Sentence examples for associated basis from inspiring English sources
Thus, in those time-frequency bins, where source is dominant, the associated basis vector should correspond to the column of the mixing matrix associated with source.
Thus, after appropriate normalization, in frames with dominant source, the associated basis vector would also be equal to of the current frame.
Then the matrix recursion (Xi _{mathsf {B}}) coincides with the stencil map for the matrices of linear operators in the associated basis (mathsf {B}_infty ).
Then the matrices of (pi _n(g)) in the basis (mathsf {B}^{otimes n}) and of (pi _infty (g)) in the associated basis (mathsf {B}_infty ) are upper uni-triangular for all (gin G).
Then the matrix of (pi _infty (g)) in the associated basis (mathsf {B}_infty ), where (gin mathop {mathrm {Aut}}(X^*)), is d-automatic if and only if g is finite-state.
This figure shows that, starting from the very beginning time stage, we assume the dilated substates are the initial substates and the DSPs and SBIs are initialized to and, for all Next, in time stage, each group of substates calculates the CBM using the associated basis functions (9).
However, we must ensure that we can choose a good combination of the available retained snapshots; represent the retained snapshots in a stable RB basis, efficiently obtain the associated RB basis coefficients; and finally choose the retained snapshots (that is, the sample S N max ) in an optimal way.
Let (mathsf {B}_infty ) be the associated ordered basis of (C(X^omega, Bbbk )).
The coefficients associated with basis functions are estimated using a "sparsity-promoting" regression approach which is an ensemble of two techniques: least squares and ℓ1-norm regularization.
Although the nature of these variations and their potentially associated molecular basis have not been addressed, it is reasonable to postulate that and the efficacy of sorafenib on advanced RCC may vary in patients of different ethnic background.
