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Subsections
Given an vector space V and a positive integer i, return the
i-th generating element of V.
BaseField(V) : ModTupFld -> Fld
Given a K-vector space V, return the field K.
Given a K-vector space V which is a subspace of K(n),
return n.
Given an vector u belonging to a subspace of the vector space K(n),
return n.
The dimension of the vector space V.
The generators for the vector space V, returned as a set.
Ngens(M) : ModTupFld -> RngIntElt
The number of generators for the vector space V.
Given a K-vector space V which is a subspace of K(n),
return n.
Given an vector u belonging to a subspace of the vector space K(n),
return n.
The generic vector space containing V, i.e. the full vector space in
which V is naturally embedded.
The power structure for the vector space V (the set consisting
of all finite dimensional vector spaces).
Returns true if the element v lies in the vector space V, where v and V
belong to a common space.
Returns true if the element v does not lie in the vector space V, where v and V
belong to a common space.
Returns true if the K-vector space U is contained in the K-vector space V,
where U and V are subspaces of some common vector space.
Returns true if the K-vector space U is not contained in the K-vector space V,
where U and V are subspaces of some common vector space.
Returns true if the subspaces U and V are equal, where U and V
belong to a common vector space.
Returns true if the subspaces U and V are not equal, where U and V
belong to a common vector space.
Sum of the subspaces U and V, where U and V must be
subspaces of a common vector space.
Intersection of the subspaces U and V, where U and V must be
subspaces of a common vector space.
Replace U with the intersection of the subspaces U and V, where U
and V must be subspaces of a common vector space.
Intersection of the subspaces of the set or sequence S, which must be
subspaces of a common vector space.
The tensor (Kronecker) product of the vector spaces U and V, generated
by all the tensor products of elements of U by elements of V.
The resulting vector space has degree equal to the product of the degrees
of U and V.
Given a subspace U of the vector space V, construct a complement
for U in V (a subspace of V).
Given a subspace U of the vector space V over a finite field,
return a transversal for U in V as a set of vectors.
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Version: V2.19 of
Mon Dec 17 14:40:36 EST 2012