Sentence examples for the corresponding basis from inspiring English sources

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

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

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

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

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

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

The Stuttgart small-core pseudopotentials and corresponding basis sets were used for the core valence interactions.

The corresponding derivative basis functions are used to calculate the derivative of the basis function with respect to the angular frequency (sinusoid) and decay rate (damping function).

2.2.1, let ({ H_{sj} }) be a standard basis of (mathfrak {h}) and ({ vartheta _{sj} }) the corresponding dual basis.

The basis set 6-31G d,p) [17 20] was used for H, C, and O and the Stuttgart pseudopotential ECP60MWB and the corresponding ECP60ANO basis set [21, 22] were used for U.

Moreover, the dimension of the corresponding wavelet basis increases with the spline degree.