Sentence examples for and the corresponding basis from inspiring English sources

Then, we compute the coordinates of the pixel in the reference element (see Fig. 1) and the corresponding basis functions at the interpolation nodes.

The first comprising the basis functions, and the second encoding the weights of the corresponding basis functions.

If, a 1-to-1 correspondence between fixed bases of and gives rise to a linear map that maps any basis element of to the corresponding basis element of.

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].

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

For a quasi-one-dimensional multilayer system, where quantization appears only in the vertical (growth) direction, the corresponding basis functions have the form: (13).

For this purpose, the above Green's functions are replaced by the expressions in terms of the corresponding basis operators: (38) (38) (40).

The corresponding basis functions ϕ j ∈ V h, j = 1, …, m, are defined by ϕ j ( p i ) = δ i j (Kronecker's symbol).

The corresponding basis of (C(X^omega, Bbbk )) is equal to the set of all monomial functions begin{aligned} f(x_1, x_2, ldots )=x_1^{k_1}x_2^{k_2}cdots, end{aligned}where all but a finite number of powers (k_i) are equal to zero.

Having the identical geometry, the same reconstruction algorithm to reconstruct the single-energy CT images can therefore be applied to the first basis material projection data to obtain the corresponding basis material density image.