Sentence examples for basis of the space from inspiring English sources

Let be an orthogonal basis of the space.

Let, and let be the unit basis of the space.

Let be an Orlicz function with, and let denote the unit vector basis of the space.

Furthermore, we speak of some inclusion relations and give the Schauder basis of the space (b^{r,s}_{p}).

To describe algebraically the discrete problem (8), it is necessary to choose a basis of the space (X_{delta}^).

Since (mathcal{A}_{0}) is a self-adjoint positive operator with compact inverse, ({omega_{j}}_{j=1}^{infty}) forms a basis of the space (mathbb{H}).

The problem is formulated on the basis of the state space formalism for axisymmetric deformation of a transversely isotropic body.

Yet, to this day, there are only a few studies that focus on the automated classification of cellular automata on the basis of the space-time diagrams they evolve.

Following the Lyapunov-Schmidt reduction technique [25], we know that X = X 1 ⊕ X 2 on the basis of the spaces defined above.

The test specimens are grouped into four series on the basis of the spacing between their steel stirrups: 140, 203, 406 and 610 mm.

Let (omega ) be a free ultrafilter on (mathbb N), and let ({e_i }_{i=1}^{infty }) be a basis for ({mathcal B}) obtained by successively enlarging basis of the spaces (W_i) (cf. [32, Proposition 2.1]).