Sentence examples for be a complex subspace from inspiring English sources

Since, for a non real irreducible representation (chi ) one may simply choose (M^{1,0}_{ chi }) to be a complex subspace of dimension (nu ( chi )) of ( M_{ chi }), and for (M_{ chi } = overline{M_{ chi }}), one simply chooses a complex subspace (M^{1,0}_{ chi }) of middle dimension.

Since ( alpha in GL (Lambda ) cong GL (2n, {mathbb {Z}})), the eigenspace (V_1 = Ker ( alpha - {{mathrm{text {Id}}}}) ) is a complex subspace defined over ({mathbb {Q}}), hence we have an Abelian subvariety begin{aligned} A_1 subset A, A_1 := V_1 / Lambda _1, quad Lambda _1 : = (V_1 cap Lambda ).

TX is a complete subspace of X.

Then, manifold learning algorithm is utilized to decompose feature matrix to be a subspace, that is, manifold subspace.

A plane would be a typical subspace.

Let be a closed subspace of.

Let G be a Chebyshev subspace.

Let (Ysubset X) be a closed subspace.

Let T be a Hermitian subspace.

You know it could be a 7-dimensional subspace inside a 15-dimensional space.

Let T be a J-Hermitian subspace.