Sentence examples for be the corresponding basis from inspiring English sources

Let (mathsf {Y}={y_0, y_1, ldots, y_{d-1}}) be the corresponding basis of the right module (Phi _G).

Let (T_i=T_{delta _{x_i}}) and (T_i'=T_{delta _{x_i}}') be the corresponding operators, defined using the basis ({delta _{x_i}}).

Since the corresponding basis is adapted to the composition of the signal, the transform can well reveal its characteristics.

The corresponding basis (mathsf {W}_infty ) of (C(X^omega, Bbbk )) is called the Walsh basis, see [51].

So is the corresponding behaviour.

B.N. is the corresponding author.

Olken is the corresponding author.

Here are the corresponding numbers for Chicago: 27.4°, 22°, 27°.

Mori is the corresponding author.

Therefore, we require the columns of V k,U k,k ∈  K to be the orthogonal basis of the corresponding subspaces, which is the condition (4).

They must be the basis of action.