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python_fn_calls

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R.derivation_module()
M.gens()
R.fraction_field()
K.hom([K(y)
K(x)
K.derivation_module(twist=theta)
Ring (twisting morphism: x |--> y, y |--> x)
M.gens()
NotImplementedError("generators are not implemented for this derivation module")
tuple(self._gens)
gen(self, n=0)
integer (default: ``0``)
R.derivation_module()
M.gen()
M.gen(1)
NotImplementedError("generators are not implemented for this derivation module")
ValueError("generator not defined")
basis(self)
R.derivation_module()
M.basis()
Family (d/dx, d/dy)
NotImplementedError("basis is not implemented for this derivation module")
Family(self._basis)
dual_basis(self)
derivations (which is that returned by the method :meth:`basis`)
d_i(x_i)
d_i(x_j)
R.derivation_module()
M.basis()
Family (d/dx, d/dy)
M.dual_basis()
Family (x, y)
NotImplementedError("basis is not implemented for this derivation module")
Family(self._dual_basis)
ring_of_constants(self)
d(x)
R.derivation_module()
M.basis()
Family (d/dx, d/dy)
M.ring_of_constants()
random_element(self, *args, **kwds)
R.derivation_module()
M.random_element()
random (x^2 + x*y - 3*y^2 + x + 1)
NotImplementedError("generators are not implemented for this derivation module")
self([ self._codomain.random_element(*args, **kwds)
range(len(self._gens)
some_elements(self)
R.derivation_module()
M.some_elements()
self.an_element()
Map (or RingMap)
RingDerivation(ModuleElement)
R.derivation(x)
R.derivation(y)
f(x*y)
__call__(self, x)
R.derivation(x)
R.derivation(y)
f(x^2 + 3*x*y - y^2)
self.parent()
domain()
self._call_(arg)
domain(self)
R.derivation(y)
f.domain()
f.domain()
self.parent()
domain()
codomain(self)
R.derivation()
f.codomain()
f.codomain()
R.derivation_module(S)
M.random_element()
codomain()
M.random_element()
codomain()
self.parent()
codomain()
RingDerivationWithoutTwist(RingDerivation)
_repr_(self)
R.derivation(x)
R.derivation(y)
self.parent()
parent.dual_basis()
parent.domain()
self.list()
range(len(dual_basis)
str(c)
c._is_atomic()
elif (-c)
_is_atomic()
_latex_(self)
R.derivation(x)
R.derivation(y)
latex(ddx)
latex(ddy)
latex(ddx + ddy)
self.parent()