Given a quotient space may be formed in a similar process by breaking a vector space into a number of similar linear subspaces.
22.
I wish to prove that if X is a normed space, then every proper linear subspace V of X has empty interior.
23.
If is a sublinear function, and is a linear functional on a linear subspace which is dominated by on, i . e.
24.
In particular, topological vector spaces are uniform spaces and one can thus talk about dense linear subspace of a complete topological vector space.
25.
In the case where " C " is a linear subspace of its Hamming space, it is called a linear code.
26.
The closed linear subspace of is said to be a "'complemented subspace "'of if is the projection from onto.
27.
One commonly says that this affine subspace has been obtained by translating ( away from the origin ) the linear subspace by the translation vector.
28.
Diffeomorphic Dimensionality Reduction or " Diffeomap " learns a smooth diffeomorphic mapping which transports the data onto a lower-dimensional linear subspace.
29.
The most important cases are sequences of real or complex numbers, and these spaces, together with linear subspaces, are known as sequence spaces.
30.
A linear subspace that contains all elements but one of a basis of the ambient space is a "'vector hyperplane " '.
