Sentence examples for matrix we characterize from inspiring English sources

By introducing a suitable Zak transform matrix, we characterize completeness and frame condition of Gabor systems, obtain a necessary and sufficient condition on Gabor duals of type I (resp. II) for a general Gabor frame, and establish a parametrization expression of Gabor duals of type I (resp. II).

Building on this, we generated regular patterns of re-entrant inclusions into a regular hexagonal cellular matrix and we characterized the apparent stiffness and Poisson ratio of the obtained structures.

Finally, we characterize matrix transformations on the sequence space (b_{c}^{a,b}(B^{(m)})).

In this section, we characterize matrix transformations from (b_{c}^{a,b}(B^{(m)})) into (ell_{p}), (ell_{infty}) and c.

We characterize (i) matrices which are nonexpansive with respect to some matrix norms, and (ii) matrices whose average iterates approach zero or are bounded.

Finally, we characterize certain matrix classes.

Finally, we characterize some matrix classes related to those spaces.

Lastly, we characterize some matrix classes related to those spaces.

In this paper, we characterize the matrix classes ((ell _{1},ell _{p}(widehat{F}))) ((1leq p

Further, we characterize some matrix classes on the space ℓ p ( F ˆ ) and examine some geometric properties of this space.

In this chapter, we characterize some matrix classes related to the binomial sequence spaces (b_{0}^{r,s}) and (b_{c}^{r,s}).