem.__init__(self, L, domain)
def __init__(self, polys_or_rat_fncts, domain):
r"""
The Python constructor.
See :class:`DynamicalSystem` for details.
EXAMPLES::
sage: A.<x,y> = AffineSpace(QQ, 2)
sage: DynamicalSystem_affine([3/5*x^2, y^2/(2*x^2)], domain=A)
Dynamical System of Affine Space of dimension 2 over Rational Field
Defn: Defined on coordinates by sending (x, y) to
(3/5*x^2, y^2/(2*x^2))
"""
L = polys_or_rat_fncts
# Next attribute needed for _fast_eval and _fastpolys
self._is_prime_finite_field = is_PrimeFiniteField(L[0].base_ring())
DynamicalSystem.__init__(self, L, domain)