Sentence examples for a vector subspace of from inspiring English sources

A sequence space is a vector subspace of w.

A linear code is a vector subspace of for some integer, called the length of the code.

Diem generalized these ideas by defining V as a vector subspace of (mathbb {F}_{q^{n}}) [3].

When H w, h is mentioned, we always suppose that h satisfies the property for H w, h being a vector subspace of C ( X × X ).

The set X_{rho}= Bigl{ x in X; lim_{lambdarightarrow0+} rho(lambda x) = 0 Bigr} is a vector subspace of X known as the associated modular vector space.

Let n be an arbitrary integer (possibly prime) and let V be a vector subspace of (mathbb {F}_{2^{n}}/mathbb {F}_{2}phantom {dot {i}!}) with dimension n ′.

We shall write w for the set of all complex sequences (x=(x_{k})_{k=0}^{infty}). Any vector subspace of w is called a sequence space.

A vector subspace (mathcal{B}) of (mathcal{A}) is a subalgebra if itself is an algebra with respect to the operations of (mathcal{A}).

When φ ≠ 0, the kernel F = Ker is a closed vector subspace of H, not equal to H, hence there exists a non-zero vector v orthogonal to F. The vector u is a suitable scalar multiple λv of v.

So (mathcal{N}(p)) is not a linear vector subspace of (mathbb{R}^{2}).

More precisely, FPPR method suggested to fix V as a random vector subspace of (mathbb {F}_{2^{n}}/mathbb {F}_{2}phantom {dot {i}!}) with dimension n ′.