Sentence examples for unitary properties from inspiring English sources

However, the dispute is not merely verbal: there is no prima facie reason to think that there are no genuinely unitary properties, goods or principles.

From the unitary property of, it follows that (E1).

Employing the unitary property of and, it is not hard to verify that (37).

We focus now in more detail on the CFO compensation process based on the signal model (17), which is carried out after channel equalization by multiplying the equalized signal vector with the Hermitian matrix (note that matrix has unitary property).

Then, by using the unitary property of matrices U and V, we can compute the singular value associated to the singular vectors u 1 and v 1 by (d_{1} = boldsymbol {u}_{1}^{T}boldsymbol {K}_{xy}boldsymbol {v}_{1}).

It is straightforward to show that the process f k is zero mean if x k is zero mean and, due to the unitary property of F, it is found that (m_{mathrm {f}}^{(2)}=E[!|f_{k}|^{2}]=1) as long as (m_{mathrm {x}}^{(2)}=E[!|x_{k}|^{2}]=1).

Similar to MDL, if the signal is provided in terms of its DCT coefficients, by making use of the unitary property of the DCT matrix, it is feasible to find the GCV scorec as follows: GCV ( ℳ j ) = 1 N ∑ n = 1 N ( a n − a n ̂ ) 2 ( 1 − 1 N tr ( H ) ) 2. (32..

since the eigenvalue decomposition of the perturbation free matrix is given by P y ° y ° = U s Λ s U s H, and using the unitary property of U s ( i.e.,  U s H U s = I ), we get, Δ U p H = - U p H Δ P yy U s [ U s Λ s ] # (3.5).

This restricted version of circumscription is shown to have the unitary redundancy property: a CNF formula is redundant (it is equivalent to one of its proper subsets) if and only if it contains a redundant clause (it is equivalent to itself minus one clause); default logic does not have this property in general.

This comes, however, with the lack of knowledge of the unitary and dynamic properties of these connections (see references above) and the incomplete staining of the dendrites of the target (parvalbumin) cells, at least when indirect reference data are taken into consideration (Wang et al. 2002; Thomson et al. 2002).

The apical BK channels we describe are normally present mainly in surface cells in rat and human distal colon at relatively low density, but their basic biophysical properties (unitary conductance, K+ Na+ selectivity, Po) are identical in both epithelia (8, 31).