Sentence examples for ones derived in from inspiring English sources

The results of this paper, including the ones derived in the non-fuzzy setting, are brand new and have not been reported in literature previously.

In Section 3.1, a new S-type eigenvalue inclusion set for tensors is given, and proved to be tighter than the existing ones derived in Lemmas 1.1-1.4 1.1-1.4

Equations analogous to the ones derived in this article can be computed for the more complicated model and used to determine the optimal imputation reference panel when several external panels are available.

The resulting extension of the genomic relationship matrix is the same as the one derived in Legarra et al. [ 5], but the details in the derivation are somewhat different and the derivation therefore sheds more light on this result.

Equation (12) is similar to the one derived in the standard approach.

b Correction factor that must be used with the CUR setup; the factor derived by Satoh (1986) and the one derived in this work are shown.

c Correction factor that must be used with the CUP loading geometry; the factor derived by Tang and the one derived in this work are shown.

We will detail later, in Subsection 3.3, the difference between the proposed algorithm in this paper and the one derived in [17].

We compare the tightness of two SEP approximations, that is, our expression given in (20) and one derived in [11, ] which is again shown in (21).

For the case of diagonal matrices, Φ jk va and Φ jk av are zero matrices, and the expression (7) coincides with the one derived in [15].

From the figure, it is apparent that the distribution derived from the Poisson distributed nodes yields a very good approximation; the waiting time obtained from the LAROD simulations is only slightly longer than the one derived in Section 4.2.2.