code stringlengths 3 6.57k |
|---|
D.pth_power() |
R.random_element() |
Dp(f) |
D(D(D(f) |
D.bracket(Dp) |
self.parent() |
parent.domain() |
parent.codomain() |
TypeError("the derivation must have the same domain and codomain") |
parent.domain() |
characteristic() |
p.is_prime() |
TypeError("the domain of the derivation must have positive and prime characteristic") |
parent.dual_basis() |
range(p) |
self(res) |
arg.append(res) |
parent(arg) |
precompose(self, morphism) |
B.derivation(x) |
B.derivation(y) |
disappears
(since it vanishes on ``A``) |
D.precompose(A) |
C.hom([x^2 + y]) |
D.precompose(f) |
D.precompose(D) |
Traceback (most recent call last) |
D.precompose(C) |
Traceback (most recent call last) |
self.parent() |
Rings() |
Commutative() |
parent.domain() |
has_coerce_map_from(morphism) |
parent.domain() |
coerce_map_from(morphism) |
TypeError("the given ring does not coerce to the domain of the derivation") |
not (isinstance(morphism, Map) |
morphism.category_for() |
is_subcategory(Rings() |
TypeError("you must give an homomorphism of rings") |
RingDerivationModule(morphism.domain() |
parent.defining_morphism() |
M.dual_basis() |
arg.append(self(morphism(x) |
M(arg) |
postcompose(self, morphism) |
A.hom([QQ(0) |
QQ(1) |
A.derivation(x) |
A.derivation(y) |
Dx.postcompose(ev) |
Dy.postcompose(ev) |
dx(f) |
dy(f) |
Dx.postcompose(QQ) |
Traceback (most recent call last) |
Dx.precompose(Dy) |
Traceback (most recent call last) |
self.parent() |
Rings() |
Commutative() |
morphism.has_coerce_map_from(parent.codomain() |
morphism.coerce_map_from(parent.codomain() |
TypeError("the codomain of the derivation does not coerce to the given ring") |
not (isinstance(morphism, Map) |
morphism.category_for() |
is_subcategory(Rings() |
TypeError("you must give an homomorphism of rings") |
RingDerivationModule(parent.domain() |
parent.defining_morphism() |
M.dual_basis() |
arg.append(morphism(self(x) |
M(arg) |
extend_to_fraction_field(self) |
S.derivation() |
d.extend_to_fraction_field() |
D.domain() |
D(1/x) |
self.parent() |
parent.domain() |
fraction_field() |
parent.codomain() |
fraction_field() |
RingDerivationModule(domain, codomain) |
M(self) |
except (ValueError, NotImplementedError) |
M(self.list() |
RingDerivationWithoutTwist_zero(RingDerivationWithoutTwist) |
module
(e.g., when its domain is ``ZZ``, ``QQ``, a finite field, etc.) |
__init__(self, parent, arg=None) |
ZZ.derivation_module() |
M() |
isinstance(der, RingDerivationWithoutTwist_zero) |
TestSuite(der) |
run() |
isinstance(arg, list) |
len(arg) |
isinstance(arg[0], RingDerivation) |
not (isinstance(arg, RingDerivation) |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.