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parent.dual_basis()
latex(parent.domain()
self.list()
range(len(dual_basis)
str(c)
latex(dual_basis[i])
c._is_atomic()
elif (-c)
_is_atomic()
left(%s\\right)
list(self)
R.derivation_module()
M.basis()
Family (d/dx, d/dy)
R.derivation(x)
list()
R.derivation(y)
list()
R.derivation(x)
R.derivation(y)
f.list()
self.parent()
self(x)
parent.dual_basis()
monomial_coefficients(self)
R.derivation_module()
M.basis()
Family (d/dx, d/dy)
R.derivation(x)
monomial_coefficients()
R.derivation(y)
monomial_coefficients()
R.derivation(x)
R.derivation(y)
f.monomial_coefficients()
self.parent()
dual_basis()
range(len(dual_basis)
self(dual_basis[i])
is_zero(self)
R.derivation()
f.is_zero()
is_zero()
self.list()
c.is_zero()
_richcmp_(self, other, op)
GF(5)
sum(v*R.derivation(v)
R.gens()
D.pth_power()
isinstance(other, RingDerivationWithoutTwist)
self.list()
other.list()
isinstance(other, RingDerivationWithoutTwist)
self.list()
other.list()
_bracket_(self, other)
bracket (that is the commutator)
R.derivation(x)
R.derivation(y)
Dx._bracket_(Dy)
Dx.bracket(x*Dy)
R.derivation_module()
M.random_element()
X.bracket(X)
M.random_element()
M.random_element()
X.bracket(Y.bracket(Z)
Y.bracket(Z.bracket(X)
Z.bracket(X.bracket(Y)
R.random_element()
X.bracket(f*Y)
X(f)
X.bracket(Y)
self.parent()
parent.domain()
parent.codomain()
TypeError("the bracket is only defined for derivations with same domain and codomain")
parent.dual_basis()
arg.append(self(other(x)
other(self(x)
parent(arg)
pth_power(self)
GF(5)
R.derivation(x)
Dx.pth_power()
pth_power()
pth_power()
R.derivation(y)
pth_power()
R.derivation(x)
Dx.pth_power()
Traceback (most recent call last)
Integers(10)
R.derivation(x)
Dx.pth_power()
Traceback (most recent call last)
GF(3)
R.derivation_module()
random_element()